International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) An Innovative Approach in Teaching Digital Electronics at Technical High Schools Dr. Alexandros Papadimitriou School Teacher Advisor of the Greek Ministry of Education, Kifisias 16, Athens, Greece Abstract — This paper describes an innovative scenario in teaching digital electronics at technical high schools. The course designed to improve students’ applied logic ability, practical thinking, creative thinking, and critical thinking. The students work in teams in order to solve initially simple technical problems by using simulations and by comparing various circuits, and then more complex technical problems. The teacher guides the students through exploratory questions to discover new logic circuits by synthesizing simple logic circuits. Then, they are called to simplify them in order to make simpler circuits with the lowest cost. At the end of scenario, the students evaluate their own work and that of others. This paper makes several contributions to the fields of education of technicians on digital electronics, applied logic, critical and creative thinking. The teaching approach was applied in various technical high schools in Greece during the 2011-2012 schooling period with a great success. This paper aims to provide a scenario framework by using inquiry-based simulations, explorations, guided discovery and communication for helping students to better understand digital electronics. Through a process of inquiry, the empirical evidence is transformed into revised and new knowledge structures [17]. Explorations promote a new state of understanding or equilibrium or self-regulation when new concepts and principles are derived from the exploration experience [1]. Elements of a scenario include the role the students will play at each stage of scenario, the tools they will use, and the sequence of activities in which they will be engaged. For the sake of their joint activities, students need to articulate their opinions, predictions and interpretations. Conflict sometimes arises in peer collaboration when students disagree with each other in their interpretations or approaches to the task. When solving a problem, students co-construct shared knowledge and understanding by complementing and building on each other’s ideas [31]. The remainder of this article is structured as follows. In the Section II the literature review is presented. In the Section III the principles of team formation in the scenario are described. In the Section IV the scenario framework is described, and in the Section V a conclusion for the present work is presented. Keywords — digital electronics, social constructivism, problem solving, critical and creative thinking. I. INTRODUCTION The modern trend in teaching electronics is to complement lectures on theory and laboratory exercises with the computer simulation of circuits [32]. In teaching modern digital electronics to physics students it is becoming increasingly important that both student and instructor learn to use simulation programs. Digital electronic technology is a very important course of electronic technical and it's traditional teaching methods are no longer adapted to the demand of their professional training. Traditional teaching methods either start by explaining a theory and showing some examples or giving an example to introduce a theory. However, one of the both methods is chosen and fixed by the teacher independently of what is best for most of the students. In a traditional classroom, students are passive listeners most of the time. They come to the classroom unprepared and just listen to the instructor and take notes. This classroom environment lacks interactions between faculty and students, and between students themselves. These interactions are very important to the achievement of the students. If students actively participate in the classroom learning activities, they will be more cognitively engaged and as a result be able to achieve a better understanding of new materials [35]. II. LITERATURE REVIEW Critical thinking is a crucial skill that the technical high school students need to develop in order to deal with technical real-life authentic problems. [16] claims that many critical thinking courses overemphasize the valid arguments which is a criterion of cogent reasoning. While [16] views critical thinking as its own topic of study, other researchers emphasize the need to infuse critical thinking into every aspect of students’ learning. [30], for example, claim that infusing critical and creative thinking into the high-school classroom improves student learning by eliminating hastiness, narrow-mindedness, obscurity, and lack of focus. [23] provide another argument for teaching students critical thinking before they go to college. 1 International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) Studying critical thinking in high school allows students to incorporate these skills into their learning process at an earlier age, thereby providing continuity and a strong foundation from which to expand during college level instruction, ultimately resulting in greater skill retention [5]. This approach can be coupled with the scaffolding approach of [33], which is implemented in a variety of college courses. Critical thinking allows students to assess information by sorting out subjective, biased, or even false information and has become a key factor in transforming students into efficient information consumers [27]. Instead, [25] claims, teachers should instruct students how to use these tools for the creation and expansion of students’ ability to acquire knowledge. Critical thinking is conceptualised and understood in different ways depending on the discipline according to [15]. When embedding the development of critical thinking and meta-cognitive skills within the learning of the discipline, it is crucial for students to receive effective, deliberate practice in the skills and to be provided with appropriate feedback [14]. The feedback given on an assessment or activity that helps to develop critical thinking needs to include feedback on the students’ critical thinking skills. [36] proposes that there is often a gap between the feedback that academics think they are providing and the students’ understanding of that feedback. Teachers should scaffold students’ learning of critical thinking by making the critical thinking skills explicit, asking students to think about their learning from different perspectives, and presenting them with structured opportunities for developing the critical thinking skills. Providing these opportunities will enable students to learn how to learn, how to think for themselves, and how to reason with others by the time they graduate [33]. The revised Bloom’s taxonomy of levels of thinking has six levels, as follows: (i) Knowledge–Remember; (ii) Understand; (iii) Apply; (iv) Analyse; (v) Evaluate; and (vi) Create. Students should be required to learn to work at all of these levels of thinking [4]. Critical thinkers would be able to work at the higher levels of Bloom’s revised taxonomy. Creative thinking and critical thinking can be viewed as complementary, with both skills being studentcentred and encouraging students to think independently [10]. Some of skills appropriate to develop the students’ critical and creative thinking, are the followings [9,10]: Consideration and evaluation of different points of view; Open-mindedness; Development of a logical argument with appropriate evidence; Analysis of the quality of sources; Synthesis from a variety of sources; Deduction – reasoning from the general to the specific; Induction – reasoning from the specific to the general; Problem solving, even with previously unknown problems; Development of criteria for evaluation; Evaluation of their own decision making; Evaluation of their own work and that of others; Purposeful, reflective judgement; and Self-regulation. In the formulation of the activity that I present below, I take into account some of the above suggested skills which are the deduction, induction, problem solving, the development of criteria for evaluation, the evaluation of their own work and that of others, and self-regulation. [8] suggests that science is best taught through experiments, labs, demonstrations and visualizations which help the learners understand physical phenomena conceptually. According to [7], experiments, observation, measuring and theoretical speculations are processes that cannot be separated from the science knowledge construction, even in the classroom. According to [29], educators should consider stimulating the basic purposes of schooling curiosity, exploration, problem solving, and communication. In a problem solving environment, the learner encouraged to solve the problem, which is set in a realworld framework and is interesting, challenging, and complex for the learner. In order to solve a problem, the learners have to discover or learn new knowledge either individually or together in groups, analyze relevant information obtained from different sources, think critically, creatively, reflectively, and flexibly, trying out alternate solutions to both cognitive and social problems, and discuss the solution with others. Science instructors generally believe that the problem-solving leads to the understanding of science and that it is a reliable way to demonstrate the understanding for purposes of evaluation [19]. Also, science education researchers have developed a number of strategies that have been shown to be effective in improving student problem solving performance, such as when students work with other students, or with a computer, where they must externalize and explain their thinking while they solve a problem [24]. 2 International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) The problem-solving scenarios follow a socioconstructivist approach and promote the inductive and deductive way of learning, as students are encouraged to discover, test structures and apply the knowledge obtained to new situations. Generally, the scenarios promote and support problem-based learning, where students can be creative, learn how to combine knowledge from different thematic areas, can think critically, analytically, and learn how to solve real problems. While solving the problems, they are carefully guided to learn the associated concepts and procedures. Also, the scenarios would require students to reflect upon the whole resource by predicting, hypothesising, and experimenting to produce a solution and it also provides for coaching at critical times, and scaffolding of support, where the teacher provides the skills, strategies and links that the students are unable to complete the task [6]. Scaffolding is a process in which students are given support until they can apply new skills and strategies independently and it has been found to be an excellent method of developing students’ higher level thinking skills [26]. [34] theories of scaffolding knowledge through peer discussion and interaction has been applied systematically under the rubric of cooperative learning. Cooperative learning is an instructional technique in which students work together in structured small teams in order to accomplish shared goals [13]. In cooperative team problem solving [12]: (a) the students have a chance to practice the strategy until it becomes more practical; (b) complex problems can be solved easier by teams rather than individuals; (c) students get practice developing and using the language of physics; (d) in their discussion with each other, students must deal with and resolve their misconceptions; (e) at the brainstorming of the problems, students are less intimidated because they are not answering as an individual, but as a team. Additionally, the cooperative team problem solving positively affects on the attitude scores of students and on physics achievements and achievement motivation of students [11]. One method of scaffolding is through the use of questioning or prompting. Questions can be asked to identify the logic and/or the origin of an idea and to prompt the student into thinking about supporting or conflicting evidence or the implications of their ideas [28]. Activities supported by the proper scaffolding can help students develop expertise across all four domains of learning, as follows [18]: (a) Cognitive capacity to think, solve problems, and create; (b) Affective capacity to value, appreciate, and care; (c) Psychomotor capacity to move, perceive, and apply physical skills; and (d) Conative capacity to act, decide, and commit. III. TEAM FORMATION IN THE SCENARIO In order to have effective teams we should take into account team policies and expectations. Effective teams are characterized by mutual trust and respect, acceptance, understanding, courtesy, ability, willingness, effective collaboration, and the low number of members who must possess specific knowledge, skills, shared beliefs and attitudes [2, 21). Research shows that students working in small teams tend to learn more of what is taught, retain it longer than when the same content is presented in other instructional formats, and appear more satisfied with their classes [3]. Taking into account the [21] suggestion, I adopt that the teams should be formed with three (recommended) or four students who have the top, average, lower and/or lowest scores. For three person teams, the specific roles should be assigned as follows: Coordinator, Recorder, and Discusser. For four person teams, the specific roles should be assigned as follows: Coordinator, Recorder, Discusser, and Energizer. The responsibilities for each role are defined below. Coordinator: directs the sequence of steps (e.g., we need to move on to the next step), manages time (e.g., let us come back to this later if we have time), reinforces merits of everyone’s ideas, ensures that each team member participates, keeps team focused on task, summarizes (if there is no Energizer in the team) the team's discussion and conclusions (e.g., so here is what we have decided) or how the solution was attained. Recorder: writes down actual steps, makes sure everyone understands both the solution and the strategy used to get it, checks for understanding of all team members (e.g., George, explain me this diagram) or for the final solution for accuracy and turns it in by the due date and time, makes sure all team members agree on each step of the problem solution or on plans and actions (e.g., are we in agreement on this?), submits reports for the team. Discusser: makes sure all possibilities (e.g., possible problem-solving strategies or plans and actions) are explored (e.g., what other possibilities are there?), suggests alternative approaches or concerns with suggested solutions (e.g., let us try to look at this another way), provides reasoning and explanations of steps to team members if necessary, ensures problem and data interpretation is correct (e.g., I am not sure we are on the right track). 3 International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) Energizer: energizes the team when motivation is low by suggesting a new idea (e.g., we can do this!), through humor or by being enthusiastic (e.g., that is a great idea!). Summarizes (restates) the team's discussion and conclusions (e.g., so here is what we have decided). These roles should be better to rotate for every assignment. The student teams would be better to be formed by sociometric tests and sociograms. Also, the following suggestions of [20] for the design of effective team activities should be taken into consideration in team formation: team activities and assignments can be a highly effective tool for developing both students’ mastery of basic conceptual material and their higher-level thinking and problem solving skills. the vast majority of student or workshop participants dysfunctional behaviours (e.g., social loafing, one or two members dominating the discussion, etc.) and complaints (e.g., having to carry the dead wood, the instructor is not teaching, etc.) are the result of bad assignments not bad learners. the key to designing effective team assignments is to maximize the extent to which the learning tasks promote the development of cohesive learning teams, and the single best way to gauge the effectiveness of team assignments is the observe the level of energy that is present when the results of the small team discussions are reported to the class as a whole. Topic/domain: digital electronics/decoders. Pre-requisite skills/ knowledge: Learners should be able to improve their own learning and performance, solve problems, and work with other learners. They must know the concepts voltage and current and the function of switches, electronically controlled switches, and logic gates. B. Pedagogic Activities Learning tasks/activities: Teacher initiates students to what he/she is going to teach through an introductory discussion. Also, he/she should connect the prior knowledge with new knowledge. Learning objectives/outcomes The students studying the decoders should be able to: collect information from data sheets and choose the appropriate chips (remember); solve, analyze (analysis) and design (creation) combinational logic circuits; anticipate (creation) the function of the decoders by comparing (analysis) them with known circuits; explain the operation of the decoders (comprehension); check and dissect for the correct function of logical circuits (analysis); combine, synthesize, simplify (creation), and construct (application) logic circuits by using (a) logic gates, and (b) chips; suggest solutions and justify them (evaluation); develop criteria for evaluation of their own work and that of others (creation); evaluate their own work and that of others(creation); collaborate for solving of technical problems. In general, students should learn how to learn, how to think for themselves, and how to reason with others by the time they graduate. Tools/ Resources: Traditional course book, CircuitMaker software, Worksheets of activities, Whiteboard. Assessment Strategy: Oral questioning and discussion between student teams and teacher. Time allocated: Up to six didactic hours. The worksheets of the activities were created based upon the following National Science Education Standards [22]: the material provides a sequence of learning activities connected in such a way as to help students build abilities of inquiry, understandings of inquiry, and/or fundamental science subject matter concepts, and specific means (e.g., connections among activities, building from concrete to abstract, and embedded assessments) to help the teacher keep students focused on the purpose of the lesson, IV. THE SENARIO FRAMEWORK To motivate the students to be actively engaged with the course material, I decided to design it in the form of scenario so that the subject content is closely related to their interests. I found that this makes the course more effective and interesting to the students. Also, the students are required to perform real-life authentic tasks, in order to obtain practical, critical and creative thinking skills in learning of digital electronics. In the present paper, I present a scenario for the learning of decoders in digital electronics. The curriculum area and pedagogic activities of the scenario are the followings: A. Curriculum area Subject/discipline area: science education; Context/level of study: Technical High School. The scenario is implemented in the penultimate grade of the Technical High School; students are 16-18 years old. A class of 21 to 24 students may participate in the scenario implementation (6 to 7 student teams). 4 International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) the teacher’s guide present common student difficulties in learning inquiry abilities and understandings, there are suggestions provided to access prior abilities and understandings of students, opportunities for students are given to demonstrate the same understandings as part of their investigations. The instructor and tutors monitor the progress of the teams and provide assistance only when requested. Students are encouraged to discover new principles, expertise and abilities through experimentations, observations and inquires, and in turn, use what they discovered, to solve challenging problems. C. Activities General Directions: You will need the CircuitMaker software (Student Edition) for these assignments. Use the guides of the worksheets to answer the questions. Design by yourself the experimentations (simulations) and experiment with them so that the simulations meat the goals of each activity. Use scientific criteria to analyze alternative explanations. Discuss with your partners of both roles and limitations of skills such as analyzing, synthesizing and evaluating, and constructing explanations. You should work in teams of three (recommended) or four members. 1) Activity 1: Comparison and connection between the function of switches connected in series and electronically controlled switches connected in series. Lesson Focus: Understanding the function of circuits using electronically controlled switches by comparing its function with the function of simple switching circuits. Lesson Synopsis: This activity encourages student teams to design logic circuits with switches and electronically controlled switches, experiment with them, observe their function, and verify if their function meats the goals of their design. Also, they should use inductive reasoning to generalize the function of switching circuits. Prerequisites: Concepts of Voltage, Current, and functions of switches and light emitting diodes, knowing of inductive reasoning. Worksheet 1 1. Make the following two simulations in the CircuitMaker software. A B + 5V D1 LED1 - ESW1 ESW2 + 5V D1 LED1 A 0V B 0V 2. Compare the behaviour of the LED1 (emission of light) in both of the circuits above for all the combinations of both of the switches A and B. Do the two circuits above implement the same logic function? What can we conclude from this comparison? 3. Repeat the steps 1 and 2 for circuits with three switches connected in series and electronically controlled switches connected in series, respectively. 4. Use inductive reasoning to generalize the function of circuits using more than three switches connected in series and electronically controlled switches connected in series, respectively. 2) Activity 2: Comparison and connection between the function of electronically controlled switches connected in series and the function of the AND gate. Lesson Focus: Understanding the function of AND gate by comparing its function with the function of electronically controlled switches connected in series. Lesson Synopsis: This activity encourages student teams to understand the function of AND gate by comparing its function with the function of electronically controlled switches connected in series, experiment, observe their function, and verify if their functions are the same. Also, they should use inductive reasoning to generalize the function of AND gate with more than two inputs. 5 A B International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) + Prerequisites: knowing of the function of electronically 5V D1 LED1 of controlled switches connected in series, knowing inductive reasoning. Worksheet 2 1. Make the following two simulations in the CircuitMaker software. ESW1 Lesson Synopsis: This activity encourages student teams to design different combinational logic circuits by using one only AND gate, and at most two NOT gates for the four combinations of both of the switches A and B connected to two inputs of AND gate. Thus, this activity helps the student teams foster analytical and practical abilities. Prerequisites: Activity 2. Worksheet 3 1. Using the formulation below, make the appropriate connections and design four different logical circuits in such a way that in each of them the diode LED1 will emit light for one only combination of both of the switches A1 and B1. Experiment with them, suggest solutions and justify them. ESW2 + 5V D1 LED1 0V A B 0V A1 NOT 0V AND A D1 LED1 0V B1 0V AND B NOT The student teams are guided by the teacher and they also accept feedback if it is appropriate. At the end, the teacher presents to the students the four logic circuits for reflection. 4) Activity 4: Synthesis (integration) all of the four logic circuits of the activity 3 in one combinational logic circuit (decoder 2 to 4). Lesson Focus: The aim of the course is to make the students to be able to synthesize (integrate) simple logic circuits in one combinational logic circuit. Lesson Synopsis: This activity encourages student teams to foster and enhance their synthetic ability. Prerequisites: Activity 3. Worksheet 4 1. The following logic circuits are the solutions of the problem of the Activity 3. Synthesize (integrate) the logic circuits below in such a way that all of them to be controlled by two only switches A1 and B1, simultaneously, and each of the four LEDs to emit light for one only of combinations of both of the switches A1 and B1. D5 LED1 0V 2. Compare the behaviour of the LED1 (emission of light) in both of the circuits above for all the combinations of both of the switches A and B. Do the two circuits above implement the same logic function? What can we conclude from this comparison? 3. Repeat the steps 1 and 2 for circuits with three electronically controlled switches connected in series and an AND gate with three inputs, respectively. 4. Use inductive reasoning to generalize the function of the AND gate with more than three inputs. 3) Activity 3: Anticipation-expectation of the four combinational logic circuits. Lesson Focus: Design of combinational logic circuits by the student teams which should have a concrete function that will meat the goals of design. 6 International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) Prerequisites: Activity 5. Worksheet 6 The students are called to create by themselves the truth table of the decoder 2 to 4. Then, the instructor presents one chip of the decoder 2 to 4 (e.g. the 74LS139) and explains the function of its pins. Also, he/she explains the negative logic of its function. The students experiment with the logic circuit below in order to be familiarized with a decoder 2 to 4 in the form of chip and its negative logic. A1 0V NOT AND B1 0V D6 LED1 NOT A1 0V NOT AND D3 LED1 B1 5V 5V D4 LED1 A1 D1 LED1 AND NOT A DEC2TO4 74LS139 0V D1 LED1 B1 0V A1a A0a Ea B 0V A1b A0b Eb A1 5V AND S1 Q3a Q2a Q1a Q0a Q3b Q2b Q1b Q0b D2 LED1 D3 LED1 + B1 5V 5V D2 LED1 - 7) Activity 7: Application of the knowledge obtained by the students to a new situation with more complexity. Lesson Focus: The aim of the course is to make the students to be able to apply the knowledge obtained until now to a new situation with more complexity. In general, the students through this activity should be able to solve, analyze and design similar combinational logic circuits. Lesson Synopsis: This activity encourages student teams to foster and enhance their synthetic ability. Prerequisites: Activity 6. Worksheet 7 The students are called to create by themselves the truth table of the decoder 3 to 8, write the min-terms, and make the logical circuit in a simulator by using the min-terms. 8) Activity 8: Development of criteria for evaluationEvaluation of their own work and that of others. Lesson Focus: The aim of the course is to make the students to be able to be creative by developing criteria for evaluation of their work and that of others, and to apply them. Lesson Synopsis: This activity encourages student teams to foster and enhance their creative ability. Prerequisites: Activity 7. 5) Activity 5: Simplification-Modification of the combinational logic circuit emerged from the activity 4. Lesson Focus: The aim of the course is to make the students to be able to simplify logic circuits so that the resultant logic circuits to implement the same function with the original one, and have the lowest cost. Lesson Synopsis: This activity encourages student teams to foster and enhance their analytical ability. This includes the ability to think convergently in that it requires critical thinking and appraisal as one analyzes and evaluates thoughts, ideas, and possible solutions. This type of thinking is key in the realm of creative work. Prerequisites: Activity 4. Worksheet 5 1. Simplify-modify the resultant logic circuit in activity 4 so that it to implement the same function with the original one, and have the lowest cost. 6) Activity 6: Application of the knowledge obtained by the students to a new situation with a negative logic. Lesson Focus: The aim of the course is to make the students to be able to apply the knowledge obtained until now to a new situation with negative logic, and to be familiarized with chips. Lesson Synopsis: This activity encourages student teams to foster and enhance their practical ability, to increase their motivation, and to help students learn to transfer knowledge from one situation to a new situation. Worksheet 8 1 The student groups are called to develop criteria for evaluation of their own work. The teacher assists them in the development of criteria. 7 International Journal of Emerging Technology and Advanced Engineering Website: www.ijetae.com (ISSN 2250-2459, Volume 2, Issue 9, September 2012) 2 The student groups are called to apply the criteria for evaluation of their own work and that of others. It is very important to point out that this study certify the research of [5], that is, the ability of students to improve their critical thinking stresses the need for students in general to acquire critical reasoning skills at the high school level. Also, the students obtained collaborative abilities (willingness, effectiveness) which they were unknown to them so far. V. CONCLUSIONS This paper makes several contributions to the fields of education of technicians on digital electronics, applied logic, critical and creative thinking. This education area (technical high schools) has very little research on the contemporary didactics. This paper contributes to this direction. It describes an innovative scenario in teaching digital electronics at technical high schools. The course is designed to improve students’ applied logic ability, practical thinking, creative thinking, and critical thinking. Moreover, this scenario helps the students construct and coconstruct their own deep understanding and knowledge on digital electronics through inquiry-based simulations, explorations, guided discovery, collaboration, and by comparing a known with an unknown logic circuit as well. In this way, the students discover principles and new knowledge of the unknown logic circuits. The role of the student teams is very important for the improvement of each student achievement. The students work in teams in order to solve initially simple technical problems by using simulations and by comparing various circuits, and then more complex technical problems. The teacher guides and support the students, through exploratory questions, to discover new logic circuits by synthesizing simple logic circuits. Then, they are called to simplify-modify them in order to make simpler circuits with the lowest cost. At the end of scenarios, the students evaluate their own work and that of others. The scenario was applied by the author as exemplary teaching (in the framework of school teacher advisor) in various technical high schools in Greece during the 2011-2012 schooling period with a great success. The main conclusions from the application of the scenario in classrooms are the followings: The majority of students’ performances were significantly improved from the pre-test to the post test concerning the four first activities of the scenario. A significant amount of students have had difficulties to simplify-modify logic circuits (activity 5). They need the teacher’s guidance and support. A small amount of students have difficulties to apply knowledge to a new situation with more complexity (activity 8). The students have difficulties in developing criteria for evaluating their own work and that of others, and they certainly need the teacher to guide and support them. REFERENCES [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] 8 Abdullah, S. and Shariff, A. 2008. The effects of inquiry-based computer simulation with cooperative learning on scientific thinking and conceptual understanding of gas laws. 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