Problem posing for and through investigations in a dynamic geometry environment

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This chapter analyzes three different types of problem posing associated with geometry investigations in school mathematics, namely (a) problem posing through proving; (b) problem posing for investigation; and (c) problem posing through investigation. Mathematical investigations and problem posing which are central for activities of professional mathematicians, when integrated in school mathematics, allow teachers and students to experience meaningful mathematical activities, including the discovery of new mathematical facts when posing mathematical problems. A dynamic geometry environment (DGE) plays a special role in mathematical problem posing. I describe different types of problem posing associated with geometry investigations by using examples from a course with prospective mathematics teachers. Starting from one simple problem I invite the readers to track one particular mathematical activity in which participants arrive at least at 25 new problems through investigation in a DGE and through proving.

Original languageEnglish
Title of host publicationMathematical Problem Posing
Subtitle of host publicationFrom Research to Effective Practice
Place of PublicationDordrecht, the Netherlands
PublisherSpringer Netherlands
Pages373-391
Number of pages19
ISBN (Electronic)9781461462583
ISBN (Print)9781461462576
DOIs
StatePublished - 1 Jan 2015

Bibliographical note

Publisher Copyright:
© Springer Science+Business Media New York 2015.

Keywords

  • Investigations in a dynamic geometry environment
  • Multiple proof tasks
  • Problem posing for investigation
  • Problem posing through investigation
  • Problem posing through proving
  • Teacher knowledge and skills

ASJC Scopus subject areas

  • Social Sciences (all)

Fingerprint

Dive into the research topics of 'Problem posing for and through investigations in a dynamic geometry environment'. Together they form a unique fingerprint.

Cite this