Exploration Of The Quality Of Students' Mathematical Culture Through The Mathematics Competition Problems

The thesis is intended to study the competitive problem exercises of mathematics especially the integer questions both in primary and middle school in order to tap its inner evaluation, foster the students thinking ability and give full play to improve the students mathematical level.The competitive problem exercises of mathematics have a lot of advantages contrasting with textbook exercises. Competitive exercises are flexible so it can effectively foster the flexibility of students thinking; competitive exercises have open traits so it goes with the current education situation in china; competitive exercises indicate more abundant mathematical thinking methods; competitive exercises have great exploratory possibilities so it has the advantages of fostering the students strong perseverance.The author analyzes the thinking train of solving the competitive exercises in detail and explains from the following facets that using competitive exercises can improve the students knowledge and ability, penetrate thinking methods and what's more, foster the students mathematical quality.1 .Pay attention to reasonable deduction, and train to make innovations as well. The heart of over-all education is to improve the students' ability to make innovations. We can improve effectively the students' innovation consciousness by way of using competitive exercises, teaching supposition, inducing regular patterns and encouraging students to make bold attempt.2.Deepen conclusions to foster the profound thinking. People say that profundity of thinking is the most significant thinking quality. By spreading the conclusion of competitive exercises we can foster the students question consciousness, make the students undergo the scientists studying course, and then improve the profundity of their thinking greatly.3. Penetrate classified thought by construction , and train the students' ability to analyze and solve problems.4. Infiltrate the gathering thinking through analyzing, then have the students grasp the knowledge of figuring out members using gathering collection.5. Build up intuitive concepts, and penetrate the thought of combining numbers with pictures.6.Incarnate practical quality, foster the consciousness of establishing models and arouse the thirst for knowledge.7.Stimulate the dispersal thinking; improve the flexibility of thinking with the help of open exercises.8.Reveal the beauty of mathematics and reinforce interest in mathematics.Q.Foster the students' great individual quality, such as strong perseverance, exploration spirit, cooperation consciousness, etc.