From Exploration to Proof Production

Feng Jui Hsieh, Wang Shian Horng, Haw Yaw Shy

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

This chapter focuses on four topics: how exploration, especially hands-on exploration with concrete materials, is integrated into the teaching of proof in Taiwan; different ways of interpreting exploration; exploration’s intrinsic features and value in the context of proving; and a proposed conceptual model, the ‘EP-spectrum’, for the relationships amongst exploration, problem-solving, proving and proof in the classroom. Furthermore, the chapter raises some ideas requiring future research, such as the primary factors contributing to the progression from exploration to proof production and the integration of exploration into the context of proving.

Original languageEnglish
Title of host publicationNew ICMI Study Series
PublisherSpringer
Pages279-303
Number of pages25
DOIs
Publication statusPublished - 2012 Jan 1
Externally publishedYes

Publication series

NameNew ICMI Study Series
Volume15
ISSN (Print)1387-6872
ISSN (Electronic)2215-1745

Keywords

  • Auxiliary Line
  • Divergent Thinking
  • Dynamic Geometric Software
  • Exploration Stage
  • Mathematics Textbook

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Education

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