Solving The Thought Disorder Of Geometric Problem And Teaching Strategies

Knowledge of geometry is the entrance of the hot and difficult to explore geometric problem solving thinking map, explore geometric topic solving strategies for enhancing the effectiveness of teaching high school mathematics of geometry has a very important significance.Firstly, the overall situation on the high school of thought disorder to solve geometric problems were investigated and found that the existence of empirical thought disorder high school geometry problem solving, conceptual thought disorder,thought disorder analysis of controlled, non-intellectual thought disorder, given potential thought disorder, visual disturbance type thought disorder.Secondly, through case studies, differences between high school students come to mind map solve geometric problems, the analysis of the results which ranks in the solution process geometry topics in cognitive, thinking, self-monitoring and performance aspects of the former residence, diverse thinking there are significant differences in terms.There are significant differences in terms of quality geometric thinking and in terms of geometric reasoning ability.Finally, surveys made some suggestions. Applications need to pay attention to the teaching of the conversion and return policies, and through training variant,eliminate barriers to high school students set thinking, enhance geometric thinking,agility, flexibility, attention to train high school students divergent thinking, enhance creative thinking geometry; teachers to be presented in teaching thinking development process and improve the ability of high school students self-monitoring, analysis of controlled elimination of thought disorder, demonstrated ability to improve high school geometry; teachers in teaching high school students to improve cognitive level,eliminating empirical thought disorder; teachers in teaching mathematics to train high school students emotion, overcome non-intellectual thought disorder; teachers to enhance deep thinking in teaching, eliminate barriers to conceptual thinking; high school teachers to improve the teaching of spatial imagination, eliminating visual clutter type thought disorder.