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Bobis, Janette – Teaching Children Mathematics, 2007
This article explores the origins and potential benefits of the empty number line for the development of mental computation. It also provides a learner's perspective of its use through the reflections of nine-year-old Emily. (Contains 3 figures.)
Descriptors: Mental Computation, Number Concepts, Elementary School Students, Student Attitudes
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
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Mack, Nancy K. – Teaching Children Mathematics, 2011
Exploring number systems of other cultures can be an enjoyable learning experience that enriches students' knowledge of numbers and number systems in important ways. It helps students deepen mental computation fluency, knowledge of place value, and equivalent representations for numbers. This article describes how the author designed her…
Descriptors: Number Systems, Mental Computation, Number Concepts, Learning Experience
Thomsen, Brian M. – ProQuest LLC, 2017
Too many students are entering post-secondary education lacking foundational mathematics skills that are critical to performance on placement examinations. As a result, students are forced to take remedial courses that are often non-credit bearing and hinder their progress toward graduation. Research suggests that a lack of number sense may…
Descriptors: Computation, Mathematics Achievement, High School Students, Disabilities
Wright, Robert J.; Ellemor-Collins, David; Tabor, Pamela D. – SAGE Publications (CA), 2011
This fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasizing computational fluency and the…
Descriptors: Curriculum Development, Intervention, Mental Computation, Special Education
Chick, Helen – Australian Primary Mathematics Classroom, 2009
Fluency with basic number facts is vital for students' progress in mathematics. Not only does it contribute to students' facility with mental computation and algorithms, but an understanding of numbers and their properties builds a foundation for future mathematical work including algebra. There are many activities that can help students "make…
Descriptors: Numbers, Mental Computation, Number Concepts, Elementary School Mathematics
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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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Reys, Robert E., Ed.; Reys, Barbara J., Ed. – Arithmetic Teacher, 1986
Using factoring as an aid to mental multiplication is illustrated. Other suggestions for teaching mental computation are also included. (MNS)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Mathematics Instruction
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Shen, Hong – Journal of the International Association of Special Education, 2006
The abacus is a calculating tool that has been used in Asia for thousands of years. Mental abacus calculation is a skill in which an abacus image in the mind is used without the actual physical manipulation of the abacus. Using this method, people can perform extremely rapid and accurate mental calculations. Research indicates that abacus training…
Descriptors: Mathematics Education, Moderate Mental Retardation, Mathematics Achievement, Mental Computation
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
Kartambis, Kathy – Australian Primary Mathematics Classroom, 2007
Research has established that children's development of addition and subtraction skills progresses through a hierarchy of strategies that begin with counting-by-one methods through to flexible mental strategies using a combination of knowledge of basic facts and understanding of place value. An important transition point is the shift from the…
Descriptors: Mental Computation, Number Concepts, Subtraction, Arithmetic
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Vale, Colleen – Australian Primary Mathematics Classroom, 1999
Computation activities focusing on speed and accuracy do not provide children with the opportunity to learn or develop their own mental computation strategies. Sets out some goals and ideas for teaching mental computation and introduces a card game for helping children compute mentally. (ASK)
Descriptors: Computation, Educational Games, Elementary Education, Elementary School Mathematics
Weber, William B., Jr. – Focus on Learning Problems in Mathematics, 1999
Discusses overall mental computation achievement and limits discussion to strategies middle school students used when computing with whole numbers, decimals, and fractions. Suggests that the development of conceptual knowledge of numbers is an important prerequisite for the understanding of mental computation procedures. (Contains 31 references.)…
Descriptors: Cognitive Processes, Computation, Decimal Fractions, Fractions
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Dietz, Charles – Perspectives in Education and Deafness, 1993
Strategies for rapid mental computation are explained, including multiplying by 11 (or 21, 31, etc.); adding columns of numbers; and multiplying 2-digit numbers. Rapid mental computation is suggested as a motivator for investigating the underlying mathematical principles. (DB)
Descriptors: Algorithms, Computation, Elementary Secondary Education, Learning Strategies
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