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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

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

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

Ford, Jessica – Australian Primary Mathematics Classroom, 2018

The world in which students are learning is unique. Technology is progressing rapidly, and this is having a direct impact on teaching and learning. Teachers have the choice to embrace this or not. The instant access to information has the power to change pedagogies and students' experience of mathematics learning. Hence several questions arise: Do…

Descriptors: Technology Uses in Education, Video Technology, Mathematics Education, Educational Benefits

Ferrington, Bruce – Australian Primary Mathematics Classroom, 2018

Making patterning the basis of mathematics investigations for an entire year produced unexpected results for Bruce Ferrington. A Year 2 class used the spatial tasks from the Pattern and Structure Mathematics Awareness Program (PASMAP) with a specific emphasis on patterning, to develop their thinking mathematically skills. The result was students…

Descriptors: Elementary School Mathematics, Mathematical Concepts, Thinking Skills, Skill Development

Swan, Paul – Australian Primary Mathematics Classroom, 2018

In order to solve word problems, students need to be able not just to read the words but comprehend what they mean. Paul Swan discusses three tiers of vocabulary that need to be included in the pedagogy of mathematics lessons and strategies for classroom practice.

Descriptors: Word Problems (Mathematics), Problem Solving, Mathematics Instruction, Numeracy

Baroutsis, Aspa; White, Sonia L. J.; Hamilton, Annette; Jones, Madeline; Waters, Rayelene – Australian Primary Mathematics Classroom, 2018

This article encourages approaches that develop children's understandings of data representations. In particular, when children develope flexibility in their approaches to data representation and understanding, the same data can be represented in different ways. Flexible and adaptive use of representations is part of mathematics competence which…

Descriptors: Foreign Countries, Elementary School Mathematics, Elementary School Students, Mathematics Instruction

Hurst, Chris; Hurrell, Derek – Australian Primary Mathematics Classroom, 2018

This article describes some of the essential mathematics that underpins the use of algorithms through a series of learning pathways. To begin, a graphic depicting the mathematical ideas and concepts that underpin the learning of algorithms for multiplication and division is provided. The understanding and use of algorithms is informed by two…

Descriptors: Mathematics, Mathematics Instruction, Multiplication, Division

Tripet, Kristen; Barker, Valerie; Patel, Ruqiyah; Thornton, Steve – Australian Primary Mathematics Classroom, 2018

Algebraic reasoning is foundational to all mathematical thinking. This is no less the case in the early years of school, where the capacity to recognise the structure of mathematical processes enables students to acquire deep conceptual understanding. It is through algebra, therefore, that students are able to explore and express mathematical…

Descriptors: Algebra, Mathematical Logic, Mathematics Instruction, Grade 3

Cheeseman, Jill; Klooger, Michele – Australian Primary Mathematics Classroom, 2018

A major problem for teachers is that students are different, they learn mathematics differently, and at different rates. Regardless of this, schools organise students into large groups or classes of 20 to 30 students all about the same age. Then there is the "Australian Curriculum: Mathematics" that states the student learning outcomes…

Descriptors: Mathematics Instruction, Mathematics Teachers, Student Diversity, Cognitive Style

Vatalis, Emilia – Australian Primary Mathematics Classroom, 2018

This article explores how the use of digital devices such as fitness trackers, robotic toys and handheld mobile devices may be used by teachers to enhance student learning in geometric reasoning. It provides teachers with specific examples that encompass current pedagogy and practice to discuss the benefits of using these mobile devices within a…

Descriptors: Educational Technology, Technology Uses in Education, Handheld Devices, Telecommunications