Using the method of combining qualitative and quantitative methods, the content of the “vectors in the plane” in the compulsory mathematics textbook of ordinary senior high school published by People’ s Education Press, Beijing Normal University Press and Hunan Education Press in 2019 is compared and analyzed from two aspects of content structure and content difficulty. In terms of content structure: the overall structure of the “vectors in the plane and its application” in the textbook of the three editions is basically consistent; The presentation mode in the PEP focuses on considering the existing knowledge structure of students, the BNUP pays attention to the unity of the internal logic and the physical background of the vector, and the HEP pays attention to the rigor of mathematical; the BNUP has the largest number of examples and exercises, the HEP is in the middle, and the PEP is the least. In terms of the content difficulty: the content difficulty of the “vectors in the plane” in the HEP is the most difficult, the BNUP is in the middle, and the PEP is the smallest.

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Comparative Study of the “Vectors in the Plane” in Senior High School Mathematics Textbooks of the Three Editions

  • Fei Yan,
  • Shihu Lv

摘要

Using the method of combining qualitative and quantitative methods, the content of the “vectors in the plane” in the compulsory mathematics textbook of ordinary senior high school published by People’ s Education Press, Beijing Normal University Press and Hunan Education Press in 2019 is compared and analyzed from two aspects of content structure and content difficulty. In terms of content structure: the overall structure of the “vectors in the plane and its application” in the textbook of the three editions is basically consistent; The presentation mode in the PEP focuses on considering the existing knowledge structure of students, the BNUP pays attention to the unity of the internal logic and the physical background of the vector, and the HEP pays attention to the rigor of mathematical; the BNUP has the largest number of examples and exercises, the HEP is in the middle, and the PEP is the least. In terms of the content difficulty: the content difficulty of the “vectors in the plane” in the HEP is the most difficult, the BNUP is in the middle, and the PEP is the smallest.