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Ziegler, Esther; Edelsbrunner, Peter A.; Star, Jon R. – Journal of Educational Psychology, 2019
Introducing new concepts to learners in an order of increasing complexity appears to be beneficial for learning, but typically introduction of concepts does not always adhere to this principle. We examined whether introducing new algebra concepts in a contrasted manner or in an order of increasing complexity instead of a different more typical…
Descriptors: Interference (Learning), Difficulty Level, Algebra, Mathematics Instruction
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Wibowo, Teguh; Sutawidjaja, Akbar; As'ari, Abdur Rahman; Sulandra, I. Made – International Education Studies, 2017
This research is a qualitative study that aimed to describe the stages of students mathematical imagination in solving mathematical problems. There are three kinds of mathematical imagination in solving mathematical problems, namely sensory mathematical imagination, creative mathematical imagination and recreative mathematical imagination.…
Descriptors: Mathematical Logic, Imagination, Problem Solving, Creative Thinking
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Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2015
The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A three­week long solution process by a pair of ninth­-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…
Descriptors: Attention, Grade 9, Attention Control, Educational Theories
Ye, Cheng; Segedy, James R.; Kinnebrew, John S.; Biswas, Gautam – International Educational Data Mining Society, 2015
This paper discusses Multi-Feature Hierarchical Sequential Pattern Mining, MFH-SPAM, a novel algorithm that efficiently extracts patterns from students' learning activity sequences. This algorithm extends an existing sequential pattern mining algorithm by dynamically selecting the level of specificity for hierarchically-defined features…
Descriptors: Learning Activities, Learning Processes, Data Collection, Student Behavior