Investigation And Research On The Core Concept Of Mathematics In Senior High School And Its Teaching

Since the new education curriculum reform, quality education has guided the work of classroom teachers teaching. School education changes quietly in terms of form, pattern, ideas, etc..However, during the Educational Practice I found that many schools too much emphasis on form, ignoring the nature of mathematics teaching.Especially in teaching concepts, kick the tires and not speak the whole story, so that students know these, but I do not know why.Conceptual understanding of mathematics teachers themselves are biased,they entangle in some detail.This will dilute the meaning of mathematical concepts, ignoring the role of the foundation of mathematical concepts, reducing the efficiency of classroom teaching, wasted the opportunity to enhance students’ cultural literacy in mathematics.So in the current high school mathematics mandatory textbooks, which can serve as the key concepts of mathematical concepts? How to define? What kind of relationship with the general concept of context? What are the key concepts of teaching mode? And what is the difference with the general concept teaching? What kind of role in the history of mathematics in the teaching of the key concepts? I mainly research question above in renjiao Al-5.I used the literature analytic method summarizes the key concepts of mathematics research status.In view of the "key" of relativity, I put high school mathematics knowledge into "algebra", "geometric" "Probability and Statistics", research key concepts and key concepts system of the module,And proposed the standards to define the key concepts of high school mathematics:1, plays an important role in the required courses in high school mathematics, in the trunk position;2, in the module, or generate other concepts, or have close contact with other concepts;3, play an irreplaceable role in high school students’math; 4, meet the the level of awareness of high school students, is on necessary part of logical thinking.Then use questionnaires, interviews,get the key concepts of mathematics option from the teachers and students of point of view.with literature and analysis,finalize "function", "vector" for the "key concept of algebra" module,"Slope" "sine and cosine function" "skew lines" as the key concept of "geometric" module "random events" "probability" for "Probability and Statistics" key concept of the module, and make the key of the concept of network diagram.Finally, I suggest for teaching key concepts.First, pay attention to the key concepts of mathematics teaching. Second, the introduction of the key concepts of mathematics stage, select the appropriate history of mathematics material, combined with today’s real life, to stimulate student interest.Third using knowledge to strengthen the interpretation of the history of mathematics key concepts. Fourth, the use of mathematical history, concept maps and other means to help build the key concepts of the system. Fifth, take advantage of examples on the key concepts, to consolidate the concept.