메뉴 건너뛰기




Volumn 15, Issue 3, 2013, Pages 266-285

Conceptual learning in a principled design problem solving environment

Author keywords

early geometry learning; problem solving; task design

Indexed keywords


EID: 84889666058     PISSN: 14794802     EISSN: 17540178     Source Type: Journal    
DOI: 10.1080/14794802.2013.836379     Document Type: Article
Times cited : (13)

References (35)
  • 3
    • 67349103438 scopus 로고    scopus 로고
    • Semiosis as a multimodal process
    • Arzarello, F. (2006). Semiosis as a multimodal process. Relime, Numero Especial, 267-299.
    • (2006) Relime, Numero Especial , pp. 267-299
    • Arzarello, F.1
  • 4
    • 79956308062 scopus 로고    scopus 로고
    • Semiotic and theoretic control in argumentation and proof activities
    • Arzarello, F., & Sabena, C. (2011). Semiotic and theoretic control in argumentation and proof activities. Educational Studies in Mathematics, 77(2-3) 189-206. doi:10.1007/s10649-010-9280-3
    • (2011) Educational Studies in Mathematics , vol.77 , Issue.2-3 , pp. 189-206
    • Arzarello, F.1    Sabena, C.2
  • 6
    • 17444383058 scopus 로고    scopus 로고
    • The cyclic nature of problem solving: An emergent multi-dimensional problem-solving framework
    • Carlson, M. P., & Bloom, I. (2005). The cyclic nature of problem solving: An emergent multi-dimensional problem-solving framework. Educational Studies in Mathematics, 58(1), 45-75. doi:10.1007/s10649-005-0808-x
    • (2005) Educational Studies in Mathematics , vol.58 , Issue.1 , pp. 45-75
    • Carlson, M.P.1    Bloom, I.2
  • 7
    • 0039042996 scopus 로고
    • In: Charles R. I., Silver E. A., editors In, Reston, VA,: National Council of Teachers of Mathematics
    • Carpenter, T. P. (1989). Teaching as problem solving. In R. I. Charles & E. A. Silver (Eds.), The teaching and assessing of mathematical problem solving. (pp. 187-202). Reston, VA: National Council of Teachers of Mathematics.
    • (1989) The teaching and assessing of mathematical problem solving , pp. 187-202
    • Carpenter, T.P.1
  • 8
    • 0001899838 scopus 로고
    • The development of the concept of a standard unit of measure in young students
    • Carpenter, T. P., & Lewis, R. (1976). The development of the concept of a standard unit of measure in young students. Journal for Research in Mathematics Education, 7(1), 53-58. doi:10.2307/748765
    • (1976) Journal for Research in Mathematics Education , vol.7 , Issue.1 , pp. 53-58
    • Carpenter, T.P.1    Lewis, R.2
  • 10
    • 0001902880 scopus 로고
    • In: von Glaserfield E., editors In, Dordrecht, The Netherlands,: Kluwer Academic
    • Cobb, P., Wood, T., & Yackel, E. (1991). A constructivist approach to second grade mathematics. In E. von Glaserfield, (Ed.), Radical constructivism in mathematics education (pp. 157-176). Dordrecht, The Netherlands: Kluwer Academic.
    • (1991) Radical constructivism in mathematics education , pp. 157-176
    • Cobb, P.1    Wood, T.2    Yackel, E.3
  • 11
    • 84984487304 scopus 로고
    • Individual and collective conflicts of centrations in cognitive development
    • Doise, W., & Mugny, G. (1979). Individual and collective conflicts of centrations in cognitive development. European Journal of Social Psychology, 9(1), 105-108. doi:10.1002/ejsp.2420090110
    • (1979) European Journal of Social Psychology , vol.9 , Issue.1 , pp. 105-108
    • Doise, W.1    Mugny, G.2
  • 12
    • 84867469571 scopus 로고    scopus 로고
    • Les conditions cognitives de l'apprentissage de la géométrie: développement de la visualisation, différenciation des raisonnements et coordination de leur fonctionnement
    • [Annals of didactic and Cognitive Sciences]
    • Duval, R. (2006). Les conditions cognitives de l'apprentissage de la géométrie: développement de la visualisation, différenciation des raisonnements et coordination de leur fonctionnement [Cognitive conditions of learning geometry: development of the visualization, differentiation of reasoning and coordination of their functioning], Annales de Didactique et de Sciences Cognitives [Annals of didactic and Cognitive Sciences], 10, 5-53.
    • (2006) Annales de Didactique et de Sciences Cognitives , vol.10 , pp. 5-53
    • Duval, R.1
  • 13
    • 4544296595 scopus 로고    scopus 로고
    • The role of surprise and uncertainty in promoting the need to prove in computerized environment
    • Hadas, N., Hershkowitz, R., & Schwarz, B. B. (2001). The role of surprise and uncertainty in promoting the need to prove in computerized environment. Educational Studies in Mathematics, 44(1-2), 127-150.
    • (2001) Educational Studies in Mathematics , vol.44 , Issue.1-2 , pp. 127-150
    • Hadas, N.1    Hershkowitz, R.2    Schwarz, B.B.3
  • 14
    • 0039194780 scopus 로고
    • In: Nesher P., Kilpatrick J., editors In, Cambridge: Cambridge University Press
    • Hershkowitz, R. (1990). Psychological aspects of geometry learning - Research and practice. In P. Nesher & J. Kilpatrick (Eds.), Mathematics and cognition (pp. 70-95). Cambridge: Cambridge University Press.
    • (1990) Mathematics and cognition , pp. 70-95
    • Hershkowitz, R.1
  • 15
    • 0034239516 scopus 로고    scopus 로고
    • Hypothesis-testing in science: Group consensus and the acquisition of conceptual and procedural knowledge
    • Howe, C., Tolmie, A., Duchak-Tanner, V., & Rattray, C. (2000). Hypothesis-testing in science: Group consensus and the acquisition of conceptual and procedural knowledge. Learning and Instruction, 10(4), 361-391. doi:10.1016/S0959-4752(00)00004-9
    • (2000) Learning and Instruction , vol.10 , Issue.4 , pp. 361-391
    • Howe, C.1    Tolmie, A.2    Duchak-Tanner, V.3    Rattray, C.4
  • 16
    • 0001438045 scopus 로고    scopus 로고
    • Seeing the problem: An explanation from Polya
    • Leinhardt, G., & Schwarz, B. B. (1997). Seeing the problem: An explanation from Polya. Cognition and Instruction, 15(3), 395-434. doi:10.1207/s1532690xci1503_3
    • (1997) Cognition and Instruction , vol.15 , Issue.3 , pp. 395-434
    • Leinhardt, G.1    Schwarz, B.B.2
  • 18
    • 0042027462 scopus 로고    scopus 로고
    • On the cognitive conflict as an instructional strategy for conceptual change: A critical appraisal
    • Limón, M. (2001). On the cognitive conflict as an instructional strategy for conceptual change: A critical appraisal. Learning & Instruction, 11(4-5), 357-380. doi:10.1016/S0959-4752(00)00037-2
    • (2001) Learning & Instruction , vol.11 , Issue.4-5 , pp. 357-380
    • Limón, M.1
  • 19
    • 0003865799 scopus 로고    scopus 로고
    • National Council of Teacher of Mathematics (NCTM), Reston, VA,: NCTM
    • National Council of Teacher of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
    • (2000) Principles and standards for school mathematics
  • 22
    • 82555189806 scopus 로고    scopus 로고
    • From visual reasoning to logical necessity, through argumentative design
    • Prusak, N., Hershkowitz, R., & Schwarz, B. B. (2012). From visual reasoning to logical necessity, through argumentative design. Educational Studies in Mathematics, 79(1), 19-40. doi:10.1007/s10649-011-9335-0
    • (2012) Educational Studies in Mathematics , vol.79 , Issue.1 , pp. 19-40
    • Prusak, N.1    Hershkowitz, R.2    Schwarz, B.B.3
  • 23
    • 27944486500 scopus 로고    scopus 로고
    • The seen, the spoken and the written: A semiotic approach to the problem of objectification of mathematical knowledge
    • Radford, L. (2002). The seen, the spoken and the written: A semiotic approach to the problem of objectification of mathematical knowledge. For the Learning of Mathematics, 22(2), 14-23.
    • (2002) For the Learning of Mathematics , vol.22 , Issue.2 , pp. 14-23
    • Radford, L.1
  • 24
    • 67349188870 scopus 로고    scopus 로고
    • Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings
    • Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70(2), 111-126. doi:10.1007/s10649-008-9127-3
    • (2009) Educational Studies in Mathematics , vol.70 , Issue.2 , pp. 111-126
    • Radford, L.1
  • 25
    • 79960254205 scopus 로고    scopus 로고
    • In: Kelly A. E., Lesh R. A., Baek J. Y., editors In, New York, NY and London,: Routledge
    • Rasmussen, C., & Stephan, M. (2008). A methodology for documenting collective activity. In A. E. Kelly, R. A. Lesh, & J. Y. Baek (Eds.), Handbook of design research methods in education (pp. 195-215). New York, NY and London: Routledge.
    • (2008) Handbook of design research methods in education , pp. 195-215
    • Rasmussen, C.1    Stephan, M.2
  • 28
    • 0003110401 scopus 로고
    • In: Schoenfeld A., editors In, Hillsdale, NJ,: Lawrence Erlbaum Associates
    • Schoenfeld, A. H. (1994). Reflections on doing and teaching mathematics. In A. Schoenfeld (Ed.), Mathematical thinking and problem solving (pp. 53-69). Hillsdale, NJ: Lawrence Erlbaum Associates.
    • (1994) Mathematical thinking and problem solving , pp. 53-69
    • Schoenfeld, A.H.1
  • 29
    • 22644450809 scopus 로고    scopus 로고
    • Prototypes: Brakes or levers in learning the function concept? The role of computer tools
    • Schwarz, B. B., & Hershkowitz, R. (1999). Prototypes: Brakes or levers in learning the function concept? The role of computer tools. Journal for Research in Mathematics Education, 30(4), 362-389. doi:10.2307/749706
    • (1999) Journal for Research in Mathematics Education , vol.30 , Issue.4 , pp. 362-389
    • Schwarz, B.B.1    Hershkowitz, R.2
  • 32
    • 0000197784 scopus 로고
    • Cognitive processes and instruction procedures
    • Sweller, J. (1990). Cognitive processes and instruction procedures. Australian Journal of Education, 34(2), 125-130.
    • (1990) Australian Journal of Education , vol.34 , Issue.2 , pp. 125-130
    • Sweller, J.1
  • 33
    • 84922135907 scopus 로고    scopus 로고
    • Problem solving in mathematics: a tool for cognitive development
    • Proceeding of epiSTEME-3 International Conference to Review Research in Science, Technology and Mathematics Education
    • Tripathi, N. P. (2009). Problem solving in mathematics: a tool for cognitive development. Proceeding of epiSTEME-3 International Conference to Review Research in Science, Technology and Mathematics Education. Mumbai, India
    • (2009)
    • Tripathi, N.P.1
  • 34
    • 22444455405 scopus 로고    scopus 로고
    • Creating a context for argumentation in mathematics class
    • Wood, T. (1999). Creating a context for argumentation in mathematics class, Journal for Research in Mathematics Education, 30(2), 171-191. doi:10.2307/749609
    • (1999) Journal for Research in Mathematics Education , vol.30 , Issue.2 , pp. 171-191
    • Wood, T.1
  • 35
    • 21344474293 scopus 로고    scopus 로고
    • Socio-mathematical norms, argumentation, and autonomy in Mathematics
    • Yackel, E., & Cobb, P. (1996). Socio-mathematical norms, argumentation, and autonomy in Mathematics. Journal for Research in Mathematics Education, 27(4), 458-477.
    • (1996) Journal for Research in Mathematics Education , vol.27 , Issue.4 , pp. 458-477
    • Yackel, E.1    Cobb, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.