Statistical model is one of the mathematical models. Knowing which statistical models students will use in solving problems and their level is helpful to cultivate students’ statistical modelling capability. This study is based on the New Century Mathematics (NCM), one of the mainstream textbooks in China. Taking the unit “Fallen Leaves on Campus” in the field of synthesis and practical teaching in Grade 5 as an example, by means of the method of personal interview, it is found that students will utilize descriptive models and inferential models when solving the tasks of “calculating the area of a fallen leaf” and “counting the number of leaves of a tree”. And it is also found that students have shortage in the awareness of selecting representative data and difficulties in solving the problem of “counting the number of leaves of a tree”. Therefore, this paper put forward two suggestions for the compilation of the content of “Synthesis and Practice” in mathematics teaching materials: first, more activities and opportunities for students to choose appropriate data can be added in the compilation of teaching materials; second, it is required to consider whether students can really complete the tasks in the textbook.

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An Empirical Study on Fifth Grade Students Using Statistical Model to Solve Practical Problems

  • Qinnan Xie,
  • Qinqiong Zhang

摘要

Statistical model is one of the mathematical models. Knowing which statistical models students will use in solving problems and their level is helpful to cultivate students’ statistical modelling capability. This study is based on the New Century Mathematics (NCM), one of the mainstream textbooks in China. Taking the unit “Fallen Leaves on Campus” in the field of synthesis and practical teaching in Grade 5 as an example, by means of the method of personal interview, it is found that students will utilize descriptive models and inferential models when solving the tasks of “calculating the area of a fallen leaf” and “counting the number of leaves of a tree”. And it is also found that students have shortage in the awareness of selecting representative data and difficulties in solving the problem of “counting the number of leaves of a tree”. Therefore, this paper put forward two suggestions for the compilation of the content of “Synthesis and Practice” in mathematics teaching materials: first, more activities and opportunities for students to choose appropriate data can be added in the compilation of teaching materials; second, it is required to consider whether students can really complete the tasks in the textbook.