Nonmath analogies in teaching mathematics

Procedia - Social and Behavioral Sciences

Volumn 2, Issue 2, 2010, Pages 5738-5743

  Sarina, Vera ^a   Namukasa, Immaculate K ^b  

^a TORONTO DISTRICT SCHOOL BOARD   (Canada)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

analogies; highschool; Mathematics; teaching

Indexed keywords

EID: 77957708182     PISSN: 18770428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/j.sbspro.2010.03.937     Document Type: Conference Paper

References (36)

1. Aubusson, P. J., Harrison, A. G., & Ritchie, S. M, (2006). Metaphor and analogy: Serious thought in science education. In P. J. Aubusson, A. G. Harrison and S. M. Ritchie (Eds.), Analogy in science, 1-10. Dordrecht: Springer.
2. Berg, R. (2001). Multiplication from Lilavati to the Summa. Mathematics Teaching in the Middle School, 7, 226-228.
3. Cambridge Advance Learner's Dictionary (2005) (3rd Edn.). Cambrigde: Cambridge University Press.
4. English, L. D. (1997). Mathematical Reasoning: Analogies, metaphors and Images. LEA: Mahwah, NJ.
5. English, L. D. (1997). Mathematical Reasoning: Analogies, metaphors and Images. Mahwah, NJ: LEA.
6. English, L. D., & Sharry, P. V. (1996). Analogical reasoning and the development of algebraic abstraction. Educational Studies in Mathematics 30, 135-157. (Pubitemid 126040228)
7. Hall, N. (1998). Concrete representations and procedural analogy theory. Journal of Mathematical Behavior, 17(1), 33-51.
8. Heefer, A. (2007), Learning concepts through the history of mathematics. In Francois, K., & Bendegem, J. P. V. (Eds.), Philosophical dimensions in mathematics education (82-103). Dordrecht: Springer.
9. Høyrup, J. (2007). The roles of Mesopotamia bronze age mathematics tool for state formation and administration - carrier of teachers' professional intellectual autonomy.
10. Kaput, James, Carraher, David. & Maria Blanton. Algebra in the early grades. New York: LA. 2008.
11. Lakoff, G., & Johnson M. (1987). Metaphors we live by. Chicago: Chicago University.
12. Lakoff, G., & Núñez, R. E. (2001). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic Books.
13. Lee, K., Kim M., Na G., Han D., & SandHun S.. (2007). Induction, analogy, and imagery in geometric reasoning. In Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education 3, eds. J-H. Woo, H-C. Lew, K-S. Park and D-Y. Seo, 145-157. Seoul: Seoul National University.
14. Mason, J. (1989). Mathematical abstraction as the result of a delicate shift of attention. For the Learning of Mathematics 9 (2), 2-8.
15. Namukasa, I. K., Stanley, D., & Tutchie, M. (2009). Virtual Manipulative Materials in Secondary Mathematics: A Theoretical Discussion. Journal of Computers in Mathematics and Science Teaching, 28 (3), 277-307.
16. National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
17. NCTM (1969). Historical topics for the mathematics classroom. Reston, VA: NCTM.
18. nd edition). New York: Oxford University Press.
19. Pirie, S., & Kieren, T. (1994). Growth in mathematical understanding: How can we characterize it and how can we represent it? Educational Studies in Mathematics, 26, 165-190.
20. Radford, L. (2003). Gesture, speech, and the sprouting of signs: A semiotic-cultural approach to students' types of generalization. Mathematical Thinking and Learning, 5(1), 37-70.
21. Richland, L. Holyoak, K. & Stigler, J. (2004). Analogy Use in Eighth-Grade Mathematics Classrooms. Cognition and Instruction. Vol. 22, Iss. 1, p. 37.
22. NCTM Standards and Principals for School Mathematics.
23. NCTM (1969). Historical topics for the mathematics classroom.
24. nd edition). New York: Oxford University Press.
25. Pirie, S., & Kieren, T. (1994). Growth in mathematical understanding: How can we characterize it and how can we represent it? Educational Studies in Mathematics, 26, 165-190.
26. Richland, L. Holyoak, K. & Stigler, J. (2004). Analogy Use in Eighth-Grade Mathematics Classrooms. Cognition and Instruction. Vol. 22, Iss. 1, p. 37.
27. Richland Lindsey, Zur Osnat & Hoyloak Keith. Cognitive Supports for Analogies in the Mathematics Classrooms. Science, 316, 1128-1129. 2007
28. Rubenstein, N. (1996). Strategies to support the learning of the language of mathematics. Yearbook (National Council of Teachers of Mathematics) [H.W. Wilson - EDUC]. 1996. Vol., p. 214-18.
29. Sfard, A. (1991b). Reification as the birth of metaphor. For the Learning of Mathematics, 14 (1), 44-55.
30. Smith, David E. (1958). History of Mathematics. New York: Dover.
31. Stavy R., & Tirosh, D. (2000). How students (mis-)understand science and mathematics: Intuitive rules. New York: Teachers College.
32. Swetz, F. (1995). To know and to teach: Mathematical pedagogy form a historical context. Educational Studies in Mathematics, 29, 73-88.
33. Webster's Illustrated Encyclopedic Dictionnary (1990). Montreal: Tormont.
34. Wilbers, J., & Duit, R. (2006). Post-festum and heuristic analogies. In P. J. Aubusson, A. G. Harrison and S. M. Ritchie (Eds.), Analogy in science, 37-50. Dordrecht: Springer.
35. Wolfram, E. (2007). Geometrical analogies in mathematics lessons Teaching Mathematics and its Applications. Oxford: Vol. 26, Iss. 4, p. 201-211 (11 pp.).
36. Yilmaz, S., Eryilmaz, A., & Geban, O. (2006). Assessing the Impact of Bridging Analogies in Mechanics School Science and Mathematics, 106 (6), 220-230.