| Content: The moment is "high school math curriculum standards," the full implementation phase, the new curriculum reform of teaching put forward new demands, trigonometry and elementary functions as basic as the entrance of the compulsory elements, we can see its importance. Mathematics Teaching students to learn from the practical problems in trigonometry terms of the trigonometric functions to master unclear reasons, a lot is due to the existence of students in mathematics learning due to cognitive impairment. Cognitive impairment refers to the cognitive activity can not be a barrier to transcend it hidden in the cognitive activity itself, and with cognitive-behavioral co-exist. Mathematics education researchers from France, G..Brousseau introduction of mathematics education research, are now refers to the number of learners have the knowledge, that knowledge is to learn and understand the foundation, but it contains incomplete or incorrect ingredients, and therefore the establishment of new knowledge and use of obstruction. As the new curriculum reform soon after it came on a lot of research in this regard is the theoretical expression for the new curriculum reform teaching in the study is also unusual. Therefore, as first-line teachers, with teaching practice, in-depth study of middle school students to solve mathematical problems trigonometric cognitive impairment has a good practical significance, specifically to understand the actual situation of students situation, teachers can be a good use of appropriate teaching tactics, and enhance teaching effectiveness and thus enhance students knowledge and mastery of trigonometric functions.This paper first analyzes the New Curriculum trigonometric part of the new changes and new requirements as well as their entrance point in the investigation, which studies the content of teaching and learning for the trigonometric functions is important. Then cognitive theory was expounded, the main analysis of the concept of cognitive impairment, characteristics and students in learning how to exist in both the cognitive obstacles to learning trigonometry What adverse impact. A detailed analysis of the speech information barriers, wisdom, skills, barriers, cognitive strategies barriers. To solve the above proposed externalization of cognitive thinking, problem representation "multi-angle" turn, supports teaching responses, Anchored Instruction countermeasures, Random access to education measures, is the cultivation of migration, conflict teaching methods, the use of varying teaching and problem-centered learning, comparative analysis of effective teaching inductive response, metacognitive monitoring strategies, timely feedback, the ability to develop cognitive strategies to migrate; measures to strengthen the teaching of reflective behavior, these responses are mutually reinforcing applied to the teaching, help students to eliminate cognitive impairment, so that students have learned to master the proper knowledge.At last year of teaching experimental research carried out by testing volume in the form of trigonometric functions on high school students to solve mathematical problems of cognitive impairment countermeasures research and teaching. In the qualitative research and quantitative research based on the combination of the conclusion, the results show that an analysis of trigonometric functions in learning aspects of cognitive impairment and adopt measures for the teaching of cognitive impairment eventually be able to effectively improve student achievement and explore the capacity , in order to accumulate some experience in front-line teaching and provide some reference. |