Research On Strategies For Improving Mathematical Abstraction And Logical Reasoning Literacy In High School Mathematics

Since the promulgation of the new version of the General High School Mathematics Curriculum Standards(hereinafter referred to as the "New Curriculum Standards"),many schools across the country have responded to the call of the country to carry out corresponding curriculum reforms.The author found through analysis of the national new college entrance examination papers in recent years that the new college entrance examination questions have undergone significant changes compared to before.Simply put,the knowledge of mathematical examination is becoming more and more flexible,and the situation is becoming more and more complex.It has shifted from solving a purely mathematical problem to solving problems that may arise in real life.Therefore,it is not advisable for students to rely on blindly brushing questions to achieve high scores.Improving students’ mathematical abilities in all aspects is the right path,and this precisely requires teachers to consciously cultivate students’ mathematical thinking habits in daily mathematics teaching,so that they can use mathematical methods to solve problems.Due to the traditional teaching mode no longer being able to meet the requirements of the new college entrance examination,this article first consulted relevant literature,then referred to the views of relevant experts and scholars,and then summarized some key issues in the research of teaching strategies related to core competencies in mathematics,providing theoretical support for subsequent research.The author takes the efficient classroom teaching mode adopted by Jianli No.1 Middle School as the starting point,interviews experienced teachers and sets up questionnaires to investigate students’ learning situation.Based on students’ feedback and their own teaching reflection,the author extracts effective strategies to cultivate students’ core mathematical literacy,making mathematics classroom teaching more in line with the requirements of the new college entrance examination,thereby improving classroom efficiency and teaching quality.One is the reasonable design and use of the guidance plan,which guides students to read the textbook carefully by setting hierarchical problems,gradually abstracting relevant mathematical concepts or deducing relevant formulas,thereby improving students’ core literacy in mathematical abstraction and logical reasoning.The second is students’ presentation and evaluation,which deepen the application and understanding of knowledge through self-evaluation and mutual evaluation.In the process of presenting and solving problems,it enhances the ability to express and communicate logically,which can effectively cultivate students’ core literacy in logical reasoning and mathematical operations.After describing separately,this article vividly demonstrates the practical application of teaching strategies to enhance the core literacy of mathematics subjects in mathematics classrooms using the teaching example of "the induction formula of trigonometric functions".Finally,a comparative experiment was designed to draw conclusions based on the initial results of implementing two teaching strategies,and to analyze the shortcomings and future prospects of this study.