高中生数学逆向思维能力的调查与分析

Analysis and Survey of Reverse Thinking Ability on Senior School Students

逆向思维能力的发展有助于改善学生学习数学的思维方式，激发学生开拓创新精神，使学生将来能适应社会需要．对高中生的调查表明：学生数学逆向思维能力总体发展水平偏低，各逆向策略的运用存在显著差异．测试卷的分析发现，数学观对学生逆向策略的运用存在影响，正逆向思维的关系辩证而统一．

The development of reverse thinking ability helps to improve the mode of students＇ mathematical learning way, to stimulate students＇ pioneering and innovative spirit, so that students can adapt to the needs of community. A survey of high school students shows that： students＇ mathematical thinking ability in low level, the use of reverse strategy has significant difference. From the analysis of test paper we found that the beliefs of mathematics effect students＇ reverse strategy using, the relationship of positive and reverse thinking is dialectical and united. So we propose teaching proposal from concept guarantee, habit forming and methods training.