As the most important resource for mathematics learning, mathematics textbooks directly affect teachers’ teaching activities and students’ learning, the presentation of its content has always been one of the focuses of textbook attention and research. The content of textbooks should not merely be the presentation of concepts, theorems and other mathematical facts. As students’ learning materials, mathematical problems should be an important part of mathematics textbooks. As P. R. Halmos said, “Problem is the heart of mathematics”, the real component of mathematics is the raising and solving of problems. The textbook of version of Beijing Normal University Press is based on the model of “problem situation-mathematical modeling-explanation, application and expansion”, which builds a platform for students to learn mathematics by trying to solve various problems. Based on the existing researches on the types of questions, classroom questions, textbook questions and Bloom’s target taxonomy, this research statistically collation the problems in the textbooks, divides them into 5 types according to their characteristics, analyzes and studies their specific distribution, some of their characteristics revealed in textbooks and how textbooks provide students in different fields and grades with different types of problems.

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Study on the Types of Problems in Junior High School Mathematics Textbooks

  • Junna Yang,
  • Xiaomei Liu,
  • Yihan Wang

摘要

As the most important resource for mathematics learning, mathematics textbooks directly affect teachers’ teaching activities and students’ learning, the presentation of its content has always been one of the focuses of textbook attention and research. The content of textbooks should not merely be the presentation of concepts, theorems and other mathematical facts. As students’ learning materials, mathematical problems should be an important part of mathematics textbooks. As P. R. Halmos said, “Problem is the heart of mathematics”, the real component of mathematics is the raising and solving of problems. The textbook of version of Beijing Normal University Press is based on the model of “problem situation-mathematical modeling-explanation, application and expansion”, which builds a platform for students to learn mathematics by trying to solve various problems. Based on the existing researches on the types of questions, classroom questions, textbook questions and Bloom’s target taxonomy, this research statistically collation the problems in the textbooks, divides them into 5 types according to their characteristics, analyzes and studies their specific distribution, some of their characteristics revealed in textbooks and how textbooks provide students in different fields and grades with different types of problems.