Research And Development For Female Students' Ability Of Mathematics Intuitional Thinking

Mathematics is the science of researching on the relationship between space and scalar, and also the scientific language and effective tool of natural regulars and social rules. It plays unique role on formative processes of the people thinking, and the way of mathematical thinking just likes the dancing train of people's thought.The main object of mathematics teaching is to train and develop the ability of mathematics intuitional thinking for students, including logical thinking and intuitive thinking. Mathematics intuitional thinking is a swift judgment and acute imagination to the objects of mathematics and their relationship in structure. It is very necessary to develop students' mathematical intuition in that it does good to the excitement of creativity, improvement of overall qualities, all-brain development and optimization of mathematical thinking among students. It's common that daily mathematical teaching is far more emphasized on logical thinking, while intuitive thinking has been ignored for quite a long time before. For that reason, most of the students have lost their interesting in mathematics, without proper creative ability. It is highly mentioned in Standards of Common Mathematics Course in High School that the cultivation and development of the abilities of creativity and practice, in which there are the requirements to teachers for more activities for their students to observe, practice, speculate reason and communicate on their own initiative in mathematical study. Only in this way can the students acquire basal mathematical knowledge, and learn how to explore and solute the problems they meet.The research and development on intuitive thinking, especially on how to cultivate the ability of mathematics intuitional thinking, is very important and necessary.With the mathematical learning goes deeper and method gets more complicated, the girl students are less effective than boy students in common, especially when in high school. It is because the experiences the girl students have gained before are not good for them to develop their mathematical thinking, that they don't feel less confident in learning mathematics. We should learn appropriately the difference between boys and girls in their mathematical learning, knowing the basic difference in substantial way as well as the reasons, with different solutions to different genders. That is to say, we should take effective actions to different students in genders, make targets and requirements according to the ways of girls' thinking, and gradually eliminate the gap between boys and girls aiming to their developments in all means.Based on the probe on intuitive thinking of female students, the main opinion on this paper places emphasis on the cultivation for female students'ability of mathematics intuitional thinking as well as their excitement of creativity and interest in the course of teaching mathematics, to help them to go through the bottleneck, and to push the optimization of mathematical teaching among students. This paper also describes the conception, traits and ways of occur trait intuitive thinking in mathematical study. Based on the traits of intuitive thinking, this paper is to analyze the factors which affect intuitive thinking and the differences between male students and female students in high school, gaining the results as follows.1. It is obvious difference between both genders when it comes to mathematics intuitional thinking.2. In high school, the female students of the second grade are better than those of the first grade in terms of mathematics intuitional thinking. Although the difference is not so much, it's still an increase among the whole girl students.3. In high school the difference on mathematics intuitional thinking of different genders is more obvious in advanced classes than in normal classes.4. The more powerful in mathematics intuitional thinking, the higher points the high school students can get.With the analysis on the advantage and the disadvantage of mathematics intuitional thinking, here comes up the strategies of cultivating mathematics intuitional thinking ability in mathematics teaching for the female students.1. Cultivate their interest and build up their confidence.2. Improve the ability in oral express and the development in mathematics intuitional thinking.3. Cultivate metacognition ability and accumulate teaching experience.4. Train the cognitive structure to develop mathematics intuitional thinking.5. Foster mathematical understanding to promote mathematics intuitional thinking.