Development of Learning Model Based on Cognitive Processes in Mathematical Investigation

Abstract

A mathematical investigation is a scientific thinking activity that needs to be developed in learning. This study aims to construct a learning model based on the cognitive process of mathematical investigation (CPMI). Activities in the mathematical investigation have 4 stages of cognitive processes, namely specializing, conjecturing, justifying, and generalizing. Model construction includes the preparation of the model book, learning syntax, and lesson plans. This model has a learning syntax which is divided into six stages, namely (1) introducing of mathematical investigation task, (2) trying special cases individually (specializing), (3) work in a group to make conjectures, justification, and generalization, (4) presenting the group discussion results, (5) reviews, and (6) conclusions and follow-up. The constructed model was validated by 5 mathematics education experts. The validation results concluded that the CPMI learning model is valid with minor revision. The advantage of the CPMI learning model is that it creates an academic activity that supports the improvement of students' problem-solving abilities.