Middle-grade preservice teachers’ mathematical problem solving and problem posing

Roslinda Rosli, Mary Margaret Capraro, Dianne Goldsby, Gonzalezy Gonzalez Elsa, Robert M. Capraro, Anthony J. Onwuegbuzie

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

13 Citations (Scopus)

Abstract

Empirical data were gathered from 51 middle-grade preservice teachers who were randomly assigned into one of two groups. The fi rst group solved a task and then posed new problems based on the given fi gures, and the second group completed these activities in reverse order. Rubrics were developed to assess the written responses, and then thoughts and concerns related to problem-posing experiences were collected to understand their practices. Results revealed that the preservice teachers were profi cient in solving simpler arithmetic tasks but had diffi culty generalizing and interpreting numerals in an algebraic form. They were able to pose some basic and reasonable problems and to consider important aspects of mathematical problem solving when generating new tasks. Thus, teacher educators should provide substantial educational experiences by incorporating both problem-solving and problem-posing activities into engaging instruction for preservice teachers.

Original languageEnglish
Title of host publicationMathematical Problem Posing
Subtitle of host publicationFrom Research to Effective Practice
PublisherSpringer New York
Pages333-354
Number of pages22
ISBN (Electronic)9781461462583
ISBN (Print)9781461462576
DOIs
Publication statusPublished - 1 Jan 2015
Externally publishedYes

Keywords

  • Engagement
  • Inservice teacher
  • Instruction
  • Mathematics
  • Middle-grade level
  • Mixed method
  • Patterns
  • Preservice teacher
  • Problem generation
  • Problem posing
  • Problem reformation
  • Problem solving
  • Teacher education

ASJC Scopus subject areas

  • General Social Sciences

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