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Page 2
From: Reflection-for-action and the choice or design of examples in the teaching of mathematics
The whole | Their sum is 112 | Bringing her total to 127 |
The parts that form the whole | Three numbers | The number of marbles in the marble game |
The relation between the parts | The first number is twice the second number The third is twice the first number | Doubles the number of marbles 55 more |
The transformation between the parts | x + 2× + 4× = 112 is transformed to 7× = 112 | 2× + 2× + 55 = 127 is transformed to 4× = 72 |
The relation between the part and the whole | x in relation to 112 | x in relation to 72 |
The relation between different wholes | The relation between the text and the mathematical expression | The relation between the text and the mathematical expression |