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数学猜想,实际是一种数学想象,是人的思维在探索数学规律和本质时的一种策略,是建立在事实和已有经验基础上的一种假定,是一种合理推想。数学方法理论的倡导者波亚利曾说:“在数学的领域中,猜想是合理的、值得尊重的、是负责任的态度。”学生在猜想过程中,能产生一种较大跳跃性的思维,提高推理能力,培养数学思维。长期以来,我国教育界过分强调数学的严谨性和科学性,而轻视了对学生猜想能力的培养,造成了学生在解题中谨小慎微、想象力贫乏、创造力低下的现象。所以在数学教学中,应鼓励学生大胆提出猜想,创新探索地学习数学。
Mathematical conjecture is actually a kind of mathematical imagination. It is a kind of tactics when human thinking explores the laws and essences of mathematics. It is a kind of presumption based on facts and existing experiences. It is a reasonable presumption. Paulylli, an advocate of mathematical method theory, once said: “In the field of mathematics, the conjecture is reasonable and worthy of respect and it is a responsible attitude.” Students can make a big jump in their conjecture Sexual thinking, improve reasoning ability, develop mathematical thinking. For a long time, the educational circles of our country have overemphasized the rigor and scientific nature of mathematics, while they have neglected the cultivation of students’ ability of conjecture, resulting in the cautiousness, lack of imagination and low creativity of students in solving problems. Therefore, in mathematics teaching, students should be encouraged to make bold conjecture, to explore new ways to learn mathematics.