MESHGuides

 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

Common errors and misconceptions

4 aspects of fractions: ways learners understand fractions

• Part of a whole

• Part of a set

• Result of a division

• Point on a number line

Barnby (UK prev. Durham) Boulet (France)

Carpenter xx

Nunes (Oxford, UK)

Pape (Johns Hopkins, USA)

Rowland (Cambridge, UK)

Tall (Warwick,UK)