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Download full textde Villiers, Celéste; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2013
Counting strategies initially used by young children to perform simple addition are often replaced by more efficient counting strategies, decomposition strategies and rule-based strategies until most answers are encoded in memory and can be directly retrieved. Practice is thought to be the key to developing fluent retrieval of addition facts. This…
Descriptors: Addition, Mathematics Instruction, Mathematics Skills, Computation
Misailadou, Christina; Williams, Julian – International Group for the Psychology of Mathematics Education, 2003
We report a study of 10-14 year old children's use of additive strategies while solving ratio and proportion tasks. Rasch methodology was used to develop a diagnostic instrument that reveals children's misconceptions. Two versions of this instrument, one with "models" thought to facilitate proportional reasoning and one without were…
Descriptors: Mathematical Concepts, Methods, Inferences, Misconceptions
