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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
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
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Reys, Barbara J. – Arithmetic Teacher, 1986
What mental computation and estimation are, what is known from research about each process, and what can help students develop these skills are discussed. (MNS)
Descriptors: Elementary Education, Elementary School Mathematics, Estimation (Mathematics), Mathematics Instruction
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
Peer reviewed Peer reviewed
Robinson, Sheri L.; Skinner, Christopher H. – School Psychology Quarterly, 2002
Study extends research on the interspersal procedure using standardized mathematics subtests with different task demands. Results showed that the interspersal procedure enhanced academic performance on a Mental Computation subtest, but not a Multiplication subtest. Results indicate that the efficacy of the interspersal procedure is affected…
Descriptors: Difficulty Level, Evaluation Methods, Junior High Schools, Mathematics Achievement
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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Reys, Barbara J.; And Others – School Science and Mathematics, 1993
Examined elementary and junior high school students in grades 2, 5, and 7 to determine baseline data about student performance on mental computation. Reports performance levels, difficulties of different types of mental computation, and preferences for doing computations mentally, with calculators, or by hand for each grade level. (MDH)
Descriptors: Academic Achievement, Computation, Elementary Education, Elementary School Students
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Reys, Barbara J.; Reys, Robert E. – Arithmetic Teacher, 1986
After summing up the current status related to estimation and mental computation, what needs to be done to promote increased instruction on these topics is discussed. (MNS)
Descriptors: Editorials, Educational Change, Elementary Education, Elementary School Mathematics
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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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Reys, Robert E. – Elementary School Journal, 1984
Begins with a definition of mental computation and then provides an overview of its evolution during the twentieth century. Significant benefits from teaching mental computation are highlighted, along with a framework and guidelines for instructing elementary school students. A parallel discussion is also provided for computational estimation. (RH)
Descriptors: Computation, Elementary Education, Estimation (Mathematics), History
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Zhang, Qing; Brode, Ly; Cao, Tingting; Thompson, J. E. – Journal of Chemical Education, 2017
We describe the construction and initial demonstration of a new instructional tool called ROXI (Research Opportunity through eXperimental Instruction). The system interfaces a series of electronic sensors to control software via the Arduino platform. The sensors have been designed to enable low-cost data collection in laboratory courses. Data are…
Descriptors: Science Instruction, Chemistry, College Science, Secondary School Science
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Hickendorff, Marian; van Putten, Cornelis M.; Verhelst, Norman D.; Heiser, Willem J. – Journal of Educational Psychology, 2010
Individual differences in strategy use (choice and accuracy) were analyzed. A sample of 362 Grade 6 students solved complex division problems under 2 different conditions. In the choice condition students were allowed to use either a mental or a written strategy. In the subsequent no-choice condition, they were required to use a written strategy.…
Descriptors: Individual Differences, Grade 6, Item Response Theory, Computation
Mochon, Simon; Roman, Josueth Vasquez – Focus on Learning Problems in Mathematics, 1998
Explores students' abilities in mental computation, finds out the strategies they use most naturally, and develops a theoretical framework by giving 60 children a questionnaire and interviewing them on a series of arithmetic operations to be solved by mental computation. Generates a classification of children's strategies. Contains 31 references.…
Descriptors: Arithmetic, Classification, Computation, Elementary Education
Peer reviewed Peer reviewed
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Tsang, Jessica M.; Blair, Kristen P.; Bofferding, Laura; Schwartz, Daniel L. – Cognition and Instruction, 2015
How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…
Descriptors: Neurological Organization, Mathematics Instruction, Numbers, Grade 4
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