메뉴 건너뛰기




Volumn 28, Issue 4, 2009, Pages 247-261

Conceptual variation and coordination in probability reasoning

Author keywords

Compound random encounters; Context; Contextualization; Coordination; Focal event; Probability reasoning; Variation

Indexed keywords


EID: 73749083991     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmathb.2009.10.003     Document Type: Article
Times cited : (15)

References (45)
  • 1
    • 0000966103 scopus 로고    scopus 로고
    • The functions of multiple representations
    • Ainsworth S. The functions of multiple representations. Computers and Education 33 (1999) 131-152
    • (1999) Computers and Education , vol.33 , pp. 131-152
    • Ainsworth, S.1
  • 2
    • 0035693612 scopus 로고    scopus 로고
    • Middle school students' understanding of the role sample size plays in experimental probability
    • Aspinwall L., and Tarr J. Middle school students' understanding of the role sample size plays in experimental probability. Journal of Mathematical Behavior 20 (2001) 229-245
    • (2001) Journal of Mathematical Behavior , vol.20 , pp. 229-245
    • Aspinwall, L.1    Tarr, J.2
  • 3
    • 0002431319 scopus 로고
    • Domain-specific knowledge and conceptual change
    • Hirschfeld L.A., and Gelman S.A. (Eds), University Press, Cambridge
    • Carey S., and Spelke E. Domain-specific knowledge and conceptual change. In: Hirschfeld L.A., and Gelman S.A. (Eds). Mapping the mind: Domain specificity in cognition and culture (1994), University Press, Cambridge 169-200
    • (1994) Mapping the mind: Domain specificity in cognition and culture , pp. 169-200
    • Carey, S.1    Spelke, E.2
  • 4
    • 73749086546 scopus 로고    scopus 로고
    • Context as construction
    • Björkqvist O. (Ed), Faculty of Education, Abo Akademi
    • Clarke D. Context as construction. In: Björkqvist O. (Ed). Mathematic teaching from a constructivist point of view (1998), Faculty of Education, Abo Akademi 129-147
    • (1998) Mathematic teaching from a constructivist point of view , pp. 129-147
    • Clarke, D.1
  • 5
    • 0345100619 scopus 로고
    • Contexts, goals, beliefs, and learning mathematics
    • Cobb P. Contexts, goals, beliefs, and learning mathematics. For the Learning of Mathematics 6 (1986) 2-9
    • (1986) For the Learning of Mathematics , vol.6 , pp. 2-9
    • Cobb, P.1
  • 6
    • 57649116586 scopus 로고    scopus 로고
    • Putting philosophy to work. Coping with multiple theoretical perspectives
    • Lester F.K. (Ed), Information Age Publishers, Greenwich, CT
    • Cobb P. Putting philosophy to work. Coping with multiple theoretical perspectives. In: Lester F.K. (Ed). Second handbook for research on mathematics teaching and learning (2007), Information Age Publishers, Greenwich, CT 1293-1312
    • (2007) Second handbook for research on mathematics teaching and learning , pp. 1293-1312
    • Cobb, P.1
  • 8
    • 73749086253 scopus 로고    scopus 로고
    • Combinatorics and the development of children's combinatorial reasoning
    • Jones G.A. (Ed), Springer, New York
    • English L. Combinatorics and the development of children's combinatorial reasoning. In: Jones G.A. (Ed). Exploring probability in school: Challenges for teaching and learning (2005), Springer, New York 121-141
    • (2005) Exploring probability in school: Challenges for teaching and learning , pp. 121-141
    • English, L.1
  • 10
  • 11
    • 21444456108 scopus 로고    scopus 로고
    • The evolution with age of probabilistic, intuitively based misconceptions
    • Fischbein E., and Schnarch D. The evolution with age of probabilistic, intuitively based misconceptions. Journal for Research in Mathematics Education 28 (1997) 96-105
    • (1997) Journal for Research in Mathematics Education , vol.28 , pp. 96-105
    • Fischbein, E.1    Schnarch, D.2
  • 13
    • 84946275700 scopus 로고
    • Alternative frameworks and the concept of task. Cognitive constraints in pupils' interpretations of teachers' assignments
    • Halldén O. Alternative frameworks and the concept of task. Cognitive constraints in pupils' interpretations of teachers' assignments. Scandinavian Journal of Educational Research 32 (1988) 123-140
    • (1988) Scandinavian Journal of Educational Research , vol.32 , pp. 123-140
    • Halldén, O.1
  • 14
    • 0037946290 scopus 로고    scopus 로고
    • Conceptual change and contextualization
    • Schnotz W., Carretero M., and Vosniadou S. (Eds), Elsevier, London
    • Halldén O. Conceptual change and contextualization. In: Schnotz W., Carretero M., and Vosniadou S. (Eds). New perspectives on conceptual change (1999), Elsevier, London 53-65
    • (1999) New perspectives on conceptual change , pp. 53-65
    • Halldén, O.1
  • 15
    • 0013341649 scopus 로고
    • Children's conception of probability: A psychological and pedagogical review
    • Hawkins A., and Kapadia R. Children's conception of probability: A psychological and pedagogical review. Educational Studies in Mathematics 15 (1984) 349-377
    • (1984) Educational Studies in Mathematics , vol.15 , pp. 349-377
    • Hawkins, A.1    Kapadia, R.2
  • 17
    • 11244259879 scopus 로고    scopus 로고
    • A model-based perspective on the development of children's understanding of chance and uncertainty
    • Lajoie S.P. (Ed), Erlbaum, Mahwah, NJ
    • Horvath J.K., and Lehrer R. A model-based perspective on the development of children's understanding of chance and uncertainty. In: Lajoie S.P. (Ed). Reflections in statistics: Learning, teaching, and assessment in Grade K-12 (1998), Erlbaum, Mahwah, NJ 121-148
    • (1998) Reflections in statistics: Learning, teaching, and assessment in Grade K-12 , pp. 121-148
    • Horvath, J.K.1    Lehrer, R.2
  • 21
    • 49649138413 scopus 로고
    • Subjective probability: A judgment of representativeness
    • Kahneman D., and Tversky A. Subjective probability: A judgment of representativeness. Cognitive Psychology 3 (1972) 430-454
    • (1972) Cognitive Psychology , vol.3 , pp. 430-454
    • Kahneman, D.1    Tversky, A.2
  • 23
    • 0001665593 scopus 로고
    • Cognitive models and problem spaces in "purely random" situations
    • Lecoutre M.P. Cognitive models and problem spaces in "purely random" situations. Educational Studies in Mathematics 23 (1992) 557-568
    • (1992) Educational Studies in Mathematics , vol.23 , pp. 557-568
    • Lecoutre, M.P.1
  • 24
    • 21344467768 scopus 로고    scopus 로고
    • Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm?
    • Lerman S. Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm?. Journal for Research in Mathematics Education 27 (1996) 133-150
    • (1996) Journal for Research in Mathematics Education , vol.27 , pp. 133-150
    • Lerman, S.1
  • 25
    • 30244495671 scopus 로고    scopus 로고
    • Emergent ideas of chance and probability in primary-grade children
    • Lajoie S.P. (Ed), Erlbaum, Mahwah, NJ
    • Metz K.E. Emergent ideas of chance and probability in primary-grade children. In: Lajoie S.P. (Ed). Reflections on statistics: Learning, teaching, and assessment in grades K-12 (1998), Erlbaum, Mahwah, NJ 149-174
    • (1998) Reflections on statistics: Learning, teaching, and assessment in grades K-12 , pp. 149-174
    • Metz, K.E.1
  • 26
    • 34548497167 scopus 로고    scopus 로고
    • Different ways in which students handle chance encounters in the explorative setting of a dice game
    • Nilsson P. Different ways in which students handle chance encounters in the explorative setting of a dice game. Educational Studies in Mathematics 66 (2007) 293-315
    • (2007) Educational Studies in Mathematics , vol.66 , pp. 293-315
    • Nilsson, P.1
  • 30
    • 0036405099 scopus 로고    scopus 로고
    • The micro-evolution of mathematical knowledge: The case of randomness
    • Pratt D., and Noss R. The micro-evolution of mathematical knowledge: The case of randomness. Journal of the Learning Sciences 11 4 (2002) 453-488
    • (2002) Journal of the Learning Sciences , vol.11 , Issue.4 , pp. 453-488
    • Pratt, D.1    Noss, R.2
  • 32
    • 8644280953 scopus 로고    scopus 로고
    • Missed opportunities in research on the teaching and learning of data and chance
    • Aotearoa
    • Shaughnessy M. Missed opportunities in research on the teaching and learning of data and chance. Paper presented at the 20th annual MERGA conference. Aotearoa (1997)
    • (1997) Paper presented at the 20th annual MERGA conference
    • Shaughnessy, M.1
  • 33
    • 8644237951 scopus 로고    scopus 로고
    • Research on students' understanding of probability
    • Kilpatrick J., Martin W.G., and Schifter D. (Eds), The National Council of Teachers of Mathematics, Reston, VA
    • Shaughnessy M. Research on students' understanding of probability. In: Kilpatrick J., Martin W.G., and Schifter D. (Eds). A research companion to principles and standards for school mathematics (2003), The National Council of Teachers of Mathematics, Reston, VA 216-226
    • (2003) A research companion to principles and standards for school mathematics , pp. 216-226
    • Shaughnessy, M.1
  • 35
    • 59749092730 scopus 로고    scopus 로고
    • Contextualising the notion of 'belief enactment'
    • Skott J. Contextualising the notion of 'belief enactment'. Journal of Mathematics Teacher Education 12 1 (2009) 27-46
    • (2009) Journal of Mathematics Teacher Education , vol.12 , Issue.1 , pp. 27-46
    • Skott, J.1
  • 36
    • 0007883296 scopus 로고    scopus 로고
    • Two dice, two sample spaces
    • Pereira-Mendoza L., Seu Kea L., Wee Kee T., and Wong W.K. (Eds). Vol. 1, Voorburg, The Netherlands, International Statistical Institute
    • Speiser R., and Walter C. Two dice, two sample spaces. In: Pereira-Mendoza L., Seu Kea L., Wee Kee T., and Wong W.K. (Eds). Proceedings of the fifth international conference on the teaching of statistics. Vol. 1, Voorburg, The Netherlands, International Statistical Institute (1998) 1041-1047
    • (1998) Proceedings of the fifth international conference on the teaching of statistics , pp. 1041-1047
    • Speiser, R.1    Walter, C.2
  • 37
    • 0039420710 scopus 로고
    • The theoretical nature of probability in the classroom
    • Kapadia R., and Borovcnik M. (Eds), Kluwer, The Netherlands
    • Steinbring H. The theoretical nature of probability in the classroom. In: Kapadia R., and Borovcnik M. (Eds). Chance encounters: Probability in education (1991), Kluwer, The Netherlands 135-167
    • (1991) Chance encounters: Probability in education , pp. 135-167
    • Steinbring, H.1
  • 38
    • 0036399398 scopus 로고    scopus 로고
    • Developing notions of inference using probability simulation tools
    • Stohl H., and Tarr J. Developing notions of inference using probability simulation tools. Journal of Mathematical Behavior 21 (2002) 319-337
    • (2002) Journal of Mathematical Behavior , vol.21 , pp. 319-337
    • Stohl, H.1    Tarr, J.2
  • 40
    • 73749088683 scopus 로고    scopus 로고
    • Samtal, samarbete och samsyn: En studie av koordination av perspektiv i klassrumskommunikation
    • Dysthe O. (Ed), Studentlitteratur, Sweden
    • Säljö R., Riesbeck E., and Wyndhamn J. Samtal, samarbete och samsyn: En studie av koordination av perspektiv i klassrumskommunikation. In: Dysthe O. (Ed). Dialog, samspel och lärande (2003), Studentlitteratur, Sweden 219-240
    • (2003) Dialog, samspel och lärande , pp. 219-240
    • Säljö, R.1    Riesbeck, E.2    Wyndhamn, J.3
  • 41
    • 84982014810 scopus 로고
    • Problem-solving, academic performance and situated cognition: A study of joint cognitive activity in the formal setting
    • Säljö R., and Wyndhamn J. Problem-solving, academic performance and situated cognition: A study of joint cognitive activity in the formal setting. British Journal of Educational Research 60 (1990) 245-254
    • (1990) British Journal of Educational Research , vol.60 , pp. 245-254
    • Säljö, R.1    Wyndhamn, J.2
  • 42
    • 24944476919 scopus 로고    scopus 로고
    • Children's intuition of probabilistic concepts emerging from fair play
    • Pereira-Mendoza L., Seu Kea L., Wee Kee T., and Wong W.-K. (Eds). Vol. 1, International Statistical Institute Permanent Office, Voorburg, The Netherlands
    • Vidakovic D., Berenson S., and Brandsma J. Children's intuition of probabilistic concepts emerging from fair play. In: Pereira-Mendoza L., Seu Kea L., Wee Kee T., and Wong W.-K. (Eds). Proceedings of the fifth international conference on teaching statistics. Vol. 1, International Statistical Institute Permanent Office, Voorburg, The Netherlands (1998) 67-73
    • (1998) Proceedings of the fifth international conference on teaching statistics , pp. 67-73
    • Vidakovic, D.1    Berenson, S.2    Brandsma, J.3
  • 44
    • 73749086941 scopus 로고
    • Elevers svårigheter att formulera matematiska problem ("Pupils' difficulties in contextualising mathematical tasks," in Swedish with an English abstract)
    • Wistedt I. Elevers svårigheter att formulera matematiska problem ("Pupils' difficulties in contextualising mathematical tasks," in Swedish with an English abstract). Nordic Studies in Mathematics Education (NOMAD) 1 1 (1993) 40-54
    • (1993) Nordic Studies in Mathematics Education (NOMAD) , vol.1 , Issue.1 , pp. 40-54
    • Wistedt, I.1
  • 45
    • 33947724302 scopus 로고    scopus 로고
    • Understanding mathematical induction in a cooperative setting: Merits and limitations of classroom communication among peers
    • Chronaki A., and Christiansen M. (Eds), Information Age Publishing, Greenwich, CT
    • Wistedt I., and Brattström G. Understanding mathematical induction in a cooperative setting: Merits and limitations of classroom communication among peers. In: Chronaki A., and Christiansen M. (Eds). Challenging perspectives on mathematics classroom communication (2005), Information Age Publishing, Greenwich, CT 173-203
    • (2005) Challenging perspectives on mathematics classroom communication , pp. 173-203
    • Wistedt, I.1    Brattström, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.