The Enlightenment Of Mathematics Innovative Education From Constructivism

The higher standard of talent is advanced in knowledge economy era. We should bring up the person of synthetical,individual ,diversificate. So it抯 an urgent task to execute innovative education contrasted to our traditional school pattern by creative teachers in a creative way. At the same time we must pay more attention to the children抯 innovative spirit, ability and character. Innovative education has the feature of subjective, all-round, exploring, democratic and surpassing. As a result of creating, mathematics takes an important part in the innovative education. Constructivism is the straight consequence of thorough analyzing psychology and specially cognitive psychology on the epistemological view ,which roots the theory of Vygotsky and Piajet.It affirms that cognition is the process of constructing and perfecting self structure on one抯 own initiative experience. Situated their basic opion on study,construcivist put forward some new ideas on selecting and organizing teaching content and designing lessons, such as Random Access Instruction ,Situated Learning, Scaffolding Instruction, Cooperative Learning. Moreover, it offers a new angle of view how we understand the essence of mathematics, which is the dynamic, empirical and quasiempirical viewpoint. Under the guidance of constructivism ,a teacher is not only an information intiator but an inspirator, organizer, participator, introductor. The core of constructivism emphasizes the subjective position of students. It抯 the main duty of the teachers to make benign atmosphere in class that the learners can completely exert their own ability, explore new problem , get intuitionistic experience and necessary preparation. Relativing to the mathematics knowledge ,it抯 more important to teach thoughtway on the view of dynamic. We should develop the students? consciousness and metacognize, which is very useful in their future life. As to the situation of our country, cooperative learning is not to be sneezed, in which the chidren can master the collaborate ability and habit. On all accounts,we can get much from constructivism for our mathmatics innovative education.