With the development and progress of society, life, production practice, putforward the higher mathematics culture quality to the worker. With the newcurriculum reform in the new century mathematics course, people-oriented andquality education in the education teaching idea of how to build and appropriate, andthe appropriate person to implement the scientific and effective, effective teaching? Itneed a new theory to support it, and Piaget Theory construction proposed is apowerful and very effective theory. Under the guidance of this theory, classroomteaching efficiency how to innovate the teaching mode?In the first part of the thesis, and the change from the social progress and thedevelopment of the times, the new curriculum reform, the trigonometric function inteaching materialâ€™s position shows the necessity of research on delta function conceptteaching, this thesis explains the research problems and significance: guidance intheory and constructivism theory to the trigonometric functions the concept ofscientific and effective classroom teaching? What are the factors of affecting studentslearning trigonometry concepts? In the second part, introduces the requirements oftrigonometric function teaching contents and domestic, foreign, and domestic andforeign to the trigonometric function concept teaching research. In the third part ofthe thesis, introduces the theory put forward by Piaget: learning is not the passiveabsorption but learners construct knowledge actively, describes the constructivismteaching concept, learning concept, students view and APOS theory.(1) the essencetheory is: learners construct their own knowledge about the objective world andsubjective concept, making them react with a concept accepted by society andknowledge, constructivist theory attributes are collaborative, situational,conversation and meaning construction.(2) the construction theory on the teachingthought: the teacher and the students have questioned the otherâ€™s point of view, tryingto give the explanation, the accept or reject, but do not ignore these views.(3) theconstruction theory of the students that: the students have formed a certainexperience and knowledge, they are in the process of the construction, the existingknowledge experience plays a decisive role in. In the fourth part of the thesis,introduces the origin and development of mathematics, and the mathematics concept teaching two degeneration theory and constructivist theory:(1) the formation ofmathematical concepts to experience: activity, process, object and the four stage.(2)the concept of cognitive structure is the essential attribute of a thing, into the variant,described the content.(3) the teaching of mathematics concepts under APOS theoryto let students feel, revealing process; grasp the dual process and object; grasp theessence, schema. In the fifth part, the design practice of trigonometric functionconcept teaching: process, process, object and the four stage. In the sixth part of thethesis, summarizes the research conclusions, shortcomings and enlightenment.(1)maintain continuity of teaching.(2) deepening to the guidance of situations, theextension and refinement.(3) pay attention to concept teaching process.(4) repeatedand spiral concept established. |