curriculum and task design - wordpress.com
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Curriculum and Task DesignChris McGrane
PT MathsHolyrood Secondary
Glasgow
startingpointsmaths.com
@chrismcgrane84
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Procedural Fluency, Conceptual Understanding,
Mathematical Behaviours
startingpointsmaths.comWhat is to be learned?
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EEF Recommendations startingpointsmaths.com
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startingpointsmaths.comEEF Recommendations startingpointsmaths.com
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startingpointsmaths.comTeaching for Robust Understanding startingpointsmaths.com
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Mastery Learning startingpointsmaths.com
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Mastery Learning startingpointsmaths.com
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Mastery Learning startingpointsmaths.com
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Previously startingpointsmaths.com
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Mastery Learning startingpointsmaths.com
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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)
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Setting v Mixed Attainment startingpointsmaths.com
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Mastery Learning startingpointsmaths.com
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Better Mathematics startingpointsmaths.com
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vPreviously : an improvement - but not enough. startingpointsmaths.com
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Tony Gardiner startingpointsmaths.com
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Learning Trajectories startingpointsmaths.com
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Learning Trajectories startingpointsmaths.com
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• Is an over-emphasis on procedural fluency is obstructive ?
Learning Trajectories startingpointsmaths.com
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Learning Trajectories startingpointsmaths.com
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South Korea: Fraction Multiplication startingpointsmaths.com
The comparison of approaches is important!
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Fraction Comprehension startingpointsmaths.com
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Fraction Comprehension startingpointsmaths.com
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Why Tasks Matter
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Design Principles startingpointsmaths.comBetter Mathematics startingpointsmaths.com
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Booklets startingpointsmaths.com
• Forward Facing
• Connectionist
• Atomisation?
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• 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
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Booklets startingpointsmaths.com
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Booklets startingpointsmaths.com
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Booklets startingpointsmaths.com
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Moving Forwards startingpointsmaths.com
• Planning for retention: the spacing effect, interleaved practice
• Homework booklets: every child, every night policy
• Digitalisation of assessments
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Book startingpointsmaths.com
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Book startingpointsmaths.com
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startingpointsmaths.com
@chrismcgrane84