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Livy, Sharyn; Muir, Tracey; Downton, Ann – Australian Primary Mathematics Classroom, 2017

One of the challenges facing teacher educators is providing our pre-service teachers (PSTs) with authentic experiences that cross the boundaries between Initial Teacher Education (ITE) and the classroom. An additional challenge facing the mathematics teacher educator, is addressing and deepening PSTs' mathematical content knowledge (MCK), which…

Descriptors: Preservice Teachers, Mathematics Instruction, Teacher Educators, Preservice Teacher Education

Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E. – Australian Primary Mathematics Classroom, 2017

Providing students with an opportunity to explore mathematical content through games allows teachers to include tasks that: (1) present alternative representations of the content; (2) welcome various expressions of mathematical reasoning; and (3) incorporate variations that empower all students to engage in the problem solving process. Games not…

Descriptors: Mathematics Instruction, Educational Games, Mathematical Logic, Access to Education

Fuentes, Sarah Quebec; Crawford, Lindy; Huscroft-D'Angelo, Jacqueline – Australian Primary Mathematics Classroom, 2017

All students should have opportunities to develop their ability to reason mathematically. Gersten and Chard (1999) support this stance with respect to students with learning disabilities: "Even if students are not automatic with basic facts, they still should be engaged in activities that promote the development of number sense and…

Descriptors: Teaching Models, Mathematics Instruction, Mathematical Logic, Comparative Analysis

Hurst, Chris; Hurrell, Derek – Australian Primary Mathematics Classroom, 2017

A journey into multiplicative thinking by three teachers in a primary school is reported. A description of how the teachers learned to identify gaps in student knowledge is described along with how the teachers assisted students to connect multiplicative ideas in ways that make sense.

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

Tucker, Steven; Shumway, Jessica F.; Moyer-Packenham, Patricia S.; Jordan, Kerry E. – Australian Primary Mathematics Classroom, 2016

Teachers increasingly use virtual manipulatives and other apps on touch-screen devices (e.g., "iPads") in an effort to help students understand mathematics concepts. However, students experience these apps and their affordances in different ways. The purpose of this article is to inform teachers' decisions about app implementation in the…

Descriptors: Telecommunications, Handheld Devices, Technology Uses in Education, Thinking Skills

Larkin, Kevin – Australian Primary Mathematics Classroom, 2016

This article proposes a framework for classroom teachers to use in making pedagogical decisions regarding which mathematical materials (concrete and digital) to use, when they might be most appropriately used, and why. Two iPad apps ("Area of Shapes (Parallelogram)" and "Area of Parallelogram") are also evaluated to demonstrate…

Descriptors: Mathematics, Mathematics Education, Mathematics Instruction, Teaching Methods

McDonough, Andrea – Australian Primary Mathematics Classroom, 2016

Early years mathematics classrooms can be colourful, exciting, and challenging places of learning. Andrea McDonough and fellow teachers have noticed that some students make good decisions about using materials to assist their problem solving, but this is not always the case. These experiences lead her to ask the following questions: (1) Are…

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Thinking Skills

Taylor, Merilyn; Hawera, Ngarewa – Australian Primary Mathematics Classroom, 2016

Rich learning tasks embedded within a familiar context allow students to work like mathematicians while making sense of the mathematics. This article demonstrates how 11-12 year-old students were able to employ all of the proficiency strands while demonstrating a deep understanding of some of the "big ideas" of probabilistic thinking.

Descriptors: Probability, Educational Games, Mathematics, Mathematics Education

Russo, James – Australian Primary Mathematics Classroom, 2016

This article describes activities in which students deepen their relational understanding of the equals sign through exploring inequalities in a competitive dice game, built around the familiar fairy-tale "The Three Little Pigs" and "The Big Bad Wolf." The activity can be adapted to different abilities by choosing more or less…

Descriptors: Picture Books, Teaching Methods, Class Activities, Mathematics Education

Watson, Kelly – Australian Primary Mathematics Classroom, 2016

In order for students to move from using concrete materials to using mental strategies and from additive to multiplicative thinking, the use of arrays and visualisation is pivotal. This article describes a lesson in which students are taken through a Concrete-Representational-Abstract (CRA) approach that involves noticing structure, using…

Descriptors: Multiplication, Visualization, Mathematics Instruction, Problem Solving

Ramful, Ajay; Ho, Siew Yin – Australian Primary Mathematics Classroom, 2015

In this article, Ajay Ramful and Siew Yin Ho explain the meaning of quantitative reasoning, describing how it is used in the to solve mathematical problems. They also describe a diagrammatic approach to represent relationships among quantities and provide examples of problems and their solutions.

Descriptors: Mathematics Instruction, Problem Solving, Statistical Analysis, Mathematical Logic

Muir, Tracey; Bragg, Leicha A.; Livy, Sharyn – Australian Primary Mathematics Classroom, 2015

The concept of functional thinking as a foundational idea associated with algebraic thinking is explored by Tracey Muir, Leicha Bragg and Sharyn Livy. They provide ideas for using children's literature as a context to promote functional thinking

Descriptors: Elementary School Mathematics, Thinking Skills, Childrens Literature, Algebra

Patahuddin, Sitti Maesuri; Ramful, Ajay; Greenlees, Jane – Australian Primary Mathematics Classroom, 2015

An engaging activity which prompts students to listen, talk, reason and write about geometrical properties. The "Bag of Tricks" encourages students to clarify their thoughts and communicate precisely using accurate mathematical language.

Descriptors: Mathematics, Mathematics Activities, Geometry, Geometric Concepts

Bragg, Leicha A.; Widjaja, Wanty; Loong, Esther Yook-Kin; Vale, Colleen; Herbert, Sandra – Australian Primary Mathematics Classroom, 2015

Reasoning in mathematics plays a critical role in developing mathematical understandings. In this article, Bragg, Loong, Widjaja, Vale & Herbert explore an adaptation of the Magic V Task and how it was used in several classrooms to promote and develop reasoning skills.

Descriptors: Mathematics Instruction, Mathematical Logic, Thinking Skills, Elementary School Mathematics

Wilkie, Karina J. – Australian Primary Mathematics Classroom, 2014

Karina Wilkie discusses functional thinking in the primary classroom. She provides a useful learning progression with sample responses to a growing pattern task.

Descriptors: Elementary School Mathematics, Mathematics Instruction, Algebra, Teaching Methods