Gaining Mathematical Understanding: The Effects of Creative Mathematical Reasoning and Cognitive Proficiency.

ABSTRACT: In the field of mathematics education, one of the main questions remaining under debate is whether students' development of mathematical reasoning and problem-solving is aided more by solving tasks with given instructions or by solving them without instructions. It has been argued, that providing little or no instruction for a mathematical task generates a mathematical struggle, which can facilitate learning. This view in contrast, tasks in which routine procedures can be applied can lead to mechanical repetition with little or no conceptual understanding. This study contrasts Creative Mathematical Reasoning (CMR), in which students must construct the mathematical method, with Algorithmic Reasoning (AR), in which predetermined methods and procedures on how to solve the task are given. More

SUBMITTER: Jonsson B 

PROVIDER: S-EPMC7775304 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature