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数学教学是数学思维活动的教学,数学思维能力受到个体数学概括水平、抽象水平及推理水平等因素的影响。因此数学思维能力的主要成分应包括数学概括能力、逻辑思维能力、直觉思维能力、数学问题解决能力以及数学创造性思维能力等要素。如何组织数学活动,激活学生思维?活动是形式,是数学内容的载体和实现目标的手段。要让学生自主地参与活动,通过让学生动手做、动脑想、动口说,使学生在活动中发现问题、探索求新,灵活运用知识解决问题,使其个性、潜能得以充分开发,数学能力、数学思想得到充分的发展。
Mathematical teaching is the teaching of mathematical thinking activities, mathematical thinking ability is subject to the level of individual mathematics summary, level of abstraction and reasoning level and other factors. Therefore, the main components of mathematical thinking ability should include mathematical abstraction ability, logical thinking ability, intuition thinking ability, mathematical problem solving ability and mathematical creative thinking ability and other factors. How to organize mathematics activities and activate students’ thinking? Activities are forms, carriers of mathematics content and means to achieve the goal. To enable students to participate in activities on their own initiative, by allowing students to do it, the brain think, move to say, so that students find problems in the activities, to explore new and flexible use of knowledge to solve problems so that their personality and potential to fully develop the ability of mathematics , Mathematical ideas have been fully developed.