CHAPTER 1 Learning, Teaching, and Assessment: A Human Constructivist Perspective |OSEPH D, NOVAK CoriuU Unwftstty |OEL | MINTZES Uiiivirsi(u o| Nortft Carolimi iinJ Nor(ii Cnri'liiia SIJIi UnivirsilM |AMES H. WANDERSEE Lomiiana State üiímnity T H E ROLE OF ASSESSMENT In 1973, joseph Schwab argued that every educative episode involves four commonplaces. (I) the learner. (2) the teacher. (31 the subject matter or knowledge, and (4) the social milieu, We see value in these basic elements suggested by Schwab, but would add a fifth element |5) assessment (Novak, 1998) Whetherin school, work, orrecreation, so muchofwhatweachieveas learners is controlled in good measure by how our performance is appraised, evaluated, or rewarded. While we believe the primary motivation for learning should be the satisfaction that comes with achieving competence, we need assessment to gauge the degree to which we approach or attain high competence High-quality assessment can facilitate high-quality learning, but unfortunately, poor assessment can deler or prevent highquality learning and may reward performance tlutt is deleterious to the learnor in the long run Much has been written to show that too much As*/Hjn,) 5iitmi UrMnUrtd:nj 1.':" ; - i v r i ir. 'ltnjliiscitrfptoi!ufliotiinativlatmri-''l I 2 |oseph 0. Novak, |oel I Minlzes, and lames H Wandersce school testing can play this deleterious role, and some of the authors in this book will address this problem. Our objective, however, is less to castigate poorschool evaluation practices than to provide promisingalternatives. We agree with Schwab (1973) that each of the commonplaces or elements of education interacts with all of the other elements, and therefore no element can be considered in isolation from the others, as is too often the practice in books on testing or evaluatioiv Therefore, we begin by considering each of the first four elements before proceeding to our focus on assessment. T H E LEARNER In the last quarter century, much progress has been made in our understanding of how humans learn and of the factors that influence their learning There is general agreement on the idea that, except for the neonate, all learners come to a learning task with some relevant knowledge, feelings, and skills By school age, children have already attained several thousand concepts and language labels for these concepts. We see concepls as playing a primary role in our theory of learning and our theory of knowledge and hence we wish to define concepts very explicitly: Concepts are perceWcd regularities in events or oi>jecls, or records of events or objects, designated hy a lai>ei Our evolutionary history has conferred on every normal child the capacityto recognize regularities in events orobjectsand to use language to label these regularities. Thus children learn to recognize and correctly label moms. dads, raining, running, and other such regularities. The language they use to label these regularities depends on the social milieu in which they are raised, but the capacity is universal. Of course, there are genetic variations in the capacities to perceive specific kinds of regularities, and some children see color, sounds, personal characteristics, and myriads of other events or objects with greater acumen than others. This has led people to propose many "faces of intellect" (Guilford. 1959) or, more recently, "multiple intelligences" (Gardner. 1983); but such classifications may do more to obfuscate the fundamental capacity of humans to perceive regularities of various kinds and to label and use concepts than to illuminate the process by which this basic form of learning occurs. Learners do not store concepts as isolated bits: instead, they form relationships or connections between concepts to form propositions. Propositions are statements about how some aspect of the universe is perceived or functions. Thus "sky is blue," "doggies have four legs." and "cells are units that make up living things" are propositions about how some things are perceived, whereas "parlies are fun." "ice cools drinks." and "electrons move in conductors are propositions about how some things function. Propositions are unils of meaning, whereas concepts are the "atoms" that make up these units. The idea that all knowledge Is constructed from concepts and rela- t Learning, Teaching, and Assessmenl 3 tionships between concepts represents our fundamental epistemológica! beliefs, which are discussed further in the next section. Learning may proceed in two different ways. RoIi learning occurs when the learner makes no effort to relate new concepts and propositions to prior relevant knowledge he/she possesses. Meaningful learning occurs when the learner seeks to relate new concepts and propositions to relevant existing concepts and propositions in his/her cognitive structure. There is a continuum from rote learning to highly meaningful learning in that the degree of the latter depends on the quantity of relevant knowledge the learner possesses, the quality of organization of relevant knowledge, and the degree of effort made by the learner to integrate new with existing concepts and propositions. These ideas can be illustrated using concept maps. Two concept maps are shown in Figure !. Map (A) illustrates some of the missing concepts and misconceptions that are charactistic of rote learners, whereas map (B) shows the organized knowledge of an "expert" meaningful learner Another distinction in learning Is the contrast between surface and deep learning (Marton 5- Saljo, 1976). Surface learning can be related to near rote or very low levels of meaningful learning, whereas deep learning would be characterized by relatively highly levels of meaningful learning. Perhaps the best-known classification scheme is Blooms (1956) TdWiiomtj Bloom described 6 taxonomic levels for evaluation of learning ranging from level 10. "recall ofspecifics." to level 5, "synthesis." and level 6, "evaluation Studies of classroom testing have shown that most test items do not require more than level 1 performance. The consequence is that learning by rote can in some ways best achieve high performance on such test items When the curriculum presents almost innumerable "factoids" or bits of information to be recalled, it is almost impossible for most students to consider how each of these "factoids" relates to what they already know or to integrate the changed meanings that result as this information is assimilated The "overstuffed" curriculum in many science courses is one of the reasons students resort to rote learning Another reason students resort to rote learning is that they often possess many invalid notions or misconceptions in virtually every domain of knowledge. Unless students have the time. encouragement, and the inclination to reconstruct their faulty conceptual frameworks, they can do better on tests in most content domains if they simply memorize the "correct" information, procedure, oralgorithm Furthermore, teachers and textbooks can have idiosyncratic descriptions for specific concepts and propositions, and role learning may be the most efficient strategy when verbatim recall of this information is required. Other pitfalls of typical classroom testing will be discussed in this book in the course of meaningful learning, the learners knowledge structure, or cognitive structure, becomes more complex and better organized According to Ausubel (1963. 1968, 1978) this occurs as a result of four I ••* ,,... n new moon / J V ^ '" ^; 1 - ...,,,. :''dT T.-., 'j ram ! !.n-.:nriJ0^ envKM w [>::r';cr^ year ^ ^ ,•'.f ono I .-I" ^ BRSCtS ir,.'M •.: :•• .-;ri ^ i r r - ' sun A moon A- .ir!>uncJ 0 - •!".;ri J N *j- •: "• FIGURE 1 tu r i*.", t9vm9% srDuru r-1 ,, ,^. •- r ,powttonf .'(Vi,1y, ^w^ !•i mow» <>i:;',ii'n"; _r^J • :••-. A • Ti ;r/ •-•••i :[:.:;.:iM HJR ^ x o c r oMnw moon Phases o( the :••: r. t.l ••• roWHOn A v^y _^ routMon V :•.•^- na V n SKMnOQ CS -'• :•: -••-•":~ A": r—rr Two concept maps for the phases of the moon showing (A) the misconceptions and missing concepts that are characteristic of students learning primarily by rote and (B) the highly organized knowledge structure of an "expert" teacher, which is characteristic of meaningful learners ^X f k^ B 6 |oseph D Novak, |oel I Minlics. and )ames H Wandcrsee processes, siii'sumplioti. progressive differenUation. integrative nvoiidlwlioii. and si<;'iror(/iiiiiii' learning First and most common is the process of sui'simiplioii, wherein new concepts and/or propositions are subsumed under and related to more inclusive concepts and propositions. For example, a young child perceives a variety of dogs and acquires the concept of do^. Subsequently the child learns that some dogs are called terriers, some are collies, and so on. These latter concepts are subsumed under the child's concept of dog and give greater clarity, complexity, and meaning to his/her dog concept. For the domain of knowledge dogs, the child has achieved what Ausubel calls progressive differentiation. His/her dog concept may now include the ideas that terriers have short hair and collies have long hair. A young child may see a cow or horse at a distance and call these doggies also, but the child soon learns that these animals have features that are designated by different concept labels. Thus the child's cognitive structure undergoes further progressive differentiation and also integnnive reconciiialions: that is. things that were first confused as dogs are now recognized as similar but also as different in significant ways—and designated by different concept labels. This sorting oul and refining of meanings that at first appear confusing or contradictory is achieved through integrative reconciliation, which in turn leads Io further progressive differentiation of cognitive slructure. Cognitive structure development usually proceeds in an "up and down" manner. First, a learner may acquire a concept of average generality and inclusiveness He/she then proceeds from this Io distinguish concepls with greater and greater detail or specificity and Io gain some concepts of greater generality and inclusiveness Thus, in our example, dog or doggies may be the initial concept developed, followed by concepls of terrier or collie, and perhaps concepts of canine or mammal In due course, a more complex, well-integrated knowledge structure emerges. The challenge we face in evaluation is Io assess the degree to which learners are developing lheir conceptual framework by which they can achieve both greater precision and specificity of conceptual understanding, as well as mastery of more powerful, more general, more inclusive relevant concepts. Recognizing that distant things appcar\o be smaller (cows look like dogs] is also part of cognitive development, v/hereby concepts of scale and context are being developed and refined. The importance of the context in which events and objects are embedded is one aspect of constructing va!id meanings that all learners come to recognize with lesser or greater sophistication Some researchers have also found this to be important in what they describe as "situated cognition" (Brown. Collins, & Duquid. 1989) One threat Io assessment validity is thal information learned in one context may not be transferred and utilized in a different context. Test items that require use of knowledge only in the same context jn which it was learned do not assess higher levels of meaningful learning. When learners achieve a high degree of differentiation and integration of knowledge in a 7 1 Leaming.Teaching.andAssessmem particular subject matter domain, they are capable of transferring or applying that knowledge in a wide variety of new contexts We return to this issue in lalerchapters. The fourth process of meaningful learning described by Ausubel is superordinale learning. Early in a child's cognitive development, the most general, most inclusive concepts lhe child acquires are relatively limited in the scope of events and/or objects they reier to. Mommies, daddies, and doggies serve as some of these fundamental concepls that subsume other more specific concepts However, as cognitive development proceeds, the child acquires more general, more inclusive superordinate concepts. For the preschool youngster, these may include concepts such as people, mammals, energy, and time In later years superordinate concepts such as religion, the Dark Ages, evolution, and entropy may be acquired. Meaningful learning of superordinate concepts confers new meaning Io relevant subordinate concepts and propositions and may also facilitate integrative reconciliation of concepts. Thus the acquisition of powerful superordinate concepts should be a primary goal of effective science teaching (Novak. 1977: Mintzes. Wandersee. & Novak, 1998). Unfortunately, for much science teaching, students and teachers are preoccupied with the acquisition (usually by rote learning) of numerous facts, problem-solving algorithms, and information classification schemes with little underlying conceptual coherence. The result is thal students fail to acquire well-organized conceptual frameworks includins; powerful superordinate concepts One of the challenges we address in this book is how to design assessment strategies that encourage high levels of meaningful learning, including the development of well-integrated superordinate concepts. We focus on this commitment in each of the following chapters, albeit within a variety of perspectives. T H E TEACHER Given what we have said about learning and the learner, it is evident thal teachers have a very challenging role to play In the educative process. First, they must seek to understand the major superordinate and subordinate concepts of their field and Io integrate these into a complex, integrated, hierarchical structure. This is no small task. So many preservice science courses in colleges and universities are little more than a deluge of information or problem-solving algorithms to be memorized and reproduced on tests Both the pedagogy and the assessment practices in these courses often do little to foster development of the kind of knowledge frameworks thal are needed for effective science teaching. So prospective science teachers must seek on their own initiative to build this kind of understanding oi their field 8 loscph D. Novak, |oel |. Mintzes. and )ames H. Wandersco Second, the context in which teachers learn most of lheir science is divorced from the real world To create an appropriate context for their own teaching, teachers must seek other experiences, such as field courses and laboratory research opporlunilies. and they must work to integrate the "book learning" wilh the knowledge, skills, and attitudes acquired through these experiences. Third, teachers must learn ways to plan lheir own curriculum, they musl be able to sequence topics in such a way lhat new knowledge Is more easily buill on previous learning, and lhey must master a set of strategies that aim at helping learners restructure their scientific understandings. In the past 25 years we have come to recognize lhat helping learners change the way they lhink about natural objects and events is far more difficult than we used Io believe and that often this process extends well beyond the lime constraints of the typical school year. Finding appropriate contexts for meaningful learning within the constraints of school structures is a major challenge that we have not even begun to seriously address. Finally, teachers must plan and implement assessment strategies that support meaningful learning and help to achieve the kind of conceptual understandings, feelings, and actions that empower students to be more effective in whatever future work they pursue We have offered many ideas on how to achieve these goals in Teaclnng Science for Uiirfmlaiiiiim?. and we shall not repeat them here. Nevertheless, we shall attempt to be consistent with the suggestions in that book as we focus on new ideas for assessment in this book KNOWLEDGE A N D KNOWLEDGE CREATION There is the age-old question. Whal Is knowledge? Humans have pondered the question for millennia. There have been significant advances in the past 3 decades in our understanding of the nature of knowledge, and also In our understanding of the process of knowledge creation. Perhaps the most important idea is that knowledge is not "discovered" as are diamonds or archeological artifacts, but rather it is "created" by human beings. Knowledge is a fiumiiii coiisliwlimi lhat is a natural outgrowth oj lhe capacitij oj iiiiitimi beings |or fiitliiltTWso/mrtiniMijA(/fOTniififl(Novak. 1977; 1993; I998;Minlzes.Wandersee. & Novak. 1998). |ust as the building blocks for learning and acquisition of knowledge by an individual are concepts and propositions, lhese are also lhe building blocks of knowledge. Understanding the process of meaningful learning is fundamental Io understanding the process of knowledge creation With the explosive growth of information on the Internet, anyone who "surfs the net" soon recognizes the overwhelming amount of information available. But is information knowledge? From our perspective, knowledge I Learning, Teaching, and Assessment 0 has organization and potential for application in problem solving. The difficulty with all of the information on the Internet is that much of il is not available in a form that allows easy organization and application. There are search engines and "crawlers" that seek oul and organize some of the information available, but these are usually for special-purpose searches. Unless we design special-purpose search engines or crawlers for our own needs, information taken from the Internet can be overwhelming chaos. There is a bright future on the horizon, with new special-purpose search tools appearing, but al this writing, gaining information lhat can be easily structured to our specific needs can be a daunting challenge. Another characteristic of knowledge stored in the human brain is that every piece of knowledge is associated to some degree with feelings or affect. Thus the successful application of knowledge depends not only on how much knowledge we have and how we organize it, but also on lhe feelings we associate with our knowledge. This is discussed in Keller's biography (1983), A FfriiMi) for the Organism. The life and Worij of Barbara McCli;iiod' In a more prosaic manner. Herrigel (1973) presented some of the same ideas in his ZfM in (AiArI ofAnheru Biographies ofgeniuses almost always emphasize not the amount of these information that people possess but rather their dogged perseverance and their feelings regarding the best questions or approaches Io pursue. This is as true in the arls and humanities as It Is In the sciences, or perhaps even more so. In so much of school assessment, emotion plays lillle or no role; strong feelings may even prove a liability. While we tend to see more emphasis on expressing emotions in the arts and humanities, too often an individual's freedom Io express emotions is suppressed in these disciplines as well. Emotions or feelings motivate. We seek to do those things lhat make us feel good, and we avoid those things that make us feel bad. If one of our goals is Io make students more creative, more motivated to do something positive with their lives, then we face the challenge of using evaluation strategies that reward high levels of meaningful learning. Poor testing practices can reward the wrong kind of learning. One way to increase the distribution or "spread" of scores on a test is Io require recall of relatively minute details or bits of insignificant information. Such practices lend to discourage learners from looking for the "big ideas" in a domain of study and seeking to organize knowledge hierarchically, with the "big ideas" playing a dominant role. The development ofstrong positive feelings toward elegant" organizations of knowledge and the wide span of relevant applications of powerful ideas is also discouraged. These are some of the issues we shall address in this book. The process of knowledge creation involves the interplay of at least 12 elements We have found it helpful Io represent the process using the vee heurislicdeveloped by Gowin (1981; Novak & Gowin, 1984), Figure 2 shows how these epistemological elements can be defined and related Elements Ioscph D Novak, loel 1. Mintíe*. and )amcs H Wsndersee THE KNOWLEDGE VEE METHODOLOGICAL (Doing) CONCEPTUALA'HEORETICAL (Thinkinf;) WORLDVIEWt FOCUS QUESTIONS Questions that scrvc to focus lhe inquir> about events and/or objects sludied The general bclicfand knowledge sysleni motivaüng and guiding the inquiry PHILOSOPHY/ EPISTEMOLOGY: The beliers alxiul the nature of knowledge and knowing guiding thc iiu)iiir>. VALUECLAIMS: Sutcnicnts based on knowledge claims that declare the worth or value of tbe inquiry. KNOWLEDGE CLAINK: Sutemenu (hat answer thc focus question(s) and ate reasonable interpretations of the records and transformed records (or data) obtained. THEORY: The general principles guiding lhe inquiry that explain why events or ohjecw exhibit what is observed. PRINClPLHS: Statements of relationships between concepts that explain ho>v events or objectj can bc expected Io appear or behave. TRANSKORMATIONS: Tab)cs. graphs, concept maps, s(a(istics. or oüicr forms of organization of records made. CONSTRUCTS: Ideas showing specific relationships between conccpU, 'Althcuji direct origin in events or objects RECORDS: The observations made and recorded from thc events/objects studied. CONCEPTS: Perceived regularity in events or objects (or records of events or object?! designated by a label EVENTS AND/OR OBJECTS: Description of thc cvcnl(s) and/or object(s) to bc studied in order to answer the focus question. FIGURE2 The knowledge vee for the 12 elements thal are involved in creating or understanding knowledge in any domain. The elements on the left side of the vee are used by the learner to select events and focus questions and Io perform the actions on the right side of the vee thal lead to learning and lhe creation of knowledge AlI elements interact wilh each other on lhe left side represent the conceptual/theoretical elements These are the knowledge structure and values lhat guide the inquiry On the right side of lhe vee are the methodological or procedural elements that are involved in the creation of new knowledge and value claims. Selecting the right" focus question and the "right" events and/or objects to observe depends on I Learning. Teaching, and Assessment Il the knowledge, feelings, and values the creator brings to the process It is evident from the elements shown in the vee lhal the process of knowledge creation is In some ways simple—only 12 elements are involved—and in other ways enormously complex. There are almost an infinite number of questions that may be asked and almost an infinite number of events or objects Io be observed in any domain of knowledge. How do students learn to ask lhe right questions, observe the appropriate objects and events, make the important records, perform the best transformations, and construct the most powerful knowledge and value claims? There are no simple answers to these questions. The best we can hope to do Is to help the learner develop the most powerful knowledge structures possible and help to impart a deep respect for and drive to create new knowledge. We shall attempt to show how improved assessment practices can help to achieve these goals. The use of the vee heuristic as an assessment tool is discussed in Chapter 4. THE SOCIAL MlLIEU Education takes place in a social context. As societies change, new demands are placed on schools. After the USSR launched Sputnik in 1957, there was a public outcry for improving science and mathematics education in our schools. One response was to increase funding for science education at the National Science Foundation (NSF). The primary goal ofthese programs was to devise new textbooks and support for teacher education programs. Despite the expenditure of several billion dollars by federal agencies and school districts Io improve science and mathematics education, there is little evidence that we have made significant progress, as indicated by international comparisons of student achievement in the United States and other developed democracies (see Chapter 12). There are. of course, many reasons for this, but at least one important factor is that little was done to improve assessment practices in past "reform" movements. As long as the predominant mode of assessment stressed recall of facts and problem-solving algorithms, students continued to engage In rote learning practices. While there were attempts to produce laboratory study guides with more emphasis on enquiry approaches to learning, these were often taught in a way that reduced the labs to little more than "cookbook" verification exercises. Additionally, most schools did not adopt the new NSF-sponsored curricula, for a variety of social, political, and economic reasons. Currently the dominant factor influencing change in science and mathematics education comes from the recent effort to establish standards." The two most prominent efforts in this have been the workof the American Association forAdvancement ofScience (AAAS), BenchmarksforSdence Literacy—Project 2061 (1993). and the National Academy of Sciences (NAS), National Research Council. National Science Education Standards (19961 Both of these pub- 12 |oseph D Novak. Ioei I MinUes, and Iamcs H Wandersee licalions were developed with counsel from scientists, outstanding teachers, and science educators. The participants in lhe process of creating the standards were obviously well-recognized experts, but as is so often the case, there were other experts whose ideas were not solicited or not included. For example, the views of those experts who do not feel that inquiry approaches are lhe best method of instruction for all science content were not included in the NAS committees. This, in fact, is a principal problem in the way science curricula are currently organized, taught, and evaluated Although the AAAS Benchmarks give more recognition to the variety of views on teaching approaches and grade level appropriateness ol certain science topics, lhey are nevertheless very conservative in what they suggest can be taught in the lower grades. This, in ourview, is a serious limitation. Some concepts, such as the particulate nature of matter, are so fundamental to understanding most of science that postponing instruction on these concepts postpones the chance for developing understanding of most basic science phenomena. As Novak and Musonda (19911 showed in their 12-year longitudinal study of children's science concept development, instruction in the particulate nature of maller in grades 1 and 2 can influence children's science learning throughout their schooling. Another area that is largely ignored by the Stíiiuitirds and Benchmarks is the important role thal metacognitive instruction can play when it is an integral part of the curriculum for grades K-12. To ignore this is to ignore research that suggests enormous gains in learning when metacognitive tools and ideas are properly taught and utilized (Mintzes et al., 1998; Novak, 1998). The net result of most current curriculum efforts is that there is still an emphasis on what is essentially a "laundry list" of topics Io be taught Although most curriculum groups expound the idea thal "more Is less." the lists of topics Io be taught in the Siamiiir<fs, Benchmarks, and other curriculum proposals remain overwhelming. AlI are a far cry from the guidelines proposed in 1964 by the National Science Teachers Association Curriculum Committee suggesting seven major conceptual schemes and five characteristics of the process of science (Novak. 1964, 1966) as the basis for the design of K-12 science curricula. With growing public and political pressure on accountability in schools, we are witnessing loday a renewed emphasis on testing in science and other areas of the curriculum. While we support the need for accountability, much of the testing done in school, state, and national programs falls far short of evaluation thal assesses understanding of science concepts and methodologies. The net result may be inadvertently Io encourage classroom activities thai support rote ratherthan meaningful learning. We recognize the central role of traditional assessment practices as one of the most significant deterents Io meaningful learning, and this recognition has led us to develop and evaluate several powerful new alternative assessment strategies that are described in this book. 13 I Learning, Teaching, and Assessment A FOREWORD In lhe chapters that follow, we expand on the nature of science learning and constuctivisl views thal underlie lhe alternative assessment practices we recommend. Each of the well-known contributors to this volume has had experience in applying the ideas presented, and each draws on lhis experience Io suggest ways of improving teaching and assessment in science With this brief introduction Io four of the five commonplaces of education, we invite you now to consider the fifth: new approaches to assessing science i(mlm(amiitu) References American Association (or the Advancement o( Science (l993| Benchmarks for stknct literacy Proj/íl 2061 New York Ox(otd University Ptess Ausubel. D 11963) TAf psyMOiiii of (iiiwiiMj/ul vcibat (t-iinmiij New York; Grune f» Suatton Ausubel.D (l968)Ediitit(MMfllps!(cMcyi/ A c C í W i l í r í iw NewYork Holt,Rinehart&Winsto n Ausubel. D , Novak.).. & Hanesian. H 11978) Educationaifiychlo^u AcogmtUe i-uv|2nd ed I New York HoIt. Rinehan & Winston Bloom.B (I956| laxonomy^eAucdlmatohjectnei ncdaWficationofeducatiiinataoali. Hanáíwk\ Cogmtlvcdomain New York David McKay Brown, I , Collins. A . & Duquid. P ||989| Situated cugiiition and t)ie culture of learning EiiuLalriiPin(KiVarc/ifr. IH 'J2^t2 Gardner. H 11983) Franiis o/ miitd Tdf (licary o/ ntultfplf 'adtOigmus New York: Basic Books Gowin.D B l l 9 8 l l EJu<ating lthaca.NY CornellUnivcfsityPress Ouilford.l ll959)Threef.icesofintelk'C t AmcrlcanPiijcSioiagist. )4..I69^J79 lkTtigel. K (1973). Zen m lin>ari ofmhmt (R FC HuII, tmns). New York: Vintage Books. Kcller. E K (1983) A |eelinit ¡or the nrjiiiiiSHi Tfii- (i/t' md works of BdrfMra McClinIt>ci New York Freeman Marton. F. f» Salio. R (1976) 'On Qualitative Difleiences in Learning 1 Outcomeand Process' Brilis/i |iii(iiiiilo/Eiii(f<tlii)(wl Psi|choh(,m. 464-471 Mintzes I , Wandersee, I , & Novak,) (Eds) (1998) Teachingsciencctor tiiidcrslandiiit) Ahuman canstrwciivisl vitw San Diego Academic Press. N,itional Research Council 119961 Niilmm( science fJuciitwn siandarJs Washington. DC National Academy Press. Novak, | (1964) lmportniiceofconcoptual schemesloi scienceteaching TíifSíuwíTMCÍuv. J l , IO Novak. 1 11'>66) The role of concepts In science leaching In H I Klausmeiet & C. W. Harris (eds 1. Aiirtli(5is o|Conccpt UMrniii</ (pp 239-254| New York: Academic Press Nnva);.| (l'>77) Atheotyp|educatwn Ithaca.NYComellUniversityPtess. r.1. iv,ik 1 11793). Human construclivrsrn A unification of psychological and epistemological phenomena in meaning making iinermUioníil \ounml of P<m>fMl COTtslriiil Psychobgy. 6. 167-193 Novak, I (|99H( Learning. (ftMlriiJ and u»ng kimkdge Concert mnp>™ as facilitatKe tools in schooti and corporations Mahwah NI Lawrence Erlbnum Novak. I . & Gowin. D B ( l 9 R l i l.t'iintiiw lww to karn Cambridge. UK: Cambtidge University Press Novak. I . & Musonda. D | I 9 9 I ) A iwelve year longitudinal study Ol science concept learning American EducatWnal Kesearcli lflw;nrt(, 28, 117-153 Schwab. I (|973) Tlie pf.ictical 3 Translation into curriculum. ScdiwI RmW, 81. 501-522
© Copyright 2026 Paperzz