Abstract

This study aims to design a system of objective multiple-choice exercises for teaching fractions in Grade 4 with the support of artificial intelligence (AI), thereby developing students’ mathematical thinking and reasoning competencies. Based on a review of the theoretical foundations of AI, objective multiple-choice exercises, and mathematical thinking and reasoning competencies, the study proposes a set of design principles and a six-step design process. The exercise system covers six content areas within the topic of fractions: recognizing and representing fractions, identifying equivalent fractions, comparing fractions, simplifying fractions, finding common denominators, and solving real-world problems involving fractions. The findings indicate that AI can effectively support question development, distractor construction, and the diversification of learning materials. The initial pedagogical experiment demonstrates the feasibility of the proposed exercise system in enhancing teaching effectiveness and contributing to the development of mathematical thinking and reasoning competencies among Grade 4 students.

Keywords: Artificial intelligence (AI), exercise system design, fractions, Grade 4, objective multiple-choice exercises.