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Volumn 12, Issue 2, 2000, Pages 74-91

Calculus students' ability to solve geometric related-rates problems

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EID: 79954802019     PISSN: 10332170     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03217077     Document Type: Article
Times cited : (18)

References (34)
  • 1
    • 84904044506 scopus 로고
    • Geometry for calculus readiness
    • In M. M. Lindquist (Ed.) Reston, VA: National Council of Teachers of Mathematics
    • Balomenos, R. H., Ferrini-Mundy, J., & Dick, T. (1987). Geometry for calculus readiness. In M. M. Lindquist (Ed.), Learning and teaching geometry, 1-12 (pp. 195-209). Reston, VA: National Council of Teachers of Mathematics.
    • (1987) Learning and teaching geometry , vol.1-12 , pp. 195-209
    • Balomenos, R.H.1    Ferrini-Mundy, J.2    Dick, T.3
  • 2
    • 0842326867 scopus 로고
    • (2nd ed.). New York, NY: Holt, Rinehart and Winston
    • Berkey, D. D. (1988). Calculus (2nd ed.). New York, NY: Holt, Rinehart and Winston.
    • (1988) Calculus
    • Berkey, D.D.1
  • 4
    • 24944465222 scopus 로고
    • Calculus: Crisis looms in mathematics' future
    • Cipra, B. A. (1988). Calculus: Crisis looms in mathematics' future. Science, 239, 1491-1492.
    • (1988) Science , vol.239 , pp. 1491-1492
    • Cipra, B.A.1
  • 6
    • 0347703239 scopus 로고
    • The calculus of education reform
    • Culotta, E. (1992). The calculus of education reform. Science, 225, 1060-1062.
    • (1992) Science , vol.225 , pp. 1060-1062
    • Culotta, E.1
  • 12
    • 27844599514 scopus 로고
    • Secondary school calculus: Preparation or pitfall in the study of college calculus?
    • Ferrini-Mundy, J. & Gaudard, M. (1992). Secondary school calculus: Preparation or pitfall in the study of college calculus? Journal for Research in Mathematics Education, 23, 56-71.
    • (1992) Journal for Research in Mathematics Education , vol.23 , pp. 56-71
    • Ferrini-Mundy, J.1    Gaudard, M.2
  • 13
    • 0345424615 scopus 로고
    • An overview of the calculus curriculum reform effort: Issues for learning, teaching, and curriculum development
    • Ferrini-Mundy, J. & Graham, K. G. (1991). An overview of the calculus curriculum reform effort: Issues for learning, teaching, and curriculum development. American Mathematical Monthly, 98, 627-635.
    • (1991) American Mathematical Monthly , vol.98 , pp. 627-635
    • Ferrini-Mundy, J.1    Graham, K.G.2
  • 14
    • 0002549333 scopus 로고
    • The role of conceptual entities and their symbols in building advanced mathematical concepts
    • In D. Tall (Ed.) Dordrecht, Netherlands: Kluwer
    • Harel, G. & Kaput, J. (1991). The role of conceptual entities and their symbols in building advanced mathematical concepts. In D. Tall (Ed.), Advanced mathematical thinking (pp. 82-94). Dordrecht, Netherlands: Kluwer.
    • (1991) Advanced mathematical thinking , pp. 82-94
    • Harel, G.1    Kaput, J.2
  • 15
    • 0002461839 scopus 로고
    • Conceptual and procedural knowledge in mathematics: An introductory analysis
    • In J. Hiebert (Ed.), Hillsdale, NJ: Lawrence Erlbaum
    • Hiebert, J. & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory analysis. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics. Hillsdale, NJ: Lawrence Erlbaum.
    • (1986) Conceptual and procedural knowledge: The case of mathematics
    • Hiebert, J.1    Lefevre, P.2
  • 19
    • 33846348633 scopus 로고    scopus 로고
    • Honors students' calculus understandings: Comparing Calculus & Mathematica and traditional calculus students
    • Meel, D. E. (1998). Honors students' calculus understandings: Comparing Calculus & Mathematica and traditional calculus students. Conference Board of the Mathematical Sciences Issues in Mathematics Education, 7, 163-215.
    • (1998) Conference Board of the Mathematical Sciences Issues in Mathematics Education , vol.7 , pp. 163-215
    • Meel, D.E.1
  • 20
    • 0005596971 scopus 로고
    • National Assessment of Educational Progress., Princeton, NJ: Educational Testing Service
    • National Assessment of Educational Progress. (1988). Mathematics objectives: 1990 Assessment. Princeton, NJ: Educational Testing Service.
    • (1988) Mathematics objectives: 1990 Assessment
  • 21
    • 33645649306 scopus 로고
    • Students' understanding of integration
    • Orton, A. (1983a). Students' understanding of integration. Educational Studies in Mathematics, 14, 1-18.
    • (1983) Educational Studies in Mathematics , vol.14 , pp. 1-18
    • Orton, A.1
  • 22
    • 0000881719 scopus 로고
    • Students' understanding of differentiation
    • Orton, A. (1983b). Students' understanding of differentiation. Educational Studies in Mathematics, 14, 235-250.
    • (1983) Educational Studies in Mathematics , vol.14 , pp. 235-250
    • Orton, A.1
  • 24
    • 84952533081 scopus 로고
    • The troubled state of calculus: A push to revitalise college calculus teaching has begun
    • Peterson, I. (1986). The troubled state of calculus: A push to revitalise college calculus teaching has begun. Science News, 129, 220-221.
    • (1986) Science News , vol.129 , pp. 220-221
    • Peterson, I.1
  • 25
    • 33644892057 scopus 로고
    • Apropos de l'apprentissage du taux de variation instantanal
    • Schneider, M. (1992). Apropos de l'apprentissage du taux de variation instantanal [On the learning of instantaneous rate of change]. Educational Studies in Mathematics, 23, 317-350.
    • (1992) Educational Studies in Mathematics , vol.23 , pp. 317-350
    • Schneider, M.1
  • 26
    • 0002546637 scopus 로고
    • On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
    • Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22, 1-36.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 1-36
    • Sfard, A.1
  • 27
    • 0003110401 scopus 로고
    • Reflections on doing and teaching mathematics
    • In A. H. Schoenfeld (Ed.) Hillsdale, NJ: Lawrence Erlbaum
    • Schoenfeld, A. H. (1994). Reflections on doing and teaching mathematics. In A. H. Schoenfeld (Ed.), Mathematical thinking and problem solving (pp. 53-70). Hillsdale, NJ: Lawrence Erlbaum.
    • (1994) Mathematical thinking and problem solving , pp. 53-70
    • Schoenfeld, A.H.1
  • 28
    • 85080810309 scopus 로고
    • Mathematical and scientific problem solving: Findings, issues and instructional implications
    • In B. F. Jones and L. Idol (Eds.) Hillsdale, NJ: Lawrence Erlbaum
    • Silver, E. A. & Marshall, S. P. (1990). Mathematical and scientific problem solving: Findings, issues and instructional implications. In B. F. Jones and L. Idol (Eds.), Dimensions of thinking and cognitive instruction (Vol. I, pp. 265-290). Hillsdale, NJ: Lawrence Erlbaum.
    • (1990) Dimensions of thinking and cognitive instruction , vol.1 , pp. 265-290
    • Silver, E.A.1    Marshall, S.P.2
  • 30
    • 84904038847 scopus 로고
    • Twenty questions for calculus reformers
    • In R. G. Douglas (Ed.) MAA Notes Washington, DC: Mathematical Association of America
    • Steen, L. A. (1986). Twenty questions for calculus reformers. In R. G. Douglas (Ed.), Toward a lean and lively calculus. MAA Notes No. 6 (pp. 157-165). Washington, DC: Mathematical Association of America.
    • (1986) Toward a lean and lively calculus , Issue.6 , pp. 157-165
    • Steen, L.A.1
  • 31
    • 0000019871 scopus 로고
    • Images of rate and operational understanding of the fundamental theorem of calculus
    • Thompson, P. W. (1994). Images of rate and operational understanding of the fundamental theorem of calculus. Educational Studies in Mathematics, 26, 229-274.
    • (1994) Educational Studies in Mathematics , vol.26 , pp. 229-274
    • Thompson, P.W.1
  • 34
    • 8744225129 scopus 로고    scopus 로고
    • A decade of teaching 'reform calculus' has been a disaster, critics charge: Mathematicians divide over a curricular movement that some say has cheated students
    • Wilson, R. (1997). A decade of teaching 'reform calculus' has been a disaster, critics charge: Mathematicians divide over a curricular movement that some say has cheated students. The Chronicle of Higher Education, 43 (22), A12-A13.
    • (1997) The Chronicle of Higher Education , vol.43 , Issue.22
    • Wilson, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.