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Naresh, Nirmala; Presmeg, Norma – PNA, 2012
Researchers who have carried out studies pertaining to mental computation and everyday mathematics point out that adults and children reason intuitively based upon experiences within specific contexts; they use invented strategies of their own to solve real-life problems. We draw upon research areas of mental computation and everyday mathematics…
Descriptors: Mental Computation, Adults, Mathematics, Qualitative Research
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Torbeyns, Joke; Verschaffel, Lieven – Research in Mathematics Education, 2013
This study analysed children's use of mental computation strategies and standard written algorithms in the domain of multi-digit addition and subtraction, using the choice/no-choice method. Twenty-one Flemish fourth-graders (M[subscript Age] =9y10m) solved problem-items that either stimulated the use of mental computation strategies or a standard…
Descriptors: Foreign Countries, Mathematics, Grade 4, Computation
Mardjetko, Emilia; Macpherson, Julie – Australian Primary Mathematics Classroom, 2007
Mathematical computation consists of both written computation and mental computation. The strategies for mental computation can be used to check the reasonableness of written computations. Mental computation has two distinguishing characteristics: "it produces an exact answer, and the procedure is performed mentally, without using external…
Descriptors: Mental Computation, Teaching Methods, Foreign Countries, Primary Education
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Norton, Stephen – International Journal for Mathematics Teaching and Learning, 2012
Pedagogical reform in Australia over the last few decades has resulted in a reduced emphasis on the teaching of computational algorithms and a diversity of alternative mechanisms to teach students whole number computations. The effect of these changes upon student recording of whole number computations has had little empirical investigation. As…
Descriptors: Mathematics, Numbers, Foreign Countries, Educational Change
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Sengul, Sare – Educational Sciences: Theory and Practice, 2013
The purpose of this study was to identify the use of number sense strategies by pre-service teachers studying at the department of elementary education. Compared to the previous one; new mathematics curriculum places more emphasis on various strategies such as estimation strategies, computational estimation strategies, rounding and mental…
Descriptors: Foreign Countries, Preservice Teachers, Elementary School Teachers, Numbers
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
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
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White, Paul; Anderson, Judy – Mathematics Teacher Education and Development, 2012
With increased accountability attached to students' results on national testing in Australia, teachers feel under pressure to prepare students for the tests. However, this can lead to shallow teaching of a narrowed curriculum. An alternative approach involves using data to identify common errors and misconceptions, discussing strategies aimed at…
Descriptors: Testing, Test Items, Teaching Methods, Foreign Countries
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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
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Duren, Phillip E. – Mathematics Teacher, 1989
Discusses when to use the computer, paper-and-pencil, or mental-computation procedures. Provides examples of solving problems dealing with roots of polynomial using computer graphing and other strategies. Suggests implications for curricular planning. (YP)
Descriptors: Computer Assisted Instruction, Elementary Education, Elementary School Mathematics, Functions (Mathematics)
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Velázquez-Iturbide, J. Ángel; Castellanos, M. Eugenia; Hijón-Neira, Raquel – IEEE Transactions on Education, 2016
Recursion is one of the most difficult programming topics for students. In this paper, an instructional method is proposed to enhance students' understanding of recursion tracing. The proposal is based on the use of rules to translate linear recursion algorithms into equivalent, iterative ones. The paper has two main contributions: the…
Descriptors: Computer Science Education, Programming, Teaching Methods, Mathematics
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Speiser, Robert; Schneps, Matthew H.; Heffner-Wong, Amanda; Miller, Jaimie L.; Sonnert, Gerhard – Journal of Mathematical Behavior, 2012
In school, at least in the US, we were taught to multiply by hand according to a standard algorithm. Most people find that algorithm difficult to use, and many children fail to learn it. We propose a new way to make sense of this difficulty: to treat explicit computation as perceptually supported physical and mental action. Based on recent work in…
Descriptors: Evidence, Mathematics, Urban Schools, Short Term Memory
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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
Khosroshahi, Leyla G.; Asghari, Amir H. – Australian Primary Mathematics Classroom, 2016
There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…
Descriptors: Arithmetic, Addition, Subtraction, Problem Solving
Tataw, Oben Moses – ProQuest LLC, 2013
Interdisciplinary research in computer science requires the development of computational techniques for practical application in different domains. This usually requires careful integration of different areas of technical expertise. This dissertation presents image and time series analysis algorithms, with practical interdisciplinary applications…
Descriptors: Biology, Computation, Imagery, Time
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