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Mathematics textbooks play an essential role in providing students with learning opportunities for reasoning and proving (RP). Researchers showed that tasks used by teachers were directly related to those provided by mathematics textbooks. Yet, little is known about the learning opportunities offered by elementary textbooks for students to learn RP in China. This study analyzed six volumes of New Century Mathematics (NCM) textbooks, focusing on RP’s opportunities in written tasks based on a revised analytical framework. The results showed that the textbooks we analyzed in this study provide students with more opportunities to engage in the RP of the algebraic domain, especially in narrative sets. In addition, in terms of sub-components and representation, the opportunities provided by textbooks were different in narrative sets and exercise sets.

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Opportunities to Learn Reasoning and Proving in the Algebra of NCM Mathematics Textbooks

  • 会议论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Da Zhou,
  • Jinqing Liu,
  • Qian Wu,
  • Qingqing Ye,
  • Jian Liu

摘要

Mathematics textbooks play an essential role in providing students with learning opportunities for reasoning and proving (RP). Researchers showed that tasks used by teachers were directly related to those provided by mathematics textbooks. Yet, little is known about the learning opportunities offered by elementary textbooks for students to learn RP in China. This study analyzed six volumes of New Century Mathematics (NCM) textbooks, focusing on RP’s opportunities in written tasks based on a revised analytical framework. The results showed that the textbooks we analyzed in this study provide students with more opportunities to engage in the RP of the algebraic domain, especially in narrative sets. In addition, in terms of sub-components and representation, the opportunities provided by textbooks were different in narrative sets and exercise sets.