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Xu, Yanhui – Australian Mathematics Education Journal, 2023

This paper describes a model of mathematics bianshi teaching using one problem with several solutions, changes, and applications in an inquiry-based classroom. Based on the model of mathematics bianshi teaching, the author discusses a class-room experience where one Chinese mathematics teacher takes a simple plane geometry problem to guide…

Descriptors: Models, Mathematics Instruction, Teaching Methods, Creativity

Emre-Akdogan, Elcin; Yazgan-Sag, Gönul – Australian Mathematics Education Journal, 2023

In this article, the authors present a task that promotes mathematical creativity. The task focuses on defining new geometric concepts, whilst providing students with creative thinking opportunities. They discuss prospective mathematics teachers' experiences while conducting a geometric definition task. Prospective mathematics teachers who…

Descriptors: Creativity, Mathematics Education, Geometric Concepts, Creative Thinking

Kissane, Barry – Australian Mathematics Education Journal, 2023

Informal Australian discussion suggests that calculators are still widely regarded as devices for calculation, consistent with their naming, and are rarely recognised as potentially helpful to support students learning mathematics. In this paper, Barry Kissane explores some of the ways in which modern calculators might support students learning…

Descriptors: Calculators, Numbers, Mathematics Instruction, Secondary School Students

Reaburn, Robyn – Australian Mathematics Education Journal, 2023

It is wildly held belief that one way to interest students in mathematics is to use real-world examples. Mathematics teachers are aware of the lack of interest in mathematics by many students and seek ways to improve their motivation. It seems reasonable to suggest that demonstrating to students the ubiquitous nature of mathematics may help…

Descriptors: Mathematics Instruction, Student Interests, Relevance (Education), Student Motivation

Unpacking the Expertise of Teaching Mathematics: Why You "Would" Play with Blocks in Secondary Maths

Reid O'Connor, Bronwyn – Australian Mathematics Education Journal, 2023

In this article, the author reflects on the value of integrating concrete experiences into secondary mathematics classrooms. Her motivation in writing about this came from her experience as a secondary mathematics teacher, a specialist primary mathematics teacher, and a tertiary educator in both primary and secondary mathematics education. Through…

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

Hord, Casey; Baldrick, Paige; Duppstadt, Marissa – Australian Mathematics Education Journal, 2023

In this article, the author will demonstrate how gestures--often used in combination with offloading information on scratch paper--can be used to help students with difficulties in mathematics succeed with secondary level algebra. The authors will provide key examples from three studies of the algebra learning of students with mathematics…

Descriptors: Algebra, Mathematics Instruction, Nonverbal Communication, Teaching Methods

Holton, Derek – Australian Mathematics Education Journal, 2023

This article presents several mathematics problems on the same theme that can be used in class or for independent study. It is very difficult to show students how mathematics research is done by mathematicians, so the author first introduces a problem that can be tackled solely by arithmetic and then gives an idea of how a mathematician might…

Descriptors: Mathematics Activities, Mathematics Education, Arithmetic, Learner Engagement

Mills, Terence – Australian Mathematics Education Journal, 2023

Inductive reasoning is used when generalizing from particular cases to a general theory. The purpose of this paper is to present some highlights in the history of the problem of induction through notes on a selection of writers from ancient Greece to modern times. These notes contribute to the argument that there is a fundamental problem with…

Descriptors: Logical Thinking, Philosophy, Mathematics Education, Educational History

Mark A. Creager – Australian Mathematics Education Journal, 2023

Mark Creager noticed that how we teach students to reason mathematically may be counter-productive to our teaching goals. Sometimes a linear approach, focusing on sub-processes leading to a proof works well. But not always. Students should be made aware that reasoning is not always a straight forward process, but one filled with false starts and…

Descriptors: Secondary School Students, Mathematical Concepts, Mathematics Instruction, Logical Thinking

Barry Kissane – Australian Mathematics Education Journal, 2023

Leading on from a paper published in the previous edition of the "AMEJ" (Kissane, 2023), which looked at scientific calculators and irrational numbers, Barry Kissane now turns his attention to the attributes of modern calculators as environments for learning about rational numbers.

Descriptors: Calculators, Numbers, Mathematics Instruction, Mathematics Education

Vanessa Gorman; Florence Gabriel; Simon Leonard – Australian Mathematics Education Journal, 2023

Mathematics Anxiety (MA) is an increasing challenge for mathematics educators and is a barrier to mathematical learning. Through reflection on the implementation of a lesson sequence designed to elicit regular use of explicit metacognitive questions (EMQ's), this paper explores the impact of the incorporation of self-regulated learning (SRL)…

Descriptors: Mathematics Anxiety, Self Management, Learning Strategies, Metacognition

Eddie Woo – Australian Mathematics Education Journal, 2023

Eddie Woo discusses the importance of problem solving in mathematics education. He points to the need for teachers to carefully consider the approaches they use to best support the growth of problem-solving abilities in students.

Descriptors: Mathematics Education, Problem Solving, Mathematics Instruction, Mathematics Skills

Simon Crawley – Australian Mathematics Education Journal, 2023

In this article, the history of the golden ratio is discussed to demonstrate how exploring this ratio would be of value in a secondary mathematics classroom. Following this, a mathematical activity related to the golden ratio that is suitable for students from Year 7 to Year 12 is outlined.

Descriptors: Mathematical Concepts, Mathematics Activities, Secondary School Mathematics, Mathematics Instruction

Short Activity: Using Computational Thinking to Foster Deeper Understanding of Mathematical Concepts

Ben Zunica – Australian Mathematics Education Journal, 2023

Ben Zunica describes a lesson in which computational thinking has been successful in assisting students to understand the process of simplifying surds. The strengths and limitations of this approach are discussed. The author concludes that computational thinking can assist in solidifying understanding of a range of mathematical processes for…

Descriptors: Computation, Thinking Skills, Mathematical Concepts, Mathematics Instruction

Ava Greenwood; Michael Jennings – Australian Mathematics Education Journal, 2023

This paper reports on university students' responses to an inverse proportion question. The authors conclude that inverse proportion is a difficult concept that requires constant reinforcement, using approaches to teaching that facilitate deeper conceptual understanding.

Descriptors: Mathematical Concepts, Mathematics Instruction, College Students, College Mathematics