<p>This study investigates the learning opportunities pertaining to geometric transformations within the New Century Mathematics (NCM) textbooks used in China’s primary schools. To evaluate these opportunities, we developed a specialized analytical model, the SIC model (Situation Representativeness, Information Type, Cognitive Level), providing a nuanced understanding of the educational landscape in relation to geometric transformations. The findings reveal that the NCM textbooks offer a comprehensive and well-balanced curriculum on geometric transformations, closely adhering to the specified guidelines of the national curriculum standards. Specifically, the analysis shows that the NCM textbooks achieve an average learning opportunity score of 0.90 out of a possible 1.00—a high score that highlights the curriculum’s effectiveness in providing quality learning opportunities in this area. Notably, among the three types of geometric transformations examined—reflection (axial symmetry), translation, and rotation—the content related to rotation exhibits slightly higher learning opportunity scores compared to the others. By examining the current state of learning opportunities within Chinese teaching materials, particularly in the realm of geometric transformations, this research provides valuable insights into the strengths of the existing curriculum and lays a foundation for further exploration and enhancement in the field of mathematics education research.</p>

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Opportunities to Learn Geometric Transformation in Chinese Mathematics Textbook: A Primary School Example

  • Zhiyong Xie,
  • Ying Deng,
  • Zhikun Zhang,
  • Jian Liu

摘要

This study investigates the learning opportunities pertaining to geometric transformations within the New Century Mathematics (NCM) textbooks used in China’s primary schools. To evaluate these opportunities, we developed a specialized analytical model, the SIC model (Situation Representativeness, Information Type, Cognitive Level), providing a nuanced understanding of the educational landscape in relation to geometric transformations. The findings reveal that the NCM textbooks offer a comprehensive and well-balanced curriculum on geometric transformations, closely adhering to the specified guidelines of the national curriculum standards. Specifically, the analysis shows that the NCM textbooks achieve an average learning opportunity score of 0.90 out of a possible 1.00—a high score that highlights the curriculum’s effectiveness in providing quality learning opportunities in this area. Notably, among the three types of geometric transformations examined—reflection (axial symmetry), translation, and rotation—the content related to rotation exhibits slightly higher learning opportunity scores compared to the others. By examining the current state of learning opportunities within Chinese teaching materials, particularly in the realm of geometric transformations, this research provides valuable insights into the strengths of the existing curriculum and lays a foundation for further exploration and enhancement in the field of mathematics education research.