메뉴 건너뛰기




Volumn 7, Issue 3, 1997, Pages 211-233

Fraction calculation - A didactic approach to constructing mathematical networks

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031232277     PISSN: 09594752     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0959-4752(96)00026-6     Document Type: Article
Times cited : (11)

References (51)
  • 5
    • 0000351587 scopus 로고
    • The development of mental arithmetic: A chronometric approach
    • Ashcraft, M. H. (1982). The development of mental arithmetic: A chronometric approach. Developmental Review, 2, 213-236.
    • (1982) Developmental Review , vol.2 , pp. 213-236
    • Ashcraft, M.H.1
  • 8
    • 0001000996 scopus 로고
    • Role of schemata in memory for places
    • Brewer, W. F., & Treyens, J. C. (1981). Role of schemata in memory for places. Cognitive Psychology, 13, 207-230.
    • (1981) Cognitive Psychology , vol.13 , pp. 207-230
    • Brewer, W.F.1    Treyens, J.C.2
  • 9
    • 77956739679 scopus 로고
    • Representation and retrieval of arithmetic facts: A network-inference model and simulation
    • J. I. D. Campbell (Ed.), Amsterdam: North-Holland
    • Campbell, J, I. D., & Oliphant, M. (1992). Representation and retrieval of arithmetic facts: A network-inference model and simulation. In J. I. D. Campbell (Ed.), The nature and origins of mathematical skills (pp. 331-364). Amsterdam: North-Holland.
    • (1992) The Nature and Origins of Mathematical Skills , pp. 331-364
    • Campbell, J.I.D.1    Oliphant, M.2
  • 10
    • 58149409019 scopus 로고
    • A spreading-activation theory of semantic processing
    • Collins, A. M., & Loftus, E. F. (1975). A spreading-activation theory of semantic processing. Psychological Review, 82, 407-428.
    • (1975) Psychological Review , vol.82 , pp. 407-428
    • Collins, A.M.1    Loftus, E.F.2
  • 12
    • 21844522610 scopus 로고
    • Fostering cognitive growth: A perspective from research on mathematics learning and instruction
    • De Corte, E. (1995). Fostering cognitive growth: A perspective from research on mathematics learning and instruction. Educational Psychologist, 30, 37-46.
    • (1995) Educational Psychologist , vol.30 , pp. 37-46
    • De Corte, E.1
  • 13
    • 0000307825 scopus 로고
    • Influence of number size, problem structure, and response mode on children's solutions of multiplication problems
    • De Corte, E., Verschaffel, L., & Van Coillie, V. (1988). Influence of number size, problem structure, and response mode on children's solutions of multiplication problems. Journal of Mathematical Behavior, 7, 197-216.
    • (1988) Journal of Mathematical Behavior , vol.7 , pp. 197-216
    • De Corte, E.1    Verschaffel, L.2    Van Coillie, V.3
  • 16
    • 0002776706 scopus 로고
    • Research on whole number addition and subtraction
    • D. A. Grouws (Ed.), New York: Macmillan
    • Fuson, K. C. (1992). Research on whole number addition and subtraction. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 243-274). New York: Macmillan.
    • (1992) Handbook of Research on Mathematics Teaching and Learning , pp. 243-274
    • Fuson, K.C.1
  • 19
    • 0000834849 scopus 로고
    • A theory of developing competence with written mathematical symbols
    • Hiebert, J. (1988). A theory of developing competence with written mathematical symbols. Educational Studies in Mathematics, 19, 333-355.
    • (1988) Educational Studies in Mathematics , vol.19 , pp. 333-355
    • Hiebert, J.1
  • 21
    • 0002358189 scopus 로고
    • Rational and fractional numbers: From quotient fields to recursive understanding
    • T. P. Carpenter, E. Fennema & T. A. Romberg (Eds.). Hillsdale, NJ: Erlbaum
    • Kieren, T. E. (1993). Rational and fractional numbers: From quotient fields to recursive understanding. In T. P. Carpenter, E. Fennema & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 49-84). Hillsdale, NJ: Erlbaum.
    • (1993) Rational Numbers: An Integration of Research , pp. 49-84
    • Kieren, T.E.1
  • 22
    • 0010774178 scopus 로고
    • A theory of discourse comprehension: Implications for a tutor for word algebra problems
    • M. Carretero, M. Pope, R. Simons & J. I. Pozo (Eds.). Oxford: Pergamon Press
    • Kintsch, W. (1991). A theory of discourse comprehension: Implications for a tutor for word algebra problems. In M. Carretero, M. Pope, R. Simons & J. I. Pozo (Eds.), Learning and instruction. European research in an international context (Volume 3, pp. 235-253). Oxford: Pergamon Press.
    • (1991) Learning and Instruction. European Research in an International Context , vol.3 , pp. 235-253
    • Kintsch, W.1
  • 23
    • 0002147322 scopus 로고
    • Learning rational numbers with understanding: The case of informal knowledge
    • T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.). Hillsdale, NJ: Erlsbaum
    • Mack, N. K. (1993). Learning rational numbers with understanding: The case of informal knowledge. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 85-105). Hillsdale, NJ: Erlsbaum.
    • (1993) Rational Numbers: An Integration of Research , pp. 85-105
    • Mack, N.K.1
  • 25
    • 0010912076 scopus 로고
    • The flexible use of multiple mental domain representations
    • D. Towne, T. De Jong & H. Spada (Eds.). Berlin: Springer
    • Opwis, K. (1993). The flexible use of multiple mental domain representations. In D. Towne, T. De Jong & H. Spada (Eds.), Simulation-based experimental learning (pp. 77-90). Berlin: Springer.
    • (1993) Simulation-based Experimental Learning , pp. 77-90
    • Opwis, K.1
  • 27
    • 38249014180 scopus 로고
    • Discriminant effects of performance-oriented and structure-oriented mathematics tasks on achievement growth
    • Renkl, A., & Helmke, A. (1992). Discriminant effects of performance-oriented and structure-oriented mathematics tasks on achievement growth. Contemporary Educational Psychology, 17, 47-55.
    • (1992) Contemporary Educational Psychology , vol.17 , pp. 47-55
    • Renkl, A.1    Helmke, A.2
  • 28
    • 0002192449 scopus 로고
    • Die bedeutung von kognitiven eingangsvoraussetzungen und lernaufgaben für das lösen von einfachen und komplexen textaufgaben
    • Renkl, A., & Stern, E. (1994). Die Bedeutung von kognitiven Eingangsvoraussetzungen und Lernaufgaben für das Lösen von einfachen und komplexen Textaufgaben [The impact of cognitive conditions and learning tasks for solving simple and complex text problems]. Zeitschrift für pädagogische Psychologie, 8, 27-39.
    • (1994) Zeitschrift Für Pädagogische Psychologie , vol.8 , pp. 27-39
    • Renkl, A.1    Stern, E.2
  • 29
    • 0000268131 scopus 로고
    • From protoquantities to operators: Building mathematical competence on a function of everyday knowledge
    • G. Leinhardt, R. Putnam & R. A. Hattrup (Eds.). Hillsdale, NJ: Erlbaum
    • Resnick, L. B. (1992). From protoquantities to operators: Building mathematical competence on a function of everyday knowledge. In G. Leinhardt, R. Putnam & R. A. Hattrup (Eds.), Analysis of arithmetic for mathematics teaching (pp. 373-429). Hillsdale, NJ: Erlbaum.
    • (1992) Analysis of Arithmetic for Mathematics Teaching , pp. 373-429
    • Resnick, L.B.1
  • 30
    • 0000488388 scopus 로고
    • Understanding algebra
    • J. A. Sloboda & D. Rogers (Eds.). Cambridge: Cambridge University Press
    • Resnick, L. B., Cauzinille-Marmeche, E., & Mathieu, J. (1987). Understanding algebra. In J. A. Sloboda & D. Rogers (Eds.), Cognitive processes in mathematics (pp. 421-432). Cambridge: Cambridge University Press.
    • (1987) Cognitive Processes in Mathematics , pp. 421-432
    • Resnick, L.B.1    Cauzinille-Marmeche, E.2    Mathieu, J.3
  • 31
    • 0000112365 scopus 로고
    • Protoquantitative origins of ratio reasoning
    • T. P. Carpenter, E. Fennema & T. A. Romberg (Eds.). Hillsdale, NJ: Erlbaum
    • Resnick, L. B., & Singer, J. A. (1993). Protoquantitative origins of ratio reasoning. In T. P. Carpenter, E. Fennema & T. A. Romberg (Eds.), Rational numbers: an integration of research (pp. 107-130). Hillsdale, NJ: Erlbaum.
    • (1993) Rational Numbers: An Integration of Research , pp. 107-130
    • Resnick, L.B.1    Singer, J.A.2
  • 33
    • 0002017110 scopus 로고
    • From text to situation to equation: Cognitive simulation of understanding and solving mathematical word problems
    • H. Mandl, E. de Corte, N. Bennett & H. F. Friedrich (Eds.). Oxford: Pergamon Press
    • Reusser, K. (1990). From text to situation to equation: Cognitive simulation of understanding and solving mathematical word problems. In H. Mandl, E. de Corte, N. Bennett & H. F. Friedrich (Eds.), Learning and instruction (pp. 477-498). Oxford: Pergamon Press.
    • (1990) Learning and Instruction , pp. 477-498
    • Reusser, K.1
  • 35
    • 0003088064 scopus 로고
    • The representation of knowledge in memory
    • R. C. Anderson, R. J. Spiro, & W. E. Montague (Eds.). Hillsdale, NJ: Erlbaum
    • Rumelhart, D. E., & Ortonony, A. (1977). The representation of knowledge in memory. In R. C. Anderson, R. J. Spiro, & W. E. Montague (Eds.), Schooling and the acquisition of knowledge (pp. 99-135). Hillsdale, NJ: Erlbaum.
    • (1977) Schooling and the Acquisition of Knowledge , pp. 99-135
    • Rumelhart, D.E.1    Ortonony, A.2
  • 37
    • 0001308127 scopus 로고
    • Student perceptions of relatedness among mathematical verbal problems
    • Silver, E. A. (1979). Student perceptions of relatedness among mathematical verbal problems. Journal of Research in Mathematics Education, 10, 195-210.
    • (1979) Journal of Research in Mathematics Education , vol.10 , pp. 195-210
    • Silver, E.A.1
  • 39
    • 0010912077 scopus 로고
    • Number learning as constructing coherent networks by means of Piaget-derived operative principles
    • M. Zweng, T. Green, J. Kilpatrick, H. Pollak, & M. Snydam (Eds.). Boston, MA: Birkhauser
    • Steiner, G. (1983). Number learning as constructing coherent networks by means of Piaget-derived operative principles. In M. Zweng, T. Green, J. Kilpatrick, H. Pollak, & M. Snydam (Eds.), ICME - Proceedings of the 4th International Congress (pp. 508-511). Boston, MA: Birkhauser.
    • (1983) ICME - Proceedings of the 4th International Congress , pp. 508-511
    • Steiner, G.1
  • 41
    • 0010848662 scopus 로고
    • From Piaget's constructivism to semantic network theory: Applications to mathematics education - A microanalysis
    • R. Biehler, R. W. Scholz, R. Strässer & B. Winkelmann (Eds.). Dordrecht: Kluwer
    • Steiner, G. (1994). From Piaget's constructivism to semantic network theory: Applications to mathematics education - a microanalysis. In R. Biehler, R. W. Scholz, R. Strässer & B. Winkelmann (Eds.), Mathematics didactics as a scientific discipline (pp. 247-261). Dordrecht: Kluwer.
    • (1994) Mathematics Didactics as a Scientific Discipline , pp. 247-261
    • Steiner, G.1
  • 42
    • 85033087821 scopus 로고    scopus 로고
    • Educational learning theory
    • (in press, a). R. Tennyson & F. Schott (Eds.). Hillsdale, NJ: Erlbaum
    • Steiner, G. (in press, a). Educational learning theory. In R. Tennyson & F. Schott (Eds.) Instructional design: international perspectives. Hillsdale, NJ: Erlbaum.
    • Instructional Design: International Perspectives
    • Steiner, G.1
  • 44
    • 0000701122 scopus 로고
    • Subtracting fractions with different denominators
    • Streefland, L. (1982). Subtracting fractions with different denominators. Educational Studies in Mathematics, 13(3), 233-255.
    • (1982) Educational Studies in Mathematics , vol.13 , Issue.3 , pp. 233-255
    • Streefland, L.1
  • 46
    • 0002495291 scopus 로고
    • Realistic mathematics education in primary school
    • Utrecht, The Netherlands, Freudenthal Institute
    • Streefland, L. (Ed.) (1991a). Realistic mathematics education in primary school. On the occasion of the Freudenthal Institute. Utrecht, The Netherlands, Freudenthal Institute.
    • (1991) On the Occasion of the Freudenthal Institute
    • Streefland, L.1
  • 48
    • 0002331169 scopus 로고
    • Fractions: A realistic approach
    • T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.). Hillsdale, NJ: Erlbaum
    • Streefland, L. (1993). Fractions: A realistic approach. In T. P. Carpenter, E. Fennema, & T. A. Romberg (Eds.), Rational numbers: An integration of research (pp. 289-325). Hillsdale, NJ: Erlbaum.
    • (1993) Rational Numbers: An Integration of Research , pp. 289-325
    • Streefland, L.1
  • 49
    • 0000819688 scopus 로고
    • Cognitive load during problem solving. Effects on learning
    • Sweller, J. (1988). Cognitive load during problem solving. Effects on learning. Cognitive Science, 12, 257-285.
    • (1988) Cognitive Science , vol.12 , pp. 257-285
    • Sweller, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.