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Stumbles, Robert – Australian Primary Mathematics Classroom, 2018

The foundation of geometric knowledge and understanding starts in primary school, and in contemporary mathematics education there is an emphasis on identifying learning progressions and trajectories as a way of moving students forward. The van Hiele (1986) theory is well-documented and provides insights into the progression and differences of…

Descriptors: Geometry, Mathematics Education, Courseware, Teaching Methods

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

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

Jacob, Lorraine; Mulligan, Joanne – Australian Primary Mathematics Classroom, 2014

In this article, Lorraine Jacob and Joanne Mulligan discuss how arrays can be used to promote students' early learning in relation to multiplication and division. They provide examples of activities that can be used from Foundation to Year 5.

Descriptors: Young Children, Elementary School Students, Elementary School Mathematics, Mathematics Instruction

Roche, Anne; Clarke, Doug – Australian Primary Mathematics Classroom, 2014

Anne Roche and Doug Clarke discuss the importance of developing students' persistence in relation to problem solving during the use of challenging tasks. They provide a useful list of strategies that teachers can use to encourage persistence amongst their students.

Descriptors: Teaching Methods, Academic Persistence, Mathematics Teachers, Mathematics

Roche, Anne – Australian Primary Mathematics Classroom, 2010

A considerable body of research exists on students' understanding of decimal fractions and the prevalence and persistence of common misconceptions related to this understanding. Results from major studies such as the National Assessment of Educational Progress (NAEP) in the United States and the Concepts in Secondary Mathematics and Science (CSMS)…

Descriptors: Foreign Countries, Mathematics, Number Concepts, Models

Bush, Heidi – Australian Primary Mathematics Classroom, 2009

In this article, the author presents three different tasks that can be used to assess students' understanding of the concept of length. Three important measurement concepts for students to understand are transitive reasoning, use of identical units, and iteration. In any teaching and learning process it is important to acknowledge students'…

Descriptors: Measurement, Misconceptions, Teaching Methods, Science Process Skills

Kartambis, Kathy – Australian Primary Mathematics Classroom, 2007

Research has established that children's development of addition and subtraction skills progresses through a hierarchy of strategies that begin with counting-by-one methods through to flexible mental strategies using a combination of knowledge of basic facts and understanding of place value. An important transition point is the shift from the…

Descriptors: Mental Computation, Number Concepts, Subtraction, Arithmetic

Gorham, Gail; Bobis, Janette – Australian Primary Mathematics Classroom, 2005

This article presents several tips that teachers can use to teach children about time. One activity, investigating 24-hour time, aims to familiarise upper primary students with converting a.m. and p.m. notations to 24-hour time. Another activity requires students to construct a calendar month in order to familiarize themselves with the components…

Descriptors: Learning Activities, Mathematics Instruction, Time, Teaching Methods

Bobis, Janette – Australian Primary Mathematics Classroom, 2005

Three activities are presented that are designed to develop an understanding of equivalence. Equivalent fractions have the same value, but may be expressed with a different denominator or different notation. "Decimal Fraction Dominoes" focuses on the equivalence of commonly occurring fractions, decimal fractions, percentages and their pictorial…

Descriptors: Arithmetic, Mathematical Concepts, Mathematics Instruction, Teaching Methods

Way, Jenni – Australian Primary Mathematics Classroom, 2005

This article presents an example of a versatile multi-solution problem that can be used right across the primary years. The basic problem is: "Noah saw 16 legs go past him into the Ark. How many creatures did he see?" Any even number can be used, although, 2 legs allows only one answer and with 16 legs there are already 14 different…

Descriptors: Animals, Recreational Facilities, Primary Education, Foreign Countries

Grey, Melinda – Australian Primary Mathematics Classroom, 2005

Children's literature can enhance mathematics lessons by providing a meaningful context, demonstrating that mathematics develops from human experiences and contributes an aesthetic dimension to learning mathematics. Written as a series of real life inspired snapshots of mathematical thinking, "Counting on Frank" (Rod Clement, 1990)…

Descriptors: Data Analysis, Cooperative Learning, Mathematical Logic, Childrens Literature

Peer reviewed

Australian Primary Mathematics Classroom, 2000

Pupils progress through a relatively small number of key stages called growth points in numeracy learning. Identifies growth points in developing numeracy and suggests that better support can be offered to children when teachers are aware of the growth points. (ASK)

Descriptors: Division, Elementary Education, Elementary School Mathematics, Mathematics Activities

Peer reviewed

Callingham, Rosemary – Australian Primary Mathematics Classroom, 2000

Explains how rubrics can be used to assess children's understanding of chance and data concepts. Encounters unexpected results besides assessing chance and data outcomes. (ASK)

Descriptors: Data Interpretation, Educational Assessment, Elementary Education, Elementary School Mathematics

Peer reviewed

Smith, Tracey – Australian Primary Mathematics Classroom, 2000

All teachers face the dilemma of trying to cater to the range of abilities of the children in their classes. Explains one teacher's attempt to accomplish this. (ASK)

Descriptors: Ability, Elementary Education, Elementary School Mathematics, Evaluation Methods