Quantitative Reasoning, Complexity, and Additive Structures
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...
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| Veröffentlicht in: | Educational studies in mathematics 1993-09, Vol.25 (3), p.165-208 |
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| container_end_page | 208 |
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| container_title | Educational studies in mathematics |
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| creator | Thompson, Patrick W. |
| description | 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. |
| doi_str_mv | 10.1007/BF01273861 |
| format | Article |
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| identifier | ISSN: 0013-1954 |
| ispartof | Educational studies in mathematics, 1993-09, Vol.25 (3), p.165-208 |
| issn | 0013-1954 1573-0816 |
| language | eng |
| recordid | cdi_crossref_primary_10_1007_BF01273861 |
| source | Jstor Complete Legacy; SpringerLink Journals; JSTOR Mathematics & Statistics |
| subjects | Abstract Reasoning Addition Algebra Arithmetic Basketball Children Cognitive Processes Diagrams Elementary School Students Grade 5 Intermediate Grades Interviews Mathematical problems Mathematics Education Mathematics Education Research Pencils Problem Solving Quantitative Thinking Reasoning Schemata (Cognition) Subtraction Toy marbles |
| title | Quantitative Reasoning, Complexity, and Additive Structures |
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