The Application Of Mathematics Ideas And Methods In Middle School Mathematics Modeling Teaching

The thesis is based on the mathematics ideas and method and the mathematics modeling. On the one hand, it analyzed and investigated the mathematics ideas and methods particularly, on the other hand, according to the practice of mathematics modeling teaching in the middle school, a research was carried systematically on the modeling teaching methods, strategies and cultivating students'integrated ability by the modeling teaching. The thesis is made up of four chapters:The first chapter summarized the history of the modeling teaching and research situation domestic and abroad on the foundation of modeling problems in mathematics teaching of the middle school.Chapter two set forth the correct cognition to the modeling teaching, the significance of cultivating students'mathematics knowledge and ability in order to excavate the education function of the modeling teaching. Students'learning motivation and interest were inspired through the modeling activities, while training students'attention, willpower, the learning attitude and the learning habit of earnestness advocating truth, paying attention to efficiency and cooperative spirit.In chapter three, through a brief introduction of mathematics model methods, mathematics speculation (including induction and analogy), axiom methods, formation methods, psychology methods of mathematics creation (including intuition, inspiration and esthetics thinking methods) and mathematics tests, the applications of these methods were discoursed upon through modeling teaching.Chapter four is about the strategies of the mathematics modeling teaching.The demands of hardware and teachers in mathematics teaching were put forward. Specific strategies of the modeling teaching were displayed by"packing questions"teaching cases.