Epistemological Foundations of Mathematical Experience

  • Leslie P. Steffe

Part of the Recent Research in Psychology book series (PSYCHOLOGY)

About this book

Introduction

On the 26th, 27th, and 28th of February of 1988, a conference was held on the epistemological foundations of mathematical experience as part of the activities of NSF Grant No. MDR-8550463, Child Generated Multiplying and Dividing Algorithms: A Teaching Experiment. I had just completed work on the book Construction of Arithmetical Meanings and Strategies with Paul Cobb and Ernst von Glasersfeld and felt that substantial progress had been made in understanding the early numerical experiences of the six children who were the subjects of study in that book. While the book was in preparation, I was also engaged in the teaching experiment on mUltiplying and dividing algorithms. My focus in this teaching experiment was on investigating the mathematical experiences of the involved children and on developing a language through which those experiences might be expressed. However, prior to immersing myself in the conceptual analysis of the mathematical experiences of the children, I felt that it was crucial to critically evaluate the progress that we felt we had made in our earlier work. It was toward achieving this goal that I organized the conference. When trying to understand the mathematical experiences of a child, one can do no better than to interact with the child in a mathematical context guided by the intention to specify the child's current knowledge and the progress the child might make.

Keywords

Lernen Mathematica Mathematik/Lernmethoden algebra arithmetic awareness epistemology experience function knowledge learning logic mathematics psychology recursion

Editors and affiliations

  • Leslie P. Steffe
    • 1
  1. 1.College of Education, Mathematics Education DepartmentThe University of GeorgiaAthensUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-3178-3
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-97600-6
  • Online ISBN 978-1-4612-3178-3
  • Series Print ISSN 1431-7532
  • About this book