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Hitt, Fernando; González-Martín, Alejandro S. – Educational Studies in Mathematics, 2015
Semiotic representations have been an important topic of study in mathematics education. Previous research implicitly placed more importance on the development of institutional representations of mathematical concepts in students rather than other types of representations. In the context of an extensive research project, in progress since 2005,…
Descriptors: Predictor Variables, Debate, Reflection, Cooperative Learning
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Barmby, Patrick; Harries, Tony; Higgins, Steve; Suggate, Jennifer – Educational Studies in Mathematics, 2009
We examine whether the array representation can support children's understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a "representational-reasoning" model of understanding, where understanding is seen as connections being made between mental representations of concepts, with…
Descriptors: Computer Uses in Education, Multiplication, Mathematical Concepts, Mathematical Logic
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Lu, Chun-Hung; Wu, Chia-Wei; Wu, Shih-Hung; Chiou, Guey-Fa; Hsu, Wen-Lian – Educational Technology & Society, 2005
This paper presents a new model for simulating procedural knowledge in the problem solving process with our ontological system, InfoMap. The method divides procedural knowledge into two parts: process control and action performer. By adopting InfoMap, we hope to help teachers construct curricula (declarative knowledge) and teaching strategies by…
Descriptors: Problem Solving, Teaching Methods, Models, Educational Games