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Curriculum and Task DesignChris McGrane
PT MathsHolyrood Secondary
Glasgow
startingpointsmaths.com
@chrismcgrane84
Procedural Fluency, Conceptual Understanding,
Mathematical Behaviours
startingpointsmaths.comWhat is to be learned?
EEF Recommendations startingpointsmaths.com
startingpointsmaths.comEEF Recommendations startingpointsmaths.com
startingpointsmaths.comTeaching for Robust Understanding startingpointsmaths.com
Mastery Learning startingpointsmaths.com
Mastery Learning startingpointsmaths.com
Mastery Learning startingpointsmaths.com
Previously startingpointsmaths.com
Mastery Learning startingpointsmaths.com
Setting v Mixed Attainment startingpointsmaths.com
• 7 year gap upon arrival at secondary
• Mathematics IS different
• What about ‘social justice’?
: significant numbers at 2 or 3 year gap.
• Setting: Conveyor Belt versus Mastery • Setting: Teacher expectations?
• Third Level / KS3 is the bridge from elementary arithmetic to abstract mathematical thinking of secondary (Tony Gardiner)
Setting v Mixed Attainment startingpointsmaths.com
Mastery Learning startingpointsmaths.com
Better Mathematics startingpointsmaths.com
vPreviously : an improvement - but not enough. startingpointsmaths.com
Tony Gardiner startingpointsmaths.com
Learning Trajectories startingpointsmaths.com
Learning Trajectories startingpointsmaths.com
• Is an over-emphasis on procedural fluency is obstructive ?
Learning Trajectories startingpointsmaths.com
Learning Trajectories startingpointsmaths.com
South Korea: Fraction Multiplication startingpointsmaths.com
The comparison of approaches is important!
Fraction Comprehension startingpointsmaths.com
Fraction Comprehension startingpointsmaths.com
Why Tasks Matter
Design Principles startingpointsmaths.comBetter Mathematics startingpointsmaths.com
Booklets startingpointsmaths.com
• Forward Facing
• Connectionist
• Atomisation?
• Not just random sheets
• A planned journey
• Coherence of models and metaphors
• A rich variety of taks: procedural, conceptual and problem solving
• To convey the curriculum to teachers
• To guide the pedagogical approaches
Booklets startingpointsmaths.com
Booklets startingpointsmaths.com
Booklets startingpointsmaths.com
Booklets startingpointsmaths.com
Moving Forwards startingpointsmaths.com
• Planning for retention: the spacing effect, interleaved practice
• Homework booklets: every child, every night policy
• Digitalisation of assessments
Book startingpointsmaths.com
Book startingpointsmaths.com
startingpointsmaths.com
@chrismcgrane84
