Relational Thinking : What's the Difference? / Ian Whitacre, Robert C. Schoen and Zachary Champagne.
How much is 41 - 39? How about 100 - 3? Which of those computations was easier for you to do? It so happens that first graders are much more likely to solve 100 - 3 correctly than 41 - 39. Likewise, second graders are much more likely to solve 100 - 3 correctly than 201 - 199. Our data (Schoen et al...
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| Online Access: |
https://files.eric.ed.gov/fulltext/ED575029.pdf |
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| Main Authors: | , , , |
| Format: | eBook |
| Language: | English |
| Published: |
[Place of publication not identified] :
Distributed by ERIC Clearinghouse,
2016.
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| Subjects: |
| Summary: | How much is 41 - 39? How about 100 - 3? Which of those computations was easier for you to do? It so happens that first graders are much more likely to solve 100 - 3 correctly than 41 - 39. Likewise, second graders are much more likely to solve 100 - 3 correctly than 201 - 199. Our data (Schoen et al. 2016) suggest that the latter problems are more difficult for students to solve correctly, because many students' understanding of subtraction is limited by thinking about the operation only as take-away or by using a default procedure, such as the standard subtraction algorithm in the United States. In this article, we argue the importance of students learning to reason flexibly about subtraction. We highlight a useful but often-ignored way of reasoning, and we offer suggestions for teaching about subtraction. [This paper was published in "Teaching Children Mathematics" (EJ1122656).] |
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| Item Description: | Sponsoring Agency: Institute of Education Sciences (ED). Contract Number: R305A120781. Abstractor: As Provided. Educational level discussed: Elementary Education. Educational level discussed: Grade 1. Educational level discussed: Primary Education. Educational level discussed: Early Childhood Education. Educational level discussed: Grade 2. |
| Physical Description: | 1 online resource (9 pages) |
| Access: | Access rights: Yes. |
| Type of Computer File or Data Note: | Text (Journal Articles) Text (Reports, Descriptive) |
| Preferred Citation of Described Materials Note: | Grantee Submission, Teaching Children Mathematics v23 n5 p303-309 Dec 2016-Jan 2017. |