A Study On The Degree Of Difficulty And Acceptability Of Mathematical Sample Design

Sample learning is an important learning mode for solving mathematical problems.however,in practice,the mathematical example does not play a very good role.It is worth discussing that the difficulty of designing the sample and optimizing the sample to suit different levels of students' learning.This study is based on the integrated difficult model,taking the chapter'sample designing from Straight line and straight line equation for example,exploring the difficulty of mathematical sample design and the problem of students' acceptability,in order to discuss what influence the sample learning on students' math learning produces.This study mainly adopts qualitative research method.First,using the way of the literature analysis to collect the data and searching the literature to comb the sample study,the sample design and the mathematics sample research outline;On the other hand,the theoretical basis of sample learning is elaborated in detail,including schema theory,cognitive load theory,learning transfer theory and self-interpretation theory and so on.The second is the survey method,After the students finish the autonomous learning materials,designing problems for students to fill in the questionnaire,the purpose is to survey some feelings and views from the students about the sample learning.The last one is the interview method.This paper makes a structured interview with the two teachers of the author,to examine the views and suggestions from the teachers about the sample designed by the author.Through the study,the following conclusions can be obtained.:(1)most students are able to accept the level of difficulty of the sample designed in this article;(2)the sample learning model is approved by the majority of students;(3)different grades of students tend to find different levels of samples;(4)The study of the sample has a positive effect on the students' learning.From the layered nature of the design of the sample,the arrangement of teachers and textbooks can be revealed as follows:(1)teachers should provide the example of a ladder for students to study;(2)the examples in textbooks should be layered.