According to the age and learning characteristics of senior one students, combined with the school-based teaching and research in our school, our group put the new curriculum standard learning in the first place in teaching and research this semester, and carefully discussed the methods of preparing lessons, teaching and testing. In teaching, it is necessary to cultivate students' mathematical core literacy: to improve students' analytical understanding ability and mathematical abstraction ability.

Second, the analysis of learning situation:

1, teaching theme:

This lesson is "the concept of function", from the dependence theory of junior high school function to the correspondence theory of senior high school function. Based on this lesson, it is a concept lesson, focusing on the understanding and formation of function concepts. Therefore, we should focus on the process of making students form concepts, connect with old knowledge (I learned the concept of function in junior high school and the examples of function relationship in my life), break through the difficulties (abstract the concept of function from concrete examples), increase new knowledge (I can describe the definition of function with sets and corresponding languages, and point out the definition domain, corresponding rules and scope of specific functions), so that students can learn that function is an important mathematical model to describe the interdependence between variables, and it is correct.

2, teaching object:

The teaching object of this class is senior one students. In junior high school, students learned linear function, quadratic function and inverse proportional function, and initially understood the relationship between variables in the function, which laid the foundation for us to learn the concept of function. The logical thinking of senior high school students is more rigorous than that of junior high school students: the ability of abstract thinking is further improved. Students have some interest and enthusiasm in learning new content in emotional attitude, but their development in exploring problems, reflecting on cooperation and communication is uneven.

3, teaching focus:

(1). Abstract the function model from three practical problems, and broaden junior middle school's understanding of functions.

(2) Around the correspondence, the function is described by the language description of the set, and the concept is constructed.

(3) Deepen the understanding of the concept of function through certain analysis.

4, teaching difficulties:

Understand the corresponding relationship of functions, construct concepts by using the language of sets, and understand the mathematical connotation of arbitrariness, existence and uniqueness in sets. Third, the methods and tools of learning situation analysis:

1, questionnaire survey method

A questionnaire was designed to collect the information of knowledge reserve, ability level and cognitive level of the whole class, and combined with teachers' psychological knowledge, to understand the information of learning situation with keen observation. This method can make teachers know the information of learning situation more widely and truly.

2. Detection method

After the concept is constructed, complete 4-5 multiple-choice questions and 3-4 true-false questions for students to answer in 10 minutes. According to students' answers, collect relevant information to provide a basis for evaluating students' learning level.

3. Dialogue method

Through the interactive dialogue with students in class, we can understand the students' situation, see where there are still problems, and teach students in accordance with their aptitude. This method has the characteristics of direct communication, which is convenient to master first-hand information. Through our reflection and summary of the successful experience of mathematics teaching, we find out the shortcomings, further improve the quality of teaching, and check for missing parts. In the future teaching work, we should pay more attention to strengthening the communication and contact between teachers and students, carefully design from the aspects of excavating teaching materials, classroom strategies and exercises design, cultivate students' good thinking quality and good study habits, and make students' comprehensive quality develop in an all-round way.