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Hilton, Annette; Hilton, Geoff – Australian Primary Mathematics Classroom, 2018

This article describes part of a study in which researchers designed lesson sequences based around using a string number line to help teachers support children's development of relative thinking and understanding of linear scale. In the first year of the study, eight teachers of Years 3-5 participated in four one-day professional development…

Descriptors: Mathematics Education, Mathematics Instruction, Abstract Reasoning, Mathematical Logic

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

West, John – Australian Primary Mathematics Classroom, 2018

The importance of mathematical reasoning is unquestioned and providing opportunities for students to become involved in mathematical reasoning is paramount. The open-ended tasks presented incorporate mathematical content explored through the contexts of problem solving and reasoning. This article presents a number of simple tasks that may be…

Descriptors: Mathematics Instruction, Mathematical Logic, Problem Solving, Fractions

Attard, Catherine – Australian Primary Mathematics Classroom, 2018

The low levels of student engagement with mathematics has been of significant concern in Australia for some time (Attard, 2013). This is a particularly important issue in mathematics education given the current attention to science, technology, engineering and mathematics (STEM) education to ensure "the continued prosperity of Australia on…

Descriptors: Money Management, Learner Engagement, Elementary School Mathematics, Case Studies

Hurst, Chris – Australian Primary Mathematics Classroom, 2018

Evidence suggests that some students have learned procedures with little or no underpinning understanding while others have a much more connected and conceptual levels of understanding. In this article, the work of four primary students is discussed in terms of their contextual understanding of multiplicative concepts. The difference between…

Descriptors: Mathematics Instruction, Mathematical Logic, Multiplication, Teaching Methods

Seah, Rebecca – Australian Primary Mathematics Classroom, 2018

Using the correct materials and manipulatives appropriately allows the richness of geometrical concepts to be fully investigated to enable students to explore and reason about shapes. This article explores some of the key ideas involved in learning about two dimensional shapes and discusses how materials can be used to support learning.

Descriptors: Geometric Concepts, Plane Geometry, Media Selection, Resource Materials

Stumbles, Robert – Australian Primary Mathematics Classroom, 2018

The foundation of geometric knowledge and understanding starts in primary school, and in contemporary mathematics education there is an emphasis on identifying learning progressions and trajectories as a way of moving students forward. The van Hiele (1986) theory is well-documented and provides insights into the progression and differences of…

Descriptors: Geometry, Mathematics Education, Courseware, Teaching Methods

Vale, Colleen; Bragg, Leicha A.; Widjaja, Wanty; Herbert, Sandra; Loong, Esther Yook-Kin – Australian Primary Mathematics Classroom, 2017

Reasoning underpins students' mathematical understanding and promotes creative thinking. It is regarded as a key mathematical proficiency. This article discusses the reasoning actions that primary children employed and teachers noticed for the "What else belongs?" task focused on forming and testing conjectures.

Descriptors: Elementary School Students, Elementary School Teachers, Mathematical Logic, Creative Thinking

Mitten, Carolyn; Jacobbe, Tim; Jacobbe, Elizabeth – Australian Primary Mathematics Classroom, 2017

Formative assessment is so important to inform teachers' planning. A discussion of the benefits of using technology to facilitate formative assessment explains how four primary school teachers adopted three different apps to make their formative assessment more meaningful and useful.

Descriptors: Formative Evaluation, Planning, Technology Uses in Education, Educational Technology

Richardson, Sue Ellen; Koyunkaya, Melike Yigit – Australian Primary Mathematics Classroom, 2017

We have used "GeoGebra," a dynamic geometry software environment, to explore how Year 4 students understand definitions of angles. Seven students defined angle and then completed several activities adapted for the dynamic environment. Afterward, students again shared their definitions of angles. We found that even a short investigation…

Descriptors: Educational Technology, Computer Uses in Education, Computer Software, Mathematics Instruction

Russo, James; Hopkins, Sarah – Australian Primary Mathematics Classroom, 2017

This paper outlines a seven-step process for developing problem-solving tasks informed by cognitive load theory. Through an example of a task developed for Year 2 students, we show how this approach can be used to produce challenging mathematical tasks that aim to optimise cognitive load for each student.

Descriptors: Mathematics Activities, Cognitive Processes, Difficulty Level, Curriculum Design

Faulkner, Valerie; Ainslie, Jennifer – Australian Primary Mathematics Classroom, 2017

The importance and usefulness of building on perceptual subitising and the development of conceptual subitising is explained. A guide on how to continue to develop numerical ideas based on subitising is shared.

Descriptors: Mathematics Activities, Numeracy, Number Concepts, Media Adaptation

Lovitt, Charles – Australian Primary Mathematics Classroom, 2017

Having a nice mathematical task is one challenge for a teacher--another is making it come alive for students in the classroom. The pathway to the latter is pedagogy--the range of teaching strategies possessed and activated by the teacher. This article presents a delightful mathematical activity known as Spirolaterals, a geometrical figure formed…

Descriptors: Mathematics Instruction, Geometry, Mathematics Activities, Teaching Methods

Fitzallen, Noleine; Watson, Jane; Wright, Suzie – Australian Primary Mathematics Classroom, 2017

When working within a meaningful context quite young students are capable of working with sophisticated data. Year 3 students investigate thermal insulation and the transfer of heat in a STEM inquiry, developing skills in measuring temperature by conducting a statistical investigation, and using a stylised graph to interpret their data.

Descriptors: Grade 2, Elementary School Students, Graphs, Data Interpretation

Hourigan, Mairead; Leavy, Aisling – Australian Primary Mathematics Classroom, 2017

Working within the context of a contest to find the most beautiful tourist attraction in the world, Year 5 students investigate the most symmetric building from a short-list of three iconic buildings. This involves investigating both line and rotational symmetry in order to make an informed decision about the symmetrical nature of each building.

Descriptors: Mathematics Instruction, Geometry, Architecture, Mathematics Activities