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Livy, Sharyn; Muir, Tracey; Sullivan, Peter – Australian Primary Mathematics Classroom, 2018

Productive struggle leads to productive classrooms where students work on complex problems, are encouraged to take risks, can struggle and fail yet still feel good about working on hard problems (Boaler, 2016). Teachers can foster a classroom culture that values and promotes productive struggle by providing students with challenging tasks. These…

Descriptors: Mathematics Instruction, Problem Solving, Mathematics, Professional Personnel

Throndsen, Jennifer; MacDonald, Beth; Hunt, Jessica – Australian Primary Mathematics Classroom, 2017

Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.

Descriptors: Mathematics, Mathematics Instruction, Kindergarten, Numbers

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

Mildenhall, Paula – Australian Primary Mathematics Classroom, 2016

Very recently, in the "Australian Association of Mathematics Teachers (AAMT)/Australian Industry Group quantitative report" (2014), concerns were raised that school mathematics is lacking real world application. This report highlighted the gaps between school mathematics and the requirements of the workplace. After interviewing industry…

Descriptors: Computation, Mathematics Skills, Mathematics, Mathematics Instruction

Khosroshahi, Leyla G.; Asghari, Amir H. – Australian Primary Mathematics Classroom, 2016

There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…

Descriptors: Arithmetic, Addition, Subtraction, Problem Solving

Gabriel, Florence – Australian Primary Mathematics Classroom, 2016

Fractions are known to be difficult to learn and difficult to teach, yet they are vital for students to have access to further mathematical concepts. This article uses evidence to support teachers employing teaching methods that focus on the conceptual understanding of the magnitude of fractions.

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

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

Cheeseman, Jill; Clarke, Doug; Roche, Anne; Walker, Nadia – Australian Primary Mathematics Classroom, 2016

Introducing challenging tasks in such a way that makes them accessible, rather than daunting, to students is a challenge for teachers. Solving challenging tasks involves students having to grapple with the problem. The role of the teacher is to motivate and clarify the problem rather than showing students how to solve the problem.

Descriptors: Teacher Role, Problem Solving, Teaching Methods, Mathematics

Selmer, Sarah; Valentine, Keri; Luna, Melissa; Rummel, Sarah; Rye, James – Australian Primary Mathematics Classroom, 2016

Using Garden Based Learning (GBL) as an integrated mathematics and science unit, this article describes the mathematical journey of students as they work through the process of designing their own garden beds.

Descriptors: Gardening, Mathematics, Mathematics Instruction, Mathematics Education

Russo, James – Australian Primary Mathematics Classroom, 2016

The Smarties-Box Challenge encourages students to apply several different mathematical capabilities and concepts--such as, estimation, multiplication, and the notion of being systematic--to solve a complex, multistep problem. To effectively engage in the Smarties-Box Challenge, students are required to demonstrate aspects of all four proficiency…

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

Faulkner, Valerie; Walkowiak, Temple; Cain, Chris; Lee, Carrie – Australian Primary Mathematics Classroom, 2016

Equality is such an important concept for children to develop. In this article it is argued that a precise definition is needed to ensure that students are provided with a consistent "picture" of what it is that equality really means.

Descriptors: Mathematics, Mathematical Concepts, Mathematical Formulas, Geometric Concepts

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

West, John – Australian Primary Mathematics Classroom, 2014

In this article, John West explores student misconceptions relating to division. A range of activities that promote the understanding of divisibility rules are provided.

Descriptors: Arithmetic, Mathematics, Instruction, Elementary School Mathematics

Yearley, Shelley; Bruce, Catherine D. – Australian Primary Mathematics Classroom, 2014

Teaching and learning fraction concepts provides challenges in primary schools all over the world. In this article, Shelley Yearley and Catherine Bruce describe a fractions-based research project conducted in Ontario, Canada.

Descriptors: Fractions, Foreign Countries, Mathematics, Mathematics Education