Rethinking Problem-Posing Situations: A Review. (3rd April 2021)

• Record Type: Journal Article
• Authors: Baumanns, Lukas; Rott, Benjamin
• Is Part Of: Investigations in mathematics learning. Volume 13:Number 2(2021)
• Page Start: 59
• Page End: 76
• Publication Date: 2021-04-03
• Subjects: Problem posing -- problem-posing situations -- review; Mathematics -- Study and teaching -- Periodicals; 510.71
• DOI: 10.1080/19477503.2020.1841501
• Languages: English
• ISSNs: 1947-7503

Abstract

ABSTRACT: In research on mathematical problem posing, a broad spectrum of different situations is used to induce the activity of posing problems. This review aims at characterizing these so-called problem-posing situations by conducting three consecutive analyses: (1) By analyzing the openness of potential problem-posing situations, the concept of "mathematical posing" is concretized. (2) The problem-posing situations are assigned to the categories free, semi-structured, and structured by Stoyanova and Ellerton to illustrate the distribution of situations used in research. (3) Finally, the initial problems of the structured problem-posing situations are analyzed with regard to whether they are routine or non-routine problems. These analyses are conducted on 271 potential problem-posing situations from 241 systematically gathered articles on problem posing. The purpose of this review is to provide a framework for the identification of differences between problem-posing situations.