Research purposes: To explore the learning and application of functions in senior high school mathematics.

1, research background and significance

In high school mathematics, function is one of the core concepts, which runs through the whole high school mathematics curriculum, from simple linear function to complex logarithmic function and exponential function. However, many students encounter difficulties in learning functions and cannot understand and apply these functions. Therefore, the purpose of this study is to explore the learning and application of functions in senior high school mathematics, and to help students better grasp and understand the concepts and properties of functions.

2. Research contents and methods.

(1) This study will focus on the following contents.

Students' understanding of the concept of function, students' mastery of the nature of function, students' ability to apply function, and factors affecting students' learning function.

(2) This study will adopt the following methods.

Literature review: Collect relevant literature on function learning to understand the achievements and shortcomings of previous studies.

Questionnaire survey: design a questionnaire to understand students' learning and application ability of functions.

Case study: Select some students as case study objects to deeply understand their difficulties and solutions in function learning.

Data analysis: analyze and process the collected data and draw the research conclusion.

3. Expected results and values

In-depth understanding of students' ability to learn and apply functions, find out the factors that affect students' learning functions, and put forward suggestions to improve the teaching of mathematical functions in senior high schools, so as to provide reference for further research on the learning and application of other concepts in senior high schools.

When making a research plan, you need to consider the following factors:

1, determine the research questions and objectives.

When making a research plan, you need to make clear your research problems and goals first. This will help you determine the direction and purpose of the research, as well as the subsequent data collection and analysis methods.

2. Literature review.

After determining the problems and objectives of the research, you need to make a literature review to understand the existing research achievements and shortcomings, so as to determine the innovation and value of your research.

3. Determine the research methods

According to the results of literature review and the innovative research direction you have determined, you need to choose appropriate research methods and technologies. This may include experimental design, questionnaire survey, case study, qualitative or quantitative analysis, etc.