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Centre for Research in Mathematics Education (CRME)
MARS: number: calculation
This collection features fifteen resources on the topic of calculation.
The resources feature:
- Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
- Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
- Tasks that provide mathematically rich problems that come with work for students to peer assess.
The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.
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Adding and subtracting directed numbers
This lesson develops the concept of adding and subtracting directed numbers. The activities address common misconceptions about the addition and subtraction of directed numbers. Students explain their reasoning using diagrams.
The activities use the ‘charge’ model of directed numbers. For example, a diagram...
Finding factors and multiples
This lesson develops the concept of ‘Greatest Common Factor’ (GCF) and ‘Least Common Multiple’ (LCM). The central theme is to separate out the two concepts.
There is an introductory ‘guess my numbers’ activity. The GCF and LCM of a pair of numbers is given and students must work out what the numbers are,...
Interpreting multiplication and division
This lesson develops the concept of interpreting multiplication and division. This includes working with calculations that involve non-integers. An outcome of the lesson is that students will be better able to select the correct operation to perform when solving word problems.
An initial activity has five...
Representing the laws of arithmetic
This lesson develops the concept of using diagrammatic representations of calculations. Attention is paid to order of operations, along with the distributive and commutative properties.
An introductory activity considers areas of rectangles in relation to calculations, what is often termed ‘the grid method...
Pages
| Subject(s) | Mathematics |
|---|---|
| Age | 11-14 |
| Published | 2010 to 2019 |
| Published by | 
Submitted by Anna Richardson on
|
| Collections | |
| Direct URL | https://www.stem.org.uk/cxfgau |
