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Volumn , Issue , 2017, Pages 133-160

Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculum

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EID: 85144378491     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9781315097435-6     Document Type: Chapter
Times cited : (58)

References (29)
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    • Using computers to promote students’ inventions on the function concept
    • S. Malcom, L. Roberts, and K. Sheingold (Eds.), Washington, DC:American Association for the Advancement of Science
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    • Splitting, similarity, and rate of change: New approaches to multiplication and exponential functions
    • G. Harel and J. Confrey (Eds.), Albany, NY: State University of New York Press
    • Confrey, J. (1994). Splitting, similarity, and rate of change: New approaches to multiplication and exponential functions. In G. Harel and J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 293-332). Albany, NY: State University of New York Press.
    • (1994) The development of multiplicative reasoning in the learning of mathematics , pp. 293-332
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    • Exponential functions, rate of change, and the multiplicative unit
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    • Missing value proportional reasoning problems:Factors affecting informal reasoning patterns
    • G. Harel and J. Confrey (Ed.), Albany, NY: State University of New York Press
    • Kaput, J., and West, M. (1994). Missing value proportional reasoning problems:Factors affecting informal reasoning patterns. In G. Harel and J. Confrey (Ed.), The development of multiplicative reasoning in the learning of mathematics (pp. 236-287).Albany, NY: State University of New York Press.
    • (1994) The development of multiplicative reasoning in the learning of mathematics , pp. 236-287
    • Kaput, J.1    West, M.2
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    • Expressing generality and roots of algebra
    • N. Bednarz, C. Kieran, and L. Lee (Eds.), Dordrecht, the Netherlands: Kluwer Academic
    • Mason, J. (1996). Expressing generality and roots of algebra. In N. Bednarz, C. Kieran, and L. Lee (Eds.), Approaches to algebra: Perspectives for research and teaching (pp. 65-86). Dordrecht, the Netherlands: Kluwer Academic.
    • (1996) Approaches to algebra: Perspectives for research and teaching , pp. 65-86
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  • 25
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    • Where is the mind? Knowing and knowledge in Cobb’s constructivist and sociocultural perspectives
    • Smith, E. (1995). Where is the mind? Knowing and knowledge in Cobb’s constructivist and sociocultural perspectives. Educational Researcher, 24(7), 23-24.
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    • Smith, E.1
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    • An introduction to radical constructivism
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    • von Glasersfeld, E. (1984). An introduction to radical constructivism. In P. Watzlawick (Ed.), The invented reality (pp. 17-40). New York: Norton.
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    • Yackel, E. (1993, July). The evolution of second grade children’s understanding of what constitutes an explanation in a mathematics class. Paper presented at the International Conference of Mathematics Education, Quebec, Canada.
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