本篇論文目錄導航:
【題目】中學數學教育中數學美的價值探究
【第一章】我國中學數學教育美學問題研究緒論
【2.1】美學與數學美
【2.2】數學美在中學數學教育中的作用
【2.3】數學美對學生素質的影響
【2.4】深化數學美的探究,全面推進素質教育
【3.1 】中學數學教育中的審美教育
【3.2】審美教育的意義
【3.3】數學美在中學數學教學中的滲透
【3.4】數學美融入中學數學教學中
【3.5】教師是影響學生對中學數學美感受的關鍵因素
【3.6】感受美,欣賞美的渠道
【參考文獻】數學美與中學數學教育的結合研究參考文獻
摘 要
數學作為人類文化重要的組成部分,是一門有組織的,獨立而理性的學科,在人類生活的其他領域發揮著重要的作用。對于怎樣學好數學,一直以來是眾多數學教育工作者比較關注的一個話題。在全面推進素質教育的今天,審美教育受到了廣泛的重視。審美教育實質是培養一種情感的教育。新課程目標強調把培養學生的情感,態度,價值觀,強調知識與技能,過程與方法,情感態度與價值觀三維一體的教學目標。讓學生形成積極主動的學習態度,使學生獲得基礎知識和基本技能的過程轉變為學會學習和形成正確的價值觀的過程。讓學生欣賞數學美,感受數學美,把數學美融入中學數學教育,利用數學的魅力來激發學生由內而外的,更加濃厚的學習興趣,是一種有效的教學途徑。
本文第一章緒論主要闡述了二個問題。首先闡述了數學的由來及特點,數學是一門抽象的學科,不僅概念是抽象的,方法本身也是抽象的,任何一個定理都需要邏輯及推理證明才成立的。數學推動了現代科技的發展,數學有廣泛的應用。其次論述了我國中學數學教育存在的問題及主要改革趨向?,F在的教育模式是以教師講授知識為主,培養出來的優秀學生具有扎實的基礎知識,能攻克大量難題,但動手能力,創新能力及應用數學解決實際問題的能力還不夠強。不利于培養高水平,高素質的人才。針對我國教育現狀,課程改革開始關注中學數學美學的培養。在教學過程中喚醒學生對中學數學的美好情感,讓學生欣賞美,感受數學美是中學數學教學任務之一。
第二章具體論述了數學美在中學數學教育中的作用。數學美是社會屬性和物質屬性的有機統一。數學具有簡潔性,統一性和對稱性,整齊性等特點。數學理論的迷人之處就在于能用最簡潔的方式揭示現實世界中的量及其關系的規律。數學美是激發學生學習興趣的源泉,激發學生學習數學、研究數學的積極性,能培育學生的創新能力和獨創精神。興趣是思維的動因,是強烈而又持久的學習動機,沒有興趣的強制性學習,必將扼殺學生學習的欲望。只有學生熱愛數學,才能產生積極持久的學習動力。因此,教師應當充分挖掘中學數學教材的美學因素,把數學教學組織學生發現數學美,鑒賞數學美,創造數學美的過程,運用數學美引起學生深厚的學習興趣。通過數學美的鑒賞和創造可以培養學生高尚的審美情趣,陶冶學生的思想情操。數學美是聯系數學知識、數學能力的紐帶,教育工作者可以利用數學美可以提高學生分析解決問題的能力。
利用數學美陶冶學生的思想情操。數學美對數學素質和學生素質都有一定的影響。數學美的教育不僅有助于培養學生的德育,智育,對學生非智力因素也有一定的影響。
第三章講述了怎樣把數學美與中學數學教育結合起來。在學生數學學習過程中,接觸到的是概念、定理、公式、法則等也蘊涵著美的因素,但由于數學的美主要是通過數學語言來體現的,具有一定的間接性、模糊性。因此,并不是所有的學生都能感受到數學美的存在。這就需要教師在中學數學教學中引導學生進行規律的再現,有意識地引導他們去發現美,鑒賞美,培養學生的數學審美感知力,激發學生審美情感,讓他們在一個輕松的心態下完成新知識的學習。在數學教學過程中,注意發掘審美因素,培養學生的審美能力。揭示教材里潛在的關系因素,使學生發現數學美。引導學生初步領略數學中的美。教授課程時,設置懸念的方法可以激發學生數學審美的情感。在具體教學實踐中可以從美觀、美好,美妙,完美這四個層次去感受數學美,欣賞數學美。
提供創造數學美的機會,讓學生感受數學美,利用數學美引導學生主動學習,能起到事半功倍的教學效果??傊?,我堅信把審美教育注入到中學數學教育中,通過審美教育的培養,一定能使我們中學的數學教學質量提升一個層次。
關鍵詞:數學美學,數學教育,數學學習。
Mathematics as the important component of the human culture, is an organized, in-dependent and rational discipline, in other areas of human life play an important role.Forhow to learn mathematics, has been many mathematics education workers a topic of concernis.The comprehensive promotion of quality education in aesthetic education today, by theextensive attention.Aesthetic education essence is to cultivate an emotional education.Thenew curriculum goal emphasis on the cultivation of students' emotion, attitudes, values, em-phasize knowledge and skills, the process and the method, attitudes and values of a teachinggoal.Let the student to form the positive learning attitude, causes the student to obtain thebasic knowledge and basic skills for learning and process change form the correct values ofthe process.Let students enjoy the beauty in mathematics, feel the beauty in mathematics,put the beauty in mathematics education into the middle school mathematics, using mathe-matical charm to arouse the students from the inside out, more strong study interest, it is akind of effective teaching approach.
This paper mainly expounds the introduction chapter two problems. Firstly the originand characteristics of mathematics, mathematics is an abstract discipline, not only conceptis abstract, methods itself is abstract, any a theorem all need logic and reasoning proof toset up. Mathematics promoted the development of modern technology science, mathematicshave extensive application. Then discusses the mathematical education existence questionand the main trend of reforms. Now education mode is mainly teachers teach knowledge,trained to outstanding students have a solid foundation of knowledge, can conquer lots ofproblems, but beginning ability, innovation ability and the applied mathematics solution ac-tual problem ability is not strong, is not conducive to cultivate a high level, high qualitytalent.Education present situation in our country, the curriculum reform started to pay atten-tion to the cultivation of aesthetics. In the teaching process of mathematics arouse studentsthe good emotion, let the students appreciate beauty, feel the beauty in mathematics is oneof maths teaching task.
The second chapter expounds the beauty in mathematics education in middle schoolmathematics in the role. The beauty in mathematics is social attribute and material properties of the organic unity. Mathematics has succinct, unity and symmetry, tidy sex etc. Character-istics. The enchantment of the mathematical theory is that can use the most concise meanshint real-world quantity and relationship of laws. The beauty in mathematics is the sourceof stimulates the student to study the interest, stimulates the student to study math, the en-thusiasm of study math, can foster students' innovative ability and creative spirit. Interestis the thought reason, is strong and lasting learning motivation, not interested in learning,will kill the mandatory students desire to learn. Only students for mathematics, can generatepositive lasting learning strength.Therefore, the teacher should be fully unearths teachingmaterial aesthetic factors in mathematics teaching organization, shipped, appreciate, createinto found mathematical beauty, using the beauty in mathematics course caused the learn-ing interest of the students' deep. Through mathematical beauty appreciation and create cancultivate students lofty aesthetic appeal, edify their thoughts sentiment.The beauty in math-ematics are linked to mathematics knowledge, mathematical ability education workers canlink, using mathematical beauty can improve students' analysis and problem solving ability.
Using the beauty in mathematics edify their thoughts sentiment. The beauty in mathematicsto mathematics quality and students' quality all have certain effect. Mathematics educa-tion not only helps cultivate students beauty of the moral education, intellectual education,student non-intelligence factor also have certain effect.
The third chapter tells the story of how the beauty in mathematics and mathematicseducation together. In students' mathematical learning process, touch is the concept, theo-rem, formula and law etc also contain beauty, but because mathematics factors is primarilythrough mathematical language beauty to reflect, have certain vicarious, fuzziness. So, notall students can feel mathematical beauty exists. This requires the teacher in the teachingguide the student to carry on the regular reappear, consciously led them to the now beauty,appreciating beauty and cultivate students' mathematical aesthetic sensitivity and stimulatethe students' aesthetic feeling, let them in a relaxed attitude complete new knowledge learn-ing. In the teaching of mathematics, pay attention to explore, the cultivation of the students'
aesthetic factors of aesthetic ability. Reveal the relationship between the teaching potentialfactors and make students find the beauty in mathematics. Guide students to appreciate thebeauty in mathematics. When professor course, set up the methods can stimulate studentssuspense mathematical aesthetic emotion. In practical teaching practice can from beautiful,beautiful, beautiful, perfect the four levels to feel the beauty in mathematics, appreciate thebeauty in mathematics. Provide opportunities to create mathematical beauty and let studentsfeel the beauty in mathematics, using the beauty in mathematics guides the student to activelearning, can play the twice the result with half the effort the teaching effect. Anyhow, Ibelieve that the aesthetic education into the middle school mathematics education, aestheticeducation through the cultivation of certain can cause our mathematics teaching quality im-provement to the next level.
Key Words:
The beauty in mathematics, mathematics education,mathematics learning.