Ways of Developing Creative Thinking and Reasoning of Students in Mathematics Learning

Sandip Dhungana, Ramesh Thapa
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Abstract

Reasoning skill is one of the main components of mathematical competency (NCTM, 2014). Mathematics students use mainly two types of reasoning skills namely imitative reasoning and creative reasoning in solving mathematical tasks. The textbook tasks in our context are of routine types which are solvable using imitative reasoning. Most mathematics teachers use prescribed textbooks in lesson planning and teaching (Thomson & Fleming, 2004) which ultimately promotes imitative reasoning among the students as compared to creative reasoning. Moreover, many mathematics teachers still follow the traditional chalk-and-talk banking pedagogy which does not support the enhancement of creative thinking and reasoning skills. This literature-based research study has identified some of the ways to develop the creative thinking and reasoning skills of mathematics students through the intense study of the available research articles, thesis, and books in the field of mathematical thinking and creativity. This study has found the positive impact of productive struggle and adversity quotient on students’ creative thinking and reasoning skills. Likewise, problem-posing and problem-solving skills have been found to be essential skills for enhancing creativity. This study has also found modern student-centric teaching approaches like the ADI (Argument-Driven Inquiry) approach and the RME (Realistic Mathematics Education) approach beneficial in improving reasoning skills. This study also found CMR (Creative Mathematically Founded Reasoning) tasks to be helpful in increasing the creative reasoning skills of mathematics students.
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在数学学习中培养学生创新思维和推理能力的方法
推理能力是数学能力的主要组成部分之一(NCTM, 2014)。数学学生在解决数学任务时主要使用两种推理技能,即模仿推理和创造性推理。在我们的语境中,教科书上的任务是常规类型的,可以用模仿推理来解决。大多数数学教师在课程规划和教学中使用规定的教科书(Thomson & Fleming, 2004),这最终促进了学生的模仿推理,而不是创造性推理。此外,许多数学教师仍然遵循传统的粉笔和谈话的银行教学法,这并不支持创造性思维和推理能力的提高。这项基于文献的研究通过对数学思维和创造力领域的现有研究文章、论文和书籍的深入研究,确定了一些培养数学学生创造性思维和推理能力的方法。本研究发现生产性挣扎和逆境商对学生的创造性思维和推理能力有积极的影响。同样,提出问题和解决问题的技能也被发现是提高创造力的基本技能。这项研究还发现,现代以学生为中心的教学方法,如论据驱动型探究(ADI)方法和现实数学教育(RME)方法,有利于提高推理能力。本研究还发现CMR(创造性数学基础推理)任务有助于提高数学学生的创造性推理技能。
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