A Comparative Study On The Difficulty Of Textbook Exercises Under The Guidance Of Core Literacy

The core quality of mathematics is the correct value,essential character and key ability that students should gradually achieve after learning this subject course.Textbook,as an important carrier of the course,is the main tool to cultivate students' core literacy of the subject,and exercises,as an important part of the content of the textbook,can well reflect the implementation of the core literacy of the subject in the textbook.There have been a lot of studies on the difficulty of exercises,while there are relatively few studies on the difficulty of exercises guided by core literacy.Therefore,this study mainly borrowed the evaluation framework of PISA literacy test and adapted the application of this evaluation framework by other scholars,and constructed an exercise difficulty evaluation system guided by core literacy.The construction of this system is of great significance to the promotion of literacy evaluation of exercises.In this study was to the ordinary high school mathematics curriculum standards(2017edition)"promulgated,published by people's education press" ordinary high school mathematics textbook required for the first copies of A version with Beijing normal university publishing house "the ordinary high school mathematics textbook compulsory second volume of" as the research object,and the high school mathematics,one of important contents of trigonometric function chapter exercises,for example,to determine the following research questions:(1)under the guide of constructing core literacy problem difficulty evaluation system;(2)According to the evaluation system,compare the design similarities and differences of the trigonometric function chapter exercises in the two versions of textbooks from three dimensions of context,core knowledge and core mathematical accomplishment;(3)Compare the comprehensive difficulty of exercises.This research firstly uses the literature research method to sort out the dimensions that affect the difficulty of exercises under the guidance of core literacy.Then,the dimensions are concretized with trigonometric functions to refine the first-level indicators and divide them horizontally,so as to construct the difficulty evaluation system of exercises.In order to improve the content validity of the evaluation system,the evaluation system was improved by consulting experts and according to the modification suggestions put forward by experts.The reliability of the evaluation system was tested by issuing questionnaires.Secondly,the analytic hierarchy process is used to get the weight among the three dimensions,and determine the calculation method of exercise difficulty.Then,using quantitative research method and comparative research method,the exercise code statistics,and based on the construction of exercise difficulty evaluation system and difficulty calculation method to the two versions of the textbook exercises for qualitative analysis and quantitative comparison.Finally,according to the results of qualitative and quantitative analysis,it provides suggestions for teachers' teaching,students' learning and textbook writers' writing.The main conclusions obtained through the study are as follows:1.Situational dimension :(1)There are more exercises without context in the two versions of the textbooks,which reduces the difficulty of the overall exercise;(2)People's Education Edition textbooks pay more attention to the design of the situation than Beijing Normal University edition textbooks;(3)The weighted average of the difficulty of situational examination of trigonometric function chapter exercises in PEP textbooks is higher than that in Beijing Normal University textbooks.2.Core knowledge dimensions :(1)The number of exercises on Angle and radian,concept and properties of trigonometric functions,and simple application of trigonometric functions in the two versions of textbooks tends to be the same;(2)There are more exercises on trigonometric identity transformation in the textbooks of Beijing Normal University;(3)The number of exercises for testing different levels of knowledge in the trigonometric function chapter in the two versions of textbooks decreases step by step;(4)The weighted average of the test difficulty of the core knowledge of trigonometric function exercises in PEP textbooks is higher than that in Beijing Normal University textbooks.3.Dimensions of mathematical core literacy :(1)The tests of mathematical operation and mathematical modeling in the trigonometric function chapter of the two versions of textbooks tend to be consistent,with a small difference in frequency;(2)In terms of the examination of mathematical abstraction and logical reasoning accomplishment by the exercises in the chapter of trigonometric functions,the number of exercises in the textbooks of PEP is more than that of the textbooks of Beijing Normal University.(3)The textbooks of Beijing Normal University have more examinations on the literacy of intuitive imagination;(4)The number of exercises on the three core literacy levels in the two versions of the textbooks is also decreasing step by step;(5)The average difficulty value of the trigonometric function chapter exercises examination core accomplishment in PEP edition is higher than that in Beijing Normal University edition.4.Comprehensive difficulty of exercises in the two versions of textbooks: The comprehensive difficulty value of exercises in the trigonometric functions chapter in the PEP version of textbooks is higher than that in the Beijing Normal University version,but generally speaking,the examination difficulty of exercises in the trigonometric functions chapter in the two versions of textbooks is not high.