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van Klinken, Eduarda – Australian Primary Mathematics Classroom, 2012
This article outlines how a Brisbane independent school, Clayfield College, improved the ability of its Year 3 students to solve addition and subtraction word problems by utilising a schematic approach. It was observed that while students could read the words in the text of a written problem, many had difficulty identifying the core information…
Descriptors: Private Schools, Problem Solving, Word Problems (Mathematics), Subtraction
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Hurrell, Derek – Australian Primary Mathematics Classroom, 2012
Equivalence is mostly associated with the strand of Number and Algebra and is fundamental in both of the substrands. Equivalence is considered a key and foundational concept of algebra, and whereas an assumption might be made that equivalence is a relatively "easy" concept; studies have shown that when asked to balance an equation such…
Descriptors: Cognitive Processes, Algebra, Mathematical Concepts, Mathematics Curriculum
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Mildenhall, Paula; Swan, Paul; Northcote, Maria; Marshall, Linda – Australian Primary Mathematics Classroom, 2008
As part of the project titled "Hands-On Heads-On: The Effective Use of Manipulatives Both Virtual and Physical" being undertaken at Edith Cowan University, there was an investigation into the use of virtual manipulatives and the interactive whiteboard (IWB). Virtual manipulatives may be defined as a virtual representation of a physical…
Descriptors: Investigations, Mathematical Concepts, Manipulative Materials, Educational Technology
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Roberts, Tim – Australian Primary Mathematics Classroom, 2007
It is not often that one can introduce primary school students to a problem at the forefront of mathematics research, and have any expectation of understanding; but with magic squares, one can do exactly that. Magic squares are an ideal tool for the effective illustration of many mathematical concepts. This paper assumes little prior knowledge on…
Descriptors: Mathematical Concepts, Primary Education, Mathematics Education, Arithmetic
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Goral, Mary Barr; Gnadinger, Cindy Meyers – Australian Primary Mathematics Classroom, 2006
Young students often struggle with abstract concepts in mathematics, causing primary teachers to continue to search for ways to help teach such concepts. "Principles and Standards for School Mathematics" (NCTM, 2000) recommends using concrete models and physical materials before moving on to more abstract ideas. However, some children…
Descriptors: Mathematics Instruction, Primary Education, Foreign Countries, Mathematical Concepts
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Warren, Elizabeth; Cooper, Tom – Australian Primary Mathematics Classroom, 2006
Traditionally, primary schools place minimal emphasis upon relations and transformations as objects of study. In their research, the authors have found the young children can engage in conversations about equivalence and equations (Warren & Cooper, 2005a) and functional thinking (Warren & Cooper, 2005b). Fundamental to relations and…
Descriptors: Primary Education, Foreign Countries, Mathematics, Mathematics Instruction
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Caswell, Rosemaree – Australian Primary Mathematics Classroom, 2006
The author recently read a research paper by Padberg (2002), in which the development of understanding associated with decimal fractions was studied. Padberg (2002) outlined the situation that existed in Germany, where students were introduced to decimal fractions in the sixth year of school. He claimed that it was assumed students would have a…
Descriptors: Prior Learning, Foreign Countries, Arithmetic, Primary Education
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Chartres, Mike – Australian Primary Mathematics Classroom, 1996
Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…
Descriptors: Foreign Countries, Learning Activities, Learning Strategies, Mathematical Concepts
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Scholz, Simon – Australian Primary Mathematics Classroom, 2004
All teachers are aware of the wide range of abilities that exist within most standard Australian primary school classrooms. Many of these schools implement structures such as ability grouping and/or streaming to help meet the needs of this diverse group of learners; but does ability grouping meet these needs? The number of studies that have looked…
Descriptors: Ability Grouping, Classrooms, Mathematics Instruction, Teaching Methods
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Vincent, Jill – Australian Primary Mathematics Classroom, 2004
In 2001, with funding of $7 million, the Australian Government implemented the "Numeracy Research and Development Initiative"--one of several initiatives introduced by the Australian Government to support literacy and numeracy improvement. Other initiatives included the "National Indigenous English Literacy and Numeracy…
Descriptors: Numeracy, Research and Development, Educational Change, Teaching Methods