High school mathematics is an important basic subject in high school, but the knowledge of high school mathematics is abstract and difficult for students to master. Inquiry learning is a new teaching mode. Inquiry learning is to let students actively participate in the course research process, let students experience the process of learning knowledge, cultivate students' autonomous learning ability and awareness of exploration and discovery, and improve learning efficiency.
First, the characteristics of research-based learning
1. Open
The content of our research study is not fixed, but comes from students' daily life and social life, in order to solve common or social problems in life. This teaching mode is not fixed knowledge of a certain subject, but comprehensive and interdisciplinary knowledge, which is open.
Step 2 investigate
As the name implies, inquiry learning is definitely inquiry-oriented. In the process of inquiry learning, students learn knowledge under the guidance of teachers, not under the guidance of teachers. It allows students to decide their own research topics and changes the traditional teaching mode in the past. Students become the masters of learning, and they can actively explore, exchange and learn with each other, and finally draw a conclusion.
Step 3 be practical
Mathematics knowledge is not rigid book knowledge, it is closely related to life. Therefore, research-based learning emphasizes practicality. In the process of learning knowledge, we can connect with real life, integrate environmental problems and modern scientific and technological problems, and guide students to pay attention to life, participate in practical activities and learn knowledge in practical activities.
Second, the goal of research-based learning
Research-based learning emphasizes the practical application of knowledge and skills learned, and attaches importance to students' learning process, practice and experience. Our goal is: (1) let students get the experience of participating in research and exploration. (2) Promote students' ability to find and solve problems. (3) Cultivate students' ability to collect and use information. (4) Let students learn to share and cooperate in research study. (5) Cultivate students' scientific attitude and spirit. (6) Cultivate students' sense of responsibility and mission to society.
Third, high school mathematics research study
1. Understanding of Inquiry Learning in Mathematics
Research-based learning in senior high school mathematics is an organic part of learning and an effective way for students to improve their active learning ability and practical ability. In research-based learning, students' thoughts have been liberated and their thinking ability has been exercised, which can create a good atmosphere for students to dare to explore, argue and learn from each other, so that students can improve their comprehensive learning ability while learning knowledge.
2. Ways to implement research-based learning in mathematics.
(1) Infiltrate inquiry learning into classroom teaching.
In teaching, senior high school math teachers can use various methods such as stimulating interest, arousing doubts, suspense and discussion to enliven the classroom atmosphere, improve students' learning enthusiasm and thirst for knowledge, and help students get out of the trough of thinking.
Practice has proved that, on the basis of following the teaching rules, using lively and colorful teaching mode can achieve the purpose of making students the masters of learning, stimulate students' interest in learning, greatly increase their thirst for knowledge and improve the efficiency of classroom teaching.
(2) Open mathematics questions and research-based mathematics learning.
The open problem of mathematics can obviously highlight the research-based learning of mathematics, and the process of solving problems is the process of inquiry. Open mathematical questions reflect the formation process of mathematical questions and the actual state of the objects to be answered. When students solve open mathematics problems, they must analyze and explore comprehensively, which is conducive to stimulating the flexibility of students' thinking and making them feel successful and fall in love with mathematics.
(3) Selection of research-based learning topics in mathematics.
To carry out research-based learning in mathematics, we should properly choose learning topics, and fully consider students' independent activities and cooperative activities when choosing topics. The research study topic should be the basic mathematics knowledge that students learn, and then combine it with real life and production. Teachers and students can do projects by themselves, which can cultivate students' independent thinking ability and comprehensive analysis ability, which is conducive to improving learning efficiency.
(4) How to write open questions in research-based learning of mathematics.
Whether reforming old questions or creating new ones, the compilation of open questions should focus on the purpose of open questions and change according to the actual situation. The open question is a supplement to the basic questions, which should be conducive to promoting the development of students' comprehensive quality.
The compilation of open questions should be based on basic knowledge, and the starting point is the intersection of knowledge networks. According to certain mathematical theorems or formulas, open questions are compiled, and open questions are developed by using certain closed questions. In order to embody or reproduce a certain mathematical research method, open questions should be written according to the actual situation.
(5) Mathematics inquiry learning and mathematics teaching.
① the orientation of research-based learning in senior high school.
It faces the whole high school mathematics teaching and all students, not a few excellent students. The goal of research-based learning is to stimulate students' active exploration and cultivate their innovative ability, thus improving their comprehensive ability.
② The relationship between inquiry learning and mathematics teaching.
The research study of mathematics and the existing mathematics teaching are not two independent things, but are interrelated and mutually promoted.
In a word, mathematics is the gymnastics of thinking. Mathematics knowledge is abstract and logical, and it is not easy to learn well, especially in senior high school, which is difficult for students to master. Inquiry learning is a teaching mode advocated by the new curriculum. Its purpose is to make students become the main body of learning, actively learn mathematics knowledge, promote students to learn to teach themselves in learning and improve learning efficiency. This paper discusses the research-based learning in senior high school mathematics teaching. The research study of mathematics is aimed at the whole senior high school mathematics teaching and all students, not a few excellent students. The goal of research-based learning is to stimulate students' active exploration and cultivate their innovative ability, thus improving their comprehensive ability. Research-based learning emphasizes the practical application of knowledge and skills learned, and attaches importance to students' learning process, practice and experience. Research-based learning can stimulate students' initiative to explore and cultivate their innovative ability, thus improving their comprehensive ability. In practical teaching, teachers should apply research-based learning teaching according to students' actual situation in order to promote students to learn mathematics well.