【摘要】：算法是不僅是數(shù)學(xué)及其應(yīng)用的重要組成部分,而且是計(jì)算機(jī)科學(xué)技術(shù)的重要基礎(chǔ)。隨著現(xiàn)代信息技術(shù)飛速發(fā)展,算法在科學(xué)技術(shù)、社會(huì)發(fā)展中發(fā)揮著越來(lái)越大的作用,并日益融入社會(huì)生活的許多方面,算法思想已經(jīng)成為現(xiàn)代人應(yīng)具備的一種數(shù)學(xué)素養(yǎng)�！陡咧袛�(shù)學(xué)課程標(biāo)準(zhǔn)(實(shí)驗(yàn))》指出,高中階段算法知識(shí)是建立在義務(wù)教育階段學(xué)生初步感受算法思想的基礎(chǔ)上,然而《義務(wù)教育數(shù)學(xué)課程標(biāo)準(zhǔn)(實(shí)驗(yàn)稿)》對(duì)算法思想的教學(xué)并未做出明確的要求和說(shuō)明,因此該怎樣在義務(wù)教育階段使學(xué)生初步感受算法思想,這是一個(gè)值得思考和研究的課題。通過(guò)文獻(xiàn)檢索發(fā)現(xiàn),目前并沒(méi)有對(duì)義務(wù)教育數(shù)學(xué)算法思想的相關(guān)研究,因此本論文在一定程度上能夠彌補(bǔ)這方面的空白,本論文共分為緒論、算法概述、教材分析和教學(xué)設(shè)計(jì)、教學(xué)實(shí)施建議、研究總結(jié)與展望五個(gè)部分。在緒論部分,主要介紹本論文的研究背景和研究意義。在數(shù)學(xué)課程標(biāo)準(zhǔn)的要求、時(shí)代發(fā)展的需求、算法思想的數(shù)學(xué)文化價(jià)值、義務(wù)教育算法思想研究的訴求等研究背景下,我們有必要對(duì)義務(wù)教育數(shù)學(xué)算法思想進(jìn)行研究;義務(wù)教育算法思想能夠培養(yǎng)學(xué)生良好的思維習(xí)慣、發(fā)展學(xué)生數(shù)學(xué)思維能力、為學(xué)生深入學(xué)習(xí)算法知識(shí)奠定基礎(chǔ),因此,研究義務(wù)教育數(shù)學(xué)算法思想具有重要的意義。在算法概述部分,主要內(nèi)容是算法概念的界定,算法特征的分析,算法的要素及描述,算法思想的內(nèi)涵,《高中數(shù)學(xué)課程標(biāo)準(zhǔn)(實(shí)驗(yàn))》的對(duì)算法部分的要求。通過(guò)對(duì)算法進(jìn)行概述,為下一個(gè)模塊算法思想的研究奠定理論基礎(chǔ)。在教材分析和教學(xué)設(shè)計(jì)部分,主要研究?jī)?nèi)容是:(1)算法思想與運(yùn)算;(2)算法思想與方程;(3)算法思想與函數(shù);(4)算法思想與幾何;(5)算法思想與統(tǒng)計(jì)。每一部分的研究思路是:首先選擇具有代表性和教育性的教學(xué)內(nèi)容;然后對(duì)選擇的教學(xué)內(nèi)容進(jìn)行算法設(shè)計(jì)和描述;最后進(jìn)行算法化教學(xué)案例開(kāi)發(fā)設(shè)計(jì)。在教學(xué)實(shí)施建議部分,通過(guò)以上對(duì)義務(wù)教育數(shù)學(xué)算法思想的研究,對(duì)義務(wù)教育算法思想提出教學(xué)實(shí)施建議,建議教師教學(xué)時(shí)注重滲透式教學(xué),算法化教學(xué),算法與算理并重,鼓勵(lì)算法多樣化,強(qiáng)調(diào)算法與信息技術(shù)相結(jié)合。在研究總結(jié)與展望部分,對(duì)義務(wù)教育數(shù)學(xué)教材與教學(xué)中蘊(yùn)含的算法思想進(jìn)行了總結(jié),同時(shí)對(duì)義務(wù)教育數(shù)學(xué)算法思想的深入研究進(jìn)行了展望。
[Abstract]:Algorithm is not only an important part of mathematics and its application, but also an important foundation of computer science and technology. With the rapid development of modern information technology, algorithms play a more and more important role in science, technology and social development, and are increasingly integrated into many aspects of social life. The idea of arithmetic has become a kind of mathematics literacy that modern people should possess. "Mathematics Curriculum Standard of Senior Middle School (experiment)" points out that the knowledge of algorithm in senior high school is based on the idea of initial feeling algorithm of students in compulsory education. However, the Mathematics Curriculum Standard for compulsory Education (Experimental draft) has not made a clear request and explanation for the teaching of the arithmetic thought, so how to make the students feel the idea of the algorithm initially in the compulsory education stage? This is a subject worthy of consideration and study. Through literature retrieval, it is found that there is no relevant research on mathematics arithmetic thought of compulsory education at present, so this paper can make up the blank in this respect to some extent, this paper is divided into introduction, algorithm summary, teaching material analysis and teaching design, the whole paper is divided into the introduction, the algorithm summary, the teaching material analysis and the teaching design. The teaching implementation suggestion, the research summary and the prospect five parts. In the introduction part, it mainly introduces the research background and significance of this paper. Under the background of the requirement of mathematics curriculum standard, the requirement of the development of the times, the mathematics culture value of the arithmetic thought, the demand of the compulsory education arithmetic thought, it is necessary for us to study the mathematics arithmetic thought of the compulsory education. The idea of compulsory education algorithm can cultivate students' good thinking habits, develop students' thinking ability of mathematics, and lay the foundation for students to learn arithmetic knowledge deeply. Therefore, it is of great significance to study the idea of mathematics algorithm in compulsory education. In the part of algorithm overview, the main content is the definition of algorithm concept, the analysis of algorithm characteristics, the elements and description of algorithm, the connotation of algorithm idea, and the requirements of algorithm part of "Senior Mathematics Curriculum Standard (experiment)". The algorithm is summarized to lay a theoretical foundation for the study of the algorithm idea of the next module. In the part of textbook analysis and teaching design, the main research contents are: (1) algorithm thought and operation; (2) algorithm thought and equation; (3) algorithm thought and function; (4) algorithm thought and geometry; (5) algorithm thought and statistics. The research ideas of each part are as follows: firstly, the representative and educational teaching content is selected; then, the algorithm design and description of the selected teaching content are carried out; finally, the algorithmic teaching case development design is carried out. In the teaching implementation suggestion part, through the above research to the compulsory education mathematics algorithm thought, puts forward the teaching implementation suggestion to the compulsory education algorithm thought, suggests the teacher pays attention to the permeable teaching, the algorithmic teaching, the algorithm and the calculation principle, Encourage the diversity of algorithms and emphasize the combination of algorithms and information technology. In the part of research summary and prospect, the author summarizes the arithmetic ideas contained in the mathematics teaching materials and teaching of compulsory education, and looks forward to the further research on the mathematics arithmetic thought of compulsory education.
【學(xué)位授予單位】：華中師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：G633.6

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