Elements of Teaching for Mastery
Elements of Teaching for Mastery


It is important for pupils to develop their procedural fluency alongside conceptual understanding and practice is an important part of achieving this.

However, mechanical practice should be avoided. Pupils need to be supplied with tasks which require ‘intelligent practice’ and have been designed using the principles of variation theory. There is variation in questions rather than variety.

Regular homework is set and pupils are encouraged to monitor their own achievements and understanding.

Source Guidance/Examples/Links/Stimuli
Variation  An article by Lai and Murray.
Variation and Mathematical Structure A paper by Anne Watson and John Mason on variation.
Effects of Variation on Children's Learning A booklet by Anne Watson working with the GLOW Mathshub look at variation in KS1&2
Teaching and Learning Mathematics through Variation      A book by Huang and Li about variation and confucian heritage meeting western theories.
Lo Variation Theory (2012) A short book on Variation Theory and the improvement of Teaching and Learning by Mun Ling Lo.
Variation Theory.com A website by Craig Barton looking at aspects and giving examples of variation.
Variation Example An example of variation taken from Mike Askew's book entitled 'Transforming Primary Mathematics, with notes.
Column Addition - Variation
Column Subtraction - Variation
Short Multiplication - Variation
Short Division - Variation
Extracts from NCETM's Primary Magazine's NC in Focus.
Variation  A video of a presentation given by Dr Debbie Morgan about variation theory.

Fractions Y1

Fractions Y2

Fractions Y3

Fractions Y4

Fractions Y5&6

Equivalent Fractions Y5&6

A series of files produced by a group of Kent Teachers about using variation with Fractions. These are provied as is and feedback is welcome.
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