메뉴 건너뛰기




Volumn 40, Issue 3, 2009, Pages 282-313

The model method: Singapore children's tool for representing and solving algebraic word problems

Author keywords

Algebra; Elementary; K 8; Modeling; Problem solving; Representation; Teaching practice

Indexed keywords


EID: 67649659904     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (96)

References (40)
  • 1
    • 0003012180 scopus 로고    scopus 로고
    • Emergence and development of algebra as a problem-solving tool: Continuities and discontinuities with arithmetic
    • N. Bednarz, C. Kieran, & L. Lee, Eds, Dordrecht, The Netherlands: Kluwer
    • Bednarz, N., & Janvier, B. (1996). Emergence and development of algebra as a problem-solving tool: Continuities and discontinuities with arithmetic. In N. Bednarz, C. Kieran, & L. Lee. (Eds.), Approaches to algebra: Perspectives for research and teaching (pp. 115-136). Dordrecht, The Netherlands: Kluwer.
    • (1996) Approaches to algebra: Perspectives for research and teaching , pp. 115-136
    • Bednarz, N.1    Janvier, B.2
  • 3
    • 0010922436 scopus 로고
    • Children's difficulties in beginning algebra
    • A. F. Coxford & A. P. Shulte Eds, Reston, VA: National Council of Teachers of Mathematics
    • Booth, L. (1988). Children's difficulties in beginning algebra. In A. F. Coxford & A. P. Shulte (Eds.), The ideas of algebra, K-12:1988 yearbook(pp. 20-32). Reston, VA: National Council of Teachers of Mathematics.
    • (1988) The ideas of algebra, K-12:1988 yearbook , pp. 20-32
    • Booth, L.1
  • 4
    • 84963486131 scopus 로고
    • An integrated model of skill in solving elementary word problems
    • Briars, D. J., & Larkin, J. H. (1984). An integrated model of skill in solving elementary word problems. Cognition and Instruction, 1, 245-296.
    • (1984) Cognition and Instruction , vol.1 , pp. 245-296
    • Briars, D.J.1    Larkin, J.H.2
  • 5
    • 67649647400 scopus 로고    scopus 로고
    • The development of students' algebraic thinking in earlier grades: A cross-cultural comparative perspective
    • Cai, J., Lew, H. C, Morris, A., Moyer, J. C, Ng, S. F., & Schmittau, J. (2005). The development of students' algebraic thinking in earlier grades: A cross-cultural comparative perspective. Zentralblatt fürDidaktik der Mathematik, 37, 5-15.
    • (2005) Zentralblatt fürDidaktik der Mathematik , vol.37 , pp. 5-15
    • Cai, J.1    Lew, H.C.2    Morris, A.3    Moyer, J.C.4    Ng, S.F.5    Schmittau, J.6
  • 7
    • 84963167991 scopus 로고
    • The development of addition and subtraction problem-solving skills
    • T. P. Carpenter, J. M. Moser, & T. A. Romberg Eds, Hillsdale, NJ: Erlbaum
    • Carpenter, T. P., & Moser, J. M. (1982). The development of addition and subtraction problem-solving skills. In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cogni- tive perspective (pp. 9-24). Hillsdale, NJ: Erlbaum.
    • (1982) Addition and subtraction: A cogni- tive perspective , pp. 9-24
    • Carpenter, T.P.1    Moser, J.M.2
  • 8
    • 0002347038 scopus 로고
    • Algebra word problem solutions: Thought processes underlying a common miscon- ception
    • Clement, J. (1982). Algebra word problem solutions: Thought processes underlying a common miscon- ception. Journal for Research in Mathematics Education, 13, 16-30.
    • (1982) Journal for Research in Mathematics Education , vol.13 , pp. 16-30
    • Clement, J.1
  • 12
    • 75149190059 scopus 로고    scopus 로고
    • Curriculum Planning and Development Division , Singapore: Ministry of Education
    • Curriculum Planning and Development Division (2000a). 2001 Mathematics syllabus: Primary. Singapore: Ministry of Education.
    • (2000) 2001 Mathematics syllabus: Primary
  • 13
    • 75149190059 scopus 로고    scopus 로고
    • Curriculum Planning and Development Division , Singapore: Ministry of Education
    • Curriculum Planning and Development Division (2000b). 2001 Mathematics syllabus: Lower secondary. Singapore: Ministry of Education.
    • (2000) 2001 Mathematics syllabus: Lower secondary
  • 14
    • 67649669562 scopus 로고    scopus 로고
    • Curriculum Planning Divisio. (1990). Mathematics syllabus: Primary. Singapore: Ministry of Education.
    • Curriculum Planning Divisio. (1990). Mathematics syllabus: Primary. Singapore: Ministry of Education.
  • 15
    • 22944487352 scopus 로고
    • An experiment in introducing elements of algebra in elementary school
    • Davydov, V. V. (1962). An experiment in introducing elements of algebra in elementary school. Sovetskaia Pedagogika, 8, 27-37.
    • (1962) Sovetskaia Pedagogika , vol.8 , pp. 27-37
    • Davydov, V.V.1
  • 17
    • 0000482988 scopus 로고
    • Influence of rewording verbal problems on chil- dren's problem representations and solutions
    • De Corte, E., Verschaffel, L., & De Win, L. (1985). Influence of rewording verbal problems on chil- dren's problem representations and solutions. Journal of Educational Psychology, 77, 460-470.
    • (1985) Journal of Educational Psychology , vol.77 , pp. 460-470
    • De Corte, E.1    Verschaffel, L.2    De Win, L.3
  • 18
    • 34250411267 scopus 로고
    • Soviet research on teaching algebra at the lower grades of the elementary school
    • Freudenthal, H. (1974). Soviet research on teaching algebra at the lower grades of the elementary school. Educational Studies in Mathematics, 5, 391-412.
    • (1974) Educational Studies in Mathematics , vol.5 , pp. 391-412
    • Freudenthal, H.1
  • 19
    • 85085441660 scopus 로고
    • Cognitive obstacles encountered in the learning of algebra
    • S. Wagner & C. Kieran (Eds, Research agenda for mathematics education pp, Reston, VA: National Council of Teachers of Mathematics
    • Herscovics, N. (1989). Cognitive obstacles encountered in the learning of algebra. In S. Wagner & C. Kieran (Eds.), Research issues in the learning and teaching of algebra: Vol. 4, Research agenda for mathematics education (pp. 60-86). Reston, VA: National Council of Teachers of Mathematics.
    • (1989) Research issues in the learning and teaching of algebra , vol.4 , pp. 60-86
    • Herscovics, N.1
  • 21
    • 0001071316 scopus 로고
    • Concepts associated with the equality symbol
    • Kieran, C. (1981). Concepts associated with the equality symbol. Educational Studies in Mathematics, 12,317-326.
    • (1981) Educational Studies in Mathematics , vol.12 , pp. 317-326
    • Kieran, C.1
  • 22
    • 0021907853 scopus 로고
    • Understanding and solving word arithmetic problems
    • Kintsch, W., & Greeno, J. G. (1985). Understanding and solving word arithmetic problems. Psychological Review, 92, 109-129.
    • (1985) Psychological Review , vol.92 , pp. 109-129
    • Kintsch, W.1    Greeno, J.G.2
  • 24
    • 0343170815 scopus 로고
    • Expert and novice performance in solving physics problems
    • Larkin, J., McDermott, J., Simon, D. P., & Simon, H. A. (1980). Expert and novice performance in solving physics problems. Science, 208(4450), 1335-1342.
    • (1980) Science , vol.208 , Issue.4450 , pp. 1335-1342
    • Larkin, J.1    McDermott, J.2    Simon, D.P.3    Simon, H.A.4
  • 25
    • 65249147721 scopus 로고    scopus 로고
    • The contributions of working memory and executive func- tioning to problem representation and solution generation in algebraic word problems
    • in press
    • Lee, K., Ng, E. L., & Ng, S. F. (in press). The contributions of working memory and executive func- tioning to problem representation and solution generation in algebraic word problems. Journal of Educational Psychology.
    • Journal of Educational Psychology
    • Lee, K.1    Ng, E.L.2    Ng, S.F.3
  • 26
    • 4544249173 scopus 로고    scopus 로고
    • Working memory and literacy as predictors of perfor- mance on algebraic word problems
    • Lee, K., Ng, S. F., Ng, E. L., & Lim, Z. Y. (2004). Working memory and literacy as predictors of perfor- mance on algebraic word problems. Journal of Experimental Child Psychology, 89, 140-158.
    • (2004) Journal of Experimental Child Psychology , vol.89 , pp. 140-158
    • Lee, K.1    Ng, S.F.2    Ng, E.L.3    Lim, Z.Y.4
  • 27
    • 0001184143 scopus 로고
    • Training students to represent arithmetic word problems
    • Lewis, A. B. (1989). Training students to represent arithmetic word problems. Journal of Educational Psychology, 81, 521-531.
    • (1989) Journal of Educational Psychology , vol.81 , pp. 521-531
    • Lewis, A.B.1
  • 29
    • 26944431672 scopus 로고    scopus 로고
    • Effects of semantic cues on mathematical modeling: Evidence from word-problem solving and equation construction tasks
    • Martin, S. A., & Bassok, M. (2005). Effects of semantic cues on mathematical modeling: Evidence from word-problem solving and equation construction tasks. Memory & Cognition, 33,471-478.
    • (2005) Memory & Cognition , vol.33 , pp. 471-478
    • Martin, S.A.1    Bassok, M.2
  • 30
    • 84869317724 scopus 로고    scopus 로고
    • Retrieved March 10,2009, from
    • Ministry of Education. (2005). Singapore education milestones 2004-2005. Retrieved March 10,2009, from http://www.moe.gov.sg/about/yearbooks/2005/ flexibility/refining-streaming.html
    • (2005) Singapore education milestones 2004-2005
  • 31
    • 0002814286 scopus 로고
    • Development of children's problem-solving ability
    • H. P. Ginsberg Ed, New York: Academic Press
    • Riley, M. S., Greeno, J. G., & Heller, J. I. (1983). Development of children's problem-solving ability. In H. P. Ginsberg (Ed.), The development of mathematical thinking (pp. 153-196). New York: Academic Press.
    • (1983) The development of mathematical thinking , pp. 153-196
    • Riley, M.S.1    Greeno, J.G.2    Heller, J.I.3
  • 33
    • 67649666489 scopus 로고    scopus 로고
    • Ideas about symbolism that students bring to algebra
    • B. Moses Ed, Reston, VA: National Council of Teachers of Mathematics
    • Stacey, K., & MacGregor, M. (1999). Ideas about symbolism that students bring to algebra. In B. Moses (Ed.), Algebraic thinking (pp. 308-312). Reston, VA: National Council of Teachers of Mathematics.
    • (1999) Algebraic thinking , pp. 308-312
    • Stacey, K.1    MacGregor, M.2
  • 34
  • 36
    • 0010864840 scopus 로고
    • Conceptions of school algebra and uses of variables
    • A. F. Coxford & A. P. Shulte Eds, Reston, VA: National Council of Teachers of Mathematics
    • Usiskin, Z. (1988). Conceptions of school algebra and uses of variables. In A. F. Coxford & A. P. Shulte (Eds.), The ideas of algebra, K-12: 1988 yearbook (pp. 8-19). Reston, VA: National Council of Teachers of Mathematics.
    • (1988) The ideas of algebra, K-12: 1988 yearbook , pp. 8-19
    • Usiskin, Z.1
  • 37
    • 85092073965 scopus 로고
    • A classification of cognitive tasks and operations of thought involved in addition and subtraction problems
    • T. P. Carpenter, J. M. Moser, & T. A. Romberg Eds, Hillsdale, NJ: Erlbaum
    • Vergnaud, G. (1982). A classification of cognitive tasks and operations of thought involved in addition and subtraction problems. In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 39-59). Hillsdale, NJ: Erlbaum.
    • (1982) Addition and subtraction: A cognitive perspective , pp. 39-59
    • Vergnaud, G.1
  • 40
    • 0011672253 scopus 로고
    • Teaching children to use schematic drawings to solve addition and subtraction word problems
    • Willis, G. B., & Fuson, K. C. (1988). Teaching children to use schematic drawings to solve addition and subtraction word problems. Journal of Educational Psychology, 80, 192-201.
    • (1988) Journal of Educational Psychology , vol.80 , pp. 192-201
    • Willis, G.B.1    Fuson, K.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.