Research On Derivative Teaching Design Based On Mathematical Core Literacy

The curriculum standards advocate the development of students' mathematical core literacy.The cultivation of students' core literacy mainly depends on the classroom.The chapter on derivatives is comprehensive and contains many mathematical ideas.It is an important material for developing students' core literacy in mathematics.In order to promote the implementation of the core literacy of mathematics in the classroom,this research is based on the mathematical core literacy and discusses the teaching design of derivatives.Use the literature research method to sort out the connotation and cultivation of core literacy,the existing research results of derivative teaching and related theoretical foundations.Use the interview survey method to analyze the current situation of derivative teaching and teachers' understanding of mathematics core literacy and the current situation of classroom training.It is found that the current derivative teaching still attaches great importance to the application of concepts,and most front-line teachers don't have deep understanding of core literacy,and the infiltration of core literacy in real mathematics classroom is still insufficient.Based on the above analysis and investigation,this paper studies the relevant teaching elements,teaching objectives,teaching evaluation and teaching process of derivative teaching design based on mathematical core literacy,and constructs teaching strategies suitable for new teaching and exercise courses :(1)For new lectures,we should focus on core literacy and highlight key tasks;Create problem situations to activate students' thinking and motivation;Pay attention to learning process and learning experience;Focus on timely feedback to improve mathematical core literacy;Focus on knowledge structure and cultivate students' reflective ability.(2)For exercise courses,it is necessary to strengthen the examination of the problem and understand the essence of the problem;form the idea of solving the problem based on the basic idea;implement the problem-solving plan and strengthen the monitoring of the problem;be good at summarizing and cultivate the habit of reflection;correct beliefs and establish confidence in problem solving.Finally,based on the above analysis and research,three classes of high school derivative content are selected for teaching design,from theory to practice,to ensure the effective implementation of mathematics core literacy in the classroom.