| With the development of educational informatization,micro-lecture,as a new type of network teaching resource,is increasingly being paid attention by educators.The Outline of the National Medium and Long-Term Education Reform and Development Plan(2010-2020)pointed out that it is necessary to strengthen the development and application of the quality education resources,develop online learning curriculum,establish an open and flexible public service platform on education resources,and promote the popularization and public sharing of quality education resources.Due to the current design of mathematics micro-lecture lacking of the specialized theoretical guidance,it is easy to present problems such as improper presentation of teaching content and unreasonable design of teaching activities,etc,which would make difficulty to improve students’ learning effectiveness and learning efficiency.Based on this,this study attempts to optimize the teaching design of mathematics formulas micro-lecture under the learning concept of multi-representations,in order to improve the effectiveness of micro-lecture.This study mainly elaborated the research result from two aspects of theoretical research and practical research :In theoretical research,the study first outlined the related researches of micro-lecture,attempted to summarize the concepts of micro-lecture and mathematics formulas,and combed the related research status of the design and application of micro-lecture.Then,according to the learning concept of multi-representations,the strategies of optimized design of the mathematical formula micro-lecture are discussed,such as diversified representation information,Dynamic Multiple-relation,visualized cognitive process and clearly-identified cognitive results,and provide the practical application of strategies in real cases.Finally,taking the Pythagorean Theorem Micro-lecture as an example,this study shows that the class would be optimized by the strategies of optimized design of the mathematical formula micro-lecture.In practical research,the Pythagorean Theorem Micro-lecture,which is mainly designed with optimization strategies,is applied to teaching practice.Given priority to the teaching experiment,questionnaire is complementary,to test the influence of the micro-lecture designed under this strategy on students’ mathematics learning process and learning results.Research shows that,compared with the control class:(1)The experimental class students’ math grades have improved significantly.(2)The experimental class students’ cognitive loads have reduced effectively.(3)The experimental class students’ learning efficiency has improved significantly.(4)The experimental class students have a greater positive effect on mathematical learning process variables such as mathematical understanding. |