Mathematical Modeling of Forgetfulness and Memorization of Mathematical Concepts

E. Bonyah, Ernest Larbi, Raphael Owusu
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引用次数: 1

Abstract

Memorization and forgetfulness in Mathematics Education have been major issues in most developing countries, including Ghana. This work explored forgetfulness and memorization in the context of the fractional calculus domain using the Mittag-Leffler function. The Sumudu transform was employed to obtain a special solution. The existence and uniqueness of solutions was established using the concept of the fixed-point theory. It is established that fractional order plays a major role in memorization and forgetfulness of mathematical concepts. It is concluded that factors that enhance the teaching and learning of mathematical concepts should be encouraged.
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数学概念遗忘与记忆的数学模型
数学教育中的死记硬背和健忘一直是包括加纳在内的大多数发展中国家的主要问题。本研究利用Mittag-Leffler函数探讨分数阶微积分领域的遗忘和记忆。利用Sumudu变换得到一个特殊解。利用不动点理论的概念,建立了解的存在唯一性。分数顺序在数学概念的记忆和遗忘中起着重要的作用。结论是应鼓励促进数学概念教与学的因素。
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