The Investigation And Experiment Research On The Mathematics Exercises Teaching In Senior One Based On APOS Theory

Mathematics learning cannot do without mathematics problem solving,learn mathema-tics means good at problem solving, and teaching content to problem solving based exercise class is particularly important in mathematics curriculum. However, due to the influence of the exam-oriented education and the traditional ideas of “practice makes perfect”, mathematics exercise teaching present situation is not optimistic, one of the main performance is the lack of scientific guidance to the problem solving theory.Dubinsky proposed the APOS theory can provide a theoretical basis for the maths exercises teaching, to seek a new way for maths exercise teaching, and help the first- line teachers for math exercise teaching. Moreover,APOS theory is established as the basis of the few mathematical subject characteristics and teaching theory, for in-depth study of the theory is very meaningful.This paper first by using the method of questionnaire survey to understand the learning situation in mathematics exercises class from two aspects. On the one hand, in the form of questionnaire to understand the current situation of students’ learning level, analysis the existing problems;O n the other hand, in the form of test, on the basis of APOS theory to investigate the current situation of the students’ cognitive level, found the following problems:(1)80% of the students have reached “action”and “process”;(2)45%-60% of the students reached “object”;(3)20%-40% of the students reached “schema”.According to current situation of the study survey of exercise class learning, to optimize the practice of mathematics teaching exercise based on the APOS theory, carry on the micro teaching experiment, and through the two aspects of math and thinking aloud test to verify the experiment results.The results showed that :(1) The effect of the mathematics exercise teaching based on APOS theory is superior to traditional teaching effect.(2) A small number of students due to the cognitive level is low, the mathematical basis of poor and other reasons also can not grasp problem solving ideas exploration method, the experimental effect is not obvious.Based on investigation and experimental research, in view of mathematical exercises teaching, on the basis of APOS theory analysis of the students in the problem solving internal thought process,experience the inspiration of math teaching activity exercises, and discusses the teaching strategies of mathematical exercises course based on APOS theory:(1) To present problem solving idea exploration process;(2) To guide the students to learn to construct a complete knowledge schema;(3) To cultivate the habit of students positive reflection after problem solving...