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Espedido, Rosei; Du Toit, Wilhelmina – Australian Mathematics Teacher, 2017

The authors of this article strongly advocate for a change to the current Australian model of primary education in order to, among other things, establish the concrete practicalities of systematic mathematics thinking thereby limiting the "re-teaching" time required of secondary school mathematics teachers; bring a clear focus to the…

Descriptors: Foreign Countries, Mathematics Teachers, Teacher Attitudes, Advocacy

Gough, John – Australian Mathematics Teacher, 2017

Three game examples using L-shaped tri-cubes in alternative arrangements are presented. Each game example challenges you to think who might win, and what alternative playing strategies could be implemented to change the final outcome.

Descriptors: Mathematics Instruction, Teaching Methods, Educational Games, Manipulative Materials

Kissane, Barry – Australian Mathematics Teacher, 2017

It seems that calculators continue to be misunderstood as devices solely for calculation, although the likely contributions to learning mathematics with modern calculators arise from other characteristics. A four-part model to understand the educational significance of calculators underpins this paper. Each of the four components (representation,…

Descriptors: Foreign Countries, Calculators, Educational Technology, Teaching Methods

Proffitt-White, Rob – Australian Mathematics Teacher, 2017

The Teachers First initiative is a grass-roots cluster-model approach for bringing together primary and secondary teachers and school principals: to analyse student performance data; design and practice activities and assessment tools; and promote teaching practices that address students' learning difficulties in mathematics. The balance of both…

Descriptors: Mathematics Instruction, Elementary School Teachers, Secondary School Teachers, Principals

Dawe, Lloyd – Australian Mathematics Teacher, 2017

This paper addresses the continuing need for mathematics teachers to enrich their mathematical knowledge beyond the school curriculum, in order to effectively engage students in creative and imaginative thinking, particularly, but not exclusively, students who show exceptional promise. The author, a retired university professor, works staff and…

Descriptors: Mathematics Instruction, Teaching Methods, Females, Problem Solving

Neumann, Hanna – Australian Mathematics Teacher, 2017

Prof. Hanna Neumann gave the Presidential Address at Australian Association of Mathematics Teachers inaugural conference in 1966. The conference was held at Monash University and had the theme of "mathematical unity". In this address, Prof. Neumann described some features of the teaching of mathematics in schools. While she did not know…

Descriptors: Foreign Countries, Teacher Associations, Mathematics Instruction, Mathematics Teachers

Stohlmann, Micah – Australian Mathematics Teacher, 2017

Desmos Battleship is an engaging activity in which students can improve their visualisation skills, and deepen their understanding of linear functions and circles by making connections between algebraic and graphical representations. The Desmos Battleship activity was used in a Saturday STEM (Science, Technology, Engineering, and Mathematics)…

Descriptors: Mathematical Concepts, Technology Uses in Education, Courseware, Educational Games

Robichaux-Davis, Rebecca R. – Australian Mathematics Teacher, 2017

Progressing from additive to multiplicative thinking is critical for the development of middle school students' proportional reasoning abilities. Yet, many middle school mathematics teachers lack a thorough understanding of additive versus multiplicative situations. This article describes a sequence of instructional activities used to develop the…

Descriptors: Middle School Students, Thinking Skills, Mathematics Activities, Mathematics Instruction

Gough, John – Australian Mathematics Teacher, 2017

Australia has used SI metric units for measurement for decades now, although the conversion of measurements from the earlier Imperial units--known as metrication--commenced subsequently in 1971, and was not completed until 1988. All Primary and Secondary schools were using only metric units in school lessons by 1973, and it became illegal to teach…

Descriptors: Foreign Countries, Elementary Secondary Education, Measurement Techniques, Metric System

Thomson, Ian – Australian Mathematics Teacher, 2017

Snowflakes falling in Brisbane, Australia would likely make news headlines during any season of a given year, even during winter. Year 8 students at Ormiston College which is located in Brisbane, have made their own snowflakes--of a kind. Using the programming language Scratch, all Year 8 Mathematics students wrote code to construct Swedish…

Descriptors: Technology Uses in Education, Programming Languages, Secondary School Mathematics, Secondary School Students

King, Alessandra – Australian Mathematics Teacher, 2017

During their middle and early high school years, students generally finalise their attitude towards mathematics and their perception of themselves as students of mathematics, in terms of aptitude, motivation, interest, and competence. Therefore, giving them varied opportunities to foster a positive and successful approach to the study of…

Descriptors: Secondary School Mathematics, Computer Graphics, Graphing Calculators, Teaching Methods

de Mestre, Neville – Australian Mathematics Teacher, 2017

Suppose that there is an inexhaustible supply of $3 and $5 vouchers from the local supermarket. They may only be exchanged for items that cost an exact number of dollars made up from any combination of the vouchers. What is the highest amount not able to be obtained? This is an interesting problem in mathematical thinking and logic requiring only…

Descriptors: Mathematical Logic, Thinking Skills, Problem Solving, Addition

Miller, Geoffrey; Obara, Samuel – Australian Mathematics Teacher, 2017

A mathematical mnemonic is a visual cue or verbal strategy that is used to aid initial memorisation and recall of a mathematical concept or procedure. Used wisely, mathematical mnemonics can benefit students' performance and understanding. Explorations into how mathematical mnemonics work can also offer students opportunities to engage in proof…

Descriptors: Mathematics Instruction, Teaching Methods, Mnemonics, Learning Strategies

Quinnell, Lorna – Australian Mathematics Teacher, 2017

Compared to the use of the word "average" in the media and in everyday conversations, an average is used very precisely in mathematics. This is complicated by the fact that there are three different types of averages: means, medians, and modes. As with other concepts, scaffolding understanding of mathematical averages is important. Such…

Descriptors: Mathematics Instruction, Scaffolding (Teaching Technique), Mathematical Concepts, Foreign Countries

Gough, John – Australian Mathematics Teacher, 2017

This article describes how to play two abstract strategy board games: (1) "Blokus" which uses polyominoes--plane geometric figures formed by joining one or more equal squares edge to edge; and (2) "Gemblo" which uses translucent, colored pieces, each of which is made up of one to five hexagons.

Descriptors: Geometric Concepts, Geometry, Educational Games, Game Theory