Descriptor
| Cognitive Development | 1 |
| Grade 7 | 1 |
| Grade 8 | 1 |
| Instruction | 1 |
| Learning | 1 |
| Mathematics Education | 1 |
| Ratios (Mathematics) | 1 |
| Research | 1 |
| Secondary School Mathematics | 1 |
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| Karplus, Robert | 1 |
| Wollman, Warren | 1 |
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Peer reviewedWollman, Warren; Karplus, Robert – School Science and Mathematics, 1974
A total of 450 seventh and eighth graders responded to six tasks requiring proportional reasoning and representing different degrees of concreteness. Results showed that more students answered questions correctly when concrete aspects existed, and that about one-fourth of the group was unpredictable in applying proportional reasoning at the formal…
Descriptors: Cognitive Development, Grade 7, Grade 8, Instruction
