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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

Bicknell, Brenda; Young-Loveridge, Jenny; Simpson, Jackie – Australian Primary Mathematics Classroom, 2017

A robust understanding of place value is essential. Using a problem-based approach set within meaningful contexts, students' attention may be drawn to the multiplicative structure of place value. By using quotitive division problems through a concrete-representational-abstract lesson structure, this study showed a powerful strengthening of Year 3…

Descriptors: Number Concepts, Arithmetic, Mathematics Instruction, Young Children

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

Lovitt, Charles – Australian Primary Mathematics Classroom, 2017

This article describes how Charles Lovitt found a classroom activity in a resource book and by peering through a pedagogy lens, enhanced, tweaked, adapted, and extended the idea into a richer, healthier, well balanced classroom lesson. The task described in the article is often presented to students as a flash card for a limited time with the…

Descriptors: Learning Activities, Visual Stimuli, Teaching Methods, Computation

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

Throndsen, Jennifer; MacDonald, Beth; Hunt, Jessica – Australian Primary Mathematics Classroom, 2017

Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.

Descriptors: Mathematics, Mathematics Instruction, Kindergarten, Numbers

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

Otten, Mara; van den Heuvel-Panhuizen, Marja; Veldhuis, Michiel; Heinze, Aiso; Goldenberg, Paul – Australian Primary Mathematics Classroom, 2017

The importance of laying a foundation for algebraic reasoning at a young age is increasingly being emphasized. In this article, the authors report on an activity that elicits in a natural way algebraic strategies that in a later stage of learning algebra are crucial for solving equations. The activity brings about the students' spontaneous use of…

Descriptors: Mathematics Instruction, Algebra, Teaching Methods, Concept Formation