14 - Ideas as Species
from Part VII
Published online by Cambridge University Press: 26 July 2017
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- What is a Mathematical Concept? , pp. 237 - 250Publisher: Cambridge University PressPrint publication year: 2017
References
Barrow, J. D. (1993). Pi in the sky: Counting, thinking, and being. New York: Little, Brown and Company.Google Scholar
Burger, E. B., & Starbird, M. (2005). The heart of mathematics: An invitation to effective thinking (2nd ed.). Emeryville, CA: Key College Publishing.Google Scholar
Cullen, B. (1998). Parasite ecology and the evolution of religion. In Heylighen, F., Bollen, J., & Riegler, A. (Eds.), The evolution of complexity (pp. 255–261). Dordrecht, The Netherlands: Kluwer Academic Publishers.Google Scholar
Davis, B., & Simmt, E. (2003). Understanding learning systems: Mathematics teaching and complexity science. Journal for Research in Mathematics Education, 34(2), 137–167.CrossRefGoogle Scholar
Davis, B., & Sumara, D. (2005). Challenging images of knowing: Complexity science and educational research. International Journal of Qualitative Studies in Education, 18(3), 305–321.CrossRefGoogle Scholar
Davis, B., Sumara, D., & Luce-Kapler, R. (2015). Engaging minds: Cultures of education and practices of teaching. New York: Routledge.Google Scholar
diSessa, A. A. (1982). Unlearning Aristotelian physics: A study of knowledge-based learning. Cognitive Science, 6(1), 37–75.Google Scholar
Foote, R. (2007). Mathematics and complex systems. Science, 318(5849), 410–412.CrossRefGoogle ScholarPubMed
Hall, R., & Nemirovsky, R. (2012). Introduction to the special issue: Modalities of body engagement in mathematical activity and learning. Journal of the Learning Sciences, 21(2), 207–215.CrossRefGoogle Scholar
Hoffman, D. (2000). Visual intelligence: How we create what we see. New York: W. W. Norton.Google Scholar
Hofstadter, D., & Sander, E. (2013). Surfaces and essences: Analogy as the fuel and fire of thinking. New York: Basic Books.Google Scholar
Lakoff, G., & Núñez, R. (2000). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic Books.Google Scholar
Maturana, H., & Varela, F. (1979). Autopoiesis and cognition: The realization of the living. Boston, MA: D. Reidel.Google Scholar
Mitchell, M. (2009). Complexity: A guided tour. Oxford: Oxford University Press.CrossRefGoogle Scholar
Piaget, J. (2013). Principles of genetic epistemology: Selected works (vol. 7). London: Routledge.CrossRefGoogle Scholar
Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. New York: Cambridge University Press.CrossRefGoogle Scholar
von Glasersfeld, E. (1990). An exposition of constructivism: Why some like it radical. In Davis, R. B., Maher, C. A., & Noddings, N. (Eds.), Constructivist views on the teaching and learning of mathematics (pp. 19–29). Reston, VA: National Council of Teachers of Mathematics.Google Scholar
Zandieh, M. J., & Knapp, J. (2006). Exploring the role of metonymy in mathematical understanding and reasoning: The concept of derivative as an example. The Journal of Mathematical Behavior, 25(1), 1–17.CrossRefGoogle Scholar
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