“Guide-explain-study-think” teaching mode integrated with curriculum ideology and politics exemplified by Pythagorean theorem in mathematical culture

Mathematics culture curriculum is the main front for cultural education and improvement of cultural accomplishment. By means of full exploration of the historical development of mathematics, cultural allusions, famous works, mathematical theorems, science and technology mathematics and timely integration of the ideological and political elements, it can effectively improve the core qualities in students and accomplish the fundamental task of fostering virtues and cultivating people. Taking the Pythagorean theorem in mathematics culture as an example, this paper adopts the teaching mode of "guiding, explaining, researching and thinking", and integrates the online with the off-line teaching methods step by step before, during and after class to incorporate the "curriculum ideological and political thinking" in mathematics culture into practice, so as to make practical exploration for the construction of the disciplinary curriculum ideology and politics.