ERIC Number: EJ1147788
Record Type: Journal
Publication Date: 2016
Abstractor: As Provided
The Role of Expository Writing in Mathematical Problem Solving
Craig, Tracy S.
African Journal of Research in Mathematics, Science and Technology Education, v20 n1 p57-66 2016
Mathematical problem-solving is notoriously difficult to teach in a standard university mathematics classroom. The project on which this article reports aimed to investigate the effect of the writing of explanatory strategies in the context of mathematical problem solving on problem-solving behaviour. This article serves to describe the effectiveness of using writing as a tool for deeper engagement with mathematical problems. Students' claims about, and tutor observations of, problem-solving behaviour were analysed through the lens of Piaget's theory of cognitive development. Examples of enhanced problem-solving behaviour are presented as well as reports from student interviews that writing "forces" deeper engagement. The analysis of students' work and their reflections indicated that writing about problem-solving processes potentially resulted in a cognitive perturbation when students were forced to confront their incomplete understanding (and hence their unstable knowledge structures) and therefore had to achieve a deeper level of understanding in order to adequately describe the solution process.
Descriptors: Expository Writing, Mathematical Logic, Problem Solving, Foreign Countries, College Freshmen, Cognitive Development, Conflict, Interviews, Learning Theories, Outcomes of Education, Instructional Effectiveness
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A
Identifiers - Location: South Africa