Research On Topics And Exploring Strategies Of High School Mathematics Inquiry Learning

Since the<Ordinary High School Mathematics Curriculum Standards (experimental)>promulgated in 2003,mathematics teachers and other educational researchers all over the country try their best to study and discuss inquiry learning which is advocated hardly in the new curriculum standards.Naturally,we proposed the following problems:what is mathematics inquiry learning?why should we execute mathematics inquiry learning and how to do it and so on.New curriculum standards explicitly pointed out that:the selection of exploring topics are the key in mathematics inquiry learning.So how to select exploring topics and how to explore the topics are the urgent problems waiting to be solved.These problems are essential problems about mathematics inquiry learning, naturally become the focus of the research,also the core issues of this study.From the literature,we know that although there are many research articles of these problems,these studies appear more fragmentary,the systematic research papers of high school mathematics exploring topics and inquiry learning strategies are quite rare.<JOURNAL OF MATHEMATICS EDUCATION> and <BULLETIN DES SCIENCES MATHEMATICS> are authoritative magazines in mathematical education research fields.This study attempts to analysis the statistical dates of high school mathematics inquiry learning topics and research strategies in the magazines between 2001 and 2009,summarize problem-posing strategies and exploring strategies in mathematics inquiry learning.Combining with the research reslults of mathematical methodology,proposed 4 common problem-posing strategies in mathematics inquiry learning:through observation,induction;through analogy,associating;through abstraction,generalization;through changing conditions or conclusions.And also give a lot of examples for illustration.It should be pointed out that these examples are not using the all known cases,but the author himself research achievements.Summarize 4 exploring strategies of mathematics inquiry learning:strategy of test,observation,induction,guess and prove;strategy of multi-solutions of one problem and simple solution (proof);strategy of generalization and extension;strategy of modeling method.Tried to answer the problem of how to do it in high school mathematics inquiry learning.Meanwhile,combined with my own learning and research experience,appliing of the proposed mathematics problem-posing strategies and exploring strategies,given more analysis and discussion based on 4 cases of mathematics inquiry learning(They are also the author himself research achievements),to further clarify problem-posing strategies and exploring strategies in high school mathematics inquiry learning.