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A Longitudinal Study of Invention and Understanding in Children's Multidigit Addition and Subtraction
Thomas P. Carpenter, Megan L. Franke, Victoria R. Jacobs, Elizabeth Fennema and Susan B. Empson
Journal for Research in Mathematics Education
Vol. 29, No. 1 (Jan., 1998), pp. 3-20
Published by: National Council of Teachers of Mathematics
Stable URL: http://www.jstor.org/stable/749715
Page Count: 18
You can always find the topics here!Topics: Children, Educational research, Mathematics education, Addition, Learning, Mathematical problems, Grade 2, Inventions, Students, Learning procedures
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This 3-year longitudinal study investigated the development of 82 children's understanding of multidigit number concepts and operations in Grades 1-3. Students were individually interviewed 5 times on a variety of tasks involving base-ten number concepts and addition and subtraction problems. The study provides an existence proof that children can invent strategies for adding and subtracting and illustrates both what that invention affords and the role that different concepts may play in that invention. About 90% of the students used invented strategies. Students who used invented strategies before they learned standard algorithms demonstrated better knowledge of base-ten number concepts and were more successful in extending their knowledge to new situations than were students who initially learned standard algorithms.
Journal for Research in Mathematics Education © 1998 National Council of Teachers of Mathematics