中学生数学思维品质培养
发布时间：2018-12-25 20:48
【摘要】：人们常说:"数学是思维的体操,学习数学可以锻炼人的思维。"同理思维也可以影响数学的学习,中学生的数学思维品质的优劣也直接影响着学生的数学成绩。《普通高中数学课程标准(实验)》课程的基本理念中明确提出高中数学课程应注意提高学生的数学思维能力,这是数学教育的基本目标之一。国外对数学思维给予了高度的重视,对数学思维进行了理论和实践两个层面的研究,并取得了一定的成果。国内也对数学思维十分重视,对数学思维进行了三个方向的规范性研究,已到达了第三个方向——为教育而数学思维。所以中学生数学思维品质的培养是一个非常值得研究的课题。本论文以思维及数学思维理论为依据,采取问卷调查法对吉林省珲春市第一高级中学高一年级两个班的学生及一年组所有的数学教师进行了调查。通过调查发现,中学生数学思维品质存在以下不良现状及问题:1.大多数学生对数学思维品质的认识水平与准确性偏低,对数学思维品质的重视程度有待提高,且由于没有系统地学习过数学思维品质及相关的知识,不知道如何培养与提高自身数学思维品质;2.大多数学生数学思维的严谨性、灵活性与深刻性较好较好,但其数学思维的敏捷性、批判性、广阔性与独创性较差;3.由于受我国传统教育的影响,教师在教学中过于重视对数学知识与技能的传授,而对培养中学生的数学思维品质的重视程度偏低,并且大多数的教师没有系统地教授过学生有关数学思维品质的理论知识。针对调查中所发现的学生数学思维品质的不良现状及其存在的问题,本文提出了相应的培养中学生数学思维品质的建议:一、教师应系统地教授学生有关数学思维品质的理论知识;二、教师应发挥教师职业的示范性特点,在无形中陶冶学生;三、教师应培养学生良好的读题习惯与解题习惯;四、教师应训练学生对题目的深层次解读;五、教师应激发学生的求知欲与好奇心;六、教师应帮助学生养成良好的自我监控能力。当然,对于中学生数学思维品质的培养与提高是一个周期比较长的过程,想要完善数学思维品质的教学,提高中学生数学还需要更多方面的努力与帮助。
[Abstract]:People often say: "Mathematics is the gymnastics of thinking, learning mathematics can train people's thinking." The same thinking can also affect the study of mathematics, The quality of middle school students' mathematical thinking also directly affects the students' mathematics achievement. In the basic idea of the course of Mathematics Curriculum Standard (experiment) in ordinary Senior Middle School, it is pointed out that high school mathematics curriculum should pay attention to improving the students' mathematical thinking ability. This is one of the basic goals of mathematics education. Foreign countries attach great importance to mathematical thinking, and have made theoretical and practical research on mathematical thinking, and have achieved certain results. In our country, we also attach great importance to mathematical thinking, and have carried on the normative research of three directions of mathematical thinking, which has reached the third direction-mathematics thinking for the sake of education. Therefore, the cultivation of mathematical thinking quality of middle school students is a subject worth studying. Based on the theory of thinking and mathematical thinking, this paper investigates the students in the first grade two classes of senior middle school in Hunchun City, Jilin Province, and all the mathematics teachers in one year by means of questionnaire. Through the investigation, the middle school students' mathematical thinking quality exists the following bad present situation and the question: 1. Most students' understanding and accuracy of mathematical thinking quality is on the low side, and the importance of mathematical thinking quality needs to be improved, and because they have not studied mathematical thinking quality and related knowledge systematically, Do not know how to cultivate and improve their own mathematical thinking quality; 2. Most students' mathematical thinking is rigorous, flexible and profound, but its agility, criticality, expansiveness and originality are poor. 3. Because of the influence of traditional education in our country, teachers pay too much attention to the teaching of mathematics knowledge and skills, but pay less attention to the cultivation of mathematics thinking quality of middle school students. And most teachers do not systematically teach students about the quality of mathematical thinking theory. In view of the bad situation and existing problems of students' mathematical thinking quality found in the investigation, this paper puts forward the corresponding suggestions to cultivate the students' mathematical thinking quality: first, Teachers should systematically teach students the theoretical knowledge of mathematical thinking quality; Second, teachers should give play to the exemplary characteristics of the teacher's profession, cultivate students in the invisible; third, teachers should cultivate students' good habit of reading questions and solving problems; fourth, teachers should train students to understand the problems at a deeper level. Fifth, teachers should stimulate students' curiosity and curiosity; sixth, teachers should help students develop good self-monitoring ability. Of course, the cultivation and improvement of mathematics thinking quality of middle school students is a long process. To improve the teaching of mathematics thinking quality, it needs more efforts and help to improve the mathematics quality of middle school students.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
本文编号：2391626
[Abstract]:People often say: "Mathematics is the gymnastics of thinking, learning mathematics can train people's thinking." The same thinking can also affect the study of mathematics, The quality of middle school students' mathematical thinking also directly affects the students' mathematics achievement. In the basic idea of the course of Mathematics Curriculum Standard (experiment) in ordinary Senior Middle School, it is pointed out that high school mathematics curriculum should pay attention to improving the students' mathematical thinking ability. This is one of the basic goals of mathematics education. Foreign countries attach great importance to mathematical thinking, and have made theoretical and practical research on mathematical thinking, and have achieved certain results. In our country, we also attach great importance to mathematical thinking, and have carried on the normative research of three directions of mathematical thinking, which has reached the third direction-mathematics thinking for the sake of education. Therefore, the cultivation of mathematical thinking quality of middle school students is a subject worth studying. Based on the theory of thinking and mathematical thinking, this paper investigates the students in the first grade two classes of senior middle school in Hunchun City, Jilin Province, and all the mathematics teachers in one year by means of questionnaire. Through the investigation, the middle school students' mathematical thinking quality exists the following bad present situation and the question: 1. Most students' understanding and accuracy of mathematical thinking quality is on the low side, and the importance of mathematical thinking quality needs to be improved, and because they have not studied mathematical thinking quality and related knowledge systematically, Do not know how to cultivate and improve their own mathematical thinking quality; 2. Most students' mathematical thinking is rigorous, flexible and profound, but its agility, criticality, expansiveness and originality are poor. 3. Because of the influence of traditional education in our country, teachers pay too much attention to the teaching of mathematics knowledge and skills, but pay less attention to the cultivation of mathematics thinking quality of middle school students. And most teachers do not systematically teach students about the quality of mathematical thinking theory. In view of the bad situation and existing problems of students' mathematical thinking quality found in the investigation, this paper puts forward the corresponding suggestions to cultivate the students' mathematical thinking quality: first, Teachers should systematically teach students the theoretical knowledge of mathematical thinking quality; Second, teachers should give play to the exemplary characteristics of the teacher's profession, cultivate students in the invisible; third, teachers should cultivate students' good habit of reading questions and solving problems; fourth, teachers should train students to understand the problems at a deeper level. Fifth, teachers should stimulate students' curiosity and curiosity; sixth, teachers should help students develop good self-monitoring ability. Of course, the cultivation and improvement of mathematics thinking quality of middle school students is a long process. To improve the teaching of mathematics thinking quality, it needs more efforts and help to improve the mathematics quality of middle school students.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
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