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数学是研究现实世界数量关系和空间形式的科学。而逻辑学是研究思维形式及其规律的科学。两者看似毫不相干,但其实有着紧密的联系。逻辑学中给概念下定义的规则能指导教师更准确、完美地叙述概念的定义,准确地揭示出概念的内涵和外延,避免学生由于概念不清而导致出现逻辑错误。当学生出现概念上的错误时,教师应当对错误进行逻辑的分析,弄清错误的实质,分析这些错误教给学生。作为中学生,要学好数学,首要的是认识到逻辑学知识对于数学学习的必要性和重要性。
Mathematics is a science that studies the quantitative relations and spatial forms of the real world. Logic is the science that studies the form of thinking and its laws. Both seemingly irrelevant, but in fact there is close contact. Logic rules to define the concept under the guidance of teachers can be more accurate and perfect description of the concept of definition, accurately reveal the concept of connotation and denotation, to avoid the students as a result of unclear concepts lead to logical errors. When a student presents a conceptual mistake, the teacher should make a logical analysis of the mistake, find out the true nature of the error, and analyze the mistakes to teach the student. As a middle school student, to learn mathematics, the most important thing is to recognize the necessity and importance of logical knowledge for maths learning.