How to Integrate Ideological and Political Education into Mathematics Course of Vocational Education

With the increasing enrollment of general higher vocational colleges every year, the inconsistency between the knowledge level and ability of the enrolled students and ideological and political education hinders the realization of the teaching purpose of the school to a great extent. Advanced mathematics is a compulsory basic course for college students and an important subject for realizing the teaching purpose. In order to achieve the teaching purpose and improve the teaching quality and level of mathematics in higher vocational colleges, we must deepen the reform of teaching contents in advanced mathematics courses in colleges, and integrate mathematical knowledge with ideological and political education organically, giving full play to the teaching characteristics of advanced mathematics courses while fulfilling the ideological and political education for students. Moreover, ideological and political education is also combined with interactive advantages by means of interactive teaching. This paper briefly discusses how to integrate advanced mathematics course with ideological and political education. By analyzing the actual teaching cases of ideological and political education and advanced mathematics courses, the content of classroom teaching is discussed.

Advanced Mathematical Thinking dalam Pembelajaran Matematika Tingkat Lanjut

Students' Advanced Mathematical Thinking in advanced mathematics courses were still relatively low. This happens because the lecturer did not provide opportunities for students to be able to construct their own mathematical concepts and students were still weak in mastering concepts in prerequisite courses. The lecturer is expected to provide opportunities for students to be active in learning and be able to construct their own advanced mathematical concepts through the implementation of innovative learning based on constructivism to improve students' Advanced Mathematical Thinking in advanced mathematics courses. The purpose of this literature study is to find out more about advanced mathematical thinking and its components (representation, abstraction, creative thinking, and proof) in advanced mathematics learning and how to develop it.

Mathematics Majors' Diagram Usage When Writing Proofs in Calculus

We report on a study in which we observed 73 mathematics majors completing 7 proof construction tasks in calculus. We use these data to explore the frequency and effectiveness with which mathematics majors use diagrams when constructing proofs. The key findings from this study are (a) nearly all participants introduced diagrams on multiple tasks, (b) few participants displayed either a strong propensity or a strong reluctance to use diagrams, and (c) little correlation existed between participants' propensity to use diagrams and their mathematical achievement (either on the proof construction tasks or in their advanced mathematics courses). At the end of the report, we discuss implications for pedagogy and future research.