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教书就是将书本知识传授给学生,育人就是培养人,培养德智体美劳等全面发展的人.教书育人是一个不可分割的整体.教书必然要育人.学生在校学习期间正是世界观、人生观形成的初期,他们渴求知识,尊重有知识有才华的教师,甚至崇拜他们,模仿他们,因而教师在教学过程中表现出来的立场、观点、信仰、品格等都必然会对学生产生潜移默化的影响;同时,任何一门知识体系都必然建立在一定的世界观和方法论的基础上.例如思格斯说过“初等数学,即常数的数学,是在形式逻辑的范围内活动的,至少总的来说是这样;而变数的数学——其中最重要的部分是微积分——本质上不外是辩证法在数学方面的运用.”因而学生在学习书本知识的同的,必然会受到内含于知识的世界观和方法论的影响,数学教师在进行智育教育的同时,不可避免地,有意识或无意识地要对学生进行德育教育,这是不依人的意志转移的客观规律.那么,如何在数学教学中渗透德育教育呢?
Teaching is to impart knowledge of books to students, educating people is to cultivate people, fostering people who are all-round development, such as morality, body, art, etc. Teaching and educating people is an inseparable whole. Teaching is bound to educate people. Students learn during school In the early stages of the world and outlook of life, they were eager to acquire knowledge, respect teachers with knowledge and talent, and even admired them and imitated them. As a result, the positions, viewpoints, beliefs, and qualities that teachers showed in the teaching process were bound to generate for students. The influence of subtle influences; at the same time, any knowledge system must be based on certain worldviews and methodologies. For example, Spieth said that "elementary mathematics, that is, constant mathematics, is active within the scope of formal logic, at least In a nutshell, mathematics—the most important part of which is calculus—is essentially the use of dialectic in mathematics.” Therefore students who learn the same knowledge as books are bound to receive Influenced by the worldview of knowledge and methodology, mathematics teachers inevitably, consciously or unconsciously, need to perform Moral education is an objective law that does not follow the will of people. Then, how can moral education be penetrated in mathematics teaching?