Research On High School Plane Vector Unit Teaching Based On Big Ideas

As the core of curriculum and instructional design,big ieas has attracted wide attention around the world.Many countries or regions have written it into the guidance documents of curriculum design in different expressions.In the senior high school curriculum plan published in 2017,big ideas has been clearly mentioned,and it is emphasized that all subjects should take it as the core of curriculum and instructional design.At present,the theoretical research and practical exploration of big ideas are still in the starting stage,and the research of the mathematical subject field is also lacking.Therefore,it is of great theoretical and practical significance to carry out the research of big ideas of mathematical subject and its teaching practice.At present,the research on big ideas focuses on the theoretical level,including the connotation,expression form,classification,extraction strategy and path of big ideas,etc.The practical application of big ideas is rarely concentrated on the curriculum level,while the research on the discipline and unit level is relatively lacking.For some front-line teachers who understand the change of curriculum standards and the prospect of educational development,they hope to apply cutting-edge educational ideas to my classroom,but they don’t know how to do it because of the lack of appropriate training and case guidance.On the basis of the existing big ideas research,this paper studies the practical application based on big ideas from the unit level,hoping to show the extraction process of big ideas of mathematics discipline unit and the teaching design process based on big ideas to front-line teachers and education research experts,and solve the problem of "how to extract big ideas of unit and conduct teaching design based on the big ideas?In order to better solve the core problem of this research,this problem is further decomposed into three sub-problems:(1)What is the big ideas of "plane vector" unit?(2)How to carry out unit teaching design based on the big ideas?(3)What is the teaching effect of the unit based on the big ideas?By reading literature,studying curriculum standards and combining with the practical teaching experience of front-line teachers,the paper extracts the big ideas of plane vector unit as "vector is a research tool integrating form and number,and a bridge connecting geometry and algebra",divides the big ideas level,further formulates the unit teaching objectives and teaching evaluation,and provides the basis for the design of teaching activities.By refining the big ideas to get the core concept and the core task,further get the basic concept and the basic task,and take the basic concept and the basic task as the basis of the design of teaching evaluation and teaching activities.Considering the current teaching unit of ordinary high school in our country is class hour,in order to better implement the research of flat plane vector teaching unit based on big ideas,the unit teaching objective is decomposed into class hour teaching objective,and the designed teaching activities are decomposed into each class hour,and the teaching design of 20 class hours per class hour is obtained.Due to the length,only four teaching designs are presented in this paper,which can be used as reference for education and teaching experts and front-line teaching.In order to analyze the unit teaching effect based on big ideas,the paper designs a plane vector unit test volume and conducts a test on two classes.The results of the two classes are analyzed by means of quantitative analysis,which serves as the basis for judging the unit teaching effect based on big ideas.According to the results of quantitative analysis,the students in the experimental class have a good performance in the structure of knowledge and the understanding of theorems,indicating that the plane vector unit teaching based on the big ideas has an outstanding effect on helping students to construct their complete knowledge system,and students have a better grasp of the overall content of the unit.However,there are still some deficiencies in this study.On the one hand,there is much room for improvement in the concept of planar vector element and its hierarchical division.On the other hand,the object of unit teaching practice is the students in key middle schools,and the effect of unit teaching based on big ideas for students with poor foundation needs further research and discussion.