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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
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
Using a game-based context and concentrating explicitly on language, students in the early years are able to make sense about place value amid the vagaries of the English language in naming numbers. This conceptual approach to understanding place value allows students to further develop number strategies beyond counting by ones.
Descriptors: Educational Games, Teaching Methods, Mathematical Concepts, Numbers
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
Baum, Prudence; Perera, Radhika – Australian Primary Mathematics Classroom, 2017
Mathematics needs to take on a real-world quality, and students need to be able to identify and connect the value of what they are learning within the classroom to life outside the classroom. Creating a connection between the mathematics learned within a classroom and its value to life in the outside world is critical to effectively engage…
Descriptors: Preservice Teachers, Mathematics Instruction, Mathematical Concepts, Student Attitudes
Hall, Jennifer; Jao, Limin – Australian Primary Mathematics Classroom, 2017
In this article, the authors present two activities in which students explore angles and related geometric properties in the context of dance, namely ballet. The activities have been successfully implemented in pre-service numeracy classes at Monash University's two-year, post-degree teacher education program (MTeach). Specifically, the activities…
Descriptors: Mathematics Instruction, Measurement Equipment, Instrumentation, Foreign Countries
West, John – Australian Primary Mathematics Classroom, 2016
Problems sourced from national and international competitions such as the Australian Mathematics Competition are often used effectively as enrichment and/or extension activities for high achieving students. While this has meant that they are sometimes deemed too esoteric or trivial for use in the regular classroom, this paper takes the view that…
Descriptors: Mathematics Instruction, Foreign Countries, Knowledge Level, Teaching Methods
Hurst, Chris; Hurrell, Derek – Australian Primary Mathematics Classroom, 2016
Multiplicative thinking is accepted as a "big idea" of mathematics that underpins important mathematical concepts such as fraction understanding, proportional reasoning, and algebraic thinking. It is characterised by understandings such as the multiplicative relationship between places in the number system, basic and extended number…
Descriptors: Multiplication, Mathematics Instruction, Algebra, Mathematical Logic
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
Russo, James – Australian Primary Mathematics Classroom, 2016
The use of enabling and extending prompts allows tasks to be both accessible and challenging within a classroom. This article provides an example of how to use enabling and extending prompts effectively when employing a challenging task in Year 2.
Descriptors: Mathematics Instruction, Elementary School Mathematics, Teaching Methods, Mathematical Concepts
Day, Lorraine; Hurrell, Derek – Australian Primary Mathematics Classroom, 2015
Lorraine Day and Derek Hurrell provide a convincing argument for using arrays to promote students' understandings of mental computation strategies for multiplication. They also provide a range of different examples that illustrate the benefits of arrays in the primary classroom.
Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts, Computation
Hilton, Annette; Hilton, Geoff; Dole, Shelley; Goos, Merrilyn – Australian Primary Mathematics Classroom, 2015
Find out how to use photographic images to support the conceptual development of proportional thinking. This paper provides insight into a sequenced activity that promotes student engagement and makes links to familiar and unfamiliar contexts.
Descriptors: Visual Aids, Photography, Concept Formation, Mathematical Concepts
Muir, Tracey; Bragg, Leicha A.; Livy, Sharyn – Australian Primary Mathematics Classroom, 2015
The concept of functional thinking as a foundational idea associated with algebraic thinking is explored by Tracey Muir, Leicha Bragg and Sharyn Livy. They provide ideas for using children's literature as a context to promote functional thinking
Descriptors: Elementary School Mathematics, Thinking Skills, Childrens Literature, Algebra
Watson, Jane – Australian Primary Mathematics Classroom, 2015
Using statistical literacy skills to determine appropriate scales to be used on graphs is an essential part of numeracy. Using several meaningful contexts, this article explains very clearly when it is appropriate and inappropriate to begin the scale of a graph at zero.
Descriptors: Statistics, Numeracy, Graphs, Scaling