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Mulligan, Joanne; Oslington, Gabrielle; English, Lyn – ZDM: The International Journal on Mathematics Education, 2020
An Australian longitudinal study of 319 Kindergartners developed, implemented and evaluated an intervention, the Pattern and Structure Mathematics Awareness Program (PASMAP). It comprised of repetitions and growing patterns, structured counting and grouping, grids and shapes, partitioning, additive and multiplicative structures, measurement and…
Descriptors: Foreign Countries, Kindergarten, Mathematical Concepts, Repetition
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
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Quane, Kate; Brown, Leni – Australian Primary Mathematics Classroom, 2022
Mathematics educators and researchers have advocated for the use of manipulatives to teach mathematics for decades. The purpose of this article is to provide illustrative uses of a readily available manipulative rather than a complete list. From an Australian perspective, Pop-it fidget toys can be used across the mathematics curriculum. This paper…
Descriptors: Mathematics Instruction, Toys, Manipulative Materials, Foreign Countries
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Sullivan, Peter; Russo, James – Australian Primary Mathematics Classroom, 2017
It is frequently surprising to new teachers (and even those with experience) when they find that not only do some children need to recount the group they have just counted to be assured of the total but also that this need seems to be resistant to intervention. Although moving from "counting-all" to "count-on" is sometimes…
Descriptors: Number Concepts, Computation, Teaching Methods, Mathematics Instruction
Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2016
A considerable number of children rely on counting to solve single-digit addition problems when they are expected to use accurate retrieval-based strategies. There are different reasons why this may be so. Children may use inefficient counting strategies, produce errors when applying backup strategies or lack sufficient confidence to just state…
Descriptors: Elementary School Students, Addition, Problem Solving, Computation
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Hopkins, Sarah; Bayliss, Donna – Mathematical Thinking and Learning: An International Journal, 2017
In this research, we examined how 200 students in seventh grade (around 12 years old) solved simple addition problems. A cluster approach revealed that less than half of the cohort displayed proficiency with simple addition: 35% predominantly used min-counting and were accurate, and 16% frequently made min-counting errors. Students who frequently…
Descriptors: Middle School Students, Grade 7, Problem Solving, Mathematics Skills
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Tucker, Stephen I. – Australian Primary Mathematics Classroom, 2014
Stephen Tucker presents a fractions game that addresses a range of fraction concepts including equivalence and computation. The REFractions game also improves students' fluency with representing, comparing and adding fractions.
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Concepts, Concept Formation
de Villiers, Celéste; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2013
Counting strategies initially used by young children to perform simple addition are often replaced by more efficient counting strategies, decomposition strategies and rule-based strategies until most answers are encoded in memory and can be directly retrieved. Practice is thought to be the key to developing fluent retrieval of addition facts. This…
Descriptors: Addition, Mathematics Instruction, Mathematics Skills, Computation
Gervasoni, Ann; Parish, Linda; Hadden, Teresa; Livesey, Carole; Bevan, Kate; Croswell, Melissa; Turkenburg, Kathie – Mathematics Education Research Group of Australasia, 2012
The "Extending Mathematical Understanding" (EMU) Program is a specialised mathematics program that aims to accelerate the learning of Grade 1 students who struggle with learning school mathematics. Forty-two students participated in an EMU Program in 2010 as part of the "Bridging the Numeracy Gap" (BTNG) project. Analysis of…
Descriptors: Elementary School Students, Mathematics Instruction, Learning Problems, Knowledge Level
Romberg, Thomas A.; Collis, Kevin F. – 1982
The purpose of this study was to ascertain whether children in grade 3 who differ in cognitive processing capacity add and subtract differently. The researchers drew upon information from three sources: individual results from a battery of 14 tests, an objective-referenced achievement test measuring a variety of arithmetic skills related to…
Descriptors: Addition, Algorithms, Cognitive Processes, Computation
Cumming, J. Joy; And Others – Focus on Learning Problems in Mathematics, 1994
Tests of (n=107) third through sixth graders' basic addition facts found that 34% of errors involved the addition of zero and 83% of the remaining errors involved at least one of the digits 7, 8, or 9 when the other addend was 4 or more. (20 references) (MKR)
Descriptors: Addition, Arithmetic, Computation, Elementary Education
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Christensen, Carol A.; Cooper, Tom J. – British Educational Research Journal, 1992
Presents results from an Australian study examining whether children who use cognitive strategies in solving simple addition questions develop greater proficiency in addition than children who do not use such strategies. Describes the subjects, instruments, procedure, and instructional treatment. Concludes that the development of cognitive…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Comparative Analysis