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《义务教育数学课程标准(2011年版)》提出,数学学习应当是现实的、有意义的、富有挑战性的,有利于学生主动地进行观察、实验、猜测、验证、推理与交流等数学活动。动手实践、自主探索与合作交流是学生学习数学的重要方式。由此可见,实践、猜想、验证,是建立数学学习思维、丰盈数学学习经验的有效手段。笔者近期听了这样一节课,其依据学生实际经验引入,通过实践、交流、验证,渐次建构数学模型的过程,
Compulsory Education Mathematics Curriculum Standard (2011 Edition) proposed that mathematics learning should be realistic, meaningful and challenging, which is conducive to students’ initiative in mathematics activities such as observation, experiment, speculation, verification, reasoning and communication. Hands-on practice, independent exploration and cooperation and exchange is an important way for students to learn mathematics. Thus, practice, conjecture, verification, is to establish mathematical learning thinking, an abundance of effective means of mathematical learning experience. I recently listened to such a class, which based on the actual experience of students introduced through practice, exchange, verification, and gradually build the mathematical model of the process,