高校数学专业课程的教学创新——基于“数学现实—数学化—再创造”的探索与实践

Teaching Innovation of Mathematical Courses in Universities:Base on“Mathematical Reality-Mathematicization-Recreate Mathematics”

基于著名数学教育家弗赖登塔尔“数学现实—数学化—再创造”的数学教育理论,针对数字专业课程教学中数学现实难以体现、数学化能力提升困难、再创造实现困难等问题,介绍了课程团队在数学专业课程上的教学创新实践。课程团队以打造师生共同体为教学理念,对应数学现实在教学内容上进行课程思政和学科前沿融入的教学内容重构,针对数学化能力提升在教学过程中构建教赛研三维一体化,为实现再创造创新综合考核评价。通过多年的探索与实践,课程育人效果得到显著提升,在学生培养与教师成长环节取得一系列成果,相关教学成果得到了推广和应用,推动了数学课程教学“四个转变”,即从“教”到“育”的转变,从“成才”到“成群”的转变,从“重基础”到“基础应用并重”的转变,从“课堂”到“课外”再到“专业发展”的转变。

Base on the teaching theory“Mathematical Reality—Mathematicization—Recreate Mathematics”of famous mathematical educationist H.Freudenthal,our team carries out the teaching reform on mathematical courses to solve the problems during the teaching,which include the difficulty to link mathematical reality,the difficulty to improve the ability of mathematicization,the difficulty to recreate mathematics.Our team aims to build the community of teachers and students and reconstruct the teaching content to realize curriculum ideology and politics and to integrate the discipline frontier.Moreover,the team constructs the three-dimensional integration of teaching-competition-research in the teaching process for the improvement of mathematical ability,so as to realize the comprehensive assessment and evaluation of creative innovation.Through years of exploration and practice,curriculum education effect is significantly improved,a series of achievements in the student training and teacher growth are made,and four changes are promoted in mathematics course teaching including changes from teaching to education,from individual success to success of groups,from focus on the foundation to the balance between theories and applications,from in-class teaching to out-class teaching and then to the professional development.