Expanding the numerical central conceptual structure : first graders' understanding of integers
Abstract/Contents
- Abstract
- In working with integers, students have difficulties that may extend into middle school and even adulthood. However, even young children can display insights into negative numbers well before receiving formal instruction. Using a pre-test, instruction, post-test design, this study explores how 61 first graders reason about negative number properties and operations and how their understanding changes depending on the instruction they receive. Results of the study indicate that children build on their existing whole number understanding to develop a central conceptual structure for integers. Furthermore, the process by which they extend their numerical central conceptual structure differs among students; their initial schemas, together with the form of the integer instruction, influence how they reason about and solve integer addition and subtraction problems. These results highlight the need to revisit the placement, duration, and content of integer instruction in curricula.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2011 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Bofferding, Laura Christine |
|---|---|
| Associated with | Stanford University, School of Education. |
| Primary advisor | Murata, Aki |
| Thesis advisor | Murata, Aki |
| Thesis advisor | Goldman, Shelley V |
| Thesis advisor | Okamoto, Yukari |
| Thesis advisor | Schwartz, Daniel L |
| Advisor | Goldman, Shelley V |
| Advisor | Okamoto, Yukari |
| Advisor | Schwartz, Daniel L |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Laura Christine Bofferding. |
|---|---|
| Note | Submitted to the School of Education. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2011. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2011 by Laura Christine Bofferding
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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