EKERE MATTHIAS UGWU PG/M.ED/03/34951 ANALYSIS AND CLASSIFICATION OF STUDENT’S LEARNING DIFFICULTIES IN THE WRITING AND BALANCING OF CHEMICAL EQUATIONS DEPARTMENT OF SCIENCE EDUCATION FACULTY OF EDUCATION Ugwoke Oluchi C. Digitally Signed by: Content manager’s Name DN : CN = Webmaster’s name O = University of Nigeria, Nsukka OU = Innovation Centre ANALYSIS AND CLASSIFICATION OF STUDENT’S LEARNING DIFFICULTIES IN THE WRITING AND BALANCING OF CHEMICAL EQUATIONS BY EKERE MATTHIAS UGWU PG/M.ED/03/34951 DEPARTMENT OF SCIENCE EDUCATION FACULTY OF EDUCATION UNIVERSITY OF NIGERIA, NSUKKA. NOVEMBER, 2014 i TITLE PAGE ANALYSIS AND CLASSIFICATION OF STUDENT’S LEARNING DIFFICULTIES IN THE WRITING AND BALANCING OF CHEMICAL EQUATIONS BY EKERE MATTHIAS UGWU PGIM.ED/03/34951 A PROJECT PRESENTED TO THE DEPARTMENT OF SCIENCE EDUCATION, FACULTY OF EDUCATION, UNIVERSITY OF NIGERIA, NSUKKA IN FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTERS IN EDUCATION (M.ED). SUPERVISOR: PROF. Z.C. NJOKU NOVEMBER, 2014 ii CERTIFICATION Ekere, Matthias Ugwu, a postgraduate student of the department of Science Education, University of Nigeria, Nsukka, with Registration number PG/M.Ed/03/34951 has satisfactory completed the requirements for course and research work for the degree of MASTER of EDUCATION (CHEMISTRY). The work embodied in this thesis is original and has not been submitted in part or full for any other Diploma or Degree of this or any other University we accept it as conforming to the required standard. _______________ _________________ Ekere, Matthias U Student Prof. Z.C. Njoku Supervisor iii APPROVAL PAGE This project has been approved for the Department of Science Education, University of Nigeria, Nsukka in partial fulfillment of the requirements for the award of Masters in Education (M.Ed) in Measurement and Evaluation. By ____________________ Prof. Z.C. Njoku Supervisor _____________________ External Examiner ____________________ Dr. F. O. Ezeudu Internal Examiner __________________ Prof. Z.C. Njoku Head of Department ________________________ Prof. Uju C. Umoh Dean Faculty of Education iv DEDICATION To my wife, Ekere, Appolonia Uchenna and to all my children. v ACKNOWLEDGMENTS Thanks to the Almighty God who in his infinite mercy has made the completion of this work successful, it is a thing of joy that this work has come to add to the existing piles of knowledge. Honestly, many thanks should go to Prof. Z.C Njoku, the able supervisor, who actually displayed a friendly and brotherly co-operation that made it possible for this work to be completed at last. The Lord will reward him abundantly for all he did for me. Big appreciation should also go to Prof. B.G. Nworgu, Prof. U.M. Nzewi, Prof. F.A Okwo, Dr J.C. Adigwe, Dr (Mrs’) F. Ezeudu and Dr. C.R Nwagbo, the intellectual crew that took pains to panel beat this work to this desired shape in both the design and content. The same appreciation goes to Dr, R.O. Ezike, Dr. RU. Ezike, Dr. E.U. Idu, and Mr. Ugwuanyi Christian for their wonderful support during this work. Many thanks also are extended to the former head of department of chemistry Federal College of Education, Eha-Amufu, Mr. C. C. Eze, for his wonderful contribution, and to my other colleagues O.J. Ugwu, CO.D. Odo, W.O.Ugwuja and Sampson Ogbonna. The gratitude is also extended to many brothers and sisters including, Edwin, Dan, Julius, Clementina, Justina and Benedeth, Mrs Appolonia Ekere (my darling wife) is appreciated for her persistent vi prayers and understanding. To our children Chinedu, Chikwado, Ekene, Chidinma and Chukwuemeka; God bless you all. Worthy of mention also are friends and relations, Celestine, Fidelia, Esther. Finally, big thanks go to all the typists who helped to make this work a wonderful job and others who may have contributed in one way or the other to the success of this work. God bless you all. Ekere, M.U PG’M.ED/03/34951 Science Education, UNN. vii ABSTRACT Writing and balancing of chemical equation is so fundamental that without mastery in it, students find every other aspect of chemistry difficult. This not withstanding, it remains a difficult chemical or conceptual skill to learn by the majority of the students in secondary school. This study was therefore carried out to analyze and classify the students’ learning difficulties in the writing and balancing of chemical equation. In carrying out this research, cross- sectional developmental survey design was employed. The sample of the study was 1130 chemistry students (SS 1 and SS111 from seventeen (17) secondary schools in Nsukka Educational Zone. The study was guided by six research questions and four research hypotheses. The analysis of data was carried out using frequencies and percentages. The chi- square was used to test the dependence of students’ difficulties in writing and balancing chemical equation on sex and across various class levels. The findings of the study revealed that student have difficulty in writing and balancing of chemical equation at the various class levels of senior secondary school because (1) they lack knowledge of valency of atoms in the formula of compounds reacting (ii) they lack knowledge of correct formulae of compounds (iii) they have poor knowledge of rules guiding the balancing of equation (iv) they interface or change the formulae of compounds during balancing (v) they are not able to check each atom on both sides of the equation to make sure that the coefficient used are all whole numbers and are reduced to their lowest terms. Finally, the research suggested that similar studies be extended to other areas of chemistry and order location. viii TABLE OF CONTENTS Title Page Certification Approval Page Dedication Acknowledgements Table of Contents List of appendices List of tables List of figure Abstract i ii iii iv v vi vii viii ix x CHAPTER ONE - INTRODUCTION Background of the study Statement of the Problem The Purpose of the Study Significance of the Study Scope of the Study Research Questions Hypothesis 1 4 5 5 6 6 7 CHAPTER TWO - REVIEW OF LITERATURE Conceptual framework Chemical formulae Writing Chemical formulae Balancing Chemical Equation Theoretical Framework Effective Learning Strategies in Science Gender as a Factor in Students’ Science Achievement Students’ Difficulties in the Learning of Chemistry at SSCE level Overload of students’ working memory space Concept formation Review of Empirical Studies Summary of Literature Review 19 12 13 15 16 19 22 23 25 26 27 28 CHAPTER THREE - RESEARCH METHOD Research Method Design of the Study Area of Study Population of the Study 30 30 31 31 ix Sample and Sampling Technique Instrument for Data Collection Validation of the Instrument Reliability of the Instrument Method of Data Collection Method of Data Analysis 31 32 33 34 34 35 CHAPTER FOUR:- PRESENTATION OF RESULTS Research questions one Research questions two Research questions three Research questions four Research questions five Research questions Six Summary of the Findings 36 39 42 45 49 52 55 CHAPTER FIVE: DISCUSSION, CONCLUSION AND SUMMARY Discussion of Results 57 Educational implications of the Study 62 Recommendations 63 Summary of the study 64 Suggestions for further studies 67 References Appendices I. Writing and Balancing Chemical Equation Diagnostic Test (WBCEDT II. Reliability of the Instrument III. Hypothesis One (HO1) IV. Hypothesis two (HO2) V. Hypothesis Three (HO3) VI. Hypothesis four (HO4) 69 75 81 85 87 89 1 CHAPTER ONE INTRODUCTION Background of the study Writing and balancing of chemical equation is so fundamental that without mastery in it, students find every other aspect of chemistry difficult. Poor foundation in the teaching and learning of writing and balancing of chemical equation makes the learning of chemistry not effective. When a student cannot write and balance chemical equations correctly, he cannot communicate effectively within the chemistry community. The medium of expression in chemistry is the chemical equation because formulae show chemistry at a stand still while equation shows chemistry in action. Writing and balancing of chemical equation had been reported as a difficult concept in chemistry. In his early study, Johnstone (1974) reported that the problem areas in the subject chemistry, from the pupils’ point of view, which persisted into university education, were the mole, chemical formulae and equation among others. The problem of writing and balancing of chemical equations appear to be persistent up till now. The West African Examination Council (WAEC) Chief examiners report had consistently been reporting candidate’s poor performance in writing and balancing of chemical equation. In WAEC Chief Examiner’s report 2003, it was stated that candidates performed poorly in the area of writing of formulae and correct balanced chemical equation. In 2005, the Chief Examiner’s report stated that candidate’s 1 2 weaknesses included poor knowledge of symbols, formulae and equation while in 2007, it was stated that candidate’s weaknesses included their inability to correctly write balanced chemical equations. In 2010, it was reported that candidates lost marks because of their inability to balance chemical equation. With these reports, it is clear that the writing and balancing of chemical equation is a problem area, even though it is the basis of stoichiometry, an important part of chemistry. The writing and balancing of chemical equation are also of great importance because of the information given by chemical equation. Bajah Teibo, Onwu, Obikweze (1999) stated that the pieces of information conveyed by chemical equation include:(i) The molar mass of each compound can be calculated from the relative atomic masses of the elements forming the compound. (ii) Reactions between substances whether elements or compounds, take place in simple whole numbers of moles of those substances. Thus in the equation, CuSO4(aq) + BaCl2(aq) CuCl2(aq) + BaSO4(s) I mole of CuSO4 reacts with one mole of BaCl2 to form 1 mole of CuCl2 and 1 mole of BaSO4 (iii) From the molar mass, the reacting masses of the substance are known. 1 mole of CuSO4 has a mass of 159.6g; 1 mole of BaCl2208g; 1 mole of CuCl2, 134.6g and 1 mole of BaSO4,233g. These are the ratios of the masses of the 3 reactants and of the products. From these ratios, any reacting mass can be found. (iv) If a reactant or a product is a gas, then its volume can be determine from its mass, by using the fact that the molar volume is 22.4dm3 at STP (Standard Temperature and Pressure) and correcting for the temperature and pressure of the external conditions. (v) The letter ‘s’, ‘g’ and ‘l’ donate solid, gas and liquid respectively while ‘aq’ donates aqueous, as illustrated in the following equation. CuCO3(s) + H2SO4(aq) CuSO4(s) + CO2(g) + H2O (l) Since these pieces of information are needed for a sound foundation in chemistry by students, proper attention should be paid to the writing and balancing of chemical equation. It is obvious therefore that while the writing and balancing of chemical equations is useful in the teaching of modern chemical theory, and practical it remains a difficult chemical or conceptual skill to learn by the majority of the students in secondary schools. Since the writing and balancing of chemical equation are important in the learning of chemistry it follows, therefore that when students are deficient in the understanding of the writing and balancing of chemical equation their overall performance in WAEC and NECO examinations will be poor. In this light, there is need to find out the specific difficulties encountered by the students in the understanding of the writing and balancing chemical equation. 4 This is a major focus of this study. The study is also interested in finding out whether the difficulties persist as the students acquire more chemical knowledge from SS I to SS III and to find out whether the difficulties depend on gender. Statement of the Problem Writing and balancing of chemical equations play important roles in diverse areas of chemistry, such as; stoichiometry, chemical arithmetic, Faraday’s laws of electrolysis, volumetric analysis. Writing and balancing of chemical equation are very fundamental and very important chemical skill in chemistry. Contrary to expectations, most secondary school chemistry students are yet to achieve a high level of proficiency in writing and balancing chemical equations; and in solving problems related to the topics where the knowledge is applied Chief Examiners report on the West African Senior School Certificate on students’ weakness in writing and balancing chemical equations. For example, the WAEC Chief Examiners report on the May/June 2005 reported that candidates weakness included poor knowledge of symbols, formulae and equation and inability to write correct balanced equations. There were similar reports on the candidates inability to write correct balanced equation in 2007 and 2010 WAEC reports. The problem of this study is therefore to identify the students difficulties in writing and balancing chemical equations and to classify the problems as the students progress in the chemistry study from SS1 to SS3 and to find out whether the difficulties depend on gender. 5 The Purpose of the Study This study is to identify, classify the learning difficulties encountered by chemistry students is writing and balancing of chemical equations. Specifically the study in aimed at finding out:i. Students’ difficulties in writing chemical formula. ii. Students’ difficulties in writing chemical equation. iii. Students’ difficulties in balancing chemical equation. iv. Classification of the students learning difficulties in writing chemical equation across class levels. v. Classification of the students difficulties in balancing chemical equation across class levels. Significance of the Study The study, which is aimed at analyzing and classifying the students’ difficulties in writing and balancing of chemical equations is significant in a number of ways. In the first instance, knowledge of students’ difficulties in writing and balancing of chemical equations will motivate the teachers to explore better methods of teaching the students the skill of writing and balancing of chemical equations. In effect, when chemistry teaching is geared towards solving the identified problems encountered by students in writing and balancing of chemical equation, the students’ understanding of chemistry will be significantly enhanced. Also, knowledge of students’ difficulties in the 6 understanding of the writing and balancing of chemical equations will be useful to authors and publishers of chemistry textbooks in determining areas of emphasis in the course of revision of chemistry textbooks and also in the publication of new ones. The result of this study would help in making a strong proposal to the curriculum planners for the introduction of appropriate teaching techniques that will help to alleviate the difficulties encountered by SSS chemistry students in writing and balancing of chemistry equations. Finally, the study would contribute to the corpus of research works in chemistry teaching and learning. Scope of the Study The scope of this study will be limited to the identification of students’ difficulties in writing and balancing of chemical equations in senior secondary schools. The reasons for limiting the study to this area is because the concept/skills are fundamental to the understanding of chemistry. Research Questions The following research questions guided this study. 1. What are the difficulties encountered by students in writing chemical equations at the various class levels of senior secondary school. 2. What are the difficulties encountered by students in balancing chemical equations at various class levels of the senior secondary school. 7 3. To what extent does the type of difficulty encountered by students in the writing of chemical equations depend on students’ gender? 4. To what extent does the type of difficulty encountered by students in balancing chemical equations depend on gender? 5. Which of the difficulties in writing of chemical equation persist across class levels? 6. Which of the difficulties in balancing of chemical equation persist across various class levels? 1.6 Hypothesis HO1: Students’ difficulties in writing chemical equations do not depend on gender. HO2: Student difficulties in balancing chemical equations do not depend on gender. HO3: Students’ difficulties in balancing chemical equations do not depend on class level. 8 CHAPTER TWO REVIEW OF LITERATURE The literature review is presented under the following sub-headings Conceptual Framework (i) Chemical symbol (ii) Chemical formulae (iii) Writing chemical formulae (iv) Writing chemical equations (v) Balancing chemical equations. Theoretical Framework Effective learning strategies in science Gender as a factor in students’ chemistry achievement Students Difficulties in the learning of Chemistry at SSCE level. (i) Curriculum content (ii) Overload of students’ working memory space (iii) Concept formation. Review of Empirical Studies Summary of Literature Review 8 9 Conceptual framework Chemical Symbols. Chemists have always sought shorthand for describing substances and the changes which they undergo. John Dalton and Antoine Lavoisier made little pictures to represent the atoms. Berzelius, a Swedish scientist who lived at the same time as Dalton, introduced the modern symbols of representing elements. In the modern system of representing elements, certain principles are applied (Bajah, 1999). a. The first principle uses the first letter of the name of an element as its symbol. Examples include: Element Symbol Hydrogen H Boron B Carbon C Nitrogen N Oxygen O Fluorine F Phosphorus P Sulphur S Iodine I 10 b. The second principle uses the fact that should the names of two elements begin with the same alphabet, the first two letters, or in some cases the first letter and one other are used. Example c. Element Symbol Helium He Lithium Li Berylium Be Neon Ne Magnesuim Mg Alumimium Al Silicon Si Chlorine Cl Argon Ar Calcium Ca Chromium Cr Manganese Mn Zinc Zn Bromme Br Barium Ba The third principle states that in some other cases, especially where the names of several elements begin with the same letters, the Latin names of 11 elements are used. As in (a) and (b) above, either the first letter of the Latin name or the first letter and one other, are used. Examples include: Element Latin name Symbol Sodium Natrium Na Potassium Kalium K Iron Ferrum Fe Copper Cuprum Cu Silver Argentum Ag Tin Stannum Sn Gold Aurum Au Mercury Hydrargyrum Hg Lead Plumbum Pb. Writing atomic symbols correctly is the basic foundation that should be given to the students to enable them write chemical formulae correctly and the above principles should be learnt properly. It would be observed that when an atomic symbol is represented by one alphabet, it must be written in capital letter and when it is represented by two alphabets the first letter is written in capital while the second is in small letter, example ‘H’ for hydrogen and ‘Mg’ for magnesium and not ‘h’ for hydrogen and ‘mG' for magnesium. When the 12 students learn how to write these symbols that represent the atoms correctly, writing the chemical formulae will not pose any difficulty, (Nworji 2004). Chemical Formulae A symbol represents an atom whereas a formula stands for a molecule. If a molecule has only one atom, the symbol and the formula are the same. When a molecule contains two or more atoms of the same kind, a small subscript is used to indicate the number of atoms present. (Ababio 2007, Zumdahl and Zumdahl 2003) A molecule of Hydrogen containing two atoms of hydrogen is written as H2; Nitrogen as N2; while Ozone which contains three atoms of oxygen is written as O3. Formulae for compounds contain the symbols for the different elements that are combined chemically to form the compound. The two or more atoms that are joined together are represented by writing their symbols side by side. Thus, a calcium oxide molecule is CaO, Iron (II) sulphide is FeS. There may be few exceptions for example in H2O2 where oxygen is – 1. If more than one atom of an element is present in a compound a numeral is placed after and below the symbol to indicate the number of atoms of that element. Thus FeCl2 means that a molecule of iron (II) chloride contains one Fe (iron) atom and two Cl (chlorine) atoms. The formula HCl for hydrogen chloride indicates that I atom of hydrogen and I atom of chlorine are present in the molecule. Also, the number 1 is understood before the entire formula unless 13 another numeral is used. Three molecules of hydrogen chloride are thus represented by 3HCl. (Duran, Gold, Haas and Norman 2003) Sometimes parentheses are used in the formulae of some compounds, such as Mg (NO3)2, Fe2 (SO4)3 etc. In such case, the numerals outside the parentheses are multipliers. They show the number of times that the ions within the parentheses are to be taken. Thus the compound magnesium trioxonitrate (V), Mg(NO3)2 contains one magnesium atom two nitrogen atoms and six oxygen atoms. There are rules, which when followed by students will enable them to write correct chemical formulae. These are shown below. Writing Chemical Formulae If one cannot write correct chemical formulae, it will be difficult for one to balance a chemical equation correctly. To enable us write chemical formulae, a system of small whole numbers, related to the combining ratios of elements, has been developed on the basis of arbitrary rules. Such numbers are called oxidation numbers or oxidations states. (Ababio 2007) Four of the arbitrary rules are: 1. An uncombined element has an oxidation state of zero examples are O2, Fe, Na and H2 2. In a compound, the more electronegative elements are assigned negative oxidation states, and the more electropositive (or less electronegative elements) are assigned positive states. Example, in a 14 compound KCl, K is more electropositive than Cl and is thus assigned an oxidation state of +1. Cl is therefore assigned -1. 3. In a compound, the sum of the positive oxidation states and negative oxidation states is zero. 4. In an ion, the sum of the oxidation number is equal to the charge on the ion. An ion can be an atom that carries a charge or a group of atoms that carries a charge. Such groups that carry either a positive or a negative charge are called radicals. An acid radical is thus a small group or cluster of atoms carrying a negative charge that keeps its identity, or keeps together, in many reactions. Here are some examples with their oxidation numbers, (Bajah 1999, Chang. 2002) Oxidation no -1 -2 -3 -NO2 -CO3 -PO3 -NO3 -SO3 -PO4 -ClO3 -SO4 -MnO4 -CrO4 -OH -HCO3 -HSO4 15 Here are also some examples of elements with their oxidation numbers. Elements Oxidation numbers Cl -1 F -1 Br -1 I -1 O -2 (-1 in peroxides H +1 (but -1 in metal hydrides. When the symbols for elements and the oxidation numbers assigned to them are known, one is more equipped to write the correct formulae for chemical compounds. The following rules will help, (Bajah, 1999, Onasanya, and Orowale, 2007). 1. write the symbols for the element and radicals 2. Write the oxidation numbers above and to the right of the symbols. 3. now write the symbols again, reversing the oxidation numbers, omitting the sign, and writing the numbers (but not 1) below and to the right of the symbols. Balancing Chemical Equation A chemical equation describes what happens in a chemical reaction. The equation identifies the reactants (starting materials) and products (resulting 16 substance), the formulas of the participants, the phases of the participants (liquid, gas, solid) and the amount of each substance. Balancing a chemical equation refers to establishing the mathematical relationship between the quantity of reactants and products. The quantities are expressed as grams or moles. There are essentially three steps to the process. 1. Write the unbalanced equation * Chemical formulas of reactants are listed on the left hand side of the equation. * Products are listed on the right hand side of the equation * Reactants and products are separated by putting an arrow between them to show the direction of the reaction. Reactions at equilibrium will have arrows facing both direction. Theoretical Framework Writing and balancing of chemical equations form the bed rock upon which chemistry education is built. Gagne (1977) in his theories of learning hierarchy and learning prerequisite, posited that students can obtain the prerequisite knowledge of concepts and principles only if they have acquired the underlying capabilities (in this case, rules guiding the writing and balancing chemical equations) which are needed to practice and understand science. In support of this learning theory, Nworji (2004), opined that students have difficulty in writing chemical formula of compounds because they exhibit poor 17 knowledge of the rules guiding the writing of chemical formulae of compounds. If the students are properly grounded on the rules guiding writing and balancing of chemical equations, writing and balancing of equations (which is the language of chemistry) will not pose any difficulty to them. Gagne’s theory also gives us some insights into how learning occurs in the classroom. According to him, the type of learning that occurs in the classroom requires students to have the prerequisite knowledge to deal with certain levels of learning tasks. It is important that teachers bear this is mind in their preparation of lessons. It would be futile to expect students to engage in problem solving when they are not capable of discrimination or formulating rules or principles. Before a student can write chemical formulae and balance chemical equation of a reaction, he or she must have acquired sufficient knowledge of the chemical symbols and rules guiding the writing of chemical formulae, and then the writing and balancing of equations. Rules or principles are better acquired through well organized and sequenced teaching rather than being left for students to discover for themselves. David Ausubel’s theory of reception learning/Expository teaching is another theory that gives support to this study. According to Ausubel, learning occurs mainly through reception rather than through discovery. Many students need teachers for school learning. Concepts and principles are better learned when they are presented and understood but are not discovered. Ausubel called this method expository teaching with emphasis on meaningful reception 18 learning. Ausubel observed that information prepackaged by a teacher is organized and can be easily connected with the students’ existing knowledge. He emphasized prior knowledge as the key to understanding new materials or information. To facilitate reception learning, the teacher structures the learning situation so that meaningful learning can take place. Example, in writing and balancing of chemical equations, the teacher teaches the students chemical symbols, atomicity, valencies of elements and radicals followed by the rules guiding the writing of formulae and the rules guiding the writing and balancing of chemical equations otherwise, no meaningful learning can take place. Ausubels’ expository teaching has three phases. 1. Presentation of advance organizer which is an introductory statement broad enough to encompass the information to be presented and to relate it to the students’ existing knowledge. Advance organizer gives the students the information they will need to make sense of the upcoming lesson and to help them remember and use information they already have but which they may not realize is relevant to the lesson (Woolfolk, 1998). 2. Presentation of learning task or material by presenting the subordinate content or learning material. and 3. Strengthening cognitive organization. This final phase involves students putting together what has been taught. All information must be integrated into what students already know if it is to be remembered. 19 These learning theories constitute the framework on which this study is built. Ausubel’s findings are confirming that if the writing and balancing of chemical equations are not well handled there will be difficulties in students understanding the concepts. It is a common knowledge that where the foundation is weak, the entire structure on it will not be strong. If the students are not well grounded in the language of chemistry. It will be difficult for them to understand chemistry generally. Effective Learning Strategies in Science (i) Use of metacognitive instructional strategies. Over the years, the increasing fund of chemical knowledge including its fact, concepts and general conclusion have led to the reorientation of the teaching of chemistry in a way that is designed to increase students’ scientific literacy, sustain their interest in the subject and help develop relevant problem solving skill. (Ekewere, 1997) In spite of these attempts to make chemistry more meaningful and relevant to students, conceptual difficulty with various chemical concepts have been established in a number of studies (Bello 1990) However, from the point of view of improving students’ learning and performance in writing and balancing of chemical equations, it has become necessary to seek innovative strategies to enhance the quality of instruction, and learning in chemistry. Basically metacognitive strategies are strategies that 20 empower the learner to take charge of his/her own learning in a highly meaningful fashion, metacognitive learning in evident wherever a person spontaneously produces or acquires some general strategy, matches it with motive and task to produce a desired outcome (Ekewere, 1997). This study explores the metacognitive strategies of concept mapping and framing with a view to finding the efficacy or otherwise of the strategies aimed at improving the teaching and learning of writing and balancing of chemical equation. Concept mapping is a strategy for diagrammatic presentation of links and inter-relationships, between and among concepts for the purpose of organizing and representing knowledge structure in memory. Framing is a strategy for visual display of substaintial amount of information in form of a grid, matrix or framework. Frames include labels of main ideal in rows and columns and allow information about the main ideal to be entered in slots form of facts, examples, concepts, descriptions, explanations, processes and procedures to show relationship among them. In teaching and learning of writing and balancing of chemical equations, concept mapping and framing can be used to show the relationship between, symbols, valences/oxidation numbers of atoms, radicals and their oxidation and numbers, writing of chemical equations and balancing them. (ii) The use of information communications technology (ICT) Another effective strategy for students to learn chemistry in general and writing and balancing of chemical equations in particular is the use of ICT 21 facilities; Akudolu (2002) said that effective education can be achieved through active teaching and learning with adequate relevant and effective instructional materials like the information and communication technology (ICT) facilities. Jajua (2006) opined that one of the recent drives of the society towards making education relevant is making ICT a common feature of the education process. ICT is that process of utilizing information and data dissemination through electronic facilities such as computers, videos, radios and phones. Using the computer, writing and balancing of chemical equation can be programmed and stored in the computer or in software packages as tutorials, drill and practice and simulation. Each of these options yields immediate feedback to the learner and teacher, with the programmed chemistry lessons in the computer or software packages the students will have access to the lessons even after they have been taught in the class by the teacher. With these programmed chemistry topics stored in the computer slow learners ca go through the topics over and over again. With repealed attempts, the learner will understand the topics no matter how difficult the topics may be. Writing and balancing of chemical equations will be well understood and mastered by repeatedly using the tutorials or programmed learning in the computer software. According to Ezeliora (1997), computer, programmed chemistry software package are written by subject specialist who are chemists. The subject specialists not only have good mastering of chemistry topics but also have knowledge of teaching strategies and understanding of the level of development 22 of the learner. Radios, Videos and television set, can also be used to teach and learn writing and balancing of chemical equations. Gender as a Factor in Students' Chemistry Achievement Studies carried out to Nworgu (1985) Aigomian (1985) when they worked in physics and Ochuba (1985) in biology, showed that boys achieved better than girls in the affected science subjects. Girls do not go into science, mathematics and technology because these are not many female teachers there in to serve as role models to the yonger ones. Nwande, (1991) confirmed this. Also even where and when you have female teachers in science, mathematic and technology, such female teachers unconsciously discourage girls who are in, or planning to go into such disciplines. Also in the studies carried out by Nworgi (2004) in the difficulties encountered by senior secondary school chemistry students in the understanding of the mole concept showed that the extent of difficulties encountered by the students in understanding of the mole concept is dependent on gender. The mole concept is fundamentally mathematical in background and most females shy away from mathematics related areas and sciences. This observation is in agreement with Baja (1979). Eze (1995), worked on students’ difficulties in IUPAC nomenclature and showed that the extent of difficulties encountered by students in IUPAC nomenclature is independent of sex this result is in agreement with the result, of 23 earlier studies carried out by Okeke (1979), Offiong (1983) and Onyishi (1991) in Biology H.P.E, and chemistry respectively. These researches found out that sex had no significant effect on students’ performance in their respective subject areas. From the foregoing, one can conclude that results of previous studies on gender – related differences in students’ achievement in science have been generally inconsistent. Students’ Difficulties in the Learning of Chemistry at SSCE level The areas of difficulty for the students at SSCE will be discussed under the following sub-headings. Curriculum content The advent of revised school syllabuses in many countries saw a move towards the presentation of school chemistry in a logical order, the logic usually being that of the experienced academic chemist. Similarly, early chapters in many textbooks for senior secondary school chemistry start with topics like atomic theory, bonding, formulae and equations etc. this is the grammar and syntax (Jankins, 1992) of chemistry but is daunting for the student. Johnstone (2000) has made arguments against this ‘logical’ presentation logically. The logical order may not be psychologically accessible to the learner. Much school chemistry taught before 1980, laid great emphasis on descriptive chemistry, memorization being an important skill to achieve interpretation and symbolic representation were left until later 24 (See Figure 1) Descriptive (macro) Sub-microscopic (micro) Symbolism (Representation) Figure 1: The Chemistry triangle Today, the descriptive is taught along side both the ‘micro’ and ‘representational’. In the case of writing and balancing of chemical equations, atoms of the elements are represented by chemical symbols. The concept of atom is an abstract concept, and the representation of atoms by symbols is also abstract. The atoms have oxidation numbers or valencies which they use in combining, and balancing of equations, a skill that must be mastered well. Gatel (1999) argued that the learner cannot cope with all three levels of abstract concepts being taught at once. Indeed, today, there is danger that chemistry depends so much on the representational, with inadequate emphasis on the descriptive. Chemical knowledge is learned at three level: “sub-microscopic, “Macroscopic”, and “symbolic”, and the link between these levels should be explicitly taught (Ebenezer 2000, Reavielo 2001, Treagust Etall 2003). Also, the interaction and distractions between them are important characteristics of chemistry learning and they help in comprehending chemical concepts. Eg. In writing and 25 balancing chemical equations, the students should be taught the guidelines for representing atoms by symbols and the proper way of doing that: the atomic structure, atomic number, valences of atoms and radicals, writing chemical formulae; writing of chemical equation and balancing of chemical equation. Overload of students’ working memory space. The working memory space is of limited capacity (Baddeley, 1999). This limited shared space is a link between, what has to be held in conscious memory, and the processing activities required to handle it, transform it, manipulate it, and get it ready for storage in long-term memory. When students are faced with learning situation where there is too much to handle in the limited working space, they have difficulty selecting the important information from the other less important information. For example, in writing and balancing of chemical equations, the topic should be broken down into units that can be easily understood within a limited space of time. The topic should be treated in piece meal with copies exercises and practice until they are able to write and balance. Faced with new and often conceptually complex material, the chemistry student needs to develop skills to organize the ideals so that the working space is not overloaded. Without the organizing student frequently has to resort to rote learning; which does not guarantee understanding. In line with the above observation NTI (2003) identified that teachers do rush the pupils so as to finish the scheme of work for what they call “lack of time”, consequently this leads to failure. 26 Concept formation. Chemistry learning requires much intellectual thought and discernment because the content is replete with many abstract concepts. Concept such as dissolution, particulate nature of matter, chemical bonding, writing and balancing of chemical equations are fundamental to learning chemistry (Nakhleh, 1992). Unless these fundamentals are understood, topics including reaction rate, acids and bases, electrochemistry, chemical equilibrium, chemical stoichiometry and solution chemistry become arduous. Therefore, inquiring into students conception of the fundamental concepts in chemistry has been a research focus of several researchers in many countries for the past two decades. (Ayas and Demirbas 1997, Ayas and Costus, 2001; Calik, 2005). Real understanding requires not only the grasp of key concepts but also the establishment of meaningful links to bring the concepts into a coherent whole. Ausubel’s important work (1968) has laid the basis for understanding how meaningful learning can occur in terms of the importance of being able to link new knowledge on the network of concepts, which already exist in the learner’s mind. Concepts develop no new ideas are linked together and the learner does not always correctly make such links. This may well lead to misconceptions. Conception or pieces of intellectual thought either reinforce each other or act as barrier for further learning. 27 Review of empirical studies. Many studies (Eze 1995, Nworji 2004) had been done on various aspects of student’s difficulties in the learning of chemistry at SSCE level. Nworji (2004) studied difficulties encountered by senior secondary school chemistry students in the understanding of the mole concept. A sample of four hundred and twenty (420) students drawn randomly from fifteen secondary schools constituted the sample. The instrument used was the mole concept diagnostic Test (MCDT). The data generated from student’s responses to the various test items in the MCDT were analyzed quantitatively using frequency tables, mean and percentages. Two hypotheses were tested using chi-square (x2 test at 5% level of significance and the following results were found: • Students have poor knowledge of rules guiding the writing of chemical formulae. • Students lack knowledge of the rules guiding the balancing of chemical equation. • Gender has an influence on the extent of difficulties encountered by students in mole concept. Similarly, Eze (1995) studied the secondary school students’ difficulties in the application of the current IUPAC system of nomenclature in inorganic chemistry. The study was carried out in Nsukka Education Zone. A sample of five hundred and eighty four (584) SS 3 students randomly selected from fifteen (15) school, constituted the sample. The instrument used was IUPAC 28 nomenclature diagnostic test (INDT). Five research question were answered using frequency tables while two hypotheses were tested using the chi-square test. The result of the study showed that • Students had poor knowledge of the rules guiding the determination of oxidation numbers of element. • Students use wrong oxidation numbers of central elements in naming compounds containing such elements. • Sex had no influence on the extent of difficulties encountered by students in IUPAC nomenclature. Akpan (1988) carried out a study to identify the major areas of students’ difficulties in the content of school certificate chemistry. It was found that some students perceive some chemistry topic as being totally difficult, while others, perceived the following topics as being difficult relative to others: electrolysis, atomic structure, writing and balancing of chemical equation, chemical equilibrium and oxidation and reduction among others. Summary of literature review. (i) Chemical symbols, formulae and equations are used to write, describe substances and the changes which they undergo. In doing this, certain principles are observed in the exercise. (ii) Gagne’s theories of learning hierarchy and learning prerequisite and David Ausubel’s theory of reception learning/Expository teaching gave strong Support to this study in that they were talking of students having 29 prerequisite knowledge deal with certain levels of learning tasks and learning occurring through reception rather than through discovery. They constitute the frame-work on which this study is built. These theories contain that if the writing and balancing of chemical equation are not well taught there will be difficulties in students understanding the concepts. If the students are not well grounded in the language of chemistry it will be difficult for them to understand chemistry generally. (iii) There are strategies in teaching and learning of writing and balancing of chemical equation which are very effective. They include:- a use of metacongnitive instructional strategies b. use of information and communications technology, (ICT) (iv) The result of previous studies on gender-related differences in students’ achievement in chemistry have been generally inconsistent. (v) The areas of difficulty for the student at SSCE level like curriculum content; over-load of students working memory space and concept formation should be properly addressed to enhance real understanding of the writing and balancing of chemical equations. (vi) Previous empirical studies on students’ difficulties in chemistry at SSCE level show that writing and balancing of equations constitute a difficulty in the learning of chemistry. There is, therefore, the need to actually find out the specific problems which students encounter in the course of writing and balancing of chemical equation. 30 CHAPTER THREE Research Method This section presents the general method and procedure for the study. It comprises the following sub-headings: design of the study, area of the study, population of the study, sample and sampling procedure/technique, instrument for data collection, validation of the instruments, reliability of the instruments, method of data collection and method of data analysis. Design of the Study The study is a survey design. Survey research is generally conceived as a type of research in which a group of people or items is studied by collecting and analyzing data from only a few people or items considered to be representative of the entire group” (Nworgu, 2006). The type of survey technique that was used in this study was the developmental survey. A developmental survey according to Nworgu (2006) is one which seeks to ascertain how some dimensions, variables or characteristics of a given population change with time. A developmental survey could either be longitudinal or cross-sectional in approach. This study was a cross-sectional one in which, instead of following a group of subjects over a period of time, a cross-section of the subjects of varying ages is sampled and studied at the same time. The characteristics of the subjects at different age levels were examined and analyzed to reveal possible trend in the development of such characteristics. 30 31 This study was aimed at finding out the students’ difficulties in writing and balancing chemical equations and the classifications of the problems across class level, reflecting students of different levels of development. Area of Study This study was conducted within the Nsukka Education Zone of Enugu State. The zone is made up of three local government areas namely: Nsukka, Igbo-Etiti and Uzo-Uwani. The researcher will use only Nsukka zone for easy access and coverage Population of the study The population of the study comprised all the chemistry students from year one to year three in the fifty four (54) secondary schools offering chemistry in Nsukka Education Zone of Enugu State. The choice of all chemistry students in the senior secondary school was to find out whether the difficulties persisted or disappeared from SS 1 to SS 3 as they got more chemical knowledge. The fifty four schools were made up of thirteen (13) secondary schools of boys only, eleven (11) secondary schools of girls only, while thirty (30) were co-educational. Sample and sampling technique The sample of this comprised 1130 SSI, SSII and SS III Chemistry students from seventeen secondary schools (representing thirty one percent) out of the fifty-four (54) secondary schools in the Nsukka Education zone of Enugu State. The seventeen secondary schools that were used for the study were 32 drawn, by disproportionate stratified random sampling across gender. The strata included thirteen (13) boys’ schools, eleven (11) girls’ schools and thirty (30) co-educations. The sampling technique would ensure that the sample taken was representative of the population and took care of gender as a variable. The disproportionate stratified random sampling technique was used to sample five girls’ schools, schools to make sure that the number of males and female students was representative. However, in each of the seventeen schools that was sampled for the study one intact class each from SS I, SS II and SS III chemistry students was used since all the students studying chemistry were qualified to be sampled. Instrument for data collection The instrument for data collection in this study was the writing and balancing chemical equation diagnostic Test (WBCEDT) developed by the researcher. The WBCEDT was formulated to diagnose the various difficulties encountered by secondary school students in the writing and balancing of chemical equations. Three sets of questions were set differently for SS 1, SS 11 and SS 111 because all of them have not attained the same level of chemical knowledge. The instrument consisted of two parts. Part 1 was designed to gather background information about the respondents which included school name and gender. Part II sought information on the respondents difficulties encountered in writing and balancing chemical equations. 33 The WBCEDT was developed in line with the application of the writing and balancing of chemical equations as the main language of chemistry, linking many aspects of the subject throughout the syllabus. Also it was developed in accordance with the contemporary curriculum philosophy, to use the broadest generalizations and to reveal the inner logic of the subject matter. The current senior school certificate (SSCE) syllabus on chemistry examinations were the materials that guided the researcher in the construction of the test items upon which the students’ difficulties in the writing and balancing of chemical equations were to be tested. The instrument was partitioned into clusters and each cluster deals with one of the following: writing the chemical symbols, writing chemical formulae, writing chemical equations and balancing them, balancing ionic equations. Validation of the instrument The type of validation done was face validation. The validation was done by two specialists in the department Science Education UNN and an experienced chemistry teacher in the secondary school system. During validation the test items were scrutinized in terms of clarity, appropriateness of language, ambiguity, relatedness to research questions and hypothesis, proper technicality and relevance to difficulties encountered by SSCE chemistry students in writing and balancing chemical equation. After validation, the instrument was completely, rearranged and overhauled to reflect the specialist contributions in the validations. 34 Reliability of the instrument The sample size for this research was large that the researcher could not assess or score all the instruments that would be administered to the sample. The researcher employed four chemistry lecturers in the department of chemistry, Federal college of Education Eha-Amufu (FCEE). The researcher assessed the extent of agreement of the scores to ensure that the scoring pattern of all the scores were the same. The scorers reliability was determined through a technique developed by Kendall otherwise known as Kendall Coefficient of concordance or Kendalls’ estimate of inter-rater reliability. W = 125 N2 (K3 – K) Using the above technique, W was found to be 0.082 Method of data collection The instrument WBCEDT was administered on subjects by the researcher with the assistance of the chemistry teachers in the schools sampled. The students responded to the instrument under close supervision by the researcher and their chemistry teachers. This was done to guard against cheating on the part of the students. Students were made to write their responses in the spaces provided in the instrument. The instruments were collected back by the researcher/teachers after the students must have responded to it. 35 Method of data analysis Students’ responses to the various test items in the WBCEDT were analysed to find out why or causes of the difficulties, especially the students reasoning processes that led to the difficulties/misconceptions in various aspects of writing and balancing of chemical equation. The research questions were answered using frequency and percentage. The hypotheses were tested using the SPSS version 16.0 for the test of significance. The chi-square was used to test the dependence of students’ difficulties in writing and balancing chemical equation on sex and across various class levels. 36 CHAPTER FOUR The research questions and hypothesis have been addressed using data obtained from the respondents. This involved the analysis of students’ responses to the various test items in the writing and balancing of chemical equation diagnostic test (WBCEDT). In the tables below, results of data analysis relating to each research question as well as hypothesis are presented. Research question one Research question one sought to determine the difficulties encountered by students of various class levels, in writing of chemical equations. Table 1 presents the percentages or proportions of the respondents who indicated different levels of difficulties in writing of chemical equations? 36 37 Table 1: Proportions of students with difficulties in writing chemical equations by sex and class level. S/ N 1 2 3 4 5 6 Classification of Student’s difficulties in writing chemical equation Use of wrong and small letter in writing the symbols of the atoms involved Poor knowledge of rules guiding the writing of chemical formulae of compounds Misplacement of numbers attached to the formulae of chemical compounds Lack of knowledge of valency of atoms and radicals Lack of knowledge of correct chemical formulae of atoms and compounds Lack of accuracy in writing chemical formulae of compound SS I SS II SS III Tota l resp ond ents No with diffic ulties (%) No with Tot difficulty by al sex resp ond M F ents No with diffic ulties (%) No with Tot difficulty by al sex resp ond M F ents No with diffic ulties (%) No with difficulty by sex M F 409 340 168 172 254 130 124 200 109 91 (83.13) (49.41) (50.59) (67.20) (51.18) (48.82) (58.31) (54.50) (45.5) 346 170 176 245 120 125 190 86 104 (84.60) (49.13) (50.87) (64.81) (48.98) (50.02) (55.39) (45.26) (54.74) 300 158 142 246 121 125 160 75 85 (73.35) (52.72) (47.33) (65.08) (49.19) (50.81) (46.65) (46.88) (53.12) 350 188 162 265 130 135 210 100 110 (85.57) (53.67) (46.29) (70.11) (49.06) (50.94) (61.22) (47.62) (52.38) 340 165 175 264 130 134 220 105 115 (83.13) (48.13) (51.47) (69.84) (49.24) (50.76) (64.14) (47.73) (52.27) 360 175 185 270 135 135 215 100 115 (88.02) (48.61) (51.39) (71.43) (50.00) (50.00) (62.68) (46.51) (53.49) 409 409 409 409 409 378 378 378 378 378 378 343 343 343 343 343 343 38 Table 1 shows that the students difficulties in writing chemical equations are within the classes identified in table 1. These difficulties include – use of wrong and small letters in writing the symbols of atoms involved; poor knowledge of rules guiding the writing of chemical formulae of compounds; misplacement of numbers attached to the formula of chemical compounds; poor knowledge of valency of atoms and radicals; poor of knowledge of correct chemical formulae of atoms and compounds and poor knowledge chemical formulae of compounds. In SS I, 83.13% of the students sampled had difficulties in the use of wrong and small letter is writing the symbols of atoms, while the percentage of those with difficulties in the same area in SS II and SS III were 67.20% and 58.31% respectively. The proportion of students that indicated difficulty in this concept decreased as the class level advanced. In SS 1 – SS 3 high a proportion of female students indicated more difficulties than male students. In the area of poor knowledge of the rules guiding the writing of chemical formulae of compounds the percentage difficulties in SS I, SS II and SS III were 84.60%, 64.81% and 55.39 respectively. Again as expected the proportion of students experiencing difficulty decreased as class level advanced. Generally high proportion of female students than male students experienced this difficulty at all class levels. 73.35% of SS I, 65.08% of SS II and 46.65% in SS III students had difficulties in the misplacement of numbers attached to the formula of chemical 39 compounds, respectively. The difficulty area of lack of knowledge of valency of atoms and radicals had the percentage difficulty of the students as 85.57 in SSI, 70.11 in SS II and 61.22 in SS III. Another difficulty area where students had difficulty was in the area of lack of knowledge of correct chemical formulae of atoms and compounds, where the percentage difficulty was 83.13 in SS I, 69.84 in SS II and 64.14 in SS III. Lastly in the area of lack of accuracy in writing chemical formulae of compound, the percentage difficulties in SS I, SS II and SS III students stood at 88.02, 71.43 and 62.68 respectively. It can be seen from table 1, that all the difficulty areas persisted from SS I to SS III, even though the percentage degree of the difficulties reduced as the students acquire more chemical knowledge from SS I to SS III. Research Questions Two Research question 2 sought information on the difficulties encountered by students of various class levels in the balancing of chemical equations. The 2 shows the proportions or percentages of the respondents who indicated different levels of difficulties in the balancing of chemical equations. 40 Table 2: Proportion of students experiencing different difficulties with balancing of chemical equations by sex and class level. S/ N Nature of difficulties 1 2. 3 4 5 6 SS I No with N difficulty by sex M F N No with diffic ulties (%) Lack of knowledge correct formulae of compounds Lack of knowledge of valency of atoms in the formulae of compounds reacting Poor knowledge of rules guiding the balancing of equation Interfering/cha nging the formulae of compounds during balancing Ability to check each atom on both sides of the equation to make sure that the equation is balanced 409 328 (80.20) 158 (98.17) 170 345 (84.35) 168 (48.70) 177 345 (84.35) 170 (49.28) 175 320 (78.24) 150 (46.88) 175 348 (85.09) 169 (48.56) 170 Ability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. 409 345 (84.35) 175 (50.72) 170 409 409 409 409 378 (51.83) 378 (51.30) 378 (50.72) 378 (54.69) 378 (48.85) (49.28) 378 SS II No No with N with difficulty by diffic sex ulties M F (%) 225 (59.52) 98 127 (43.56) (56.44) 270 (71.43) 130 140 (48.15) (51.85) 302 (79.89) 150 152 (49.67) (50.33) 225 (59.52) 102 123 (45.33) (54.67) 270 (71.43) 140 130 (51.85) (48.15) 302 (79.89) 145 157 (48.01) (51.99) 343 343 343 343 343 343 SS III No No with with difficulty by diffic sex ulties M F (%) 172 80 92 (50.15) (46.57) (53.49) 240 118 122 (69.97) (49.17) (50.83) 240 120 120 (69.97) (50.00) (50.00) 155 70 85 (45.19) (45.16) (54.84) 240 116 124 (69.97) (48.33) (51.67) 240 (69.97) 115 125 (47.92) (52.08) 41 In table 2, shows that the students difficulties in balancing chemical equations are within the classes identified in table 2. These difficulties include – poor knowledge of correct formulae of compounds, poor knowledge of valency of atoms in the formulae of compounds reacting, poor knowledge of rules guiding the balancing of equation, changing the formulae of compounds during balancing, inability to check each atom on both sides of the equation to make sure that the equation is balanced, inability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. In the area of poor knowledge of correct formulae of compounds, the percentage difficulties stood as 80.20 in SS I, 59.52 in SS II and 50.15 in SS 3. The proportion of students that indicated difficulty in this area decreased as the class level advanced. Generally higher proportion of female students than male students experienced this difficulty at all class levels. Lack of/poor knowledge of the valency of atoms in the formulae of compounds reacting had percentage difficulty of 84.35 in SS 1, 71.43 in SS 2 and 69.97 in SS 3. The proportion of students that indicated difficulty in this concept decreased as the class level advanced. Again, higher proportion of female students than male students experienced this difficulty at all class levels. In the poor knowledge of the rules guiding the balancing of chemical questions, 84.35% had difficulty in SS 1, 79.89% in SS 2 and 69.97% in SS 3. 42 Research Question Three Research question 3 sought information on the extent which the type of difficulty encountered by students in the writing of chemical equation depend on gender. Table 3 presents the total number of students sampled by gender and the percentage of the respondents with difficulty in each area of difficulty by gender. Table 3 – Proportion of students with difficulties in the writing of chemical equation by gender (at all the class levels). S/N Student difficulty in writing chemical Total no. of equation Students Sampled Male Female No. of students with difficulty and % Male Female 1 Use of wrong and small letter in writing 550 580 407 (74.00) 387 (66.72) 550 580 376 (68.36) 405 (69.83) 368 (66.91) 354 (64.36) 370 (63.79) 352 (60.69) the symbols of the atoms involved 2 Poor knowledge of rules guiding the writing of chemical formulae of compounds 3 Poor knowledge of names of compounds 550 580 4 Misplacement of numbers attached to the 550 580 formulae of chemical compounds 5 Lack of knowledge of valency of atoms 550 580 418 (76.00) 407 (70.17) 550 580 550 580 400 (72.73) 410 (74.55) 424 (73.10) 435 (75.00) and radicals 6 7 Lack of knowledge of correct chemical formulae of atoms and compounds Lack of accuracy in writing chemical formulae of compound 43 Out of five hundred and fifty (550) males and five hundred and eighty (580) females sampled, 74% of the males and 66.72% of the females had difficulty in the use of wrong and small letter in writing the symbols of the atoms involved. In the area of poor knowledge of rules guiding the writing of chemical formulae of compounds, 68.36% of the males had difficulty while 69.83 of females were affected by the difficulty. 64.36% of males and 60.69% of females had difficulty of misplacement of numbers attached to the formulae of chemical compounds. The difficulty of lack of knowledge of valency of atoms and radicals affected 76% of the males and 70.17% of females. In lack of knowledge of correct chemical formulae of atoms and compounds, 72.73% of males and 73.10% of females were affected by the difficulty while 74.55% of males and 75% of females had difficulty in writing chemical formulae of compounds accurately from the percentages of the males and females affected the difficulties, it does not seem that the type of difficulty encountered by the students in the writing of chemical equation depend on gender. Hypothesis One (HO1) Hypothesis one (HO1) compared the proportion of male and female students that experience difficulties in the writing of chemical equations. 44 Table 4: is a summary of x2 test comparing the proportions male and female students who experience difficulties in writing of chemical equation. (See appendix III for details) X2 S/N Student difficulty in Percentage of df (6- X2 writing chemical Students with 1) (2- calculated (table equation difficulty 1) at value) 0.05 Male Female 1 2 3 4 5 6 7 Use of wrong and small letter in writing the symbols of the atoms involved Poor knowledge of rules guiding the writing of chemical formulae of compounds Poor knowledge of names of compounds Misplacement of numbers attached to the formulae of chemical compounds Lack of knowledge of valency of atoms and radicals Lack of knowledge of correct chemical formulae of atoms and compounds Lack of accuracy in writing chemical formulae of compound 74 68 68 70 67 64 64 61 76 70 73 73 75 75 5 0.524 4.35 Table 4 above indicates that the calculated value of chi-square (x2) is 0.524, while the table value at 0.05 level of significance at 5 degree of freedom (df) is 4.35. Since the calculated value is less than the table value, the null hypothesis (HO1) is accepted. The meaning of this is that students’ difficulties 45 in the writing of chemical equation do not depend on gender. Both males and females experience difficulties in the writing of chemical equations. Research Question Four Research question 4 sought information on the extent which the type of difficulty encountered by students in balancing chemical equation depend on gender. Table five presents the total number of students sampled by gender and the percentage of the respondents with difficulty in each area of difficulty by gender. 46 Table 5: Proportions of students with difficulties in the balancing of chemical equations by gender S/N Students difficulty in balancing Total no. chemical equation Students Sampled 1 2 3 4 5 6 Male of No. & percentage of students with difficulty by gender Female Male Female Lack of knowledge correct formulae of compounds 550 580 Lack of knowledge of valency of atoms in the formulae of compounds reacting Poor knowledge of rules guiding the balancing of equation 550 Interfering/changing the formulae of compounds during balancing 550 336 389 (61.09) (67.07) 580 416 439 (75.64) (75.69) 550 Ability to check each atom on both 550 sides of the equation to make sure that the equation is balanced Ability to make sure that the 550 coefficients used are all whole numbers and are reduced to their lowest terms. 580 580 440 447 (80) (77.07) 322 378 (58.55) (65.17) 580 425 433 (77.27) (74.66) 580 435 452 (79.09) (79.95) Number and percentage of students affected by the difficulty by gender There are five hundred and fifty (550) males and five hundred and eighty (580) females sampled. In the difficulty areas of lack of knowledge of correct formulae of compounds 61.09% of males and 67.07% of females were affected. 75.64% of males and 75.69% of females were affected by the problem of lack of knowledge of valency of atoms in formulae of compounds reacting. Poor knowledge of the rules guiding the balancing of equation affected 80% of males 47 and 77.07% females while interfering with or changing the formulae of compounds during balancing affected 58.55% of males and 65.17% of females. In the students ability to check each atom on both sides of the equation to make sure that the equation is balanced, 77.27% of males and 74.66% of females were affected while 79.09% of males and 77.95% of females were affected by the difficulty of inability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. Generally, both males and females experienced difficulties in the various problem areas. While higher proportion of females than males had difficulties in three difficulty areas, the reverse was also the case in the other three difficulty areas. Hypothesis two (HO2) Hypothesis two (HO2) compared the proportion of male and female students that experience difficulties in the balancing of chemical equations. 48 Table 6 is a summary of chi-square test (x2) comparing the proportions of male and female students who experience difficulties in the balancing of chemical equations. (See appendix iv for details) X2 S/N Student difficulty in writing Percentage of Df (6-1) X2 chemical equation Students with (2-1) at calculated (table difficulty 0.05 value) Male Female 1 2 3 4 5 6 7 Lack of knowledge correct formulae of compounds Lack of knowledge of valency of atoms in the formulae of compounds reacting Poor knowledge of rules guiding the balancing of equation Interfering/changing the formulae of compounds during balancing Ability to check each atom on both sides of the equation to make sure that the equation is balanced Ability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. Lack of accuracy in writing chemical formulae of compound 61 67 76 76 80 77 59 65 77 75 79 78 75 75 5 0.658 4.35 Table 6 above indicates that the calculated value of chi-square (x2) is 0.658, while the table value at 0.05 level of significance at 5 degree of freedom (df) is 4.35. Since the calculated value is less than the table value, the null 49 hypothesis (HO2) is accepted. The implication of this is that students’ difficulties in balancing chemical equation do not depend on gender. Research question five Research question five sought which of the difficulties in writing of chemical equation persist across class level. Table seven shows the proportions of the respondents who indicated different levels of difficulties in writing of chemical equations across class levels. Table 7: Proportions of students experiencing different difficulties in writing chemical equations across class levels. S/N 1 2 3 4 5 6 Student difficulty in writing Percentage of difficulties class by class chemical equation in writing chemical equation SS1 SS2 SS3 Use of wrong and small letter in 83 67 58 writing the symbols of the atoms involved Poor knowledge of rules guiding 85 65 55 the writing of chemical formulae of compounds Misplacement of numbers 73 65 47 attached to the formulae of chemical compounds Lack of knowledge of valency of 86 70 61 atoms and radicals Lack of knowledge of correct 83 70 64 chemical formulae of atoms and compounds Lack of accuracy in writing 88 71 63 chemical formulae of compound A close look at table 5 reveals that the percentage level of students affected by the classes of difficulties in SS I, SS II and SS III is high. However there is a reduction in the percentage level from SS I to SS III. For example in 50 the area of use of wrong and small letter in writing the symbols of the atoms involved, 83% of SS I students were affected by the difficulty while the percentage level reduced to 67% in SS II and 58% in SS III. The same observation was made in the other difficulty areas. The difficulties therefore persisted in all the difficulty areas with a reduction as the students get more chemical knowledge from SS I to SS III. Hypothesis Three (HO3) Hypothesis three (HO3) compared the proportions of students that experience difficulties in writing of chemical equations according to class levels. 51 Table 8 is a summary of chi-square test (x2) comparing the proportion of students that experience difficulties in the writing of chemical equations according to class levels. (See Appendix V for details) of difficulties S/N Student difficulty Percentage in writing (observed frequency) & chemical equation expected frequency class by class in writing chemical equation (see appendix – for details) SS I SS II SS III Total df X2 X2 (6-1) calculated (table (2-1) value) at 0.05 1 10 2 3 4 5 6 Use of wrong and small letter in writing the symbols of the atoms involved Poor knowledge of rules guiding the writing of chemical formulae of compounds Misplacement of numbers attached to the formulae of chemical compounds Lack of knowledge of valency of atoms and radicals Lack of knowledge of correct chemical formulae of atoms and compounds Lack of accuracy in writing chemical formulae of compound 83 67 58 208 (84.12) (67.61) (56.27) 85 65 55 205 (82.91) (66.64) (55.46) 73 65 47 185 (74.82) (60.13) (50.05) 86 70 61 217 (87.76) (70.54) (58.71) 83 70 64 217 (87.76) (70.54) (58.71) 71 63 222 88 (89.78) (72.16) (60.06) 4.73 10.34 52 Table 8 above indicates that the calculated value of chi-square (x2cal) is 4.73, while the table value at 0.05 level of significance at 10 degree of freedom (df) is 10.34. Since the calculated value is less than the table value, the null hypothesis (HO3) is accepted. The implication of this is that students’ difficulties in writing chemical equation do not depend on class level. Research question Six Research question six sought to find out which of the difficulties in balancing of chemical equations persist across various class levels. Table nine shows the proportion of the respondents who indicated different levels of difficulties in balancing of chemical equations across class levels. 53 Table 9: Proportion of students experiencing different difficulties in balancing chemical equations across class levels S/N Student Difficulty in Balancing Percentage of difficulties class by class Chemical Equation in writing chemical equation SS1 SS2 SS3 1 Lack of knowledge correct formulae of compounds Lack of knowledge of valency of atoms in the formulae of compounds reacting Poor knowledge of rules guiding the balancing of equation Interfering/changing the formulae of compounds during balancing Ability to check each atom on both sides of the equation to make sure that the equation is balanced Ability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. 2 3 4 5 6 80 60 50 84 75 69 84 80 70 78 60 45 85 75 70 84 80 70 Table 9 indicates that the percentage difficulties across various class levels, is high even though there is generally a reduction in percentage level from SS I to SS 3. For example, in the area of difficulty due to lack of knowledge of correct formulae of compounds, the percentage experiencing difficulty in SS I is 80, SS II 60 and SS III, 50. This trend is true for all the other classes of difficulty across class levels. 54 Hypothesis four (HO4) Hypothesis four (HO4) compared the proportions of students that experience difficulties in balancing of chemical equations across class levels. Table 10 is a summary of chi-square test (x2) comparing the proportions of students that experience difficulties in balancing chemical equations across class levels. (See Appendix VI for details). S/N Student difficulty in Percentage of difficulties (observed writing chemical frequency) & expected frequency equation class by class in writing chemical equation (see appendix – for details) SS I SS II SS III Total df (6- X2 1) (2- calculated 1) at 0.05 X2 (table value) 1 10 9.342 2 3 4 5 6 Lack of knowledge correct formulae of compounds Lack of knowledge of valency of atoms in the formulae of compounds reacting Poor knowledge of rules guiding the balancing of equation Interfering/changing the formulae of compounds during balancing Ability to check each atom on both sides of the equation to make sure that the equation is balanced Ability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. 80 (72.40) 60 (62.89) 50 (54.70) 190 84 (86.88) 75 (75.47) 69 (65.64) 288 84 (89.16) 80 (77.45) 70 (67.37) 234 78 (69.73) 60 (60.57) 45 (52.68) 183 85 (87.64) 75 (76.13) 70 (66.22) 230 84 (89.16) 80 (77.45) 70 (67.37) 234 4.86 55 Table 10 shows that the calculated value of chi-square (x2cal) is 4.86, while the table value at 0.05 level of significance at 10 degrees of freedom (df) is 9.342. Since the calculated value is less than the table value, the null hypothesis (HO4) is accepted. The implication of this is that students’ difficulties in balancing chemical equations do not depend on class level. Summary of Findings: The summary of findings includes the major findings of each research question and hypothesis. - Chemistry students have difficulties in writing of chemical equations across class levels in all difficulties areas considered even though the difficulties tend to reduce as the students advance in chemical knowledge - Students also generally experience difficulties in balancing of chemical equation across class levels but the difficulties tend to reduce from SS I to SS III. - Both males and females experience difficulties in the writing of chemical equations but higher proportion of females indicated more difficulties than the males in SS I to SS 3. - In the balancing of chemical equations, both males and females experienced difficulties in the various problem areas, while higher proportion of females than males had difficulties in three areas, the reverse was the case in the other three areas. 56 - The students’ difficulties in writing and balancing of chemical equations do not depend on class level. Generally there is a reduction in the proportion of the students experiencing the difficulties as the students advanced in class. 57 CHAPTER FIVE DISCUSSION, CONCLUSION AND SUMMARY In this chapter, the discussion of the results presented in the previous chapter, the conclusion, the recommendations for improvement and the summary of the entire work is carried out. Also a discussion of the educational implications of the findings of the study is also included. Discussion of Results Students’ Difficulties in Writing Chemical Equations Analysis of students’ responses to the test items in the WBCEDT in respect of research question one show that the students difficulties in writing chemical formulae can be as a result of their use of wrong and small letters in writing the symbols of the atom involved, poor knowledge of rules guiding the writing of chemical formulae of compounds, poor knowledge of names of compounds, misplacement of numbers attached to the formulae of chemical compounds, lack of knowledge of valency of atom and radicals, lack of knowledge of correct chemical formulae of atom and compounds and lack of accuracy in writing chemical formulae of compounds. However, the percentage of the students affected by each difficulty was highest in SSI and decreases as the students move to SS III. 57 58 Students’ difficulties in balancing chemical equation at various class levels of the senior secondary school The analysis of data obtained from the respondents to the test items in the WBCEDT in respect of research question two indicates that the students’ difficulties in balancing chemical equations can be as a result of the students lack of knowledge of correct formulae of compounds, lack of knowledge of valency of atoms in the formulae of compounds reacting, poor knowledge of rules guiding the balancing of equation, interfering or changing the formulae of compounds during balancing the formulae of compounds during balancing, ability to check each atom on both sides of the equation to make sure that the equation is balanced, ability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. It is disheatening to find out that chemistry students in SSIII who have studied chemistry from their SSI to SS III, could not write and balance simple chemical equations. Even though the percentage level of the difficulty areas decrease as the students get more chemical knowledge, it was only in the area of lack of knowledge of correct formulae of compounds and interfering/changing of the formulae of compounds during balancing that the problems tend to minimize. From the researcher’s classroom experience, it was always observed that students do not write correct chemical formulae and balancing the chemical equation was also difficult. In balancing of equation, the reactants and the products are always written for students either in text-books or in the classroom 59 and the teacher will try to balance it to the understanding of the students. Even when assignments and class work are given thereafter, students still find it difficult to balance equations. This is in accordance with Okoko (2008) observation that a particular problem which seems to be persistent with each passing class (from SSI to SS III) was giving the reactants alone, students were not able to write the products and balance the equation correctly. To what extent does the type of difficulty encountered by students in the writing of chemical equation depend on gender? The result of the analysis the students’ responses shows that the type of difficulty encountered by students in the writing of chemical equation do not depend on gender. This is because the mean percentage of the boys and the girls, all are above the percentage indicating difficulty area. The null hypothesis (HO1) was tested in order to verify whether or not gender on the part of students had any significant effect on the extent of difficulties encountered by chemistry students in writing chemical equations. The null hypothesis was accepted on the result of chi-square test. This, however, invariably means that the extent of difficulties encountered by the students in writing chemical equation is not dependent on gender. 60 To what extent does the type of difficulty encountered by students in balancing chemical equation depend on gender? The result of the analysis indicates that both the male and the female encountered difficulty in the six areas. So the type of difficulty encountered by students in balancing chemical equation do not depend on gender. The null hypothesis (HO2), was tested on order to verify whether or not gender on the part of the students had any significant effect on the extent of difficulties encountered by chemistry students in balancing chemical equation. The null hypothesis was accepted on the result of chi-square test. This, however, invariably means that the extent of the difficulties encountered by the students in balancing chemical equations is not dependent on gender. Which of the difficulties in writing of chemical equation persist across class levels? The table on research question five showed that the difficulties persist in all the difficulty areas. However, the percentage the percentage level of the difficulties continued to reduce as the students get more chemical knowledge from SSI to SSIII but not to the level of not being a difficulty. This result is in accordance with Okoko (2008) observation that a particular problem which seems to be persistent with each passing class (SS I to SS III) was giving the reactants alone, the students were not able to write the products and balance the equations correctly. 61 The null hypothesis (HO3) was tested to verify whether the students’ difficulties in writing chemical equations do not depend on class level. The null hypothesis was accepted on the result of the chi-square test. This means that the students’ difficulties in writing chemical equations do not depend on class level. This invariably, means that the extent of the students’ difficulties in writing chemical equations do not depend on class level, even though the percentage of the students’ difficulties reduced as the students move from SS I to SS III. Which of the difficulties in balancing of chemical equations persist across various class levels? The table on research question six, showed that the difficulties persisted in all the difficulty areas. There is reduction in the percentage of difficulties encountered by the students as the students get more knowledge of chemistry. The reduction in the percentage of difficulties in SS II from SS I and the reduction in SS III from SS I shows that the students improve on the skills of balancing chemical equation as they spend more years in school. The null hypothesis (HO4) was tested to verify that the students’ difficulties in balancing chemical equation do not depend on class level. The null hypothesis was accepted on the result of the chi-square test. This means that the students’ difficulties in balancing chemical equation do not depend on class level. Therefore, the extent of the students’ difficulties in balancing chemical equations do not depend on class level, but the percentage level of the difficulties reduced from SS I to SS 3. This observation is in line with WAEC 62 Chief examiners report which consistently had been reporting that students had difficulties various aspects of writing and balancing chemical equations. (2003, 2005, 2007 and 2010). EDUCATIONAL IMPLICATIONS The findings of this study have obvious implications for education. The fact that the students generally had difficulty in writing and balancing chemical equations is indicative of their difficulty in understanding other topics in chemistry, especially the ones that involve the calculation of molar mass of each compound, the reacting masses of the substance, mass volume relationship, the stoichiometry of chemical equations, Faraday’s laws of electrolysis, volumetric analysis etc. Students’ difficulty is writing and balancing of chemical equations could be seen as a reflection of the quality of teaching being done in secondary schools of recent. It is worthy to note that when students are given the basics in chemistry and are groomed properly from SS I to SS III, they are not likely to encounter much difficulty in writing and balancing of chemical equations which are fundamental to the successful learning of chemistry. The concept of chemical equation is so fundamental that without mastery in it, students find every other aspect of chemistry difficult. Consequent to this there is then the need for regular supervision of instruction in schools by the relevant education authorities. 63 Also workshops and seminars should also be organized at regular intervals for chemistry teachers to enable them update their knowledge in the subject. Chemistry teachers could be educated on effective methods through such workshops and seminars. However, students’ understanding of chemistry t will be significantly enhanced when chemistry teachers utilize such opportunities which undoubtedly will better equip them to teach their students. RECOMMENDATIONS With regards to the findings of this study the following recommendations are made as means of improving students understanding of the writing and balancing of chemical equation. i. All pre-requisite concepts leading to the concept of writing and balancing of chemical equations should be properly taught before teaching the concepts of writing and balancing of chemical equations. Chemistry teachers should make frantic efforts to expose students to as many areas in Chemistry regarding the use of the writing and balancing of chemistry equation. Chemistry teachers need to repeat lessons several times on the writing and balancing of chemical equations. ii. The importance of the writing and balancing of chemical equation should be well emphasized by chemistry teachers when teaching the topic because it is the foundation of chemistry as a subject. It is also peculiar to chemistry. 64 iii. Students should be given plenty of practices in the writing and balancing of chemical equations. iv. Chemistry teachers should use effective strategies in teaching and learning of writing and balancing of chemical equations. v. Any chemical equation poorly written and balanced should not score any marks in classwork, tests, internal examination, external examinations e.g. in WAEC and NECO. This should be made clear in the marking scheme. When students are aware of this fact they will take the writing and balancing of chemical equations more seriously. SUMMARY OF STUDY This study was prompted by the consistent poor performance of secondary school students in school Certificate and National Examination Council. Examination in chemistry, The poor performance of the student in such examination appear to the indicative of the fact that they have difficulties in properly understanding certain concept or topics in chemistry, one of which is the writing and balancing of chemical equations. The main purpose of the study was therefore, to find out specially, student difficulties as writing and balancing of chemical equations. The following research question guided the study: what are the difficulties encountered by students in. 65 i. Writing chemical equation at the various class level of senior secondary school. ii. Balancing of chemical equation at the various class levels of senior secondary school. iii. To what extent does the type of difficulty encountered by students in writing chemical equation depending gender. iv. To what extent does the type of difficulty encountered by students in balancing chemical equation depend on gender? v. Which of the difficulties in writing of chemical equation persist across class levels. vi. Which of the difficulties in balancing of chemical equation persist across class levels. Research questions 3,4,5 and 6 were converted to the following mull hypothesis: H01 Student difficulties in writing chemical equation do not depend on gender. H02 Student difficulties in balancing chemical equations do not depend on gender. H03 Student difficulties in writing chemical equation do not depend on class level as measured……….. H04 Student difficulties in balancing chemical equations do not depend on class level. 66 The relevant theoretical and empirical literature were reviewed. A sample consisting of drawn from seventeen secondary schools in Nsukka Educational Zone was used for the study. The sample was obtained by disproportionate stratified random sampling across gender. Also an instrument was used for data collection during the study and the instrument was known as writing and balancing chemical equation diagnostic Test (WBCEDT) developed by the researcher. However, the research questions were answered using frequency tables and percentages which the four null hypothesis were tested at 0.05% level of significance using chi-square as the statistical tool. From the ongoing, the result indicated that: 1. Students have difficulty in writing chemical equation at the various class levels of senior secondary school because i) they use wrong and small letters is writing the symbols of the atoms involved. ii) they have poor knowledge of rules guiding the writing of chemical formulae of compounds. iii) they misplace the numbers attached to the formulae of chemical compounds iv) they lack knowledge of valency of atom and radicals. v) they lack knowledge of correct chemical formulae of atoms and compounds vi) they lack accuracy in writing chemical formulae of compounds 67 2. Students have difficulty in balancing chemical equations at the various class levels of senior secondary school because: i) they lack knowledge of correct formulae of compounds ii) they lack knowledge of valency of atoms in the formulae of compounds reacting iii) they have poor knowledge of rules guiding the balancing of equations iv) they interfere or change the formulae of compounds during balancing v) they are not able to check each atom on both sides of the equation to make sure that the equation is balanced. vi) they are not able to make sure that the coefficient used are all whole numbers and are reduced to their lowest terms. 3) The extent of the students’ difficulties in writing and balancing chemical equations does not depend on gender. 4) Students’ difficulties in writing and balancing chemical equations persist across class levels with a reduction in the percentage level of the difficulties. 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(2003) Chemistry (6TH Ed( New York: Houghnton Company. 75 APPENDIX 1 Writing and Balancing Chemical Equation Diagnostic Test (WBCEDT) Part I Name of School: ……………………………………………….. Sex: ……………………………………………………………… Class: SSI Part II Attempt all the questions. Answer each question in the space provided. Write the physical states of the reactants and products. 1. Write the balanced equation for the following reactions. a. Hydrogen gas reacts with oxygen gas ………………………………………………………………… b. Burning magnesium in oxygen ……………………………………………………………. c. Action of water on calcium oxide …………………………………………………………… d. Reaction of hydrochloric acid and sodium hydroxide …………………………………………………………… e. The combustion of sulphur to form sulphur (iv) oxide …………………………………………………………… f. The combination of sulphur (vi) oxide with water …………………………………………………………… g. Reaction of tetraoxosulphate (vi) acid and sodium hydroxide ………………………………………………... h. The combination of calcium trioxocarbonate (iv) and hydrochloric acid ………………………………………... i. Zinc dust dissolves in dilute hydrochloric acid …………………………………………………………… j. Reaction between copper (ii) oxide and hydrogen gas………………………………………………………... k. Heating Iron filings with powdered sulphur …………………………………………………………… l. Aluminum chloride reacts with sodium hydroxide …………………………………………………………… m. Roasting sulphur in air ………………………………….. n. Reaction of sodium metal and water …………………………………………………………… o. Chemical combination of hydrogen and nitrogen gas …………………………………………………………… p. Passing steam over red hot Iron fillings …………………………. 76 q. Combination of Ammonia gas and hydrogen chloride gas …………………………………………………………… r. Action of ethanoic acid on ethanol …………………………………………………………… s. Action of carbon (iv) oxide and carbon (coke) …………………………………………………………… Writing and Balancing Chemical Equation Diagnostic Test (WBCEDT) Part I Name of School: ……………………………………………….. Sex: ……………………………………………………………… Class: SSII Part II Attempt all the questions. Answer each question in the space provided. Write the physical states of the reactants and products. 1. Write the balanced equation for the following reactions. a. Hydrogen gas reacts with oxygen gas ………………………………………………………………… b. Burning magnesium in oxygen ……………………………………………………………. c. Action of water on calcium oxide …………………………………………………………… d. Reaction of hydrochloric acid and sodium hydroxide …………………………………………………………… e. The combustion of sulphur to form sulphur (iv) oxide …………………………………………………………… f. The combination of sulphur (vi) oxide with water …………………………………………………………… g. Reaction of tetraoxosulphate (vi) acid and sodium hydroxide ………………………………………………... h. The combination of calcium trioxocarbonate (iv) and hydrochloric acid ………………………………………... i. Zinc dust dissolves in dilute hydrochloric acid …………………………………………………………… j. Reaction between copper (ii) oxide and hydrogen gas………………………………………………………... k. Heating Iron filings with powdered sulphur …………………………………………………………… 77 l. Aluminum chloride reacts with sodium hydroxide …………………………………………………………… m. Roasting sulphur in air ………………………………….. n. Reaction of sodium metal and water …………………………………………………………… o. Chemical combination of hydrogen and nitrogen gas …………………………………………………………… p. Passing steam over Iron fillings …………………………. q. Combination of Ammonia gas and hydrogen chloride gas …………………………………………………………… r. Action of ethanoic acid on ethanol …………………………………………………………… s. Action of carbon (iv) oxide and carbon (coke) …………………………………………………………… 2. Write and balance the ionization or dissociation equation of the following compounds. (a) Sodium tetraoxo sulphate (vi) ………………………………. (b) Potassium tetraoxo manganate (vii) ………………………… (c) Silver trioxonitrate (v) ……………………………………….. (d) Trioxonitrate (v) acid ……………………………………… (e) Iron (II) Sulphide …………………………………………….. (f) Ammonium chloride …………………………………………. (g) Trioxosulphate (iv) acid …………………………………… (h) Trioxosulphate (iv) acid …………………………………… (i) Tetraoxophosphate (v) acid …………………………………... (j) Ethanoic acid …………………………………………………. 3. Write and balance the neutralization equation for. (a) Sodium hydroxide and hydrochloric acid ……………………………………………………………. (b) Copper (II) oxide and trioxosulphate (iv) acid …………………………………………………………….. (c) Calcium hydroxide and tetraoxosulphate (vi) acid …………………………………………………………….. 78 (d) Ammonium hydroxide and trioxonitrate (v) acid ……………………………………………………………. (e) Potassium hydroxide and tetraoxosulphate (vi) acid …………………………………………………………….. Writing and Balancing Chemical Equation Diagnostic Test (WBCEDT) Part I Name of School: ……………………………………………….. Sex: ……………………………………………………………… Class: SSIII Part II Attempt all the questions. Answer each question in the space provided. Write the physical states of the reactants and products. (1) Write the balanced equation for the following reactions. b. Hydrogen gas reacts with oxygen gas ………………………………………………………………… c. Burning magnesium in oxygen ……………………………………………………………. d. Action of water on calcium oxide …………………………………………………………… d. Reaction of hydrochloric acid and sodium hydroxide …………………………………………………………… e. The combustion of sulphur to form sulphur (iv) oxide …………………………………………………………… f. The combination of sulphur (vi) oxide with water …………………………………………………………… g. Reaction of tetraoxosulphate (vi) acid and sodium hydroxide ………………………………………………... 79 h. The combination of calcium trioxocarbonate (iv) and hydrochloric acid ………………………………………... i. Zinc dust dissolves in dilute hydrochloric acid …………………………………………………………… j. Reaction between copper (ii) oxide and hydrogen gas………………………………………………………... k. Heating Iron filings with powdered sulphur …………………………………………………………… l. Aluminum chloride reacts with sodium hydroxide …………………………………………………………… m. Roasting sulphur in air ………………………………….. n. Reaction of sodium metal and water …………………………………………………………… o. Chemical combination of hydrogen and nitrogen gas …………………………………………………………… p. Passing steam over Iron fillings …………………………. q. Combination of Ammonia gas and hydrogen chloride gas …………………………………………………………… r. Action of ethanoic acid on ethanol …………………………………………………………… s. Action of carbon (iv) oxide and carbon (coke) …………………………………………………………… (2) Write and balance the ionization or dissociation equation of the following compounds. (a) Sodium tetraoxo sulphate (vi) …………………………….. (b) Potassium tetraoxo manganate (vii) ……………………… (b) Silver trioxonitrate (v) …………………………………… (c) Trioxonitrate (v) acid ……………………………………… (d) Iron (II) Sulphide ………………………………………… 80 (e) Ammonium chloride ……………………………………… (f) Trioxosulphate (iv) acid …………………………………… (g) Trioxosulphate (iv) acid …………………………………… (h) Tetraoxophosphate (v) acid ……………………………… (i) Ethanoic acid ……………………………………………… (3) Write and balance the neutralization equation for. (a) Sodium hydroxide and hydrochloric acid ……………………………………………………………. (b) Copper (II) oxide and trioxosulphate (iv) acid …………………………………………………………….. (c) Calcium hydroxide and tetraoxosulphate (vi) acid …………………………………………………………….. (d) Ammonium hydroxide and trioxonitrate (v) acid ……………………………………………………………. (e) Potassium hydroxide and tetraoxosulphate (vi) acid ……………………………………………………………. (4) Write and balance the following equation. (a) Copper (II) ions combines with chloride ions to give copper (II) chloride ……………………………………………….. (b) Zinc ions combines with tetraoxosulphate (vi) ions to give zinc tetraoxosulphate (vi) …………………………………. (c) Sodium ions combines with chloride ions to form sodium chloride ……………………………………………………. 81 APPENDIX II RELIABILITY OF THE INSTRUMENT. Raw scores of the students per rater/score Raters Raw scores of the students per rater. Raters 1 2 3 4 5 6 Ugwu 38 40 40 44 47 67 Eze 35 43 45 47 50 70 Odo 35 37 35 47 50 72 Ugwuja 55 48 33 50 67 62 Ranks of the score of students per rater Raters 1 2 3 4 5 6 Ugwu 5 5 5 4 3 1 Eze 6 4 4 3 2 1 Odo 6 6 6 3 2 1 Ugwuja 2 3 6 2 1 1 RJ 19 18 21 12 8 4 Kendall W 125 N2 (K3 –K) Where S = (Rj - Rj/K)2 82 Where Rj/K = sum of the ranks for each student Where Rj/K – mean of the total ranks for all the students N = number of raters K = number of candidates being rated. S – (19 -14)2 + (18 – 14)2 + (12 – 14)2 + (21 – 14)2 + (8 – 14)2 ( 4 – 14)2 W = 12 x 230 42 (63 – 6) = 2760 3360 = 0.82 0.82 is the index of concordance of the scores/raters. 83 APPENDIX III Hypothesis One (HO1) Student’s difficulties in writing chemical equation do not depend on gender as measured by the number of male and female students that had difficulties in (the various classes of difficulty) responding to the (WBCEDT) S/N Student difficulty in writing chemical Percentage of Students equation with difficulty Male Female Total 1 Use of wrong and small letter in writing the symbols of the atoms 74 68 142 (72.16) (69.64) involved 2 Poor knowledge of rules guiding the writing of chemical formulae of 68 70 139 (70.64) (68.36) compounds 3 Misplacement of numbers attached to the formulae of chemical compounds 64 61 125 (63.52) (63.52) 4 Lack of knowledge of valency of atoms 76 70 146 (74.19) (71.81) and radicals 5 Lack of knowledge of correct chemical formulae of atoms and compounds 6 Lack of accuracy in writing chemical formulae of compound Total X2 = ∑ (O − E ) 2 = E 73 73 146 (74.19) (71.81) 75 75 150 (76.23) (76.23) 430 (74 − 72.16) 2 (68 − 96.84) 2 + 72.16 69.84 417 + 847 (68 − 70.64) 2 + 70.64 84 (70 − 68.36)2 (64 − 63.52)2 + 68.36 63.52 (76 − 74.19)2 + 74.19 (70 − 71.81) 2 71.81 (75 − 76.23)2 + 75 − 76.25 76.25 76.23 = + + (61 − 63.52) 2 63.52 (73 − 74.19) 2 74.19 + + (76 − 74.19) 2 63.52 + (73 − 71.81)2 + 71.81 0.05 + 0.05 + 0.10 + 0.04 + 0.0036 + 0.10 + 0.03 + 0.05 + 0.02 + 0.02 + 0.02 + 0.02 = 0.524. X2 critical for df (6 – 1) (2 – 1) = 5 at -.05 level of significance = 4.35. 85 APPENDIX IV Hypothesis two (HO2) The students difficulties in balancing chemical equations do not depend on gender as measured by the percentages of male and females that had difficulties in balancing chemical equation. S/N Student difficulty in writing chemical Percentage of Students equation with difficulty Male Female Total 1 2 3 4 5 Lack of knowledge correct formulae of 61 compounds (63.56) (64.44) Lack of knowledge of valency of atoms 76 in the formulae of compounds reacting (75.48) (76.52) Poor knowledge of rules guiding the 80 balancing of equation (77.96) (79.04) Interfering/changing the formulae of 59 compounds during balancing (61.57) (62.43) Ability to check each atom on both sides 77 of the equation to make sure that the 67 76 77 65 75 128 152 157 124 152 (75.48) (76.52) equation is balanced 6 Ability to make sure that the coefficients 79 used are all whole numbers and are 78 157 (77.96) (79.04) reduced to their lowest terms. Total X2 = (O − E )2 (61 − 63.56) 2 = E 63.56 432 + (67 − 64.44) 2 64.44 + 438 (76 − 75.48)2 75.48 870 86 + (76 − 76.52)2 76.52 (65 − 62.43) 2 62.43 + (79 − 77.96) 2 77.96 X2 = + (80 − 77.96)2 77.96 + + (77 − 75.48) 2 75.48 + (78 − 79.04) 2 79.04 (77 − 79.04) 2 79.04 + (75 − 76.52)2 + 76.52 (59 − 61.57) 2 61.57 + 0.10 + 0.10 + 0.004 + 0.004 + 0.05 + 0.05 + 0.05 + 0.11 + 0.11 + 0.03 + 0.03 + 0.01 + 0.01 = 0.658. X2 critical for df = (6 – 1) (2 – 1) = 5 at 0.05 = 4.35. 87 APPENDIX V Hypothesis Three (HO3) The students difficulties in writing chemical equation do not depend on class level. S/N Student difficulty in writing Percentage of difficulties (observed chemical equation frequency) & expected frequency class by class in writing chemical equation (see appendix – for details) SS I SS II SS III Total 1 Use of wrong and small letter in 83 writing the symbols of the 67 58 208 (84.12) (67.61) (56.27) atoms involved 2 Poor knowledge of rules 85 65 55 guiding the writing of chemical (82.91) (66.64) (55.46) 205 formulae of compounds 3 Misplacement of numbers 73 65 47 attached to the formulae of (74.82) (60.13) (50.05) 185 chemical compounds 4 5 Lack of knowledge of valency 86 70 of atoms and radicals (87.76) (70.54) (58.71) Lack of knowledge of correct 83 70 61 64 217 217 chemical formulae of atoms and (87.76) (70.54) (58.71) compounds 6 Lack of accuracy in writing 88 71 63 chemical formulae of (89.78) (72.16) (60.06) 222 compound Total 499 408 348 1254 88 X2 (O − E ) 2 = E = (83.84.12) 2 84.12 (67 − 67.61) 2 67.61 + (85.82.91) 2 (88 − 78.86) 2 (63 − 63.39)2 + + + + 82.91 78.86 63.39 + (73 − 74.82)2 74.82 + (65 − 60.12)2 60.13 + (58 − 56.27) 2 56.27 + (44 − 52.75)2 52.75 (47 − 50.05) 2 (86 − 87.76) 2 + 50.05 87.76 + (70 − 70.54)2 70.54 + (84 − 58.71)2 (88 − 89.78) 2 (71 − 72.16) 2 (63 − 60.06)2 + + + . 58.71 89.78 72.16 60.06 + (61 − 58.71) 2 (83 − 87.76) 2 (70 − 70.54) 2 + + 58.71 87.76 70.54 X2 = 0.01 + 0.01 + 0.05 + 0.45 + 1.06 + 0.002 + 1.45 + 0.04 + 0.39 + 0.19 + 0.04 + 6.004 + 0.09 + 0.26 + 0.004 + 0.48 + 0.04 + 0.02 + 0.14 = 4.73 X2 critical for df (6 – 1) (3 – 1) = 10 at 0.05 = 10.34 89 APPENDIX VI Hypothesis four (HO4) The students’ difficulties in balancing chemical equation do not depend on class level. of difficulties S/N Student difficulty in writing chemical Percentage equation (observed frequency) & expected frequency class by class in writing chemical equation (see appendix – for details) SS I SS II SS III Total 1 Lack of knowledge correct formulae of compounds 2 Lack of knowledge of valency of atoms in the formulae of compounds reacting 3 Poor knowledge of rules guiding the balancing of equation 4 Interfering/changing the formulae of compounds during balancing 5 Ability to check each atom on both sides of the equation to make sure that 80 60 (72.40) (62.89) 50 190 (54.70) 84 75 (86.88) (75.47) 69 288 (65.64) 84 80 (89.16) (77.45) 70 234 (67.37) 78 60 (69.73) (60.57) 45 183 (52.68) 85 75 (87.64) (76.13) 70 230 (66.22) 84 80 (89.16) (77.45) 70 234 (67.37) 495 374 the equation is balanced 6 Ability to make sure that the coefficients used are all whole numbers and are reduced to their lowest terms. Total 430 1299 90 X2 = (O − E )2 (80 − 72.40)2 = E 72.40 (84 − 86.88)2 86.88 + + (60 − 62.89) 2 + 62.89 (75 − 75.47) 2 75.47 + (50 − 54.70)2 54.70 + (69 − 65.64)2 (84 − 89.16) 2 + + 65.64 89.16 (80 − 77.45) 2 (70 − 67.37) 2 + 77.45 67.37 + (78 − 69.73) 2 + 69.73 (60 − 60.57) 2 + 60.57 (45 − 52.68) 2 52.68 + (85 − 87.64) 2 87.64 + (75 − 76.13) 2 76.13 (70 − 66.22) 2 + 66.22 (84 − 89.16) 2 89.16 + (80 − 77.45) 2 + 77.45 + (70 − 67.37) 2 . 67.37 X2 = 0.79 + 0.13 + 0.40 + 0.05 + 0.00 + 0.17 + 0.29 + 0.08 + 0.10 + 0.98 + 0.00 + 1.11 + 0.07 + 0.01 + 0.21 + 0.29 + 0.08 + 0.10 = 4.86 X2 critical for df (6 – 1) (3 – 1) = 10 at 0.05 level of significance = 9.342
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