The Actuality And Cultivation Of High School Students Mathematic Conjecture

Strengthening the cultivation of mathematic conjecture is of high importance to students thinking.Mathematic conjecture which as a kind of method provides a directional thinking for problem solving,plan formulating and implementing,scheme designing.lt also makes students not think blindly.Reasonable conjectures are integrated embodiment of knowledge and ability.They are also embodiment of seeking knowledge desire, enterprising spirit and innovative spirit, determination of willpower and self-realization. So the research of mathematic conjectures mode of thinking and training strategy has high significance.This thesis draw these conclusions through a questionnaire survey and interviews for students and teachers:(1)Both students and teachers consider that Mathematic conjecture is very important,But we do not attach great importance to it.Mathematic conjecture as a thinking method and problem solving does not get into high school matericals.(2)The degree of knowledge has a positive correlation with capacity of Mathematic conjecture,Optimal classes above the ordinary ones.(3)Cognitive capacity restricts the ability to analogy,analogy ability have an uneven development. We teachers should focus on the cultivation of cognitive capacity and encourage students-bold conjecture constantly.(4)The gender does not affect the ability of conjecture.(5)The students’ ability to imitate is very strong,Teachers cognitive affects students cultivation directly.(6)Students interests have a positive correlation with cognitive capacity,and they can be a virtuous cycle.We should pay attention to cultivate emotion for a positive attitude to learning and keep optimistic state of mind.The author put forward these proposals to cultivate students mathematic conjecture:the formation process of the concept,the use of counter-examples,the promotion and evolvement of proposition,the cultivation of the interest and self-study guide.