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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

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

Russo, James – Australian Primary Mathematics Classroom, 2017

Benchmarking is an important strategy for comparing the size of fractions. In addition, knowing whether a given fraction is greater or less than a particular benchmark (e.g., one-half) can support students with accurately locating the fraction on a number line. This article offers a game-based activity that engages students in discussions around…

Descriptors: Mathematics Instruction, Benchmarking, Comparative Analysis, Fractions

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

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

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

Russo, James – Australian Primary Mathematics Classroom, 2017

James Russo begins a discussion of the difficulty and time-consuming activity of Googling to find lesson plans and resources to keep his lessons more interesting and engaging, since such resources seem particularly scarce for math teachers. Russo writes that joining professional associations has given him ready access to higher quality resources…

Descriptors: Mathematics Instruction, Lesson Plans, Planning, Educational Quality

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

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