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Creating a Mathematical Laboratory

By Lou Feicht

Have you limited your teaching of matrices to advanced high school math classes? Now, technology can help you teach them to middle schoolstudents. In this article, the author shows how careful planning and a computer spreadsheet program can foster a highly constructive learning enviornment. Check out the following links and the supplemental resources to Louis Feicht's article.

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Microsoft Encarta Lesson Collection
http://encarta.msn.com/schoolhouse/default.asp

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Louis Feicht's school Web page
www.silverfalls.k12.or.us/lou/

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Apple Works
www.apple.com/appleworks/

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Microsoft Excel
www.microsoft.com/products/prodref/447_ov.htm

Resources

Bruner, J. S. (1962). On knowing: Essays for the left hand. Cambridge, MA: Harvard University Press.

Eggen, P. D., & Kauchak, D. P. (1996). Strategies for teachers: Teaching content and thinking skills. Needham Heights, MA: Allyn & Bacon.

Esty, W. W., & Teppo, A. R. (1996). Algebraic thinking, language and word problems. In P. Elliot (Ed.), Communication in mathematics, K-12 and beyond (pp. 45-53). Reston, VA: National Council of Teachers of Mathematics.

Hoyles, C. (1985). What is the point of group discussion in mathematics? Educational Studies in Mathematics, 16, 205-214.

Hoyles, C. (1992). Mathematics teaching and mathematics teachers: A meta-case study. For the Learning of Mathematics, 12(3), 32-44.

Hoyles, C., & Noss, R. (1992). A pedagogy for mathematical microworlds. Educational Studies in Mathematics, 23, 31-57.

Hoyles, C., Sutherland, R., & Healy, L. (1991). Children talking in computer environments: New insights into the role of discussion in mathematical learning. In K. Durkin & B. Shire (Eds.), Language in mathematical education: Research and practice (pp. 162-175). Bristol, PA: Open University Press.

Mason, J., & Pimm, D. (1984). Generic examples: Seeing the general in the particular. Educational Studies in Mathematics, 15, 277-289.

Piaget, J. (1970). Science education and the psychology of the child. New York: Orion Press.

Piaget, J. (1969). The language and thought of the child Cleveland: World Publishing.

Sutherland, R. (1993). Consciousness of the unknown. For the Learning of Mathematics, 13(1), 43-46.

Sutherland, R. & Rojano, T. (1993). A spreadsheet approach to solving algebra problems. Journal of Mathematical Behavior, 12, 353-382.

Von Glaserfeld, E. (1995). Radical constructivism: A way of knowing and learning. Washington, DC: Falmer Press.

Vygotsky, L. S. (1986). Thought and language. Cambridge, MA: MIT Press.

Lou Feicht, lfeicht@capnet.k12.or.us

Copyright © 1999, ISTE (International Society for Technology in Education). All rights reserved.

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