Quantitative reasoning,complexity, and additive structures |
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| Authors: | Patrick W Thompson |
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| Institution: | (1) Center for Research in Mathematics and Science Education, San Diego State University, 6475 Alvarado Road, Suite 206, 92120 San Diego, CA |
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| Abstract: | Six fifth-grade children participated in a four-day teaching experiment on complex additively-structured problems, which was followed by in-depth interviews of individual children. The teaching experiment was meant to investigate children's difficulties in holding in mind at once situations in which one or more items played multiple roles. Two important difficulties were identified: (1) distinguishing between  difference as the result of subtracting and difference as the amount by which one quantity exceeded another; and (2) indirect evaluation of an additive comparison. Sources of these difficulties, along with pedagogical and curricular recommendations for addressing them, are discussed.Research reported in this paper was supported by National Science Foundation Grants NO. MDR 89-50311 and 90-96275, and by a grant of equipment from Apple Computer, Inc., Office of External Research. Any conclusions or recommendations stated here are those of the author and do not necessarily reflect official positions of NSF or Apple Computer. |
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