数学关键能力在高中数学教材习题中的表现研究——以人教A版“函数”为例

A Study on the Performance of Key Mathematics Abilities in High School Mathematics Textbook Exercises—Taking the PEP Version A “Functions” as an Example

摘要: 随着社会及教育界对学生的能力要求越来越高，学生的学业负担也随之加重，教材习题研究将成为今后需要关注的话题。本文将从数学关键能力的角度出发，采用定量及文献分析法，对高中数学人教A版教材必修第一册中函数章节的习题作一个全面分析。主要考察习题中不同关键能力类型和水平等级的题目占比，分析关键能力在教材中的表现情况，总结出习题设计要有侧重性，要迎合教材特点、划分水平等级等启示，从而更好的体现习题的适切性，并且通过这些启示进行习题设计，针对性地锻炼学生的各类型能力，减轻作业负担，进一步发展学生的关键能力。

Abstract: As society and education increasingly demand students’ abilities, students’ academic burden also increases, and the research of textbook exercises will become a topic that needs attention in the future. From the perspective of key mathematical abilities, this paper will use quantitative and li-terature analysis methods to make a comprehensive analysis of the exercises in the function chapter in the first volume of the compulsory A textbook for high school mathematicians. It mainly examines the proportion of different key ability types and level levels in the exercises, analyzes the performance of key abilities in the textbook, summarizes that the design of the exercises should be focused, cater to the characteristics of the textbook, divide the level and other enlightenments, so as to better reflect the relevance of the exercises, and through these enlightenments for the design of exercises, targeted exercise of students’ various types of abilities, reduce homework burden, and further develop students’ key abilities.