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Jao, Limin; Hall, Jennifer – Australian Mathematics Teacher, 2018

In this article, the authors present a writing activity that allowed pre-service teachers to be creative in the mathematics classroom. Inspired by "The Important Book" by Margaret Wise Brown, students explored secondary-level mathematics concepts, discussing various attributes/characteristics of each concept through their written…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Foreign Countries, Preservice Teachers

Tekin-Sitrava, Reyhan; Isiksal-Bostan, Mine – Australian Mathematics Teacher, 2018

This study investigated middle school teachers' knowledge of students' misconceptions and the sources of these misconceptions related to the volume of prisms. This case study investigated four middle school teachers who taught 8th grade students in Ankara (Turkey). Based on the analysis of the data, two misconceptions related to the volume of…

Descriptors: Middle School Teachers, Mathematics Teachers, Pedagogical Content Knowledge, Foreign Countries

Lowe, James; Carter, Merilyn; Cooper, Tom – Australian Mathematics Teacher, 2018

Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…

Descriptors: Mathematics Instruction, Mathematical Models, Algebra, Mathematics Teachers

Obara, Samuel – Australian Mathematics Teacher, 2018

Students learn mathematics by solving problems. Mathematics textbooks are full of problems, and mathematics teachers use these problems to test students' understanding of mathematical concepts. This paper discusses how problem-solving skills can be fostered with a geometric tiling problem.

Descriptors: Mathematics Instruction, Problem Solving, Teaching Methods, Mathematical Concepts

Yeo, Joseph – Australian Mathematics Teacher, 2017

In many countries, teachers often have to set their own questions for tests and examinations: some of them even set their own questions for assignments for students. These teachers do not usually select questions from textbooks used by the students because the latter would have seen the questions. If the teachers take the questions from other…

Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, Numbers

Tillema, Erik; Gatza, Andrew; Ulrich, Catherine – Australian Mathematics Teacher, 2017

The number and algebra strand of the "Australian Curriculum: Mathematics" (2015) advocates for holding together the study of number and algebra across years K-8--a position that mathematics educators have endorsed in many countries. This recommendation along with the report "Shape of the Australian Curriculum: Mathematics"…

Descriptors: Foreign Countries, Mathematics Education, Mathematics Curriculum, National Curriculum

de Mestre, Neville – Australian Mathematics Teacher, 2017

Earlier "Discovery" articles (de Mestre, 1999, 2003, 2006, 2010, 2011) considered patterns from many mathematical situations. This article presents a group of patterns used in 19th century mathematical textbooks. In the days of earlier warfare, cannon balls were stacked in various arrangements depending on the shape of the pile base…

Descriptors: Mathematics Instruction, Textbooks, Mathematical Concepts, Manipulative Materials

Forrester, Tricia; Sandison, Carolyn E.; Denny, Sue – Australian Mathematics Teacher, 2017

In 2014 we commenced working on the Inspiring Mathematics and Science in Teacher Education (IMSITE) project, aimed at improving mathematics and science education in Australia by improving the recruitment, development, and retention of mathematics and science teachers. In this project we undertook a range of activities, the most exciting of which…

Descriptors: Foreign Countries, Mathematics Instruction, High School Students, Secondary School Mathematics

Forte, Jane – Australian Mathematics Teacher, 2017

It is hard to imagine that, eight hundred years on, the study of Fibonacci could affect the lives of teenagers in Australia. Or is it? A mathematics class of more able Year 9 students in a regional city of Western Australia feels that it has happened to them. Thirty-two students submitted a Fibonacci task as a mathematics assessment, with many of…

Descriptors: Foreign Countries, Mathematics Instruction, Secondary School Students, Assignments

Gough, John – Australian Mathematics Teacher, 2017

When computers started having screens (or monitors), as well as printers, a new alphanumeric display was created using dots. A crucial variable in designing alphabet letters and digits, using dots, is the height of the display, measured in dots. This article addresses the same design questions tackled by designers of typefaces or fonts, and shows…

Descriptors: Design, Mathematics, Computer System Design, Computers

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