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A Proposal to Refine Concept Mapping
     For Effective Science Learning

    Meena Kharatmal & Nagarjuna G.
   {meena, nagarjun}@hbcse.tifr.res.in

Homi Bhabha Centre for Science Education
         TIFR, Mumbai, India

           September 5, 2006

     CMC2006, San Jose, Costa Rica
outline

    concept maps in science education
●



    point  out  problems  in  concept  maps  for 
●


    learning
    point  out  problems  in  concept  maps  for 
●


    evaluation of concept maps 
    propose some refinements in concept maps
●



    propose  an  assessment  model  based  on 
●


    refinements in the concept map
concept maps 

    two  dimensional  graphical  representation  of 
●


    one's  knowledge  of  a  domain  (Novak  &  Gowin, 
    1984) 
    based on Ausubel's theory of classroom learning 
●


    (Ausubel, et.al., 1978)
    constructed  using  concepts,  linking  words, 
●


    branching, hierarchy, cross­links, examples
                      progressive        differentiation, 
    incorporate 
●


    subsumption,  integrative  reconciliation  (Mintzes, 
    et. al. 1998)
mainly used for knowledge elicitation
●



    used in research studies for meaningful learning
●



        review  of  ~150  studies  on  concept  mapping: 
    –
        concept  maps  helps  students  gain  meaningful 
        learning,  enhance  the  integration  and  retention  of 
        knowledge (Mintzes et.al. 1997)
        comparing  successive  concept  maps:  conceptual 
    –
        change  in  a  group  of  biology  students  as  they 
        gained  mastery  of  the  domain  (Carey  1986; 
        Wallace & Mintzes 1990) ­­­ use of more number of 
        critical  concepts  and  propositions,  more  intricate 
        hierarchical  structure,  branching  patterns,  and 
        occurrence of cross­linkages
assumptions
    to understand is to establish relations
●


    to educate is to help organize concepts
●


    learning involves restructuring i.e. conceptual 
●


    change
    misunderstanding is due to incorrect 
●


    organization of concepts

    science cannot be ambiguous, inconsistent, 
➔


    illogical
    scientific knowledge (representation) must be 
➔


    explicit
Comparing the knowledge profile 
                   of a novice and an expert
                Profile of Novice                    Profile of Expert

Knowledge      loose form, uneconomical,             cohesive, integrated, parsimony,
Structure      ambiguous relations                   unambiguous relations    
Knowledge      periphery                             core concepts                              
Organization
 
Approach       superficial                           principled, accurate, deep
Theories       concrete, fragmentary,                abstract, global, consistent,
                inconsistent, particular, diffuse   universal, precise
Reasoning      implicit and intuitive                explicit and articulate

                                                    Brewer & Samarapungawan, (1991)
Concept map on “life in the ocean”




                     Martin, Mintzes, Clavijo (IJSE, 2000)
Refined concept map on “life in the ocean” 
                                                                             Ocean
   Consists of
                                                                                                      linking words
   Includes
                                                      Living Beings                             Non­living Beings
                                                         (Biotic)
   Habit                                                                                           (Abiotic)


   Habitat
                                            Animals               Plants
   Produces

                                                                                                                         Geological
                                                                                                        Chemical
                                                                                     Physical
                                                          Seagrass
Plankton Pleuston Nekton                                                    Algae
                                            Vertebrates
                            Invertebrates


                        Cnidaria
                                                                      Chlorophyta
                             Arthropoda Fish       Mammal                                       Current
 Phytoplankton                                                                          Wave
                                                                         Phaeophyta
                         Porifera                                                            Wind
      Zooplankton
                                                                             Rhodophyta
                          Mollusca                                                                                  Organic Crustal plate
                                                                                                   Inorganic
                                                                                                                               boundaries
                                Agnatha
                                     Osteichthyes Carnivora Pinnipeda
Holoplankton                     Chonodrichthyes Cetacea
                                                           Sirenia
         Meroplankton                                                                  Ca                           Cl
                                                                                                                         Ligands
                                                                                                              K
                                                                                            Na
                                                                                                     Co3
                                                               Odonteceti                                           Constructive
                              Shark                Mysteceti
                                            Rays
                                                                                                                         Conservative
                                                                                                                              Destructive
Traditional Concept Map                   Refined Concept Map
     (using several linking words)            (using minimum i.e. 5 relation types)

    consists of / consists mainly of                  consists of
●



    can be classified as                              includes
●



    of the ocean are                                  live in (habitat)
●



    aspects are                                       live as (habit)
●



    including                                         produces 
●



    like
●



    which are
●



    creates
●

                                                 unambiguous, precise,
    includes 4 orders                            parsimoniously used relation types
●



    can be either / are either
●

                                                 wide variety of relation types 
    has 2 groups / have 3 groups / has 3         (but not many)
●



     classes / includes 4 orders / include 
                                                 different dimensions
     phyla / have 3 types
Refined concept map on “life in the ocean” 
                                                                             Ocean
   Consists of                                                                                             Hierarchy
   Includes
                                                      Living Beings                             Non­living Beings
                                                         (Biotic)
   Habit                                                                                           (Abiotic)


   Habitat
                                            Animals               Plants
   Produces

                                                                                                                         Geological
                                                                                                        Chemical
                                                                                     Physical
                                                          Seagrass
Plankton Pleuston Nekton                                                    Algae
                                            Vertebrates
                            Invertebrates


                        Cnidaria
                                                                      Chlorophyta
                             Arthropoda Fish       Mammal                                       Current
 Phytoplankton                                                                          Wave
                                                                         Phaeophyta
                         Porifera                                                            Wind
      Zooplankton
                                                                             Rhodophyta
                          Mollusca                                                                                  Organic Crustal plate
                                                                                                   Inorganic
                                                                                                                               boundaries
                                Agnatha
                                      Osteichthyes Carnivora Pinnipeda
Holoplankton                     Chonodrichthyes Cetacea
                                                            Sirenia
         Meroplankton                                                                  Ca                           Cl
                                                                                                                         Ligands
                                                                                                              K
                                                                                            Na
                                                                                                     Co3
                                                               Odonteceti                                           Constructive
                              Shark                Mysteceti
                                            Rays
                                                                                                                         Conservative
                                                                                                                              Destructive
Hierarchy
        ... the number of valid hierarchies in the most branched 
           segment of the map to be counted (Novak & Gowin, 1984, 
           p. 107)
    Hierarchies are scored based on the levels
●



    Graphical representation of the levels does not 
●



   follow from the logical definition of hierarchy 
One has to validate the hierarchy: 
    logical criteria ­­­ must use the same relation type 
●


    (Mayr, Cruse, Lyons, etc.)
    hierarchy is the logical criteria of knowledge 
●


    organization
Example




Novak, & Gowin (1984): Learning how to 
learn, Cambridge University Press. (p. 16)
Example
Example
Refined

 Living things


   Includes



Plants   Animals

 e.g.         e.g.

          My dog
An oak
Attributes




             Mintzes, et.al. IJSE (2002), p. 653
Attributes
Size
  Attributes                           Shark

                                                                               Size   small
                                                                    Teeth
                                                        Part of
                                                                                      medium
                                                                                      large
                                     types/includes
                        Live in                        Used for                Size
                                                                    Fins


              Reef

                                                              Food chain
Bottom of ocean    Salt water                                               Eat

                                                                      Research

                      Tiger shark     Great white      Sand shark

                  Blue shark      Whale shark   Hammerhead shark


                                                      Attribute Types       Attribute Values
                                                          Size                    Small
                                                                                  Medium
                                                                                  Large
Cross­links




              Mintzes, et.al. IJSE (2002), p. 653
Critique of concept maps

    ambiguity  in  linking  words,  lack  of  rigor  in 
●


    concept mapping (Costa et. al. 2004)

    non­rigourous  in  methodology    (Kremer  1995; 
●


    Sowa 1984, 2006)

    lack of knowledge representation (KR) methods 
●


    (Canas & Carvalho 2004)

    ...
●
Refinements
    using  a  minimal  set  of  linking  words  (relation 
●


    types) to represent large number of concepts
    focus  on:  nature  of  linking  words  (relation 
●


    types)
    focus  on:  logical  criteria  while  assigning 
●


    hierarchy
    distinction    between         monadic       relation 
●


    (attribution) and diadic relation (proposition)
    scientific knowledge must be logical, consistent
●


    transformation from implicit to explicit
●
Observations
We found that:

    linking  words  are  chosen  from  a  set  of  NL  and 
●


    hence results in ambiguity
    CYC ­­­ organizing common sense knowledge
●


    GO,  MBO  ­­­  organizing  biological  database  using 
●


    is­a relation
    Science  Education  ­­­  67  relations  used  to  link 
●


    about 2,300 concepts (Fisher, 1990)
    Biology  Education  ­­­  6  relation  types  used  to 
●


    link  about  75  concepts  to  create  a  refined 
    concept  map  of  a  biology  chapter  (Kharatmal, 
    2006)
Proposed assessment model of using 
refined concept mapping techqnique
to sum up

    expert's  depict    knowledge      structure              using 
●


    unambiguous, consistent, parsimonious nature
    expertise  can  be  achieved  when  the  characteristics 
●


    mentioned above are implemented
    if during the course of learning a novice (student) is to 
●


    be  transformed  into  an  expert  then  it  is  essential  that 
    the novices are trained to organize their knowledge like 
    an expert does
References
    Ausubel,  D.,  Novak,  J.,  and  Hanesian,  H.  (1978).    Educational  Psychology:  A  Cognitive  View.  New  York:  Holt,            Rinehart  and 
●


    Winston.

    Arnaudin,  M.  A.,  Mintzes,  J.  J.,  Dunn,  C.  S.,  &  Shafer,  T.  H.  (1984).    Concept  mapping  in  college  science  teaching.    Journal  of 
●


    College Science Teaching, 117—121.

    Canas,  A.  J.  and  Carvalho,  M.  (2004).    Concept  maps  and  AI:  An  unlikely  marriage?      In    Proceedings  of  SBIE  2004:  Simp sio 
●


    Brasileiro  de  Inform tica      na  Educa o,  Manaus,  Brasil.  Simp sio  Brasileiro  de  Inform tica  na  Educa o,    Manaus,  Brasil.       
    http://www.ihmc.us/users/acanas/Publications/ConceptMapsAI/Canas­CmapsAI­Sbie2004.pdf.

    Carey, S. (1986).  Conceptual change and science education.   American Psychologist, 41(10), 1123­­1130.
●




    Costa, J. V., Rocha, F. E., & Favero, E. L. (2004).  Linking phrases in concept maps: A study on the nature of   inclusivity.  In A. J. 
●


    Canas,  J.  D.  Novak,  &  F.  M.  Gonzalez  (Eds.),    Concept  Maps:      Theory,  Methodology,  Technology.  Universidad  Publica  de 
    Navarra, Pampalona,   Spain.

    Fisher, K. (1990).  Semantic networking: The new kid on the block.   Journal of Research in Science Teaching,                     27(10), 1001­­
●


    1018.

    IHMC CmapTools (2004). The Website of CmapTools. http://cmap.ihmc.us
●




    Kharatmal, M. (2006).  Concept map on cell structure and function. At IHMC Public Cmaps  Meena (India)  Cell  Structure and 
●


    Function                   Cell      Structure        and          Function.                                                 
    http://skat.ihmc.us/servlet/SBReadResourceServlet?rid=1139090479160_113084903_8482&partName=htmltext

    Kremer,  R.  (1995).  The  design  of  a  concept  mapping  environment  for  knowledge  acquisition    and  knowledge  representation.   
●


    Proceedings of the 9th International Knowledge Acquisition Workshop.

    Kuhn, T. (1962) The Structure of Scientific Revolutions. USA: University of Chicago Press.
●




    Markham,  K.  M., Mintzes,  J.  J.  &  Jones,  M.  G.  (1994).    The  concept  map  as  a research  and  evaluation  tool: Further  evidence   of 
●


    validity.   Journal of Research in Science Teaching, 31(1), 91—101.
Martin  B.  L.,  Mintzes,  J.  J.,  &  Clavijo,  I.  E.  (2000).  Restructuring  knowledge  in  biology:  Cognitive  processes  and    metacognitive 
    reflections. International Journal of Science Education, 22(3), 303­323.

Mintzes, J. J. (In Press).  Knowledge restructuring in biology: Testing a punctuated model of conceptual change.   International Journal of 
    Science and Mathematics Education.

Mintzes, J. J., Wandersee, J., & Novak, J., (Eds.). (1998).  Teaching Science for Understanding ­­­ A Human                Consctructivist  View.  
    USA: Academic Press.

Mintzes, J. J., Wandersee, J. H., & Novak, J. D. (1997).  Meaningful Learning in Science: The Human Constructivist    Perspective. In 
    Gary D. Phye (Ed.), Handbook of Academic Learning: Construction of Knowledge (pp. 405­         47).  USA: Academic Press.

Nersessian, N. J. (1998). Conceptual change. In W. Bechtel, & G. Graham (Eds.), A Companion to Cognitive                   Science. Blackwell, 
    Malden, MA. 155­166.

Nagarjuna, G. (working paper). From Folklore to Science. Paper presented at the Eighth International History,               Philosophy, Sociology & 
    Science Teaching Conference, Leeds, UK, July 15­18, 2005.

Nagarjuna, G. (1994). The Role of Inversion in the Genesis, Development and the Structure of Scientific  Knowledge. Ph.D. Thesis, 
    Department of Humanities and Social Sciences, Indian Institute of Technology,  Kanpur, India. http://cogprints.org/4340/

Novak, J. D., & Gowin, D. B. (1984). Learning How to Learn. New York: Cambridge University Press.

Sowa, J. (2006). Concept mapping. Talk presented at the AERA Conference, San Francisco.  http://www.jfsowa.com/talks/cmapping.pdf

Sowa, J. (1984).  Conceptual Structures: Information Processing in Mind and  Machine.  USA: Addison­Wesley                 Publishing Company.

Thagard, P. (1992). Conceptual Revolutions. USA: Princeton University Press.

Thompson, T. L., & Mintzes, J. J. (2002). Cognitive structure and the affective domain: On knowledge and feeling in               biology. 
    International Journal of Science Education, 24(6), 645­600.

Vosniadou,  S.  &  Ioannides,  C.  (1998).  From  conceptual  development  to  science  education:  A  psychological  point  of                   view. 
    International Journal of Science Education, 20(10), 1213­1230.

Wallace, J. D., & Mintzes, J. J. (1990).  The concept map as a research tool: Exploring conceptual change in biology.             Journal of 
    Research in Science Teaching, 27(10), 1033—1052.
Thankyou
  meena@hbcse.tifr.res.in


www.hbcse.tifr.res.in/~meena


    www.gnowledge.org/

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A Proposal to Refine Concept Maps for Effective Science Learning

  • 1.
  • 2. A Proposal to Refine Concept Mapping For Effective Science Learning Meena Kharatmal & Nagarjuna G. {meena, nagarjun}@hbcse.tifr.res.in Homi Bhabha Centre for Science Education TIFR, Mumbai, India September 5, 2006 CMC2006, San Jose, Costa Rica
  • 3. outline concept maps in science education ● point  out  problems  in  concept  maps  for  ● learning point  out  problems  in  concept  maps  for  ● evaluation of concept maps  propose some refinements in concept maps ● propose  an  assessment  model  based  on  ● refinements in the concept map
  • 4. concept maps  two  dimensional  graphical  representation  of  ● one's  knowledge  of  a  domain  (Novak  &  Gowin,  1984)  based on Ausubel's theory of classroom learning  ● (Ausubel, et.al., 1978) constructed  using  concepts,  linking  words,  ● branching, hierarchy, cross­links, examples progressive  differentiation,  incorporate  ● subsumption,  integrative  reconciliation  (Mintzes,  et. al. 1998)
  • 5. mainly used for knowledge elicitation ● used in research studies for meaningful learning ● review  of  ~150  studies  on  concept  mapping:  – concept  maps  helps  students  gain  meaningful  learning,  enhance  the  integration  and  retention  of  knowledge (Mintzes et.al. 1997) comparing  successive  concept  maps:  conceptual  – change  in  a  group  of  biology  students  as  they  gained  mastery  of  the  domain  (Carey  1986;  Wallace & Mintzes 1990) ­­­ use of more number of  critical  concepts  and  propositions,  more  intricate  hierarchical  structure,  branching  patterns,  and  occurrence of cross­linkages
  • 6. assumptions to understand is to establish relations ● to educate is to help organize concepts ● learning involves restructuring i.e. conceptual  ● change misunderstanding is due to incorrect  ● organization of concepts science cannot be ambiguous, inconsistent,  ➔ illogical scientific knowledge (representation) must be  ➔ explicit
  • 7. Comparing the knowledge profile  of a novice and an expert Profile of Novice  Profile of Expert Knowledge loose form, uneconomical, cohesive, integrated, parsimony, Structure ambiguous relations unambiguous relations     Knowledge periphery      core concepts                               Organization   Approach superficial principled, accurate, deep Theories concrete, fragmentary, abstract, global, consistent,      inconsistent, particular, diffuse universal, precise Reasoning implicit and intuitive explicit and articulate Brewer & Samarapungawan, (1991)
  • 8. Concept map on “life in the ocean” Martin, Mintzes, Clavijo (IJSE, 2000)
  • 9. Refined concept map on “life in the ocean”  Ocean Consists of linking words Includes Living Beings Non­living Beings (Biotic) Habit (Abiotic) Habitat Animals Plants Produces Geological Chemical Physical Seagrass Plankton Pleuston Nekton Algae Vertebrates Invertebrates Cnidaria Chlorophyta Arthropoda Fish Mammal Current Phytoplankton Wave Phaeophyta Porifera Wind Zooplankton Rhodophyta Mollusca Organic Crustal plate Inorganic boundaries Agnatha Osteichthyes Carnivora Pinnipeda Holoplankton Chonodrichthyes Cetacea Sirenia Meroplankton Ca Cl Ligands K Na Co3 Odonteceti Constructive Shark Mysteceti Rays Conservative Destructive
  • 10. Traditional Concept Map  Refined Concept Map (using several linking words) (using minimum i.e. 5 relation types) consists of / consists mainly of consists of ● can be classified as includes ● of the ocean are live in (habitat) ● aspects are live as (habit) ● including produces  ● like ● which are ● creates ● unambiguous, precise, includes 4 orders parsimoniously used relation types ● can be either / are either ● wide variety of relation types  has 2 groups / have 3 groups / has 3  (but not many) ●      classes / includes 4 orders / include  different dimensions      phyla / have 3 types
  • 11. Refined concept map on “life in the ocean”  Ocean Consists of Hierarchy Includes Living Beings Non­living Beings (Biotic) Habit (Abiotic) Habitat Animals Plants Produces Geological Chemical Physical Seagrass Plankton Pleuston Nekton Algae Vertebrates Invertebrates Cnidaria Chlorophyta Arthropoda Fish Mammal Current Phytoplankton Wave Phaeophyta Porifera Wind Zooplankton Rhodophyta Mollusca Organic Crustal plate Inorganic boundaries Agnatha Osteichthyes Carnivora Pinnipeda Holoplankton Chonodrichthyes Cetacea Sirenia Meroplankton Ca Cl Ligands K Na Co3 Odonteceti Constructive Shark Mysteceti Rays Conservative Destructive
  • 12. Hierarchy ... the number of valid hierarchies in the most branched  segment of the map to be counted (Novak & Gowin, 1984,  p. 107) Hierarchies are scored based on the levels ● Graphical representation of the levels does not  ●    follow from the logical definition of hierarchy  One has to validate the hierarchy:  logical criteria ­­­ must use the same relation type  ● (Mayr, Cruse, Lyons, etc.) hierarchy is the logical criteria of knowledge  ● organization
  • 15. Example Refined Living things Includes Plants Animals e.g. e.g. My dog An oak
  • 16. Attributes Mintzes, et.al. IJSE (2002), p. 653
  • 18. Size Attributes Shark Size small Teeth Part of medium large types/includes Live in Used for Size Fins Reef Food chain Bottom of ocean Salt water Eat Research Tiger shark Great white Sand shark Blue shark Whale shark Hammerhead shark Attribute Types Attribute Values Size Small Medium Large
  • 19. Cross­links Mintzes, et.al. IJSE (2002), p. 653
  • 20. Critique of concept maps ambiguity  in  linking  words,  lack  of  rigor  in  ● concept mapping (Costa et. al. 2004) non­rigourous  in  methodology    (Kremer  1995;  ● Sowa 1984, 2006) lack of knowledge representation (KR) methods  ● (Canas & Carvalho 2004) ... ●
  • 21. Refinements using  a  minimal  set  of  linking  words  (relation  ● types) to represent large number of concepts focus  on:  nature  of  linking  words  (relation  ● types) focus  on:  logical  criteria  while  assigning  ● hierarchy distinction  between  monadic  relation  ● (attribution) and diadic relation (proposition) scientific knowledge must be logical, consistent ● transformation from implicit to explicit ●
  • 22. Observations We found that: linking  words  are  chosen  from  a  set  of  NL  and  ● hence results in ambiguity CYC ­­­ organizing common sense knowledge ● GO,  MBO  ­­­  organizing  biological  database  using  ● is­a relation Science  Education  ­­­  67  relations  used  to  link  ● about 2,300 concepts (Fisher, 1990) Biology  Education  ­­­  6  relation  types  used  to  ● link  about  75  concepts  to  create  a  refined  concept  map  of  a  biology  chapter  (Kharatmal,  2006)
  • 24.
  • 25.
  • 26. to sum up expert's  depict  knowledge  structure  using  ● unambiguous, consistent, parsimonious nature expertise  can  be  achieved  when  the  characteristics  ● mentioned above are implemented if during the course of learning a novice (student) is to  ● be  transformed  into  an  expert  then  it  is  essential  that  the novices are trained to organize their knowledge like  an expert does
  • 27. References Ausubel,  D.,  Novak,  J.,  and  Hanesian,  H.  (1978).    Educational  Psychology:  A  Cognitive  View.  New  York:  Holt,  Rinehart  and  ● Winston. Arnaudin,  M.  A.,  Mintzes,  J.  J.,  Dunn,  C.  S.,  &  Shafer,  T.  H.  (1984).    Concept  mapping  in  college  science  teaching.    Journal  of  ● College Science Teaching, 117—121. Canas,  A.  J.  and  Carvalho,  M.  (2004).    Concept  maps  and  AI:  An  unlikely  marriage?      In    Proceedings  of  SBIE  2004:  Simp sio  ● Brasileiro  de  Inform tica      na  Educa o,  Manaus,  Brasil.  Simp sio  Brasileiro  de  Inform tica  na  Educa o,    Manaus,  Brasil.        http://www.ihmc.us/users/acanas/Publications/ConceptMapsAI/Canas­CmapsAI­Sbie2004.pdf. Carey, S. (1986).  Conceptual change and science education.   American Psychologist, 41(10), 1123­­1130. ● Costa, J. V., Rocha, F. E., & Favero, E. L. (2004).  Linking phrases in concept maps: A study on the nature of   inclusivity.  In A. J.  ● Canas,  J.  D.  Novak,  &  F.  M.  Gonzalez  (Eds.),    Concept  Maps:      Theory,  Methodology,  Technology.  Universidad  Publica  de  Navarra, Pampalona,   Spain. Fisher, K. (1990).  Semantic networking: The new kid on the block.   Journal of Research in Science Teaching,  27(10), 1001­­ ● 1018. IHMC CmapTools (2004). The Website of CmapTools. http://cmap.ihmc.us ● Kharatmal, M. (2006).  Concept map on cell structure and function. At IHMC Public Cmaps  Meena (India)  Cell  Structure and  ● Function    Cell  Structure  and  Function.              http://skat.ihmc.us/servlet/SBReadResourceServlet?rid=1139090479160_113084903_8482&partName=htmltext Kremer,  R.  (1995).  The  design  of  a  concept  mapping  environment  for  knowledge  acquisition    and  knowledge  representation.    ● Proceedings of the 9th International Knowledge Acquisition Workshop. Kuhn, T. (1962) The Structure of Scientific Revolutions. USA: University of Chicago Press. ● Markham,  K.  M., Mintzes,  J.  J.  &  Jones,  M.  G.  (1994).    The  concept  map  as  a research  and  evaluation  tool: Further  evidence   of  ● validity.   Journal of Research in Science Teaching, 31(1), 91—101.
  • 28. Martin  B.  L.,  Mintzes,  J.  J.,  &  Clavijo,  I.  E.  (2000).  Restructuring  knowledge  in  biology:  Cognitive  processes  and  metacognitive  reflections. International Journal of Science Education, 22(3), 303­323. Mintzes, J. J. (In Press).  Knowledge restructuring in biology: Testing a punctuated model of conceptual change.   International Journal of  Science and Mathematics Education. Mintzes, J. J., Wandersee, J., & Novak, J., (Eds.). (1998).  Teaching Science for Understanding ­­­ A Human  Consctructivist  View.   USA: Academic Press. Mintzes, J. J., Wandersee, J. H., & Novak, J. D. (1997).  Meaningful Learning in Science: The Human Constructivist  Perspective. In  Gary D. Phye (Ed.), Handbook of Academic Learning: Construction of Knowledge (pp. 405­ 47).  USA: Academic Press. Nersessian, N. J. (1998). Conceptual change. In W. Bechtel, & G. Graham (Eds.), A Companion to Cognitive  Science. Blackwell,  Malden, MA. 155­166. Nagarjuna, G. (working paper). From Folklore to Science. Paper presented at the Eighth International History,  Philosophy, Sociology &  Science Teaching Conference, Leeds, UK, July 15­18, 2005. Nagarjuna, G. (1994). The Role of Inversion in the Genesis, Development and the Structure of Scientific  Knowledge. Ph.D. Thesis,  Department of Humanities and Social Sciences, Indian Institute of Technology,  Kanpur, India. http://cogprints.org/4340/ Novak, J. D., & Gowin, D. B. (1984). Learning How to Learn. New York: Cambridge University Press. Sowa, J. (2006). Concept mapping. Talk presented at the AERA Conference, San Francisco.  http://www.jfsowa.com/talks/cmapping.pdf Sowa, J. (1984).  Conceptual Structures: Information Processing in Mind and  Machine.  USA: Addison­Wesley  Publishing Company. Thagard, P. (1992). Conceptual Revolutions. USA: Princeton University Press. Thompson, T. L., & Mintzes, J. J. (2002). Cognitive structure and the affective domain: On knowledge and feeling in  biology.  International Journal of Science Education, 24(6), 645­600. Vosniadou,  S.  &  Ioannides,  C.  (1998).  From  conceptual  development  to  science  education:  A  psychological  point  of  view.  International Journal of Science Education, 20(10), 1213­1230. Wallace, J. D., & Mintzes, J. J. (1990).  The concept map as a research tool: Exploring conceptual change in biology.   Journal of  Research in Science Teaching, 27(10), 1033—1052.