有关高中数学创新能力如何体现的探析中英文对照.pdf

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1、有关高中数学创新能力如何体现的探析有关高中数学创新能力如何体现的探析中英文对照中英文对照Study on how to embody the high school mathematicsStudy on how to embody the high school mathematicsinnovative ability in Chinese and English.innovative ability in Chinese and English.高中学生的创新能力是贯穿于整个数学教学活动中的，要善于引导学生进行发现问题，分析问题，解决问题，并能够总结问题，从而在此基础上，培养学生的数学创

2、新能力，为终身的学习打下良好的基础。本文重点论述了高中数学创新能力与高中数学教学，主要从以下四个方面着手：教师要更新教学观念；教师要在教学活动中突出对学生的创新能力培养；教师应当创造一个活泼轻松的教学环境；教师应充分保护学生的学习兴趣和创新兴趣。High school students innovation ability is throughout the whole mathematics teaching activities,should be good at guiding students to discover problems,analyze problems,to solve

3、 the problem,and to summarize the problems,and on this basis,to cultivate students mathematical creativity,for lifelong learning and lay a good.This paper focuses on the innovation ability of mathematicsin senior middle school and the high school math teaching,mainly from the following four aspects:

4、teachers should update teaching concepts;teachers should focus on cultivating the creative abilityof students in teaching activities;teachers should create a lively and relaxed teaching environment;teachers should fully protect the interest of learning and innovation for students interest.关键词 高中数学 创

5、新能力 教学观念 教学环境Keywords high school mathematical creativity teaching concept teaching environment高中学生的数学创新能力贯穿于高中整个数学教学过程之中，在数学教学过程中，教师应注重培养学生的创新能力，使学生能够独立的分析问题，思考问题，解决问题并能够延伸问题，达到举一反三的目的。教师不仅仅要传授给学生知识，更重要的是要培养学生的创新能力，而数学创新能力的培养有利于学生养成良好的数学思维品质和严密的思维逻辑能力。High school students mathematics innovation abi

6、lity throughout the whole process of high schoolmathematics teaching,in the process of mathematical teaching,teachers should pay attention tothe cultivation of the innovation ability of students,to enable students to analyze problems,independent thinking,problem solving and can extend to three probl

7、ems,one purpose.Teachersshould not only impart knowledge to students,but more important is to cultivate studentsinnovative ability,and innovative mathematical ability will help students form a good mathematicsthinking quality and strict logical thinking ability.首先教师要更新教学观念。First,teachers should upda

8、te teaching concepts.高中数学是一门极灵活的学科，而不只是几个概念，原理和公式而已。高中数学教师应当更新教育观念，教师既不是传授知识的机器，学生也不是被动接受知识的容纳器。教师要从教学的“指挥者”转向“引导者”，由重教学的“结论”转向教学的“过程”，由重教师“教”转向重学生“学”。教师在教学过程中，应当引导学生逐步的发现问题，分析问题，解决问题，并启发学生的思维，让学生通过一个问题能够发现其中的规律并加以总结归纳。High school mathematics is an extremely flexible discipline,not just a few concep

9、ts,principlesand formulas.High school mathematics teachers should update their concepts of education,theteacher is not to impart knowledge,students are not passive receiving device knowledge.Teachersfrom the teaching of the leader to guide,the teaching of conclusion to the teaching of process,from t

10、eaching to learning of students.Teachers in the teaching process,shouldguide students to find problems,gradually problem analysis,problem solving,and inspire studentsthinking,to let students through a problem can find the regularity and summarizing them.在教学过程中，教师要树立师生平等、民主的观念。美国纽约道尔顿学校的校长理查德.布卢姆索联系中

11、国和美国学校教育的实际指出，在美国的学校里，教师是在学生圈子中的，甚至在课堂上你分辨不出哪个是老师；而在中国，老师常常是站在全班学生的面前，成为学生门的中心。而在美国，大多数教师总是鼓励学生提出问题，共同研究，解决问题，假如把老师问倒了，老师非但不会不高兴，反而会表扬这个学生，这样一来，学生受到鼓励，学习上更加自主，学习效果更加良好。我们可以吸取国外好的教学方式，先进的教学观念，因此对老师来说，建立一种民主化的观念是非常重要的；老师甚至也要向学生学习，从学生身上吸取智慧力量。In the process of teaching,teachers should set up the concep

12、t of democracy,equality betweenteachers and students.The United States of New York Dalton school principal Richard.China andthe United States of America Bulumusuo contact the school education practice pointed out that,inAmerican schools,teachers are students in the circle,and even in class,you cant

13、tell which one isa teacher;while in China,the teacher is often stand in front of the class,students become thecenter door.In the United States,most of the teachers always encourage students to ask questions,joint research,to solve the problem,if the teacher asked back,the teacher not only not happy,

14、butfor the students,in this way,students are encouraged to learn,more independent,more goodlearning effect.We can learn from the foreign good teaching mode,advanced teaching ideas,sofor teachers,the establishment of a democratic concepts is very important;the teacher even to thestudents,learn wisdom

15、 and strength from the student body.其次教师要在教学活动中突出对学生的创新能力培养。Secondly,teachers should focus on cultivating the creative ability of students in teachingactivities.中学阶段是青少年成长的关键时期，学生心理和生理发育趋于成熟，具有一定的独立思考能力与判断能力，思想活跃，接纳信息量大，求知欲强，可塑性较大，为培养创新能力提供了心理和生理基础，因此，在高中数学教学中要突出对学生的创新能力的培养，活跃学生的思维，这样一来，能够有效地提高学生的学习

16、效率。The middle school stage is a key period for the growth of young people,students psychologicaland physiological mature,independent thinking and ability to judge,the thought is active,receiving a large amount of information,intellectual curiosity,plasticity,provide psychologicaland physiological ba

17、sis for the cultivation of innovation ability,therefore,to cultivate in highschool mathematics teaching to highlight on the innovation ability of students,active studentthinking,in this way,can effectively improve the efficiency of student learning.努力提高学生的自学能力是创新能力培养的基础。自学是一种重要的学习方式，人的一生毕竟是有限的，能够得到教

18、师指导的阶段更是有限的，许多知识必须靠学生自学，积极思考，主动学习，才能够获得新的知识。所以教师应当倡导学生自学，并给予一定的指导，提高学生的自学能力和创新能力，让学生在自学中发现问题，并能够自主解决。在发现问题的过程中，教师还应当引导学生进行逆向思考，传统的思维定势有时候并不能有效的解决问题，可如果换个角度或从对立面来看，可能就可以获得解决的方案。因此，教师还应当培养学生逆向思维的能力，引导学生打破传统的、固定的思维的束缚，从不同的角度深入探索和挖掘问题的本质，得出正确的答案。To improve the students self-study ability is the foundati

19、on for the cultivation of creative ability.Self-study is an important way of learning,the persons life is limited,can get the teacher guidancestage is limited,a lot of knowledge must rely on students to self-study,positive thinking,activelearning,in order to obtain new knowledge.So teachers should e

20、ncourage students to self-study,and give some guidance,improve the students self-study ability and innovative ability,let thestudents to find problems in learning,and be able to independently resolve.In the process ofdiscovering the problem,teachers should guide students to reverse thinking,the trad

21、itional way ofthinking and sometimes is not effective to solve the problem,but if change an angle or from theopposite point of view,may get the solution.Therefore,teachers should cultivate students abilityof reverse thinking,lead students to break the traditional,fixed thinking manacle,nature explor

22、ingfrom different angles and mining problem,get the correct answer.第三，教师应当创造一个活泼轻松的教学环境。Third,teachers should create a lively and relaxed teaching environment.心理学研究证明：一个人的感知、注意、记忆、思维、想象等智力因素，都受主体情绪的影响。在极其轻松自如的环境下，人的自主探索和体验生命本体的状态最富有创造性和开拓性。也就是说，只有当课堂充满生动活泼的心理气氛时，学生的精神才会饱满，情绪才会高涨，兴趣才会浓厚，思维才会活跃，接受能力才会

23、增强，学习效率才会提高。Psychological studies have shown:a personal perception,attention,memory,thinking,imagination,intelligence factors,are influenced by the subjective emotion.In a relaxedenvironment,humans independent exploration and experience the life state of being the mostcreative and pioneering.That is

24、 to say,only when the class is full of be lively and vividpsychological atmosphere,the spirit of the students will be full,the mood can be high,interest willbe strong,thinking is active,the ability to accept will be enhanced,learning efficiency will beimproved.在轻松活跃的教学环境中，学生的思维能力和创新能力才能够得到最大限度的发挥。因此

25、，教师应当设计多种教学方式，优化教学活动，创造一个活泼有序而有利于学生发展的教学环境。教师要充分利用高中数学教材中的探究式活动，使学生在探究式活动中培养创新能力，因为创新能力是在实践的过程中得来的，而不是依靠背诵和记忆。探究式学习可以让学生在实践活动中获得研究探索的体验，养成善于发现问题，乐于思索，勤于动手的习惯，激发学生对数学问题进行探索创新的积极性。In a relaxed and lively teaching environment,the students thinking ability and innovation abilitycan get the maximum.There

26、fore,teachers should design a variety of teaching methods,optimizethe teaching activities,to create a lively and orderly and is conducive to the development ofstudents and teaching environment.Teachers should make full use of the inquiry activities in highschool mathematics teaching,to enable studen

27、ts to cultivate innovation ability in inquiry activities,because the innovation ability is in the practice process,rather than relying on rote learning andmemory.Inquiry learning can make students get research experience in practice,to develop goodat finding problems,willing to think,industrious hab

28、its,stimulate the students enthusiasm forexploration and innovation of mathematical problems.最后，教师应充分保护学生的学习兴趣和创新兴趣。Finally,teachers should fully protect the interest of learning and innovation for students interest.教师在教学过程中，应积极激发学生的学习兴趣，而创新的过程需要兴趣来维持。同时，教师应当根据教学目标、内容和学生的接受能力来设计教学，提出难度适中的问题，启发学生进行思考

29、。这样才会激发学生学习的兴趣，引发强烈的求知欲望，从而进行创新性的思考。Teachers in the teaching process,should arouse the students interest in learning,and theinnovation process need interest to maintain.At the same time,the teacher should design teachingaccording to the teaching goal,the content and the ability to accept students,pr

30、opose moderatequestions,inspire students to think.This will stimulate students interest in learning,triggered astrong desire for knowledge,thinking and innovative.在教学中，教师单从提高语言表达能力和语言直观上下工夫是不够的，还应充分利用直观教学的各种手段。“直观”具有看的见，摸得到的优点，它有时能直接说明问题，有时能帮助理解问题，会给学生留下深刻的印象，使学生从学习中得到无穷乐趣。如在教学中要尽量举一些学生熟悉的实例，运用幻灯、模型

31、、实物等教具，形象而又直观地引导学生去观察、分析、综合，从而激发学生学习知识的兴趣，使学生在轻松愉快的环境中能化繁为简，化难为易地掌握所学知识。In the process of teaching,teachers from improving language competence and language on theeffort is not enough,should also make full use of various means of visual teaching.Intuitive has seen,touched the advantages,it can someti

32、mes direct description of the problem,sometimescan help understand the problem,will impress the students deeply,make students get pleasurefrom learning.As in the teaching should try to give examples of some of the students are familiarwith,the slide show,model,physical and other teaching aids,vivid

33、and intuitive to guide studentsto observe,analysis,synthesis,and thus stimulate students interest in learning knowledge,so thatstudents can be simplified in a relaxed environment,easier to learn knowledge.总之，高中学生的创新能力是贯穿于整个数学教学活动中的，要善于引导学生进行发现问题，分析问题，解决问题，并能够总结问题，从而在此基础上，培养学生的数学创新能力，为终身的学习打下良好的基础。In

34、 short,high school students innovation ability is throughout the whole mathematics teachingactivities,should be good at guiding students to discover problems,analyze problems,to solve theproblem,and to summarize the problems,and on this basis,to cultivate students mathematicalability,a good foundation for lifelong learning and lay.