【摘要】：本文從當(dāng)前學(xué)生認(rèn)為數(shù)學(xué)無趣無味這一普遍現(xiàn)象出發(fā),結(jié)合新課程標(biāo)準(zhǔn)中對數(shù)學(xué)教育要體現(xiàn)數(shù)學(xué)美學(xué)價值的文化理念,借鑒了國內(nèi)外學(xué)者對數(shù)學(xué)美與數(shù)學(xué)教育有關(guān)研究成果,并在他們關(guān)于數(shù)學(xué)美本質(zhì)、來源以及數(shù)學(xué)與審美主體產(chǎn)生情感共鳴的理論基礎(chǔ)上,提出了將數(shù)學(xué)美融入數(shù)學(xué)教學(xué)研究這一課題。本文大致可以分為三個部分,第一部分為第1、2章,闡述了當(dāng)前教育因數(shù)學(xué)美的缺失對數(shù)學(xué)課堂教學(xué)以及學(xué)生的數(shù)學(xué)學(xué)習(xí)態(tài)度產(chǎn)生的消極影響,通過參考國內(nèi)外有關(guān)數(shù)學(xué)美的研究方向和成果,從社會發(fā)展、數(shù)學(xué)課堂兩個角度闡述了研究本課題的意義與目的,希望有助于改善當(dāng)前數(shù)學(xué)課堂的現(xiàn)狀,讓學(xué)生在數(shù)學(xué)學(xué)習(xí)中感知、體驗、追求數(shù)學(xué)美,在對數(shù)學(xué)美的欣賞與享受中培養(yǎng)學(xué)生的創(chuàng)造性思維能力,增強對數(shù)學(xué)學(xué)習(xí)的興趣。第二部分是第3、4章,這部份給出了數(shù)學(xué)美的立意,即審美主體在進行數(shù)學(xué)活動的過程中產(chǎn)生的一種愉快的情感體驗,這種數(shù)學(xué)活動包括了數(shù)學(xué)運算、對數(shù)學(xué)結(jié)論、公式的驚奇發(fā)現(xiàn),對數(shù)學(xué)定理的邏輯推理,對數(shù)學(xué)猜想的巧妙證明以及數(shù)學(xué)在實踐生活中的應(yīng)用等等。同時分別對數(shù)學(xué)美的簡潔、和諧、奇異這三種表現(xiàn)形式進行了論述,結(jié)合學(xué)生審美認(rèn)知的心理發(fā)展特點,將發(fā)現(xiàn)美的過程分為感知數(shù)學(xué)美、理解數(shù)學(xué)美和探求數(shù)學(xué)美三個層面,由外及內(nèi)層層深入的論證了數(shù)學(xué)美的形成過程。第三部分是第5、6章,這部分將數(shù)學(xué)美與數(shù)學(xué)教學(xué)聯(lián)系起來,闡述了數(shù)學(xué)融入數(shù)學(xué)教學(xué)的審美價值、社會價值和文化價值,并在前面的理論基礎(chǔ)之上,提出了數(shù)學(xué)美融入數(shù)學(xué)教學(xué)的策略,最后通過為期12周的教學(xué)實驗對本文提出的策略進行評估,通過實驗數(shù)據(jù)驗證了策略的可行性和有效性。本文關(guān)于數(shù)學(xué)美融入數(shù)學(xué)教學(xué)的理論探討的結(jié)論還包括:1、中學(xué)數(shù)學(xué)教師要提高自身的審美素養(yǎng),才能更好的將數(shù)學(xué)美融入數(shù)學(xué)教學(xué)中;2、將數(shù)學(xué)美作為一種思想方法運用到中學(xué)數(shù)學(xué)教學(xué)改革中,對提高學(xué)生數(shù)學(xué)學(xué)習(xí)興趣具有一定的參考價值。
[Abstract]:Starting from the common phenomenon that students think mathematics is boring and tasteless, combined with the cultural idea that mathematics education should embody the aesthetic value of mathematics in the new curriculum standard, this paper draws lessons from the research achievements of domestic and foreign scholars on mathematics beauty and mathematics education. On the basis of their theories about the essence and source of mathematical beauty and the emotional resonance between mathematics and aesthetic subject, this paper puts forward the subject of integrating mathematical beauty into mathematics teaching and research. This paper can be divided into three parts. The first part is chapter 1 and 2, which expounds the negative influence of the current education on mathematics classroom teaching and students' attitude towards mathematics learning due to the lack of mathematics beauty. By referring to the research direction and achievements of mathematics beauty at home and abroad, this paper expounds the significance and purpose of this research from the perspectives of social development and mathematics classroom, hoping to help improve the present situation of mathematics classroom. Let students perceive, experience and pursue the beauty of mathematics in mathematics study, cultivate students' creative thinking ability in appreciation and enjoyment of mathematical beauty, and enhance their interest in mathematics learning. The second part is Chapter 3, Chapter 4, which gives the idea of mathematical beauty, that is, the aesthetic subject in the process of mathematical activities produced a happy emotional experience, this mathematical activity includes mathematical operations, mathematical conclusions, The discovery of formulas, the logical reasoning of mathematical theorems, the clever proof of mathematical conjectures, and the application of mathematics in practical life, etc. At the same time, it discusses the three forms of mathematical beauty: conciseness, harmony and strangeness. Combining with the psychological development characteristics of students' aesthetic cognition, the process of discovering beauty is divided into three levels: perceiving mathematical beauty, understanding mathematical beauty and seeking mathematical beauty. The formation process of mathematical beauty is deeply demonstrated from outside and inside. The third part is Chapter 5: this part links mathematics beauty with mathematics teaching, and expounds the aesthetic value, social value and cultural value of mathematics integration into mathematics teaching, and on the basis of the previous theory. The strategy of integrating mathematics beauty into mathematics teaching is put forward. Finally, the strategies proposed in this paper are evaluated through a 12-week teaching experiment, and the feasibility and effectiveness of the strategies are verified by experimental data. The conclusions of this paper are as follows: 1. Mathematics teachers in middle schools should improve their aesthetic qualities in order to better integrate the beauty of mathematics into mathematics teaching; 2. Applying the beauty of mathematics as an ideological method to the reform of mathematics teaching in middle school has certain reference value for improving students' interest in mathematics learning.
【學(xué)位授予單位】：華中師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：G633.6

【參考文獻】

相關(guān)期刊論文 前10條

1 鄭君澤;;發(fā)現(xiàn)數(shù)學(xué)的美麗——使用函數(shù)圖像構(gòu)成圖案[J];中學(xué)數(shù)學(xué)雜志;2015年08期

2 霍文婷;;論數(shù)學(xué)美的本質(zhì)屬性[J];數(shù)學(xué)教學(xué)通訊;2010年27期

3 王麗萍;數(shù)學(xué)美學(xué)及數(shù)學(xué)美育的作用[J];邯鄲學(xué)院學(xué)報;2005年03期

4 代欽;中國傳統(tǒng)數(shù)學(xué)中的美學(xué)思想方法研究之一[J];內(nèi)蒙古師范大學(xué)學(xué)報(哲學(xué)社會科學(xué)版);2005年04期

5 楊社平;楊輝三角與詩文美[J];廣西教育學(xué)院學(xué)報;2005年02期

6 張寶元;數(shù)學(xué)教學(xué)中的美育[J];天津市教科院學(xué)報;2003年03期

7 單X，

本文編號：2344608