Cognitive models: The missing link to learning fraction multiplication and division

摘要

This quasi-experimental study aims to streamline cognitive models on fraction multiplication and division that contain the most worthwhile features of other existing models. Its exploratory nature and its approach to proof elicitation can be used to help establish its effectiveness in building students’ understanding of fractions as compared to the traditional algorithmic way of teaching, vis-à-vis the students’ negative notions about learning fractions. Interestingly, the study showed the benefits and drawbacks of using these cognitive models in the teaching and learning of mathematics.