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Volumn 26, Issue 1, 2010, Pages 1-11

The influence of learner-generated domain representations on learning combinatorics and probability theory

Author keywords

External representations; Inquiry learning; Mathematics; Representational tools; Simulations

Indexed keywords

EXTERNAL REPRESENTATIONS; INQUIRY LEARNING; MATHEMATICS; REPRESENTATIONAL TOOLS; SIMULATIONS;

EID: 70350712143     PISSN: 07475632     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chb.2009.07.008     Document Type: Article
Times cited : (18)

References (54)
  • 1
    • 33646549299 scopus 로고    scopus 로고
    • DeFT: A conceptual framework for considering learning with multiple representations
    • Ainsworth S. DeFT: A conceptual framework for considering learning with multiple representations. Learning and Instruction 16 (2006) 183-198
    • (2006) Learning and Instruction , vol.16 , pp. 183-198
    • Ainsworth, S.1
  • 2
    • 0038647823 scopus 로고    scopus 로고
    • The effects of self-explaining when learning with text or diagrams
    • Ainsworth S., and Loizou A.T. The effects of self-explaining when learning with text or diagrams. Cognitive Science 27 (2003) 669-681
    • (2003) Cognitive Science , vol.27 , pp. 669-681
    • Ainsworth, S.1    Loizou, A.T.2
  • 3
    • 0344719482 scopus 로고    scopus 로고
    • Aiding transfer in statistics: Examining the use of conceptually oriented equations and elaboration's during subgoal learning
    • Atkinson R.K., Catrambone R., and Merrill M.M. Aiding transfer in statistics: Examining the use of conceptually oriented equations and elaboration's during subgoal learning. Journal of Educational Psychology 95 (2003) 762-773
    • (2003) Journal of Educational Psychology , vol.95 , pp. 762-773
    • Atkinson, R.K.1    Catrambone, R.2    Merrill, M.M.3
  • 4
    • 70350709226 scopus 로고    scopus 로고
    • What is the nature of high school students' conceptions and misconceptions about probability?
    • Jones G.A. (Ed), Springer, New York, NY
    • Batanero C., and Sanchez E. What is the nature of high school students' conceptions and misconceptions about probability?. In: Jones G.A. (Ed). Exploring probability in school: Challenges for teaching and learning (2005), Springer, New York, NY 241-266
    • (2005) Exploring probability in school: Challenges for teaching and learning , pp. 241-266
    • Batanero, C.1    Sanchez, E.2
  • 5
    • 0010904108 scopus 로고    scopus 로고
    • Unlocking conceptual learning in mathematics and science with effective representational systems
    • Cheng P.C.H. Unlocking conceptual learning in mathematics and science with effective representational systems. Computers & Education 33 (1999) 109-130
    • (1999) Computers & Education , vol.33 , pp. 109-130
    • Cheng, P.C.H.1
  • 6
    • 58149410841 scopus 로고
    • Categorization and representation of physics problems by experts and novices
    • Chi M.T.H., Feltovich P.J., and Glaser R. Categorization and representation of physics problems by experts and novices. Cognitive Science 5 (1981) 121-152
    • (1981) Cognitive Science , vol.5 , pp. 121-152
    • Chi, M.T.H.1    Feltovich, P.J.2    Glaser, R.3
  • 7
    • 0000441211 scopus 로고    scopus 로고
    • Representation construction, externalised cognition and individual differences
    • Cox R. Representation construction, externalised cognition and individual differences. Learning and Instruction 9 (1999) 343-363
    • (1999) Learning and Instruction , vol.9 , pp. 343-363
    • Cox, R.1
  • 8
    • 34548549414 scopus 로고    scopus 로고
    • The guided discovery principle in multimedia learning
    • Mayer R.E. (Ed), Cambridge University Press, Cambridge, UK
    • de Jong T. The guided discovery principle in multimedia learning. In: Mayer R.E. (Ed). The Cambridge handbook of multimedia learning (2005), Cambridge University Press, Cambridge, UK 215-229
    • (2005) The Cambridge handbook of multimedia learning , pp. 215-229
    • de Jong, T.1
  • 9
    • 33646266513 scopus 로고    scopus 로고
    • Technological advances in inquiry learning
    • de Jong T. Technological advances in inquiry learning. Science 312 (2006) 532-533
    • (2006) Science , vol.312 , pp. 532-533
    • de Jong, T.1
  • 10
    • 0001067535 scopus 로고
    • Cognitive structures of good and poor novice problem solvers in physics
    • de Jong T., and Ferguson-Hessler M.G.M. Cognitive structures of good and poor novice problem solvers in physics. Journal of Educational Psychology 78 (1986) 279-288
    • (1986) Journal of Educational Psychology , vol.78 , pp. 279-288
    • de Jong, T.1    Ferguson-Hessler, M.G.M.2
  • 12
    • 0032389279 scopus 로고    scopus 로고
    • Scientific discovery learning with computer simulations of conceptual domains
    • de Jong T., and van Joolingen W.R. Scientific discovery learning with computer simulations of conceptual domains. Review of Educational Research 68 (1998) 179-202
    • (1998) Review of Educational Research , vol.68 , pp. 179-202
    • de Jong, T.1    van Joolingen, W.R.2
  • 17
    • 0001965495 scopus 로고
    • Difficulties in learning basic concepts in probability and statistics: Implications for research
    • Garfield J., and Ahlgren A. Difficulties in learning basic concepts in probability and statistics: Implications for research. Journal for Research in Mathematics Education 19 (1988) 44-63
    • (1988) Journal for Research in Mathematics Education , vol.19 , pp. 44-63
    • Garfield, J.1    Ahlgren, A.2
  • 18
    • 16244415817 scopus 로고    scopus 로고
    • The relation between prior knowledge and students' collaborative discovery learning processes
    • Gijlers H., and de Jong T. The relation between prior knowledge and students' collaborative discovery learning processes. Journal of Research in Science Teaching 42 (2005) 264-282
    • (2005) Journal of Research in Science Teaching , vol.42 , pp. 264-282
    • Gijlers, H.1    de Jong, T.2
  • 19
    • 65649096554 scopus 로고    scopus 로고
    • Interaction between tool and talk: How instruction and tools support consensus building in collaborative inquiry-learning environments
    • Gijlers H., Saab N., van Joolingen W.R., de Jong T., and van Hout-Wolters B.H.A.M. Interaction between tool and talk: How instruction and tools support consensus building in collaborative inquiry-learning environments. Journal of Computer Assisted Learning 25 (2009) 252-267
    • (2009) Journal of Computer Assisted Learning , vol.25 , pp. 252-267
    • Gijlers, H.1    Saab, N.2    van Joolingen, W.R.3    de Jong, T.4    van Hout-Wolters, B.H.A.M.5
  • 20
    • 70350729915 scopus 로고
    • Mathematics learning and knowing: A cognitive process
    • Greenes C. Mathematics learning and knowing: A cognitive process. Journal of Education 177 (1995) 85-106
    • (1995) Journal of Education , vol.177 , pp. 85-106
    • Greenes, C.1
  • 21
    • 0000327148 scopus 로고    scopus 로고
    • Practicing representation: Learning with and about representational forms
    • Greeno J.G., and Hall R.P. Practicing representation: Learning with and about representational forms. Phi Delta Kappan 78 (1997) 361-367
    • (1997) Phi Delta Kappan , vol.78 , pp. 361-367
    • Greeno, J.G.1    Hall, R.P.2
  • 22
    • 3843127922 scopus 로고    scopus 로고
    • Understanding probabilistic thinking: The legacy of Efraim Fischbein
    • Greer B. Understanding probabilistic thinking: The legacy of Efraim Fischbein. Educational Studies in Mathematics 45 (2001) 15-33
    • (2001) Educational Studies in Mathematics , vol.45 , pp. 15-33
    • Greer, B.1
  • 24
    • 70350735127 scopus 로고
    • A brief survey of research on probabilistic notions
    • Bell A., Low B., and Kilpatrick J. (Eds), Shell Centre for Mathematical Education, Nottingham, UK
    • Kapadia R. A brief survey of research on probabilistic notions. In: Bell A., Low B., and Kilpatrick J. (Eds). Theory, research and practice in mathematical education (1985), Shell Centre for Mathematical Education, Nottingham, UK 261-265
    • (1985) Theory, research and practice in mathematical education , pp. 261-265
    • Kapadia, R.1
  • 26
    • 0242592090 scopus 로고
    • Why a diagram is (sometimes) worth ten thousand words
    • Larkin J.H., and Simon H.A. Why a diagram is (sometimes) worth ten thousand words. Cognitive Science 11 (1987) 65-99
    • (1987) Cognitive Science , vol.11 , pp. 65-99
    • Larkin, J.H.1    Simon, H.A.2
  • 27
    • 0003097777 scopus 로고
    • Assessing authentic mathematical performance
    • Lesh R., and Lamon S.J. (Eds), AAAS Press, Washington, DC
    • Lesh R., and Lamon S.J. Assessing authentic mathematical performance. In: Lesh R., and Lamon S.J. (Eds). Assessment of authentic performance on school mathematics (1992), AAAS Press, Washington, DC 17-62
    • (1992) Assessment of authentic performance on school mathematics , pp. 17-62
    • Lesh, R.1    Lamon, S.J.2
  • 30
    • 0037400293 scopus 로고    scopus 로고
    • The promise of multimedia learning: Using the same instructional design methods across different media
    • Mayer R.E. The promise of multimedia learning: Using the same instructional design methods across different media. Learning and Instruction 13 (2003) 125-139
    • (2003) Learning and Instruction , vol.13 , pp. 125-139
    • Mayer, R.E.1
  • 31
    • 0742269292 scopus 로고    scopus 로고
    • Should there be a three-strikes rule against pure discovery learning? The case for guided methods of instruction
    • Mayer R.E. Should there be a three-strikes rule against pure discovery learning? The case for guided methods of instruction. American Psychologist 59 (2004) 14-19
    • (2004) American Psychologist , vol.59 , pp. 14-19
    • Mayer, R.E.1
  • 32
    • 0000551052 scopus 로고
    • A theory of algebra-word-problem comprehension and its implications for the design of learning environments
    • Nathan M.J., Kintsch W., and Young E. A theory of algebra-word-problem comprehension and its implications for the design of learning environments. Cognition and Instruction 9 (1992) 329-389
    • (1992) Cognition and Instruction , vol.9 , pp. 329-389
    • Nathan, M.J.1    Kintsch, W.2    Young, E.3
  • 33
    • 33749583891 scopus 로고    scopus 로고
    • Learning with concept and knowledge maps: A meta-analysis
    • Nesbit J.C., and Adesope O.O. Learning with concept and knowledge maps: A meta-analysis. Review of Educational Research 76 (2006) 413-448
    • (2006) Review of Educational Research , vol.76 , pp. 413-448
    • Nesbit, J.C.1    Adesope, O.O.2
  • 34
    • 0010858777 scopus 로고    scopus 로고
    • Assessing conceptual understanding in mathematics: Representations, problem solutions, justifications, and explanations
    • Niemi D. Assessing conceptual understanding in mathematics: Representations, problem solutions, justifications, and explanations. Journal of Educational Research 89 (1996) 351-363
    • (1996) Journal of Educational Research , vol.89 , pp. 351-363
    • Niemi, D.1
  • 35
    • 0001503558 scopus 로고
    • The function of conceptual understanding in the learning of arithmetic procedures
    • Ohlsson S., and Rees E. The function of conceptual understanding in the learning of arithmetic procedures. Cognition and Instruction 8 (1991) 103-179
    • (1991) Cognition and Instruction , vol.8 , pp. 103-179
    • Ohlsson, S.1    Rees, E.2
  • 38
    • 4043178469 scopus 로고    scopus 로고
    • Scaffolding complex learning: The mechanisms of structuring and problematizing student work
    • Reiser B.J. Scaffolding complex learning: The mechanisms of structuring and problematizing student work. Journal of the Learning Sciences 13 (2004) 273-304
    • (2004) Journal of the Learning Sciences , vol.13 , pp. 273-304
    • Reiser, B.J.1
  • 39
    • 0035602865 scopus 로고    scopus 로고
    • Developing conceptual understanding and procedural skill in mathematics: An iterative process
    • Rittle-Johnson B., Siegler R.S., and Alibali M.W. Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology 93 (2001) 346-362
    • (2001) Journal of Educational Psychology , vol.93 , pp. 346-362
    • Rittle-Johnson, B.1    Siegler, R.S.2    Alibali, M.W.3
  • 41
  • 42
    • 33847236357 scopus 로고
    • The role of the student in learning from instruction
    • Shuell T.J. The role of the student in learning from instruction. Contemporary Educational Psychology 13 (1988) 276-295
    • (1988) Contemporary Educational Psychology , vol.13 , pp. 276-295
    • Shuell, T.J.1
  • 43
    • 0002750297 scopus 로고
    • A cognitive theory of graphical and linguistic reasoning: Logic and implementation
    • Stenning K., and Oberlander J. A cognitive theory of graphical and linguistic reasoning: Logic and implementation. Cognitive Science 19 (1995) 97-140
    • (1995) Cognitive Science , vol.19 , pp. 97-140
    • Stenning, K.1    Oberlander, J.2
  • 44
    • 0141662599 scopus 로고
    • A theory of knowledge acquisition in the development of verbal concepts
    • Sternberg R.J. A theory of knowledge acquisition in the development of verbal concepts. Developmental Review 4 (1984) 113-138
    • (1984) Developmental Review , vol.4 , pp. 113-138
    • Sternberg, R.J.1
  • 46
    • 0037995721 scopus 로고    scopus 로고
    • An experimental study of the effects of representational guidance on collaborative learning processes
    • Suthers D.D., and Hundhausen C.D. An experimental study of the effects of representational guidance on collaborative learning processes. Journal of the Learning Sciences 12 (2003) 183-218
    • (2003) Journal of the Learning Sciences , vol.12 , pp. 183-218
    • Suthers, D.D.1    Hundhausen, C.D.2
  • 47
    • 0347289427 scopus 로고
    • Cognitive technology: Some procedures for facilitating learning and problem solving in mathematics and science
    • Sweller J. Cognitive technology: Some procedures for facilitating learning and problem solving in mathematics and science. Journal of Educational Psychology 81 (1989) 457-466
    • (1989) Journal of Educational Psychology , vol.81 , pp. 457-466
    • Sweller, J.1
  • 49
    • 38049035820 scopus 로고    scopus 로고
    • How can teachers build notions of conditional probability and independence?
    • Jones G.A. (Ed), Springer, New York, NY
    • Tarr J.E., and Lannin J.K. How can teachers build notions of conditional probability and independence?. In: Jones G.A. (Ed). Exploring probability in school: Challenges for teaching and learning (2005), Springer, New York, NY 215-238
    • (2005) Exploring probability in school: Challenges for teaching and learning , pp. 215-238
    • Tarr, J.E.1    Lannin, J.K.2
  • 50
    • 0001164493 scopus 로고
    • Shift of bias for inductive concept learning
    • Michalski R., Carbonell J., and Mitchell T. (Eds), Morgan Kaufmann, Los Altos
    • Utgoff P. Shift of bias for inductive concept learning. In: Michalski R., Carbonell J., and Mitchell T. (Eds). Machine learning: An artitificial intelligence approach Vol. II (1986), Morgan Kaufmann, Los Altos 107-148
    • (1986) Machine learning: An artitificial intelligence approach , vol.II , pp. 107-148
    • Utgoff, P.1
  • 52
    • 0038929726 scopus 로고
    • Supporting hypothesis generation by learners exploring an interactive computer simulation
    • van Joolingen W.R., and de Jong T. Supporting hypothesis generation by learners exploring an interactive computer simulation. Instructional Science 20 (1991) 389-404
    • (1991) Instructional Science , vol.20 , pp. 389-404
    • van Joolingen, W.R.1    de Jong, T.2
  • 54
    • 0031116378 scopus 로고    scopus 로고
    • The nature of external representations in problem solving
    • Zhang J.J. The nature of external representations in problem solving. Cognitive Science 21 (1997) 179-217
    • (1997) Cognitive Science , vol.21 , pp. 179-217
    • Zhang, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.