The design of textbooks and their influence on students’ understanding of ‘proof’ in lower secondary school


Fujita, Taro, Jones, Keith and Kunimune, Susumu (2009) The design of textbooks and their influence on students’ understanding of ‘proof’ in lower secondary school. In, Fou-Lai Lin, Feng-Jui Hsieh, Gila Hanna and Michael de Villiers (eds.) Proceedings of the ICMI Study 19 Conference: Proof and Proving in Mathematics Education. Taipei, Taiwan, National Taiwan Normal University, 172-177.

Download

[img] PDF - Publishers print
Download (344Kb)

Description/Abstract

In this paper we report on our analysis of textbooks commonly used for teaching students about proof in geometry in lower secondary school in Japan. From our analysis we found that, as expected from the curriculum specification, deductive reasoning is prominent in Japanese textbooks. Yet the way that proof and proving is presented in these textbooks shows geometry as a very formal subject for study, one that omits to illustrate convincingly for students the difference between formal proof and experimental verification. As such, we argue that an improvement in textbook design is likely to involve providing students with more effective instructional activities so that they appreciate more fully the notion of ‘generality of proof’.

Item Type: Book Section
ISBNs: 9789860182101 (paperback)
Related URLs:
Keywords: jones, keith, southampton, textbook, instruction, pedagogy, strategies, proof, secondary school, students, icmi, conference, proving, mathematics education
Subjects: L Education > LB Theory and practice of education > LB1603 Secondary Education. High schools
L Education > LB Theory and practice of education > LB2361 Curriculum
Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Education > Mathematics and Science Education
Faculty of Social and Human Sciences > Southampton Education School > Mathematics & Science Education
ePrint ID: 72264
Date Deposited: 04 Feb 2010
Last Modified: 27 Mar 2014 18:51
Publisher: National Taiwan Normal University
URI: http://eprints.soton.ac.uk/id/eprint/72264

Actions (login required)

View Item View Item