中文题名: | 技校利用科学型计算器教学三角函数内容的实验研究 |
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保密级别: | 内部 |
论文语种: | chi |
学科代码: | 040102 |
学科专业: | |
学生类型: | 硕士 |
学位: | 教育硕士 |
学位年度: | 2008 |
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学院: | |
研究方向: | 利用科学型计算器进行技校三角函数教学研究 |
第一导师姓名: | |
第一导师单位: | |
提交日期: | 2008-12-18 |
答辩日期: | 2008-12-22 |
外文题名: | THE RESEARCH ABOUT TECHNICAL SCHOOL’S TRIGONOMETRIC FUNCTION |
中文摘要: |
最近几年,随着高中的扩招,技校生源逐渐减少,技校招生已经由过去的考试录取过渡到注册录取,技校新录取学生数学基础比较薄弱,害怕数学、厌恶数学、不喜欢数学的现象比较突出.为了提高技校数学教学的效果,研究者结合目前技校新生在初中阶段基本使用过科学型计算器的现实,进行了利用科学型计算器教学三角函数内容的实验研究.科学型计算器价格低、体积小易携带,具备计算功能,容易普及使用.利用科学型计算器研究技校三角函数的内容为:第一,学生利用科学型计算器计算三角函数值,在平面直角坐标系中描出具体的点,连成平滑的曲线,例如,学生借助于科学型计算器,求出正弦函数值、描点、连出平滑的曲线,分别画出[0,2π]的4、11、12、15、24等分的y=sinx图象,随着对[0,2π]分法的增加,体会图象的真实形状;第二,利用科学型计算器计算三角函数值,列表、描点、连线,根据手工作出的图象探索y=Asin(ωx+φ)图象与y=sinx图象关系;第三,探索科学型计算器的使用对技校学生三角函数测试成绩的影响;最后,通过问卷测试科学型计算器对技校学生学习三角函数的焦虑、态度和动机的影响.通过实验得到如下结论:通过科学型计算器求三角函数值,学生列表、描点、连线,以手工作图的形式,经历了三角函数图象逐渐接近真实形状的过程,加深了对三角函数图象规律的理解;提高了技校学生三角函数的测试成绩;在一定程度上降低了学生学习焦虑、改善了学习态度、提高了学习数学的动机.本研究采用实验研究,实验的主要工具是科学型计算器,采用集体施测方式.为了保证实验的客观性和科学性,主要采取了如下的措施:实验班和对照班同一周内学习相同内容、进度相同、同一天测试;06、08级实验班和对照班由研究者实验和测试;07级实验班和对照班由同事王希英老师负责实验和测试;被访者是随机抽取产生.实验对技校数学的启示是:科学型计算器可以促进学生探索、理解函数图象和性质,提高测试成绩,降低学习数学的焦虑、改善学习态度、提高学习数学的动机.但受到直尺上的刻度和眼睛视力的限制,借助科学型计算器手工画图时,不是任意一个正弦型函数都能够手工画出一个周期的图象,需要教师精心设计例题、精心指导,例如y=Asin(ωx+φ)的ω太大图象会失真,ω太小图象太细腻而画不出一个周期的图象,如果对[-2π,0]和 [0,2π]的分法不是- 的分母的整数倍,不能准确探索图象与ω、φ的关系. |
外文摘要: |
In recent years, with the expansion of high school, technical school students gradually reduced.Technical school entrance exam has been replaced by the registration. Technical school freshmen generally have low quality.Their mathematics is weak.They are always afraid of maths, and offensive. They do not like mathematics more prominently. In order to improve the effectiveness of maths teaching, the researcher takes account of having used scientific calculator,and uses scientific calculator to teach trigonometric functions . Scientific calculator is low-price, small, easy to be used. The scientific studies of the use of scientific calculator are these: First, the computer-science students use trigonometric calculation to find trigonometric functions value of angles. In the plane coordinate system, I can draw smooth curves.For example, students use scientific calculator to calculate the value of sine function, and smooth curves were drawn in the sub-4 , 11,12,15,24 of [0, 2π],for y = sinx image;students understand the true shape of the image; Secondly, the use of scientific calculator-calculated value of the trigonometric functions, List, description, connection, and explore relations of the image y = Asin (ωx + φ) and y = sinx image according to the manual drawing; third, I explore the scientific calculator on the impact of the test results; finally, through aquestionnaires, I test anxiety, attitude and motivation of students. Conlusions have been as follows:with the adoption of scientific calculator for the value of trigonometric functions, students list, description, and has gone through the drawing process of trigonometric functions image. Students have improved the trigonometric function test results; they have reduced the anxiety of the students; and they have improved the learning attitude; and they increase the motivation to learn mathematics. In this study, scientific calculator is the main.I use the mass testing methods. In order to ensure an objective and scientific experiments, I mainly take the following measures: the experimental and control classes learn the same content in a week, with the same pace, and test in the same day; 06,08 experimental and control classes are studied by myself; 07 experimental and control classes are studied by Wang Xiying colleagues; respondents are randomly generated. Experiments give us enlightenings: Scientific calculator can increase computing scores, promote understanding of the function and nature of the image,reduce the anxiety of learning mathematics, and improve the attitude and the motivation .But with restrictions of the ruler and vision, a arbitrary function will be not able to be drawn in a cycle.Teachers need to well design example, guide carefully.For example. If equalities of [-2π, 0] and [0,2π] are not several times throughout the denominator of - ,or if ω is too small , or if ω is too big, we cannot make use of drawing about y = Asin (ωx + φ) to explore relations of images and A,ω,and φ. |
参考文献总数: | 54 |
作者简介: | 姓名:李学刚,性别:男,出生年月:1969.09.15,籍贯:山东临沂市临沭县,1992年7月从事技校数学教育工作,2005年9月至2006年7月在北京师范大学数学科学学院攻读教育硕士学位,2006年9月至2008年11月边工作、边实验,在郭玉峰老师的指导下,完成硕士论文。 |
馆藏号: | 硕040102/08207 |
开放日期: | 2008-12-18 |