【摘要】：中學數(shù)學競賽一直以來是許多中學生和教師關(guān)注的重要內(nèi)容。通過數(shù)學競賽,學生能領(lǐng)會更多的數(shù)學知識與數(shù)學思想,激發(fā)他們的創(chuàng)造性思維,培養(yǎng)數(shù)學素養(yǎng),感受到數(shù)學的博大精深。然而在數(shù)學競賽的開展過程中卻存在了一些問題,例如,在關(guān)注如何將數(shù)學競賽應(yīng)用到數(shù)學教學中時,老師們往往對在教學過程中怎么融入數(shù)學競賽感到困惑。為了更好的促進數(shù)學教學的發(fā)展,使數(shù)學教學在與數(shù)學課程標準緊密結(jié)合的背景下,對如何把競賽的理念、目標、方法與內(nèi)容等融入數(shù)學教學中的實踐就顯得十分必要,這對提升中學生的數(shù)學解題能力、拓展學生的數(shù)學思維層次,進而改進數(shù)學教學質(zhì)量等都具有重要義。中學數(shù)學競賽的實質(zhì)為一種獨立于高等數(shù)學與初等數(shù)學的比賽性質(zhì)的數(shù)學活動,而它分別具有基礎(chǔ)性、創(chuàng)造性和發(fā)展性的特點。通過梳理數(shù)學競賽和中學數(shù)學教學相關(guān)文獻,發(fā)現(xiàn)關(guān)于中學數(shù)學教學中融入數(shù)學競賽的教學實踐研究并不多見,事實上中學數(shù)學教是數(shù)學競賽的基礎(chǔ),而數(shù)學競賽是中學數(shù)學教學的拓展,兩者相輔相成。結(jié)合中學數(shù)學競賽大綱,運用文本分析法對近年數(shù)學競賽試題分析發(fā)現(xiàn),不同類型的數(shù)學競賽試題,以不同維度展示了數(shù)學競賽知識諸如組合數(shù)學、初等數(shù)論、函數(shù)方程等在數(shù)學解題領(lǐng)域的應(yīng)用,進而探討了在中學數(shù)學教學中可以增添哪些教學內(nèi)容。根據(jù)數(shù)學學習論、數(shù)學教學觀等有關(guān)理論與方法,提出數(shù)學教學中融入數(shù)學競賽教學的諸多建議:教學策略上應(yīng)注重數(shù)學建模和數(shù)學文化的聯(lián)系;教學目標上應(yīng)加強學生的學習興趣培養(yǎng)、注重思維能力和學習能力提升以及要求凸顯數(shù)學思想方法;教學方法上應(yīng)注重一題多解和變式教學的體現(xiàn);教學內(nèi)容上應(yīng)在對中學數(shù)學相關(guān)內(nèi)容教學時結(jié)合數(shù)學競賽的內(nèi)容進行拓展,以及教學過程中應(yīng)注重情境導入、學生交流和課余作業(yè)設(shè)計等。本文旨在通過對中學數(shù)學教學中融入數(shù)學競賽進行的教學實踐研究,起到拋磚引玉的目的,以期望能夠使更多的專家學者的目光聚焦到數(shù)學教學和競賽中,以不同的角度對數(shù)學教學進行更深層次的探究,從而進一步提升師生數(shù)學素養(yǎng),促進我國數(shù)學教育的發(fā)展。
[Abstract]:Mathematics competition in middle school has always been an important part of the attention of many middle school students and teachers. Through the mathematics competition, students can understand more mathematics knowledge and mathematics thought, stimulate their creative thinking, cultivate mathematics literacy, and feel the broad and profound mathematics. However, there are some problems in the process of mathematics competition. For example, when we pay attention to how to apply mathematics competition to mathematics teaching, teachers often feel confused about how to integrate mathematics competition into the teaching process. In order to promote the development of mathematics teaching, it is necessary to combine mathematics teaching with mathematics curriculum standard, and how to integrate the idea, goal, method and content of competition into the practice of mathematics teaching. It is of great significance to improve the students' ability of solving mathematical problems, to expand the level of students' mathematical thinking, and to improve the quality of mathematics teaching. The essence of mathematics competition in middle school is a kind of mathematics activity which is independent of higher mathematics and elementary mathematics, and it has the characteristics of foundation, creativity and development respectively. By combing the relevant literature of mathematics competition and mathematics teaching in middle school, it is found that there are few researches on the teaching practice of mathematics competition in middle school mathematics teaching. In fact, mathematics teaching in middle school is the foundation of mathematics competition. Mathematics competition is the extension of mathematics teaching in middle school, and they complement each other. Combined with the outline of mathematics competition in middle school, the text analysis method is used to analyze the test questions of mathematics contest in recent years. It is found that different types of mathematical competition questions are displayed in different dimensions, such as combinatorial mathematics, elementary number theory, etc. The application of function equation in the field of mathematical problem solving is discussed, and what teaching contents can be added to mathematics teaching in middle school are discussed. According to the theories and methods of mathematics learning theory and mathematics teaching view, this paper puts forward some suggestions on how to integrate mathematics competition teaching into mathematics teaching: in teaching strategy, we should pay attention to the connection between mathematical modeling and mathematics culture; In the teaching goal, we should strengthen the students' interest in learning, pay attention to the improvement of thinking ability and learning ability, and demand to highlight the mathematical thinking method, and pay attention to the embodiment of the multi-problem and variant teaching in the teaching method. The teaching contents should be expanded in combination with the content of mathematics competition in the teaching of mathematics related contents in middle schools, and the teaching process should pay attention to the introduction of situation, the communication of students and the design of after-school homework, etc. The purpose of this paper is to make more experts and scholars focus on mathematics teaching and competition by studying the teaching practice of mathematics competition in middle school mathematics teaching. In order to further improve the mathematics literacy of teachers and students and promote the development of mathematics education in China, this paper makes a deeper inquiry into mathematics teaching from different angles.
【學位授予單位】：重慶師范大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：G633.6

【參考文獻】

相關(guān)期刊論文 前6條

1 蔡玉書;;2016年江蘇省數(shù)學競賽解析幾何試題的研究[J];中學數(shù)學月刊;2016年11期

2 孟桂芝;王樹忠;宋迎春;;基于數(shù)學競賽的高等數(shù)學教學改革初探[J];黑龍江教育(高教研究與評估);2015年10期

3 劉志平;;同余與不定方程的求解[J];宜賓學院學報;2014年06期

4 董裕華;;如何在數(shù)學教學中培養(yǎng)學生的思維能力——《不等式》教學有感[J];數(shù)學通報;2006年09期

5 王保華;例談函數(shù)方程思想的應(yīng)用[J];中學生數(shù)理化(高中版);2005年03期

6 周曉文;函數(shù)方程問題的求解策略[J];中學數(shù)學教學;2003年05期

相關(guān)碩士學位論文 前2條

1 梧靜;中學數(shù)學競賽中二次多項式與二次函數(shù)問題的研究[D];廣州大學;2011年

2 張麗媛;RSA密碼算法的研究與實現(xiàn)[D];山東科技大學;2005年

，

本文編號：2346362