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Dole, Shelley; Carmichael, Peter; Thiele, Catherine; Simpson, Jenny; O'Toole, Christine – Mathematics Education Research Group of Australasia, 2018
This paper reports on results of a targeted and extended (two school terms) program for building Grade 3 and Grade 4 students' facility with number facts and application for mental computation. As part of a larger project, this paper reports results from two schools. Results indicated strong gains in number fact recall and mental computation for…
Descriptors: Elementary School Students, Elementary School Mathematics, Mathematics Skills, Skill Development
Erdem, Emrullah – International Journal of Science and Mathematics Education, 2017
The current study examines the mental computation performance owned by students at fifth grade. This study was carried out with 118 fifth graders (11-12-year-olds) studying at 3 randomly selected primary schools that served low and middle socio-economic areas in a city of Turkey. "Mental Computation Test (MCT)" has been used to reach how…
Descriptors: Mental Computation, Grade 5, Elementary School Students, Foreign Countries
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
Downton, Ann; Russo, James; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2019
We report on 25 Year 5-6 students' written responses to two items taken from an assessment of mental computation fluency with multiplication, alongside their reasoning of the strategy they had employed, which may or may not have made use of the associative property. Coding of this interview data revealed four distinct levels of conceptual…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Elementary School Mathematics
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
Fischer, Jean-Paul; Sander, Emmanuel; Sensevy, Gérard; Vilette, Bruno; Richard, Jean-François – European Journal of Psychology of Education, 2019
Ensuring students correctly understand the notion of equality is a fundamental problem in teaching mathematics. Is it possible to teach arithmetic in such a way that students do not misinterpret the equal sign "=" as indicating the result of an arithmetic operation and, consequently, viewing the arithmetic operation symbols (+, -, or x)…
Descriptors: Arithmetic, Mathematics Instruction, Teaching Methods, Program Effectiveness
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
Martín Díaz, Ana; Alario-Hoyos, Carlos; Estévez-Ayres, Iria; Delgado Kloos, Carlos; Fernández-Panadero, Carmen – Education and Information Technologies, 2023
ABN (Abierto Basado en Números--Open Calculation Based on Numbers) is a method for teaching basic arithmetic operations in primary education that has become popular in recent years and that is based on the decomposition of numbers through manipulative materials that encourage mental calculation. Currently there is limited number of tools that can…
Descriptors: Mathematics Instruction, Teaching Methods, Arithmetic, Elementary School Mathematics
Graven, Mellony; Venkat, Hamsa – Mathematics Education Research Journal, 2021
In this paper, we share the results of the piloting of national diagnostic assessments for strategic calculation with Grade 3 learners in South Africa. The diagnostic assessment pilot intervention was focused on promoting strategic use of calculation strategies and aimed to move learners on from the concrete one-to-one counting methods that…
Descriptors: Foreign Countries, Diagnostic Tests, Computation, Grade 3
Ben-Yehuda, Miriam; Sharoni, Varda – Journal of Cognitive Education and Psychology, 2021
The research examined the calculation methods used by pupils in Grades 3-6 when they were presented with problems that could be worked out efficiently and flexibly by applying number sense. The study was conducted with a convenience sample of 179 pupils between the ages 7 years and 10 months to 12 years and 10 months. in mainstream education in…
Descriptors: Numeracy, Number Concepts, Computation, Grade 3
Son, Ji-Won; Hu, Qintong; Lim, Woong – International Journal of Mathematical Education in Science and Technology, 2019
Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…
Descriptors: Computation, Mental Computation, Mathematics Instruction, Preservice Teachers
Wieman, Rob; Freedman, Lindsay; Albright, Paul; Nolen, Deb; Onda, Jessica – Mathematics Teacher: Learning and Teaching PK-12, 2021
During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1,…
Descriptors: Mathematics Instruction, Teaching Methods, Elementary School Mathematics, Mental Computation
May, Pamela L. – International Journal of Instruction, 2020
This researcher has been greatly distressed, as fifth graders year after year have disregarded mental math strategies for the standard algorithm. Mathematically proficient students should be flexible, efficient and accurate when solving mental calculations. This researcher set out to find out how fifth graders' mental math practice improved their…
Descriptors: Elementary School Students, Elementary School Mathematics, Grade 5, Numeracy
Bakker, Merel; Torbeyns, Joke; Verschaffel, Lieven; De Smedt, Bert – Journal of Educational Psychology, 2022
Many studies in the past decades have focused on low and typical mathematics achievers, yet little is known about children with high mathematics achievement, particularly at a young age. The current study aimed to fill this gap and started from the early work of Krutetskii (1976) as a theoretical lens to study the characteristics of high…
Descriptors: High Achievement, Elementary School Students, Elementary School Mathematics, Mathematics Achievement
Hurst, Chris; Huntley, Ray – Mathematics Education Research Group of Australasia, 2017
Multiplicative thinking is a critical stage of mathematical understanding upon which many mathematical ideas are built. The myriad aspects of multiplicative thinking and the connections between them need to be explicitly developed. One such connection is the relationship between place value partitioning and the distributive property of…
Descriptors: Multiplication, Mathematics Skills, Mathematical Logic, Mathematical Concepts
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