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Suydam, Marilyn N. – Arithmetic Teacher, 1985
Developing concepts, modeling, and solving problems form the core of essential learning about addition and subtraction. That educators may make the task more difficult than necessary is the thrust of several recent studies. Highlights from these studies (with suggestions for instruction) are presented. (JN)
Descriptors: Addition, Educational Research, Elementary Education, Elementary School Mathematics

Carr, 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

Christensen, Carol A.; Cooper, Tom J. – British Educational Research Journal, 1992
Presents results from an Australian study examining whether children who use cognitive strategies in solving simple addition questions develop greater proficiency in addition than children who do not use such strategies. Describes the subjects, instruments, procedure, and instructional treatment. Concludes that the development of cognitive…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Comparative Analysis
Romberg, Thomas A.; Collis, Kevin F. – 1987
Summarized are the findings from five studies carried out in Australia in 1979-80. First was a cross-sectional survey designed to determine the memory capacity of a population of children in grades 1-3. The second study investigated performance differences on a variety of mathematically related developmental tasks for the same group. Data from…
Descriptors: Addition, Cognitive Processes, Educational Research, Elementary Education

Swart, William L. – Arithmetic Teacher, 1985
Findings from a study with first-grade children on addition and subtraction help make a case for a conceptual rather than a mechanized approach to the operations. How base ten blocks were used in the program is illustrated. (MNS)
Descriptors: Addition, Computation, Decimal Fractions, Educational Research
Usnick, Virginia; Engelhardt, Jon M. – Focus on Learning Problems in Mathematics, 1988
Describes a study designed to investigate the relationship between students' learning of the standard double-digit addition algorithm and basic fact mastery or numeration concepts. Results suggest basic fact mastery and knowledge of numeration concepts may not be as necessary as previously assumed to learning multidigit addition. (PK)
Descriptors: Addition, Basic Skills, Computation, Educational Research

Denvir, B.; Brown, M. – Educational Studies in Mathematics, 1986
Three studies on the development of number concepts (counting, addition, subtraction, and place value) in seven- to nine-year-olds considered low attainers in mathematics were conducted. The search for a descriptive framework, the development of a diagnostic assessment instrument, and a longitudinal study are reported. (MNS)
Descriptors: Addition, Cognitive Processes, Diagnostic Teaching, Educational Research
Kamii, Constance Kazuko; DeClark, Georgia – 1985
In the foreword to this book, Inhelder states that its essential contribution is that "it transposed to actual reality Piaget's central epistemological thesis according to which mathematical thought is, from its most elementary manifestations, the product of the subject's activity that he characterized by the term 'reflective…
Descriptors: Addition, Arithmetic, Cognitive Development, Educational Games