The evidence on calculator use is judged to be strong. Teach pupils that fractions and decimals extend the number system beyond whole numbers Fractions are often introduced to pupils with the idea that they represent parts of a whole—for example, one half is one part of a whole that has two equal parts.
Ensure that pupils develop fluent recall of number facts Quick retrieval of number facts is important for success in mathematics. Teach pupils to recognise and use mathematical structure Paying attention to underlying mathematical structure helps pupils make connections between problems, solution strategies, and representations that may, on the surface, appear different, but are actually mathematically equivalent.
However, these meta-analyses are at a general level and do not provide evidence about specific teaching approaches. They have magnitudes or values, and they can be used to refer to numbers in-between whole numbers. Four systematic reviews by the US What Works Clearinghouse provide evidence for specific teaching approaches in number and algebra.
Another important concept is often overlooked: Some examples of teachers supporting pupils to recognise mathematical structure are: Teach pupils to choose between mathematical strategies Teachers should help pupils to compare and choose between different methods and strategies for solving problems in algebra, number, and elsewhere.
They can be used to: One reason for encouraging understanding is to enable pupils to reconstruct steps in a procedure that they may have forgotten. The evidence strength is judged to be stronger in support of focusing on fluent recall, encouraging the deliberate choice of strategies and using number lines to represent fractions and decimals.
The aim is to enable pupils to self-regulate their use of calculators, consequently making less but better use of them.
Enable pupils to develop a rich network of mathematical knowledge Evidence strength Evidence Rating The review identified two relevant meta-analyses concerning the teaching of algebra. This recommendation presents the evidence regarding teaching specific topics in mathematics.
Pupils should be taught a range of mental, calculator, and pencil-and-paper methods, and encouraged to consider when different methods are appropriate and efficient. Number lines are a useful tool for teaching these concepts. Teach pupils to understand procedures Pupils are able to apply procedures most effectively when they understand how the procedures work and in what circumstances they are useful.
The review identified four meta-analyses investigating calculator use. This is an important concept, but does not extend easily to mixed fractions that are greater than 1.
In fact, studies have shown using a calculator can have positive impacts, not only on mental calculation skills, but also on problem-solving and attitudes towards maths.
Teachers should adopt such approaches while drawing on their knowledge of maths, their own professional experience, and the other recommendations in this guidance. Currently, the evidence about effective teaching approaches is stronger regarding number including fractions, ratio and proportion and algebra than for other areas such as geometry.
Although this recommendation concerns particular topics, teaching should emphasise the many connections between different mathematical facts, procedures, and concepts to create a rich network.Use the filters below to find resources that can help you. All resources are free to use, however, we do request that resources are not used for profit and that the source of the resources is always accredited.
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Leaving school with a good GCSE in maths is a prerequisite for progressing into quality jobs, apprenticeships, and further education. The skills we learn at school help us with everyday life too, whether that’s putting up a shelf or working out how much money we have left after we’ve paid our.
Starting points and inspiration for outdoor summer maths sessions for juniors. Download includes two worksheets. Topics also included are: counting and understanding numbers. Morpeth All Saints Church of England Aided First School. KS2 / KS3 Maths. This is simple rotation and writing coherent instructions using Pacman as a model.
It is designed to be an introduction to rotation and transformations.Download