Research On The Development And Application Of HPM Micro-course Based On The Cultivation Of Abstract Ability

Under the background of the release of the ’Compulsory Education Mathematics Curriculum Standard(2022 Edition)’(hereinafter referred to as the ’New Curriculum Standard’),how to implement its proposed key competence-oriented curriculum objectives,promote Chinese excellent traditional culture and create a reasonable information-based learning environment has become an increasingly concerned issue for scholars.Inspired by the theme conference on the history of mathematics and mathematics education at the 14 th International Conference on Mathematics Education,this paper combines the excellent traditional Chinese mathematics culture,uses the unique role of History & Pedagogy of Mathematics(HPM)in the cultivation of key competence,and carries out the research on the development and application of HPM micro-course based on the cultivation of abstract ability through the information form of microcourse.this paper mainly focuses on the following five aspects:(1)HPM micro-course design strategy based on abstract ability training;(2)Evaluation index and evaluation framework of HPM micro-course based on abstract ability training;(3)Explore the way selection of HPM micro-course into junior high school mathematics teaching process,and select appropriate topics for the choice of ways to combine with China’s traditional mathematics culture to develop cases;(4)In the development and application of cases,the cultivation of junior high school students’ abstract ability is integrated into the development and application of cases,including the consistency and development of abstract ability literacy at different stages;(5)After scoring the developed cases,the teaching is carried out,and the value of the developed HPM micro-course to the cultivation of students’ abstract ability is analyzed through the action research method.This paper first analyzes the research status and development trend of HPM and microcourse,and clarifies the research idea;Then,combined with the ’new curriculum standard’,HPM micro-course research framework and high school students’ mathematical abstract ability evaluation framework,the design strategy and evaluation of HPM micro-course based on abstract ability training are proposed;Then,using the proposed design strategy,combined with the three ways of integrating HPM micro-course into junior high school mathematics teaching process,the appropriate topics are selected to develop the cases of abstract ability training.And the first-line teachers are invited to evaluate after the development is completed to verify whether it can be applied to practical teaching;Finally,combined with the evaluation index and evaluation framework of HPM micro-course based on abstract ability training proposed in the third chapter,the action research method is used to analyze the value of HPM micro-course in the application of congruent triangle to the cultivation of students’ abstract ability.Through the above research,this paper draws the following conclusions:(1)HPM micro-course teaching promotes the cultivation of students’ abstract ability literacy;(2)HPM micro-course teaching deepens students’ understanding of knowledge;(3)HPM micro-course teaching improves students’ ideological and political literacy and interest in mathematics learning.