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Metamemory or Socratic awareness, a type of metacognition, is both the introspective knowledge of one's own memory capabilities (and strategies that can aid memory) and the processes involved in memory self-monitoring. [1] This self-awareness of memory has important implications for how people learn and use memories.
The theory of metacognition plays a critical role in successful learning, and it's important for both students and teachers to demonstrate understanding of it. Students who underwent metacognitive training including pretesting, self evaluation, and creating study plans performed better on exams. [ 28 ]
Reflective journals help students develop metacognitive skills by having them think about their understanding. According to Pugalee, [58] writing helps students organize their thinking which helps them better understand mathematics. Moreover, writing in mathematics classes helps students problem solve and improve mathematical reasoning.
[57] [58] Research has shown that both components of metacognition play key roles in metaconceptual knowledge and learning. [59] [60] [58] Metamemory, defined as knowing about memory and mnemonic strategies, is an important aspect of metacognition. [61]
Self-regulation is an important construct in student success within an environment that allows learner choice, such as online courses. Within the remained time of explanation, there will be different types of self-regulations such as the focus is the differences between first- and second-generation college students' ability to self-regulate their online learning.
Differential equations are an important area of mathematical analysis with many applications in science and engineering. Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. [1] [2]
Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior (in practice often constituted by task performance).
Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being (hereinafter WMCF) is a book by George Lakoff, a cognitive linguist, and Rafael E. Núñez, a psychologist. Published in 2000, WMCF seeks to found a cognitive science of mathematics, a theory of embodied mathematics based on conceptual metaphor.