The Phenomenon of False Assumption in Historical and Educational Texts

1Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

This article describes two heuristic strategies for problem solving: the use of false assumption strategy and the use of double false assumption strategy. Both of these strategies have their roots deep in history. In this article, we define these two strategies and illustrate their use in a problem developed by Frances Pellos. The article provides an overview of occurrences of these two strategies in various mathematical and educational texts. The texts show clearly that both of these strategies played a significant role in mathematics education in the past. We present some examples from concrete historical documents, which we use later for the preparation of a teaching experiment. We also present the conclusions of an experiment conducted on three lower secondary schools in the Czech Republic, the goal of which was to test the applicability of the use of false assumption strategy as a propaedeutic to solving word problems using equations.

Cite

CITATION STYLE

APA

Přibyl, J., Eisenmann, P., & Gunčaga, J. (2018). The Phenomenon of False Assumption in Historical and Educational Texts. Science and Education, 27(7–8), 737–767. https://doi.org/10.1007/s11191-018-0005-9

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free