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Russo, James – Australian Primary Mathematics Classroom, 2015

In this article James Russo presents the Strategies, Understanding, Reading and Fast Facts Framework (SURF) for mental computation. He explains how this framework can be used to deepen mathematical understanding and build mental flexibility.

Descriptors: Mental Computation, Teaching Methods, Educational Strategies, Mathematics Achievement

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

Mardjetko, Emilia; Macpherson, Julie – Australian Primary Mathematics Classroom, 2007

Mathematical computation consists of both written computation and mental computation. The strategies for mental computation can be used to check the reasonableness of written computations. Mental computation has two distinguishing characteristics: "it produces an exact answer, and the procedure is performed mentally, without using external…

Descriptors: Mental Computation, Teaching Methods, Foreign Countries, Primary Education

Caney, Annaliese – Australian Primary Mathematics Classroom, 2004

Facilitating mental computation discussion comes with its own set of challenges for researchers and teachers. It is important to be able to help capture the students' ideas, before they disappear and seem like little more than moments of magic! In enabling children to learn how numbers work, the current emphasis on mental computation is driven by…

Descriptors: Questioning Techniques, Testing, Mental Computation, Teachers

Chick, Helen – Australian Primary Mathematics Classroom, 2009

Fluency with basic number facts is vital for students' progress in mathematics. Not only does it contribute to students' facility with mental computation and algorithms, but an understanding of numbers and their properties builds a foundation for future mathematical work including algebra. There are many activities that can help students "make…

Descriptors: Numbers, Mental Computation, Number Concepts, Elementary School Mathematics

Chesney, Marlene – Australian Primary Mathematics Classroom, 2013

Marlene Chesney describes a piece of research where the participants were asked to complete a calculation, 16 + 8, and then asked to describe how they solved it. The diversity of invented strategies will be of interest to teachers along with the recommendations that are made. So "how do 'you' solve 16 + 8?"

Descriptors: Mathematics Instruction, Mental Computation, Mathematical Logic, Addition

Peer reviewed

Vale, Colleen – Australian Primary Mathematics Classroom, 1999

Computation activities focusing on speed and accuracy do not provide children with the opportunity to learn or develop their own mental computation strategies. Sets out some goals and ideas for teaching mental computation and introduces a card game for helping children compute mentally. (ASK)

Descriptors: Computation, Educational Games, Elementary Education, Elementary School Mathematics

Kartambis, Kathy – Australian Primary Mathematics Classroom, 2007

Research has established that children's development of addition and subtraction skills progresses through a hierarchy of strategies that begin with counting-by-one methods through to flexible mental strategies using a combination of knowledge of basic facts and understanding of place value. An important transition point is the shift from the…

Descriptors: Mental Computation, Number Concepts, Subtraction, Arithmetic

Bobis, Janette – Australian Primary Mathematics Classroom, 2007

Drawing upon research, theory, classroom and personal experiences, this paper focuses on the development of primary-aged children's computational fluency. It emphasises the critical links between number sense and a child's ability to perform mental and written computation. The case of multi-digit multiplication is used to illustrate these…

Descriptors: Computation, Mathematics Education, Primary Education, Mental Computation

McIntosh, Alistair – Australian Primary Mathematics Classroom, 2004

In this article, the author presents the results of a state project that focused on the effect of developing informal written computation processes through Years 2-4. The "developing computation" project was conducted in Tasmania over the two years 2002-2003 and involved nine schools: five government schools, two Catholic schools, and…

Descriptors: Catholic Schools, Mental Computation, Number Concepts, Teaching Methods

Peer reviewed

Morgan, Geoffrey – Australian Primary Mathematics Classroom, 2000

Debates the place of standard methods, the calculator, and mental mathematics in elementary education. Proposes a framework for computation that emphasizes a sequence for introducing computational procedures. (ASK)

Descriptors: Algorithms, Calculators, Computation, Elementary Education

Khosroshahi, Leyla G.; Asghari, Amir H. – Australian Primary Mathematics Classroom, 2016

There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…

Descriptors: Arithmetic, Addition, Subtraction, Problem Solving

Swan, Paul – Australian Primary Mathematics Classroom, 2004

Mathematics curriculum documents highlight the need for students to be able to choose from a repertoire of computational tools and strategies, but little direction is given as to how children choose which form of computation to use in any given situation. In this article, the author reports on the classroom implications of research designed to…

Descriptors: Mathematics Curriculum, Foreign Countries, Primary Education, Computation

Sexton, Matthew; Gervasoni, Ann; Brandenburg, Robyn – Australian Primary Mathematics Classroom, 2009

Curriculum reform aimed at improving students' reasoning strategies for calculating was the focus of a research project in which the authors participated along with two school communities in regional Victoria. Another focus of the research was assisting teachers to gain insight into how their students approached calculations. This article explores…

Descriptors: Curriculum Development, Mathematics Education, Cartoons, Scientific Concepts