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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

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

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

Bragg, Leicha A.; Herbert, Sandra – Australian Primary Mathematics Classroom, 2017

Mathematical reasoning is one of the four proficiencies in the Australian Curriculum: Mathematics (AC:M) where it is described as: "[the] capacity for logical thought and actions, such as analysing, proving, evaluating, explaining, inferring, justifying and generalising" (Australian Curriculum, Assessment and Reporting Authority [ACARA],…

Descriptors: Foreign Countries, Mathematics Instruction, Mathematics Skills, Mathematical Logic

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

Maretich, Kaylene – Australian Primary Mathematics Classroom, 2017

Information and communication technology (ICT) is an integral aspect of the current Australian Curriculum: Mathematics. The language, strategies and resources required in mathematics education today can be very different to the mathematics lessons experienced by current teachers when they themselves were at school (Sousa, 2015). Learning…

Descriptors: Educational Technology, Technology Uses in Education, Mathematics Instruction, Elementary School Mathematics

Lovitt, Charles – Australian Primary Mathematics Classroom, 2017

As a self described lesson collector, author Charles Lovett enjoys gathering "interesting" lessons and teasing them apart to find out what makes them "tick", particularly the pedagogy. He often wonders what decisions the teacher made that generated such an interesting and successful learning environment. Here he describes a…

Descriptors: Puzzles, Mathematics Instruction, Teaching Methods, Instruction

Muir, Tracey; Watson, Jane – Australian Primary Mathematics Classroom, 2017

This article provides examples of teachable moments that are based on mathematical teaching episodes that the authors have either taught or observed, followed by discussions on how teachers might respond to these moments. It is hoped that this article may act as a stimulus for collaborative professional conversations as to whether or not teachable…

Descriptors: Mathematics Instruction, Teaching Methods, Educational Opportunities, Teaching Conditions

Day, Lorraine; Hurrell, Derek – Australian Primary Mathematics Classroom, 2017

The proliferation of computers, tablets, and internet access has brought the use of virtual manipulatives into the majority of classrooms in the developed world. In responding to the needs of today's students, many of whom are adept at accessing and manipulating technology devices, virtual manipulatives provide a variety of classroom…

Descriptors: Mathematics Instruction, Teaching Methods, Fractions, Manipulative Materials

Faragher, Rhonda; Stratford, Melanie; Clarke, Barbara – Australian Primary Mathematics Classroom, 2017

At the turn of this century, expectations for learning mathematics by students with Down syndrome were low. Research and practice continued to indicate considerable difficulty with number and calculation (Bird & Buckley, 2001). Unfortunately, most authors extrapolated difficulty with number to difficulty with mathematics in general, even…

Descriptors: Down Syndrome, Teaching Methods, Mathematics Instruction, Elementary School Mathematics

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

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

Bragg, Leicha A.; Koch, Jessica; Willis, Ashley – Australian Primary Mathematics Classroom, 2017

One way to heighten students' interest in the classroom is by personalising tasks. Through designing Robot Bioglyphs students are able to explore personalised data through a creative and engaging process. By understanding, producing and interpreting data, students are able to develop their statistical literacy, which is an essential skill in…

Descriptors: Teaching Methods, Statistics, Student Motivation, Foreign Countries