Record Details

Constructing mental diagrams during problem-solving in mathematics


Field Value
Title Constructing mental diagrams during problem-solving in mathematics
Creator Mudaly, Vimolan
Subject Mathematics Education mathematical images; images; mental manipulations; problem-solving; visualisation
Description In mathematics, problem-solving can be considered to be one of the most important skills students need to develop, because it allows them to deal with increasingly intricate mathematical and real-life issues. Often, teachers attempt to try to link a problem with a drawn diagram or picture. Despite these diagrams, whether given or constructed, the student still individually engages in a private discourse about the problem and its solution. These discourses are strongly influenced by their a priori knowledge and the given information in the problem itself. This article explores first-year pre-service teachers’ mental problem-solving skills. The emphasis was not on whether they solved the problems, but rather on their natural instincts during the problem-solving process. The research shows that some students were naturally drawn to construct mental images during the problem-solving process while others were content to simply leave the question blank. The data were collected from 35 first-year volunteer students attending a second semester geometry module. The data were collected using task sheets on Google Forms and interviews, which were based on responses to the questions. An interpretive qualitative analysis was conducted in order to produce deeper meaning (insight). The findings point to the fact that teachers could try to influence how students think during the problem-solving process by encouraging them to engage with mental images.
Publisher AOSIS Publishing
Date 2021-11-29
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — Empirical
Format text/html application/epub+zip text/xml application/pdf
Identifier 10.4102/pythagoras.v42i1.633
Source Pythagoras; Vol 42, No 1 (2021); 8 pages 2223-7895 1012-2346
Language eng
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Rights Copyright (c) 2021 Vimolan Mudaly