Abstract
Mathematical investigations may be important educational activities, proving to be useful in the development of mathematical ideas. The principal difficulties may concern students' content knowledge, reasoning processes, and general attitudes and appreciation. This paper refers to a computer based investigation undertaken by three eight-grade students, discussing in special their cognitive processes and social interactions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Abelson, H. & DiSessa, A.: Turtle geometry. Cambridge, MA: MIT Press 1980
Anderson, J.: Coin-turning: Anatomy of an investigation. Mathematics Teaching, Ncs 131–132, 8-11 and 38-42 (1990)
Barclay, T., Martin, K., & Riordon: A nodal-land investigation. The Computing Teacher, Vol. 13, nc 6, 20–22 (1986)
Bell, A. W., Costello, J., & Kucheman, D.: Research on learning and teaching. Windsor: NFER-Nelson 1983
Cockcroft, W. H.: Mathematics counts. London: HMSO 1981
Davis, P. J. & Hersh, R.: The mathematical experience. Boston: Birkhauser 1980
Hadamard, J.: The psychology of invention in the mathematical field. Princeton: Princeton University Press 1945
Kissane, B.: Mathematical investigation: Description, rationale and example. Mathematics Teacher, 81, 520–528 (1988)
Lawler, R. W.: Extending a powerful idea. MIT Logo Memo 58, 1980
NCTM: Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM 1989
Papert, S.: Mindstorms: Children, computers and powerful ideas. New York, NY: Basic Books 1980
Ponte, J., & Carreira, S.: Spreadsheet and investigational activities: A case study of an innovative experience (In this volume), 1991
Ridgway, J.: Assessing mathematical attainment. Windsor: NFER-Nelson 1988
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ponte, J.P., Matos, J.F. (1992). Cognitive Processes and Social Interactions in Mathematical Investigations. In: Ponte, J.P., Matos, J.F., Matos, J.M., Fernandes, D. (eds) Mathematical Problem Solving and New Information Technologies. NATO ASI Series, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58142-7_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-58142-7_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63483-3
Online ISBN: 978-3-642-58142-7
eBook Packages: Springer Book Archive