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Rogers, Angela – Mathematics Education Research Group of Australasia, 2023
Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…
Descriptors: Number Concepts, Teaching Methods, Problem Solving, Computation
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Throndsen, Jennifer; MacDonald, Beth; Hunt, Jessica – Australian Primary Mathematics Classroom, 2017
Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.
Descriptors: Mathematics, Mathematics Instruction, Kindergarten, Numbers
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Allen-Lyall, Barbara; Russo, James – Australian Primary Mathematics Classroom, 2019
Differentiating instruction can be difficult, however, when higher performing students yearn to be stretched and lower performing students benefit from scaffolded support. One way to meet these students' learning needs and everyone in-between is to embrace the notion of novel exploration in support of critical school mathematics concepts. Novelty…
Descriptors: Mathematics Instruction, Teaching Methods, Numeracy, Number Concepts
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Brown, Jill Patricia; Stillman, Gloria Ann – International Journal of Mathematical Education in Science and Technology, 2017
A study conducted with 25 Year 6 primary school students investigated the potential for a short classroom intervention to begin the development of a "Modelling" conception of mathematics on the way to developing a sense of mathematics as a way of thinking about life. The study documents the developmental roots of the cognitive activity,…
Descriptors: Mathematical Models, Foreign Countries, Mathematical Concepts, Mathematics
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Russo, James – Australian Primary Mathematics Classroom, 2016
The use of enabling and extending prompts allows tasks to be both accessible and challenging within a classroom. This article provides an example of how to use enabling and extending prompts effectively when employing a challenging task in Year 2.
Descriptors: Mathematics Instruction, Elementary School Mathematics, Teaching Methods, Mathematical Concepts
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McMartin, Kimberley; McMaster, Heather – Australian Primary Mathematics Classroom, 2016
As an alternative to looking solely at linear functions, a three-lesson learning progression developed for Year 6 students that incorporates triangular numbers to develop children's algebraic thinking is described and evaluated.
Descriptors: Elementary School Mathematics, Elementary School Students, Mathematics Instruction, Number Concepts
Bardini, Caroline; Vincent, Jill; Pierce, Robyn; King, Deborah – Mathematics Education Research Group of Australasia, 2014
Despite an emphasis on manipulative algebraic techniques in secondary school algebra, many tertiary mathematics students have mastered these skills without conceptual understanding. A significant number of students with high tertiary entrance ranks enrolled in first semester university mathematics were found to have misconceptions relating to…
Descriptors: Misconceptions, Undergraduate Students, Mathematics Education, Mathematics Skills
Seah, Rebecca – Mathematics Education Research Group of Australasia, 2012
Despite the emphasis that children should have a robust sense of number and a thorough understanding of fraction (National Mathematics Advisory Panel, 2008), many students continue to struggle with these concepts. Booker Diagnostic Assessment Framework (Booker, 2011) can inform decision about teaching that improves students' learning outcomes.…
Descriptors: Special Needs Students, Fractions, Arithmetic, Number Concepts
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Reeve, Robert; Reynolds, Fiona; Humberstone, Judi; Butterworth, Brian – Journal of Experimental Psychology: General, 2012
Dot enumeration (DE) and number comparison (NC) abilities are considered markers of core number competence. Differences in DE/NC reaction time (RT) signatures are thought to distinguish between typical and atypical number development. Whether a child's DE and NC signatures change or remain stable over time, relative to other developmental…
Descriptors: Cognitive Ability, Profiles, Children, Reaction Time
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Patel, Pooja; Canobi, Katherine Helen – Educational Psychology, 2010
Preschoolers' conceptual understanding and procedural skills were examined so as to explore the role of number-words and concept-procedure interactions in their additional knowledge. Eighteen three- to four-year-olds and 24 four- to five-year-olds judged commutativity and associativity principles and solved two-term problems involving number words…
Descriptors: Numbers, Word Problems (Mathematics), Problem Solving, Number Concepts
Doig, Brian – 1995
This document is a collection of over 200 classroom-ready activities which cover the five strands--Number, Space, Measurement, Chance and Data, and Problem Solving--outlined in Mathematics: A Curriculum Profile for Australian Schools. Each activity is a separate photocopy master, the front for the students to use and the back an assessment page…
Descriptors: Data, Elementary Education, Foreign Countries, Learning Activities
Livingstone, Ian, Ed.; Izard, John, Ed. – SET: Research Information for Teachers, 1993
Set: Research Information for Teachers, is published twice a year by the New Zealand Council for Educational Research and the Australian Council for Educational Research. This document draws together 16 articles on mathematics from previous issues grouped into three categories: general, primary, and secondary. The titles are: (1) "Contents…
Descriptors: Algebra, Cooperative Learning, Elementary Secondary Education, Foreign Countries
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Galbraith, Peter L.; And Others – Educational Studies in Mathematics, 1992
The opinions of 98 Australian educational experts concerning mathematics skills necessary for future numeracy were solicited. The qualitative comments were incorporated into three scenarios reflecting alternative visions for the future: a careful scenario, a futuristic scenario, and a process scenario. (24 references) (MDH)
Descriptors: Computation, Educational Change, Educational Planning, Educational Trends
Southwell, Beth, Ed.; And Others – 1992
A conference proceedings on mathematics education research contained the following keynote addresses: "Doing and Constructing Mathematics in Screen-Space" (Mason); "Students' Understanding of Geometry: Theoretical Perspectives" (Pegg); "The Australian Research Council and its Role in Supporting Education Research"…
Descriptors: Algebra, Calculus, Computer Uses in Education, Constructivism (Learning)