Mathematics and Applied Mathematics Graduation Thesis 1 Analysis of the present situation of applied mathematics teaching in colleges and universities and its reform strategies
Mathematics teaching plays an important role in the disciplines established in colleges and universities. Strengthening mathematics education can make students more confident to solve practical problems, and students can also establish their own mathematics knowledge system. Therefore, when carrying out efficient and practical mathematics teaching reform, both teachers and students should attach importance to the concept of teaching reform, and at the same time, they should slowly cultivate students to develop good study habits.
1 the intrinsic significance of applied mathematics in colleges and universities
Applied mathematics in colleges and universities is very important, which is different from previous teaching. First of all, it is the difference in application fields. The beginning of applied mathematics in colleges and universities is particularly targeted. In the past, mathematics had a more traditional application field. Secondly, applied mathematics mainly focuses on the connection between theoretical knowledge and practice, while in the past mathematics mainly focused on theory. Even though there are great differences between these two kinds of mathematics, the contents of these two subjects are inseparable and a whole, and the difference is only in pertinence and teaching objectives [1].
2 the teaching status of applied mathematics in colleges and universities
2. 1 Establish related classes of applied mathematics
After in-depth study of applied mathematics knowledge, students can master some basic operations in mathematics and their thinking ability has also been improved. Students can deeply analyze all the problems in mathematics, use the theoretical knowledge they have learned to solve all the problems, cultivate students' application and innovation ability of mathematical theoretical knowledge, and finally achieve the goal of improving students' mathematical literacy.
The teaching courses for college students include advanced mathematics courses, and colleges and universities have also set up specialized personnel training contents related to curriculum reform. The study of applied mathematics contributes to the study of other subjects. If you want to learn other courses well, the study of applied mathematics is essential [2]. Offering applied mathematics courses in colleges and universities will help students master the theoretical knowledge of mathematics, cultivate their ability to learn mathematics, and at the same time increase their interest in learning and improve their mathematical literacy.
2.2 Problems in College Mathematics
(1) There are problems in the teaching content. The content of mathematics teaching in colleges and universities is very comprehensive, and the mathematics knowledge learned by many professional students is the basic theory, which has nothing to do with mathematics practice. Therefore, the teaching field does not meet the teaching requirements at all, and students can't deeply understand all the theoretical knowledge in the whole learning process, which hinders students' idea of actively learning mathematical theoretical knowledge.
(2) There are problems in the teaching content. At present, mathematics teaching in colleges and universities mainly focuses on learning skills, while paying attention to the rigor of reasoning, ignoring the application of mathematical theoretical knowledge to solve practical problems, so that the trained professionals will not be able to achieve professional employment, can not stand on their posts, and do not pay attention to the cultivation of professional quality, resulting in theoretical knowledge divorced from practical application, and ultimately unable to effectively cultivate students' professional ability [3].
(3) There are problems in the teaching staff. At present, the application of mathematics plays a very important role in mathematics teaching. However, teachers of applied mathematics have not mastered this scientific knowledge and lack basic teaching ability and methods to cultivate students' teaching. In the teaching process of applied mathematics, the common phenomenon is the lack of professional theoretical knowledge, which makes students unable to master theoretical knowledge skillfully and understand the basic elements of combining theoretical knowledge with practice.
3 the reform strategy of applied mathematics in colleges and universities
3. 1 Formulated a correct teaching concept for applied mathematics in colleges and universities.
When colleges and universities formulate courses related to applied mathematics teaching, they must determine professional requirements, analyze students' majors, and appropriately adjust the educational concept of applied mathematics. At the same time, the basic open principle of mathematics is applicability, and the teaching goal is to improve students' own quality. At the same time, we should also pay attention to the educational ability contained in mathematics teaching, effectively cultivate students' various abilities, guide students to apply mathematics to solve problems in real life, and lead students to improve their innovative ability.
3.2 Change the previous teaching methods and cultivate students' awareness of applied mathematics.
The traditional mathematics teaching method is indoctrination, and the new teaching scheme should use heuristic to realize mathematics teaching. At the same time, it is necessary to conduct in-depth research on various teaching methods to make them more effective. In the past, when teachers were teaching, the teaching method was single, and what students learned was passively accepted. Under the guidance of this teaching method, students can only gradually lose interest in mathematics learning, which requires teachers to use teaching methods flexibly to create a pleasant learning environment for students [4].
In the whole teaching of applied mathematics in colleges and universities, the first thing to cultivate is that students have the basic concepts of applied mathematics, and the effective use of mathematical knowledge is an essential content in teaching. This requires college mathematics teachers to shoulder their own educational responsibilities. First of all, teachers should master students' awareness of applied mathematics. If they have a poor sense of applied mathematics, we should find out the reason. At the same time, it is also necessary to cultivate students' interest in learning mathematics, guide students to study actively, and let students realize the extensive knowledge of applied mathematics in our lives. Educators should conduct in-depth research on this and attach importance to applied mathematics, so that the importance of applied mathematics can be brought into play in teaching [5]. At the same time, it is necessary to improve students' awareness of applied mathematics and gradually improve their applied mathematics ability.
3.3 Change the teaching content of applied mathematics.
In the reform of mathematics teaching content, we should integrate the inherent requirements of different majors, change the classroom into flexible teaching, and not overemphasize the rigor of applied mathematics. We should design teaching classes according to students' professional content, and provide students with a lot of basic knowledge, so as to better support students' vocational skills and improve their comprehensive ability in the future [6].
In short, in order to improve students' learning ability, it should be noted that applied mathematics is different from pure mathematics, and it is practical. Therefore, in order to let students learn applied mathematics actively, we must cultivate students' interest in learning. Colleges and universities should increase the input of mathematics teachers and conduct in-depth analysis and research on this teaching topic in order to improve the overall level of applied mathematics teaching and make it develop continuously.
References:
[1] Xing Chaofeng, Huang, Yang Xu, et al. Mathematical modeling and the practice of mathematics teaching reform in colleges and universities-taking Jinan University as an example [J]. journal of higher correspondence education (Natural Science Edition), 20 10/0,23 (2): 20-22.
[2], Zhu, On the teaching reform of applied mathematics in colleges and universities and the cultivation of students' awareness of applied mathematics [J]. Informatization construction, 20 15 (4): 6 1-63.
[3] Wang Yanhua and Wang Xiaoyan. The basic way of infiltrating mathematical modeling thought and method [J]. Journal of Liaoning Normal University (Natural Science Edition), 20 12, 14 (4): 5-6.
[4] Wang Junxuan. Explore the cultivation of college students' awareness and methods of mathematical modeling [J]. Daguan Weekly, 2012 (16): 214-214.
[5] Song Wenjing. On how to cultivate students' awareness of applied mathematics in mathematics teaching in colleges and universities [J]. Oriental youth? Teacher, 20 12 (2): 30.
[6] Shi Minghua, Jianzhong Zhao, Zhou Benda and so on. Exploration on the integration of advanced mathematics and mathematical modeling in application-oriented undergraduate colleges [J]. Education and Teaching Forum, 2013 (21): 270-271.
Mathematics and Applied Mathematics Graduation Thesis 2: Strategies for Improving Primary School Students' Awareness of Applied Mathematics
Applied mathematics occupies an important position in the field of mathematics. Theoretically, applied mathematics includes operational research and linear algebra, as well as probability theory and mathematical statistics. The extensive application of these subjects embodies the idea of applied mathematics. With the reform of education system, new requirements are put forward for the teaching of applied mathematics, which requires that the teaching of applied mathematics should attach importance to the connection with life and other disciplines. Let primary school students use mathematics knowledge to solve some problems in real life.
1, enriching the relationship between life and applied mathematics.
Teachers should pay attention to the accumulation of life materials, and put these useful materials into teaching, concretize the abstract knowledge in mathematics books, let primary school students digest and understand better, and realize the connection between applied mathematics and real life. Teachers can assign some homework according to the content of study. For example, when learning rice and centimeters, students can be asked to measure the sizes of beds, doors, dining tables and other furniture at home. When studying Jiao Yuan, students can go to the supermarket to buy mineral water for practice, which can deepen their understanding of learning mathematics knowledge and play a certain role in consolidation. This is a very good teaching method.
2, open the enthusiasm of primary school students to learn applied mathematics.
Primary school students' applied mathematics knowledge is mostly simple, and it is easy to find the breakthrough point and connection in life. Therefore, teachers are required to have more contact with books and practice in teaching, to stimulate students' enthusiasm for learning, and to turn theoretical mathematics knowledge into practical problems. This will not only make students understand more clearly, but also make students really feel the value of learning applied mathematics and actively try to solve problems with the idea of applied mathematics. In this learning process, students can have a strong interest in applied mathematics and have a sense of exploration, which is the purpose of teaching. For example, the explanation of scores can be explained by dividing cakes, apples and other real-life examples, so that students can not only understand quickly, but also understand how to apply scores in daily life, so the teaching effect is often ideal.
3, don't ignore the role of teaching materials, teaching materials into life.
With the innovation of teaching methods, many teachers began to ignore textbooks. Due to more and more teaching methods, such as group counseling activities, multimedia teaching, extracurricular design and other teaching forms, teachers do not attach importance to and rely on textbooks as in the past. In fact, this idea is also wrong. Any teaching activity is also based on textbooks, and the two complement each other. Teaching materials play a leading and targeted role. Any form of teaching revolves around textbooks. If it is divorced from the textbook, it will lose its meaning. Therefore, teachers should make full use of their textbooks to connect with real life.
Such as: small buyers, small housekeepers, numbers and codes, energy saving, interest rate investigation, interest calculation, etc. These practical activities are in line with students' age characteristics, knowledge base and their living background. Therefore, we can make full use of these resources, organize concrete, interesting, practical and full-participation math activities according to the requirements of the textbook, train students to observe things around them from a mathematical point of view, go through the process of analyzing and applying math knowledge and solving practical problems, and connect math problems with life experience, so that students can realize that mathematics is closely related to daily life and gain successful experience in applying math.
4. The practice of situational life promotes the study of applied mathematics.
For the teaching of applied mathematics, the most appropriate method is to explain it in specific situations, which is more conducive to students' thinking, makes mathematics look more interesting and easier to stimulate students' interest in learning. In this respect, teachers need to carefully design some life scenes and set more open questions according to students' hobbies, so that teachers can guide them appropriately. In this way, students can learn applied mathematics knowledge in the process of answering questions and thinking about them.
For example, when students learn addition and subtraction, they can divide several students into groups to act as customers and salespeople respectively, and carry out addition and subtraction operations with money and some simple items. They can have candy and drinks that students like, and they can also have some common stationery such as schoolbags, notebooks and pens. Only in this way can students have enthusiasm for participation, have a strong interest in addition and subtraction, and understand the application of addition and subtraction in real life through group exercises. This situational teaching method makes students feel exposed to new knowledge in the most familiar environment and is widely praised by students in applied mathematics teaching.
5. The process of learning applied mathematics is the process of cultivating practical ability.
In the process of learning, we also constantly find problems and then find ways to solve them. This whole process can enable students to explore knowledge unconsciously, and increase their logical thinking ability and problem-solving ability. In addition, students' communication ability can be strengthened by asking questions and answering questions from other students and teachers. In the communication and discussion with teachers and classmates, students can also understand the collective strength, know how to overcome difficulties, and sometimes need help, so that students can understand and feel the application of mathematics in practice, the charm of applied mathematics and the significance of learning it from all angles and levels.
After teaching junior students to learn the knowledge that "less is more than small, but bigger than small", after simple subtraction, students can investigate the age of their families and make up application questions, such as grandma 66, dad 30, and grandma is older than dad. Wait, who is older, who is younger, who is younger, and who is different from who? How old are they together? Who is several times older than who, and so on. Another example is to teach the meaning of multiplication and division, and to master abstract concepts by swinging learning tools. Teachers should encourage students to think more and observe more, find mathematical problems from them, and make their own application problems through analysis, exploration, organization, practice and screening, which is conducive to cultivating students' awareness of learning and using mathematics, as well as their ability to analyze and solve problems from different angles.
6. Concluding remarks
In our daily work and life, there are a lot of applied mathematics problems. As long as primary school math teachers can summarize, summarize and process the data of practical problems that they usually collect and observe, they can design and refine relevant applied math problems, so that students can apply what they have learned to real life, thus making students realize the value of learning math, stimulating their interest in learning math, developing their mathematical thinking and improving their awareness and ability to use math knowledge flexibly. Therefore, giving full play to the role of applied mathematics in primary school mathematics teaching can not only teach students how to use the mathematical knowledge they have learned to solve practical applied mathematics problems, but also stimulate each student's creative potential and cultivate their innovative ability.
References:
[1] years. Cultivation of Primary School Students' Mathematical Modeling Thoughts [J]. Foreign Language Learning: Middle School Edition 20 12(09).
[2] Xia Guo. Exploration of Mathematical Modeling in Primary Schools [J]. China Electric Power Education, 2009( 13).
[3] Wu Xinyu. Study on the strategy of integrating primary school mathematics teaching into life [D]. Northeast Normal University, 20 1 1.
& gt& gt& gt More exciting next page? Graduation thesis of mathematics and applied mathematics?