Action research on visualization learning of mathematical concepts under personalized education idea: Take learning of geometrical concepts of elementary math for example

Abstract

Mathematical concepts are usually abstract and logic-related. Pupils need to master a lot of mathematical concepts to smoothly solve mathematical problems and conduct mathematical reasoning and judgments. However, at the transition stage from specific image thinking to abstract logic thinking, pupils have difficulties to understand abstract mathematical concepts. Based on learning activity theory, this paper proposed five activities of visualization learning, namely, situation, thinking, interaction, lucubration and evaluation. It aims to cultivate the pupil’s abilities on independent learning, mathematical thought, cooperative exploration, acquiring and restructuring of knowledge, and proposing and solving problems. Through two rounds of action researches, these were applied to learning geometrical concepts of elementary mathematics. The evaluation results showed that the visualization learning of elementary mathematics can improve learning abilities.