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Ghazali, Munirah; Alias, Rohana; Ariffin, Noor Asrul Anuar; Ayub, Ayminsyadora – Journal of Science and Mathematics Education in Southeast Asia, 2010
This paper reports on a study to examine mental computation strategies used by Year 1, Year 2, and Year 3 students to solve addition and subtraction problems. The participants in this study were twenty five 7 to 9 year-old students identified as excellent, good and satisfactory in their mathematics performance from a school in Penang, Malaysia.…
Descriptors: Mental Computation, Foreign Countries, Number Concepts, Subtraction
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
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Liu, Fuchang – School Science and Mathematics, 2009
Four hundred and three 3rd- and 5th-grade Chinese students took the Multiplication Estimation Test or participated in the interview on it, designed to assess their computational estimation performance on whole-number multiplication. Students perform better when tasks are presented visually than orally. Third graders tend to use rounding based…
Descriptors: Mental Computation, Grade 5, Grade 3, Arithmetic
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Ellemor-Collins, David; Wright, Robert – Australian Journal of Learning Difficulties, 2011
Research literature is reviewed, identifying a need to design instruction to support multi-digit mental computation and critiquing conventional place value instruction. A distinctive instructional domain is proposed, called conceptual place value (CPV)--incrementing and decrementing numbers by units of ones, tens and hundreds. A design research…
Descriptors: Instructional Design, Mental Computation, Number Concepts, Grade 4
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Chesney, Marlene – Australian Primary Mathematics Classroom, 2013
Marlene Chesney describes a piece of research where the participants were asked to complete a calculation, 16 + 8, and then asked to describe how they solved it. The diversity of invented strategies will be of interest to teachers along with the recommendations that are made. So "how do 'you' solve 16 + 8?"
Descriptors: Mathematics Instruction, Mental Computation, Mathematical Logic, Addition
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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Lafay, Anne; St-Pierre, Marie-Catherine; Macoir, Joël – Journal of Learning Disabilities, 2017
Numbers may be manipulated and represented mentally over a compressible number line oriented from left to right. According to numerous studies, one of the primary reasons for dyscalculia is related to improper understanding of the mental number line. Children with dyscalculia usually show difficulty when they have to place Arabic numbers on a…
Descriptors: Learning Disabilities, Grade 3, Elementary School Students, Foreign Countries
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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
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Hamdan, Noora; Gunderson, Elizabeth A. – Developmental Psychology, 2017
Children's ability to place fractions on a number line strongly correlates with math achievement. But does the number line play a causal role in fraction learning or does it simply index more advanced fraction knowledge? The number line may be a particularly effective representation for fraction learning because its properties align with the…
Descriptors: Fractions, Number Concepts, Pretests Posttests, Elementary School Students
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Colomer, Carla; Re, Anna M.; Miranda, Ana; Lucangeli, Daniela – Learning Disabilities: A Contemporary Journal, 2013
The aim of this study was to investigate the specific numerical and calculation abilities of 28 children with ADHD without comorbid mathematical learning disabilities (LD), ranging from the 1st to the 5th grade of primary school, and to examine the stability or the development of the arithmetic profile. Our results showed that a high percentage of…
Descriptors: Numeracy, Computation, Mathematics Skills, Children
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Caviola, Sara; Mammarella, Irene C.; Cornoldi, Cesare; Lucangeli, Daniela – Journal of Experimental Child Psychology, 2012
The involvement of working memory (WM) was examined in two types of mental calculation tasks: exact and approximate. Specifically, children attending Grades 3 and 4 of primary school were involved in three experiments that examined the role of verbal and visuospatial WM in solving addition problems presented in vertical or horizontal format. For…
Descriptors: Mental Computation, Short Term Memory, Grade 3, Grade 4
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Huffman, Lisa F.; Fletcher, Kathryn, L.; Bray, Norman W.; Grupe, Lisa A. – Education and Training in Developmental Disabilities, 2004
This microgenetic study investigated similarities and differences in use and discovery of addition strategies in children with and without mild mental retardation across 24 sessions. Nine children with mild mental retardation in third through fifth grade classrooms and 14 children without mental retardation in kindergarten classrooms were tested…
Descriptors: Grade 5, Mild Mental Retardation, Arithmetic, Mathematics Skills
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Barrouillet, Pierre; Mignon, Mathilde; Thevenot, Catherine – Journal of Experimental Child Psychology, 2008
The aim of this study was to investigate the strategies used by third graders in solving the 81 elementary subtractions that are the inverses of the one-digit additions with addends from 1 to 9 recently studied by Barrouillet and Lepine. Although the pattern of relationship between individual differences in working memory, on the one hand, and…
Descriptors: Mental Computation, Memory, Grade 3, Subtraction
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Brissiaud, Remi; Sander, Emmanuel – Developmental Science, 2010
Before instruction, children solve many arithmetic word problems with informal strategies based on the situation described in the problem. A Situation Strategy First framework is introduced that posits that initial representation of the problem activates a situation-based strategy even after instruction: only when it is not efficient for providing…
Descriptors: Problem Solving, Mental Computation, Word Problems (Mathematics), Arithmetic
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