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Peer reviewedCarr, Ken; Katterns, Bob – Mathematics in School, 1984
This study involved 179 9-year-olds and 352 13-year-olds in New Zealand. Four addition and four subtraction tasks were set to ascertain students' ability to use the number line. Comparison of these data with results from the national assessment in the United States are given. (MNS)
Descriptors: Addition, Educational Research, Elementary School Mathematics, Elementary Secondary Education
Bright, George W. – Focus on Learning Problems in Mathematics, 1987
How computers have affected diagnosis in mathematics is discussed. A distinction is made between errors and mistakes, followed by consideration of computers as a diagnostic tool. The development of algorithms to diagnose errors and of models of student performance is described. (MNS)
Descriptors: Cognitive Development, Computer Assisted Instruction, Diagnostic Teaching, Elementary Secondary Education
Wachsmuth, Ipke; Lorenz, Jens-Holger – Focus on Learning Problems in Mathematics, 1987
Analysis of errors children make is modeled both with and without computers. Patterns of thinking are traced for a fifth grader, with the discussion focused on getting clues for remedial instruction by analyzing the dialog. (MNS)
Descriptors: Case Studies, Cognitive Processes, Computer Simulation, Diagnostic Teaching
Peer reviewedKnifong, J. Dan; Burton, Grace M. – Arithmetic Teacher, 1985
The need to provide understandable problems and ways to help children understand problems are explored. An interview with a sixth grader depicts his incorrect strategies and leads to suggestions for teaching problem solving using a range of mathematical models for each operation. (MNS)
Descriptors: Cognitive Processes, Computation, Elementary Education, Elementary School Mathematics
