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Torbeyns, Joke; Verschaffel, Lieven – European Journal of Psychology of Education, 2016

This study analyzed children's use of mental computation strategies and the standard algorithm on multi-digit subtractions. Fifty-eight Flemish 4th graders of varying mathematical achievement level were individually offered subtractions that either stimulated the use of mental computation strategies or the standard algorithm in one choice and two…

Descriptors: Mental Computation, Mathematical Logic, Subtraction, Grade 4

Liu, Allison S.; Kallai, Arava Y.; Schunn, Christian D.; Fiez, Julie A. – Instructional Science: An International Journal of the Learning Sciences, 2015

Mathematical fluency is important for academic and mathematical success. Fluency training programs have typically focused on fostering retrieval, which leads to math performance that does not reliably transfer to non-trained problems. More recent studies have focused on training number understanding and representational precision, but few have…

Descriptors: Mental Computation, Mathematics Achievement, Mathematics Instruction, Transfer of Training

Day, Lorraine; Hurrell, Derek – Australian Primary Mathematics Classroom, 2015

Lorraine Day and Derek Hurrell provide a convincing argument for using arrays to promote students' understandings of mental computation strategies for multiplication. They also provide a range of different examples that illustrate the benefits of arrays in the primary classroom.

Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts, Computation

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

Kuldas, Seffetullah; Sinnakaudan, Santi; Hashim, Shahabuddin; Ghazali, Munirah – Education 3-13, 2017

Although the early development of children's number sense is a strong predictor of their later mathematics achievements, it has been overlooked in primary schools in Malaysia. Mainly attributable to underdeveloped number sense of Malaysian primary and secondary school children, their inability to handle simple mathematics tasks, which require the…

Descriptors: Foreign Countries, Numbers, Elementary School Students, Elementary School Mathematics

Sinnakaudan, Santi; Kuldas, Seffetullah; Hashim, Shahabuddin; Ghazali, Munirah – International Journal for Mathematics Teaching and Learning, 2016

This review examines reasons for Malaysian pupils' underperformance in solving mathematics problems that demand numerical estimation and mental computation. Their underdeveloped number sense appears to be the major reason. According to the Ministry of Education, the national mathematics curriculum is unlikely to account for this underachievement.…

Descriptors: Foreign Countries, Mathematics Achievement, Numbers, Computation

Heirdsfield, Ann – International Group for the Psychology of Mathematics Education, 2005

This paper reports the teacher actions that promoted the development of students' mental computation. A Year 3 teacher engaged her class in developing mental computation strategies over a ten-week period. Two overarching issues that appeared to support learning were establishing connections and encouraging strategic thinking. (Contains 2 figures.)…

Descriptors: Mental Computation, Teacher Role, Mathematics Instruction, Teaching Methods

Buchholz, Lisa M. – Teaching Children Mathematics, 2016

Several detours prompted me to find time in an overcrowded school day to incorporate important, powerful, daily, whole-class application of fact strategies. A few years ago, I embarked on a journey with my second graders, a journey through the strategies for mental computation of addition and subtraction facts. The focus of that journey was to…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Grade 2, Computation

Muir, Tracey; Callingham, Rosemary; Beswick, Kim – Journal of Digital Learning in Teacher Education, 2016

This article presents a case study of one particular lesson in which a teacher uses the features of an interactive whiteboard (IWB) to teach mental computation strategies to a Grade 1 class. The framework of Technological Pedagogical Content Knowledge (TPACK) is used to evaluate the teacher's use of the IWB to teach mathematical concepts to young…

Descriptors: Case Studies, Grade 1, Mathematics Instruction, Technological Literacy

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

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

Tsao, Yea-Ling – Journal of College Teaching & Learning, 2004

The purpose of this study is to a) explore connections among number sense, mental computation performance and the written computation performance of elementary preservice school teachers; and b) explore the correlation among mental computation skills, computation skills, effect issues and number sense. The sample was composed of students in six…

Descriptors: Numeracy, Numbers, Computation, Mathematics Skills

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

Afamasaga-Fuata'i, Karoline; Sooaemalelagi, Lumaava – Journal of Mathematics Teacher Education, 2014

Based on findings from a semester-long study, this article examines the development of Samoan prospective teachers' mathematical understandings and mathematics attitudes when investigating authentic contexts and applying working mathematically processes, mental computations and problem-solving strategies to find solutions of problems. The…

Descriptors: Student Teachers, Student Teacher Attitudes, Foreign Countries, Learning Experience

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