Fractions

MathSticks (evidence for advice may not be trackable)

Mastery Pedagogy: explanation, representation(visual modelling), coherence

Multiplicative thinking

• Equivalence
• Developing procedural fluency with fractions
• Links to part/part relationships (ratio)

 Nrich - Cambridge (research driven)

Use of visual representations (Pape, Rowland, Barmby and others)

 What children find hard:

• Equipartitioning

• Reconstitution

• Order

• Quantification (Boulet))

Early ideas and experiences about fractions that are based on division situations

Morse and Clark (University of Winchester) on the Shanghai Method in the UK (UCET)

See MESHGuide “Maths Anxiety is Curable”; Assessment for Learning the four operations; Reading and writing mathematics

Carefully chosen examples showing conceptual and procedural variation