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Peer reviewed

Levin, James A. – Educational Studies in Mathematics, 1981

A range of estimation techniques are described, and a series of mental computation procedures based on concepts of measurement and real numbers are presented in detail. (MP)

Descriptors: Arithmetic, Computation, Educational Change, Elementary Education

Peer reviewed

McIntosh, Alistair; And Others – Educational Studies in Mathematics, 1995

Study of the performance of nearly 2,000 students in grades 2 through 9 on a variety of mental computation tasks using visual and oral presentation found a wide variation in performance within the sample of each country at each grade level. (33 references) (MKR)

Descriptors: Cognitive Ability, Computation, Cross Cultural Studies, Elementary School Students

Csíkos, Csaba – Educational Studies in Mathematics, 2016

The focus of this study is the relationship between students' performance in mental calculation and the strategies they use when solving three-digit mental addition problems. The sample comprises 78 4th grade students (40 boys and 38 girls). Their mean age was 10 years and 4 months. The main novelties of the current research include (1)…

Descriptors: Elementary School Mathematics, Elementary School Students, Addition, Mental Computation

Voutsina, Chronoula – Educational Studies in Mathematics, 2016

Empirical research has documented how children's early counting develops into an increasingly abstract process, and initial counting procedures are reified as children develop and use more sophisticated counting. In this development, the learning of different oral counting sequences that allow children to count in steps bigger than one is seen as…

Descriptors: Computation, Young Children, Mathematics Instruction, Mathematics Education

Peer reviewed

Jurdak, Murad; Shahin, Iman – Educational Studies in Mathematics, 1999

Examines the computational strategies of 10 young street vendors in Beirut by describing, comparing, and analyzing computational strategies used in solving three types of problems: (1) transactions in the workplace; (2) word problems; and (3) computation exercises in a school-like setting. Indicates that vendors' use of semantically-based mental…

Descriptors: Arithmetic, Cognitive Processes, Computation, Early Adolescents

Selter, Christoph; Prediger, Susanne; Nuhrenborger, Marcus; Hussmann, Stephan – Educational Studies in Mathematics, 2012

Subtraction can be understood by two basic models--taking away (ta) and determining the difference (dd)--and by its inverse relation to addition. Epistemological analyses and empirical examples show that the two models are not relevant only in single-digit arithmetic. As curricula should be developed in a longitudinal perspective on mathematics…

Descriptors: Equations (Mathematics), Mathematics Instruction, Learning Processes, Subtraction

Murphy, Carol – Educational Studies in Mathematics, 2004

This study provides an in-depth analysis of children's use of a taught mental calculation strategy. Three children (aged eight to nine years) who demonstrated contrasting spontaneous calculation approaches, were interviewed following the direct instruction of a calculation strategy. Their responses are explored in relation to constructivist and…

Descriptors: Constructivism (Learning), Mental Computation, Children, Arithmetic

Peer reviewed

Threlfall, John – Educational Studies in Mathematics, 2002

Suggests that strategy choice is a misleading characterization of efficient mental calculation and that teaching mental calculation methods as a whole is not conducive to flexibility. Proposes an alternative in which calculation is thought of as an interaction between noticing and knowledge. Presents an associated teaching approach to promote…

Descriptors: Arithmetic, Elementary Education, Learning Strategies, Mathematics Instruction

Peer reviewed

Foxman, Derek; Beishuizen, Meindert – Educational Studies in Mathematics, 2002

Reanalyzes data obtained in 1987 on mental calculation strategies used by 11-year-olds in England, Wales, and Northern Ireland. Classifies mental strategies developed in the past decade in international research. Compares frequency and effectiveness of the strategies used by pupils of different levels of attainment. Discusses basic arithmetic…

Descriptors: Addition, Arithmetic, Basic Skills, Division

Barmby, Patrick; Harries, Tony; Higgins, Steve; Suggate, Jennifer – Educational Studies in Mathematics, 2009

We examine whether the array representation can support children's understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a "representational-reasoning" model of understanding, where understanding is seen as connections being made between mental representations of concepts, with…

Descriptors: Computer Uses in Education, Multiplication, Mathematical Concepts, Mathematical Logic

Peer reviewed

Selter, Christoph – Educational Studies in Mathematics, 2001

Describes the success, the methods (mental, informal written, standard algorithm) and the strategies of informal written arithmetic to be observed when 300 elementary students worked on six addition and six subtraction problems with three-digit numbers. (Author/MM)

Descriptors: Addition, Algorithms, Arithmetic, Cognitive Processes

Ernest, Paul – Educational Studies in Mathematics, 2006

A semiotic perspective on mathematical activity provides a way of conceptualizing the teaching and learning of mathematics that transcends and encompasses both psychological perspectives focussing exclusively on mental structures and functions, and performance-focussed perspectives concerned only with student's behaviours. Instead it considers the…

Descriptors: Semiotics, Mathematics Activities, Numbers, Mathematical Concepts

Peer reviewed

Baroody, Arthur J. – Educational Studies in Mathematics, 1988

A training experiment with 30 mentally handicapped children tested two models of mental-arithmetic development. Children's initial responses to a mental-addition task appeared to be the product of a mechanical prescription. Errors appeared to be more errors of method than of recall. (MNS)

Descriptors: Addition, Cognitive Processes, Educational Research, Elementary Education

Peer reviewed

Hope, Jack A. – Educational Studies in Mathematics, 1985

The processes and procedures used by expert mental calculators are identified from a literature review. Experts are characterized by knowledge of a variety of methods, ability to recall numerical equivalents, and ability to remember the numbers involved in various stages of calculations. (MNS)

Descriptors: Adults, Cognitive Processes, Computation, Educational Research

Peer reviewed

Hedren, Rolf – Educational Studies in Mathematics, 1985

Studied for three years were eight Swedish classes with pupils aged 10-12 using calculators whenever they could be of use, along with experimental textbooks. The experimental classes were as competent as control classes in mental arithmetic and calculations with simple algorithms, and had better understanding of numbers and problem solving. (MNS)

Descriptors: Calculators, Computation, Educational Research, Elementary Education

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