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Mathematics Education as a Matter of Cognition

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Encyclopedia of Educational Philosophy and Theory

Introduction

The word cognition is defined in most dictionaries as (1) process of knowing, (2) something that is known, (3) thinking, (4) perception, and (5) study of the mind. There are numerous other meanings that can be found in the domains of psychology, biology, philosophy, sociology, linguistics, and phenomenology. However, for mathematics education the primary focus has been on psychology and secondarily on biology, philosophy, and sociology. Therefore, an exploration of mathematics education as a matter of cognition implies describing and analyzing the domain of mathematics education as evolving in its notion of cognition from its roots in psychology and moving onto domains that broaden the notion of “cognition” for mathematics education researchers. There are three objectives:

  1. (a)

    To determine a “starting point” (if any) for research on cognition in mathematics education.

  2. (b)

    To unfold the development of mathematics education as a field of research based on its interaction...

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References

  • Alexander, P. A., & Winne, P. H. (Eds.). (2006). Handbook of educational psychology (2nd ed.). Mahwah: Lawrence Erlbaum Associates.

    Google Scholar 

  • Ansari, D., & Lyons, I. M. (2016). Cognitive neuroscience and mathematics learning: How far have we come? Where do we need to go? ZDM Mathematics Education, 48(3), 379–383.

    Article  Google Scholar 

  • Begle, E. G. (1979). Critical variables in mathematics education: Findings from a survey of the empirical literature. Washington, DC: Mathematical Association of America.

    Google Scholar 

  • Berliner, D. C. (2006). Educational psychology: Searching for essence throughout a century of influence. In P. Alexander & P. Winne (Eds.), Handbook of educational psychology (2nd ed., pp. 3–27). Mahwah: Lawrence Erlbaum Associates.

    Google Scholar 

  • Beth, E. W., & Piaget, J. (1966). Mathematical epistemology and psychology. Dordrecht: Reidel.

    Google Scholar 

  • Callebaut, W. (1987). Why it makes sense to extend the genotype/phenotype distinction to culture. La Nuova Critica, Nuova Serie I-II, Problemi epistemology della biologia, 2, 65.

    Google Scholar 

  • Dietrich, O. (2004). Cognitive evolution. In F. M. Wuketits & C. Antweiler (Eds.), Handbook of evolution (pp. 25–77). Weinheim: Wiley-VCH Verlag GmbH & Co.

    Google Scholar 

  • Furinghetti, F., & Radford, L. (2002). Historical conceptual developments and the teaching of mathematics: From phylogenesis and ontogenesis theory to classroom practice. In L. English (Ed.), Handbook of international research in mathematics education (pp. 631–654). Hillsdale: Erlbaum.

    Google Scholar 

  • Haeckel, E. (1874). Anthropogenie oder Entwickelungsgeschichte des Menschen. Leipzig: Engelmann.

    Google Scholar 

  • Lesh, R., Post, T., & Behr, M. (1988). Proportional reasoning. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 93–118). Reston: Lawrence Erlbaum & National Council of Teachers of Mathematics.

    Google Scholar 

  • Lesh, R., Sriraman, B., & English, L. (2014). Theories of learning mathematics. In S. Lerman (Ed.), Encyclopedia of mathematics education (pp. 615–623). Dordrecht: Springer Reference.

    Google Scholar 

  • Piaget, J., & Garcia, R. (1989). Psychogenesis and the history of science. New York: Columbia University Press.

    Google Scholar 

  • Sriraman, B., & English, L. (2004). Combinatorial mathematics: Research into practice. Connecting research into teaching. Mathematics Teacher, 98(3), 182–191.

    Google Scholar 

  • Sriraman, B., & English, L. D. (Eds.). (2010). Theories of mathematics education: Seeking new frontiers (Advances in mathematics education, series). Berlin: Springer.

    Google Scholar 

  • Sriraman, B., & Lesh, R. (2007). Leaders in mathematical thinking & learning- a conversation with Zoltan P. Dienes. Mathematical Thinking and Learning: An International Journal, 9(1), 59–75.

    Article  Google Scholar 

  • Steffe, L. P. (1995). Alternative epistemologies: An educator’s perspective. In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 489–523). Hillsdale: Lawrence Erlbaum.

    Google Scholar 

  • Törner, G., & Sriraman, B. (2006). A brief historical comparison of tendencies in mathematics didactics/education research in Germany and the United States. Zentralblatt für Didaktik der Mathematik, 38(1), 14–21.

    Article  Google Scholar 

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Correspondence to Bharath Sriraman or Kyeonghwa Lee .

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Sriraman, B., Lee, K. (2016). Mathematics Education as a Matter of Cognition. In: Peters, M. (eds) Encyclopedia of Educational Philosophy and Theory. Springer, Singapore. https://doi.org/10.1007/978-981-287-532-7_520-1

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  • DOI: https://doi.org/10.1007/978-981-287-532-7_520-1

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