有效的学习材料应能体现数学知识的生活性,激发学生学习的积极性,揭示知识形成的过程性,注重学生发展的差异性,诱发数学知识的思考性。只有这样的学习材料,才能更好地激励学生的学习积极性,激发学生的学习自信心,体会数学的探索过程,获得情感、知识、能力的全面发展,培养学生的创新意识和创造能力。 Effective learning materials should be able to reflect the life of mathematical knowledge, to stimulate students’ enthusiasm for learning, to reveal the process of knowledge formation, pay attention to the differences of student development, and induce the thinking of mathematical knowledge. Only such learning materials can better motivate students’ enthusiasm for learning, stimulate students’ self-confidence in learning, understand the process of mathematics exploration, acquire comprehensive development of emotion, knowledge and abilities, and cultivate students’ innovative awareness and creativity.