Mathematical Problem Solving in Choice-Affluent Environments

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

Abstract

This chapter presents a proposal for an exploratory confluence model of mathematical problem solving in different instructional contexts. The proposed model aims at bridging the knowledge of how problem solving occurs and the knowledge of how to enhance problem solving. The model relies of the premise that a key solution idea to a problem is constructed as a result of shifts of attention stipulated by the solver's individual resources, interaction with peers, or with a source of knowledge about the solution. The exposition converges to the conclusion that successful problem solving is likely to occur in choice-affluent learning environments, in which the solvers are empowered to make informed choices of a challenge to cope with, problem-solving schemata, a mode of interaction, an extent of collaboration, and an agent to learn from. The theoretical argument is supported by an example from an empirical study.

Original languageEnglish
Title of host publicationINVITED LECTURES FROM THE 13TH INTERNATIONAL CONGRESS ON MATHEMATICAL EDUCATION
EditorsG Kaiser, H Forgasz, M Graven, A Kuzniak, E Simmt, B Xu
PublisherSpringer Basel AG
Pages307-324
Number of pages18
ISBN (Print)978-3-319-72169-9
DOIs
StatePublished Online - 6 Feb 2018
Event13th International Congress on Mathematical Education (ICME) - Hamburg, Germany
Duration: 24 Jul 201631 Jul 2016

Publication series

NameICME-13 Monographs
ISSN (Print)2520-8322

Conference

Conference13th International Congress on Mathematical Education (ICME)
Country/TerritoryGermany
CityHamburg
Period24/07/1631/07/16

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