A Framework to Design Creativity-Fostering Mathematical Tasks

IF 1.9 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH International Journal of Science and Mathematics Education Pub Date : 2024-02-21 DOI:10.1007/s10763-024-10449-3
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Abstract

Fostering students’ mathematical creativity is important for their understanding and success in mathematics courses as well as their persistence in STEM, but it necessitates intentional instructional actions, such as designing and implementing tasks that have the potential to foster creativity. As teaching innovation requires support for instructors who implement them, we developed a creativity-fostering task design framework that can be used by instructors of undergraduate mathematics courses. In this paper, we share this framework and its research-based development process. The framework includes research-based task features and aligns with the Creativity-in-Progress Reflection (CPR) on problem-solving, a formative assessment instrument. We share two creativity-fostering task samples for Calculus 1 courses as we notice that this course could be enhanced with such tasks. We also discuss ways in which Calculus 1 instructors utilized task features and framework as they designed their own tasks. We observed that the multiple answers and open-ended features of creativity-fostering tasks were frequently incorporated in instructors’ tasks; meanwhile, the framework provided opportunities for instructors to be intentional about creating tasks that incorporate mathematical actions such as making connections and taking risks.

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设计培养创造力的数学任务的框架
摘要 培养学生的数学创造力对于他们理解数学课程、在数学课程中取得成功以及坚持学习科学、技术、工程和数学都非常重要,但这需要有意识的教学行动,例如设计和实施具有培养创造力潜力的任务。由于教学创新需要实施创新的教师的支持,我们开发了一个促进创造力的任务设计框架,可供本科数学课程的教师使用。在本文中,我们将分享这一框架及其基于研究的开发过程。该框架包括基于研究的任务特征,并与形成性评估工具 "问题解决过程中的创造力反思"(CPR)相一致。我们分享了两个微积分 1 课程的创造力培养任务样本,因为我们注意到该课程可以通过此类任务得到提升。我们还讨论了微积分 1 的教师在设计自己的任务时如何利用任务的特点和框架。我们注意到,创造力培养任务的多答案和开放式特点经常被纳入教师的任务中;同时,该框架为教师提供了机会,使他们能够有意识地创建包含数学行动(如建立联系和承担风险)的任务。
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来源期刊
CiteScore
5.10
自引率
9.10%
发文量
87
期刊介绍: The objective of this journal is to publish original, fully peer-reviewed articles on a variety of topics and research methods in both science and mathematics education. The journal welcomes articles that address common issues in mathematics and science education and cross-curricular dimensions more widely. Specific attention will be paid to manuscripts written by authors whose native language is not English and the editors have made arrangements for support in re-writing where appropriate. Contemporary educators highlight the importance of viewing knowledge as context-oriented and not limited to one domain. This concurs with current curriculum reforms worldwide for interdisciplinary and integrated curricula. Modern educational practice also focuses on the use of new technology in assisting instruction which may be easily implemented into such an integrated curriculum. The journal welcomes studies that explore science and mathematics education from different cultural perspectives.
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