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将数学命题策略进行详细的划分,可以分为四个大类。一是关联性的特征体系化、问题化和联系化的教学策略,二是语义性特征的同化和形成以及变式教学策略,三是应用性特征的结构化以及例题化和情境化的教学策略,最后一类是真理性特征的起疑、元认知以及提示语定向和设验教学策略。勾股定理是一门非常具有文化价值的数学知识,本文将从数学命题教学背景下对勾股定理的教学设计进行研究。勾股定理一共有三种证明方法,其中所蕴含的数学思想方法非常丰富。数学命题的课堂教学能够让学生更好的对数学的本质进行体验,有利于对各种数学技能进行培养。
The detailed division of mathematical proposition strategies can be divided into four major categories. The first is related to the systematization, problem-based and communicative teaching strategies of traits, the second is the assimilation and formation of semantic features and variant teaching strategies, and the third is the structuring of applied features and examples and contextualized teaching strategies. The last category is the suspicion, metacognition, and directional and instructional teaching strategies of the truth features. Pythagorean Theorem is a very mathematical knowledge of mathematics. This article will study the teaching design of Pythagorean Theorem from the background of mathematical proposition teaching. The Pythagorean theorem has a total of three methods of proof, which contain a wealth of mathematical ideas and methods. The classroom teaching of the mathematics proposition allows students to better experience the nature of mathematics, and is conducive to the training of various mathematical skills.