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Callingham, Rosemary; Watson, Jane – Mathematics Education Research Journal, 2004
In this article, data from a study of the mental computation competence of students in grades 3 to 10 are presented. Students responded to mental computation items, presented orally, that included operations applied to fractions, decimals and percents. The data were analysed using Rasch modelling techniques, and a six-level hierarchy of part-whole…
Descriptors: Mental Computation, Competence, Arithmetic, Mathematical Concepts
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Besner, Derek; Borowsky, Ron – Psychological Review, 2006
This paper comments on the article by Plaut and Booth. Plaut and Booth's first simulation shows that there is essentially perfect discrimination between word and nonwords sharing the same orthographic structure when the simulation is carried out in the way we suggested. We take the view that Plaut and Booth's new simulation work settles little…
Descriptors: Mental Computation, Word Recognition, Simulation, Visual Discrimination
Rottmann, Thomas; Peter-Koop, Andrea – Mathematics Education Research Group of Australasia, 2016
This paper introduces a revised model for the development of basic computation skills. The model draws on four key phases, which have proven to be important for the development of calculation strategies and stresses the use of gestures and the verbalisation of concrete and mental images. This seems to be of crucial importance for children with…
Descriptors: Special Needs Students, Elementary School Students, Grade 2, Computation
Bobis, Janette – Australian Primary Mathematics Classroom, 2007
Drawing upon research, theory, classroom and personal experiences, this paper focuses on the development of primary-aged children's computational fluency. It emphasises the critical links between number sense and a child's ability to perform mental and written computation. The case of multi-digit multiplication is used to illustrate these…
Descriptors: Computation, Mathematics Education, Primary Education, Mental Computation
Parrish, Sherry – Math Solutions, 2010
"Number Talks" is: (1) A five- to fifteen-minute classroom conversation around purposefully crafted computation problems that are solved mentally; and (2) The best part of a teacher's day. Whether you want to implement number talks but are unsure of how to begin or have experience but want more guidance in crafting purposeful problems, this…
Descriptors: Problem Solving, Mental Computation, Mathematics Skills, Video Technology
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Velázquez-Iturbide, J. Ángel; Castellanos, M. Eugenia; Hijón-Neira, Raquel – IEEE Transactions on Education, 2016
Recursion is one of the most difficult programming topics for students. In this paper, an instructional method is proposed to enhance students' understanding of recursion tracing. The proposal is based on the use of rules to translate linear recursion algorithms into equivalent, iterative ones. The paper has two main contributions: the…
Descriptors: Computer Science Education, Programming, Teaching Methods, Mathematics
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Roussev, Boris; Rousseva, Yvonna – Decision Sciences Journal of Innovative Education, 2004
Modern software practices call for the active involvement of business people in the software process. Therefore, programming has become an indispensable part of the information systems component of the core curriculum at business schools. In this paper, we present a model-based approach to teaching introduction to programming to general business…
Descriptors: Computer Software, Programming, Business Administration Education, Computation
Goos, Merrilyn, Ed.; Brown, Ray, Ed.; Makar, Katie, Ed. – Mathematics Education Research Group of Australasia, 2008
This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…
Descriptors: Feedback (Response), Constructivism (Learning), Educational Development, Practicums
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Koyunkaya, Melike Yigit – International Journal of Education in Mathematics, Science and Technology, 2018
Students need to construct strong knowledge of angles as well as relationships between angles and side lengths in a triangle to succeed in geometry. Although many researchers pointed out the importance of angles and angle-related concepts, students and teachers have had limited knowledge of these concepts. This study is a part of a larger study,…
Descriptors: Mental Computation, Preservice Teacher Education, Preservice Teachers, Geometric Concepts
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McClary, LaKeisha; Talanquer, Vicente – Journal of Research in Science Teaching, 2011
The central goal of this study was to characterize the mental models of acids and acid strength expressed by advanced college chemistry students when engaged in prediction, explanation, and justification tasks that asked them to rank chemical compounds based on their relative acid strength. For that purpose we completed a qualitative research…
Descriptors: Prediction, Organic Chemistry, Models, Mental Computation
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…
Descriptors: Foreign Countries, Multilingualism, Research Reports, Symbols (Mathematics)
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The third volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains full research report papers. Papers include: (1) Students' Use of ICT Tools: Choices and Reasons (Anne Berit Fuglestad); (2) Interaction of Modalities in Cabri: A Case Study (Fulvia Furinghetti, Francesca Morselli, and…
Descriptors: Foreign Countries, Teacher Effectiveness, Research Reports, Mathematics Instruction
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Bender, Andrea; Beller, Sieghard – Cognitive Science, 2017
Mangarevan traditionally contained two numeration systems: a general one, which was highly regular, decimal, and extraordinarily extensive; and a specific one, which was restricted to specific objects, based on diverging counting units, and interspersed with binary steps. While most of these characteristics are shared by numeration systems in…
Descriptors: Arithmetic, Mental Computation, Anthropology, Archaeology
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Schultheis, Holger; Bertel, Sven; Barkowsky, Thomas – Cognitive Science, 2014
This article presents research into human mental spatial reasoning with orientation knowledge. In particular, we look at reasoning problems about cardinal directions that possess multiple valid solutions (i.e., are spatially underdetermined), at human preferences for some of these solutions, and at representational and procedural factors that lead…
Descriptors: Spatial Ability, Cognitive Processes, Problem Solving, Computation
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Culpepper, Steven Andrew – Journal of Educational and Behavioral Statistics, 2015
A Bayesian model formulation of the deterministic inputs, noisy "and" gate (DINA) model is presented. Gibbs sampling is employed to simulate from the joint posterior distribution of item guessing and slipping parameters, subject attribute parameters, and latent class probabilities. The procedure extends concepts in Béguin and Glas,…
Descriptors: Bayesian Statistics, Models, Sampling, Computation
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