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Showing 1 to 15 of 43 results Save | Export
Heirdsfield, Ann – International Group for the Psychology of Mathematics Education, 2005
This paper reports the teacher actions that promoted the development of students' mental computation. A Year 3 teacher engaged her class in developing mental computation strategies over a ten-week period. Two overarching issues that appeared to support learning were establishing connections and encouraging strategic thinking. (Contains 2 figures.)…
Descriptors: Mental Computation, Teacher Role, Mathematics Instruction, Teaching Methods
Heirdsfield, Ann M. – International Group for the Psychology of Mathematics Education, 2003
The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…
Descriptors: Mental Computation, Mathematical Logic, Mathematics Instruction, Cognitive Processes
Wong, Monica – Mathematics Education Research Group of Australasia, 2010
Learning pathways capture the development of competence in a mathematical domain. They have been developed from empirical studies in the areas of mental computation and emergent numeracy concepts. These pathways afford teachers the opportunity to identify students' current levels of understanding, antecedent understandings and the steps that are…
Descriptors: Mental Computation, Grade 3, Mathematics, Identification
Heirdsfield, Ann – 2000
Literature at national and international levels argues the importance of including mental computation in a mathematics curriculum that promotes number sense. However, mental computation does not feature in importance in the current Queensland mathematics syllabus documents. Hopefully, with the writing of a new mathematics syllabus, mental…
Descriptors: Addition, Arithmetic, Foreign Countries, Grade 3
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
Weber, William B., Jr. – 1996
A major goal of instruction is for students to develop competence with numbers. This study attempts to determine the effect of instructional materials that develop number concepts and connect these concepts to mental computation procedures. The study used 16 classes of eighth-grade students and a pretest-posttest design with two treatment groups.…
Descriptors: Computation, Concept Formation, Grade 8, Interviews
Rumiati, Rumi; Wright, Robert J. – Mathematics Education Research Group of Australasia, 2014
Pat was a 19-year-old attending a Special School for the Intellectually Disabled in Indonesia. She was interviewed by the first author regarding her mental calculation strategies when solving 1- and 2-digit addition and subtraction problems. Results indicate that she was able to see ten as a unit composed of ten ones and was facile in using…
Descriptors: Cognitive Ability, Mental Computation, Special Education, Special Schools
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Norton, Anderson – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this theoretical paper, I consider reversibility as a defining characteristic of mathematics. Inverse pairs of formalized operations, such as multiplication and division, provide obvious examples of this reversibility. However, there are exceptions, such as multiplying by 0. If we are to follow Piaget's lead in defining mathematics as the…
Descriptors: Mathematical Applications, Mathematical Formulas, Mathematics Instruction, Multiplication
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Proulx, Jérôme – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
This study on the mental solving of systems of linear equations is part of a larger research program, aimed to gain a better understanding of the potential of mental mathematics activities with topics/objects other than numbers. Through outlining the study details and the activities engaged with, the paper reports on the variety of strategies…
Descriptors: Mental Computation, Mathematics Activities, Learning Strategies, Equations (Mathematics)
Groves, Susie – 1994
The Calculators in Primary Mathematics Project in Australia was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993.…
Descriptors: Arithmetic, Calculators, Elementary Education, Elementary School Students
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Tague, Jenna; Joseph, Manjula Peter; Zhang, Pingping – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
The focus of the current proposal is to examine the effect of two dynamic simulations on the participants' conceptions of rate of change. Conceptions of rate of change were measured according to Carlson et al.'s (2002) Mental Actions framework and how the participants related the physical simulations to the graphical representations (Heid, et al.,…
Descriptors: Simulation, Mental Computation, Algebra, Mathematical Logic
Carroll, William M. – 1996
This paper presents research conducted as part of the field test of the University of Chicago School Mathematics Project's (UCSMP) curriculum, Fifth Grade Everyday Mathematics. The UCSMP curriculum is one of the current reform programs funded by the National Science Foundation to implement the Standards of the National Council of Teachers of…
Descriptors: Arithmetic, Cognitive Ability, Demonstration Programs, Elementary School Students
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Altiparmak, Kemal – International Journal of Research in Education and Science, 2016
Soroban abacus training is called as mental arithmetic training in our country. It is known for mental arithmetic to increase the ability of four mode operations. Besides this, how is the situation for the students which are having Soroban abacus training in the terms of problem solving abilities, creativity, development of concepts, attraction…
Descriptors: Foreign Countries, Arithmetic, Mathematics Instruction, Mathematics Teachers
Watson, Jane, Ed.; Beswick, Kim, Ed. – Mathematics Education Research Group of Australasia, 2007
This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…
Descriptors: Teacher Education, Secondary School Mathematics, Concept Mapping, Student Teachers
Ortiz, Enrique – Online Submission, 2010
The purpose of this study was to analyze participants' levels of hemoglobin as they performed arithmetic mental calculations using Optical Topography (OT, helmet type brain-scanning system, also known as Functional Near-Infrared Spectroscopy or fNIRS). A central issue in cognitive neuroscience involves the study of how the human brain encodes and…
Descriptors: Topography, Mental Computation, Memorization, Brain
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