Study on the effects of learning examples through production in problem posing

Kazuaki Kojima, Kazuhisa Miwa, Tatsunori Matsui

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Problem posing is identified as an important activity in mathematics education. Although it is difficult for novice learners to pose diverse problems, they must do so. Such novices particularly have difficulty in appropriately composing mathematical structures of solutions when posing new problems. This paper discussed and experimentally studied an approach to support learning of problem posing as a production task. We designed support for learning by imitation of examples, in which learners reproduce problems presented as examples. That is expected to facilitate learners' understanding ideas used in generation of the examples, and to stimulate new idea generation in learners' own problem posing. We then verified the effects of learning an example through imitation, with the results indicating that learning by imitation can facilitate adaptation of ideas used in an example into learners' problem posing, whereas it cannot necessarily facilitate appropriate problem posing when they try to diversify.

Original languageEnglish
Title of host publicationProceedings of the 19th International Conference on Computers in Education, ICCE 2011
Pages86-90
Number of pages5
Publication statusPublished - 2011 Dec 1
Event19th International Conference on Computers in Education, ICCE 2011 - Chiang Mai, Thailand
Duration: 2011 Nov 282011 Dec 2

Publication series

NameProceedings of the 19th International Conference on Computers in Education, ICCE 2011

Conference

Conference19th International Conference on Computers in Education, ICCE 2011
CountryThailand
CityChiang Mai
Period11/11/2811/12/2

Keywords

  • Idea generation
  • Learning from examples
  • Mathematical learning
  • Problem posing
  • Solution strictures

ASJC Scopus subject areas

  • Education

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  • Cite this

    Kojima, K., Miwa, K., & Matsui, T. (2011). Study on the effects of learning examples through production in problem posing. In Proceedings of the 19th International Conference on Computers in Education, ICCE 2011 (pp. 86-90). (Proceedings of the 19th International Conference on Computers in Education, ICCE 2011).