Mainly write three meanings,
First, from the perspective of broadening students' horizons, in middle school mathematics, mathematical induction is mainly used to prove problems and provide students with new ideas to solve problems;
Secondly, from the perspective of future application (I'm not sure whether there is mathematical induction in liberal arts textbooks), for science students, the future will involve computer programming. Mathematical induction is a simple form of recursive cycle, which is conducive to students' understanding and learning of science and engineering knowledge in the future.
Thirdly, from the perspective of examination, mathematical induction is a compulsory course in middle school mathematics, and it is also a knowledge point that must be tested in the examination, and it is also a knowledge point that is easy to get points.
2. Main research contents and expected objectives
Combined with the three meanings in the background purpose, the main research content focuses on students' cognitive level and the ability to draw inferences from others:
First, students' understanding of mathematical induction, or the difficulty of most students' mathematical induction, are not clear in those aspects. Are these unclear situations common or individual? (For example, what is the difference between liberal arts students and science students?)
Expected goal: know the difficulties and difficulties of mathematical induction, and have statistical data.
Second, students' understanding of mathematical induction, whether students realize the significance of mathematical induction in real life, or whether exams are the majority, and whether some students interested in mathematics find it convenient for them.
Third, is it easier for students who have studied mathematical induction to understand the recursive loop algorithm of computers, such as the Tower of Hanoi?
3. Methods and steps to be adopted
2, mainly through statistical methods, combined with the survey of students.
That's about it. I'm not an education major. I wonder if it meets your requirements.