Research in Mathematical Education (한국수학교육학회지시리즈D:수학교육연구)

Korean Society of Mathematical Education (한국수학교육학회)
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Development of Mathematical Task Analytic Framework: Proactive and Reactive Features

  • Sheunghyun, Yeo (Department of Mathematics Education, Daegu National University of Education) ;
  • Jung, Colen (Department of Mathematical & Natural Sciences, Chadron State College) ;
  • Na Young, Kwon (Department of Mathematics Education, Inha University) ;
  • Hoyun, Cho (School of Education, Capital University) ;
  • Jinho, Kim (Department of Mathematics Education, Daegu National University of Education) ;
  • Woong, Lim (Graduate School of Education, Yonsei University)
  • Received : 2022.12.05
  • Accepted : 2022.12.29
  • Published : 2022.12.31
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Abstract

A large body of previous studies investigated mathematical tasks by analyzing the design process prior to lessons or textbooks. While researchers have revealed the significant roles of mathematical tasks within written curricular, there has been a call for studies about how mathematical tasks are implemented or what is experienced and learned by students as enacted curriculum. This article proposes a mathematical task analytic framework based on a holistic definition of tasks encompassing both written tasks and the process of task enactment. We synthesized the features of the mathematical tasks and developed a task analytic framework with multiple dimensions: breadth, depth, bridging, openness, and interaction. We also applied the scoring rubric to analyze three multiplication tasks to illustrate the framework by its five dimensions. We illustrate how a series of tasks are analyzed through the framework when students are engaged in multiplicative thinking. The framework can provide important information about the qualities of planned tasks for mathematics instruction (proactive) and the qualities of implemented tasks during instruction (reactive). This framework will be beneficial for curriculum designers to design rich tasks with more careful consideration of how each feature of the tasks would be attained and for teachers to transform mathematical tasks with the provision of meaningful learning activities into implementation.

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References

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