The structuring of personal example spaces
This paper elaborates the notion of a personal example space as the set of mathematical objects and construction techniques that a learner has access to as examples of a concept while working on a given task. This is different from the conventional space of examples that is represented by the worked...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2011
|
| _version_ | 1797068749761675264 |
|---|---|
| author | Sinclair, N Watson, A Zazkis, R Mason, J |
| author_facet | Sinclair, N Watson, A Zazkis, R Mason, J |
| author_sort | Sinclair, N |
| collection | OXFORD |
| description | This paper elaborates the notion of a personal example space as the set of mathematical objects and construction techniques that a learner has access to as examples of a concept while working on a given task. This is different from the conventional space of examples that is represented by the worked examples and exercises in textbooks. We refer to three studies spanning the age range of learners, from school-age learners to pre-service teachers learning maths and professional mathematicians. Their constructions of examples are used as evidence of their personal example spaces. From these, we identify characteristics of such spaces that provide insight into learning mathematics. This perspective informs teaching by giving access to how personal knowledge is structured and what might enhance that structure. © 2011 Elsevier Inc. |
| first_indexed | 2024-03-06T22:14:36Z |
| format | Journal article |
| id | oxford-uuid:52f8ffad-efa1-479b-b32c-7ca12a4719fd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:14:36Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:52f8ffad-efa1-479b-b32c-7ca12a4719fd2022-03-26T16:28:42ZThe structuring of personal example spacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:52f8ffad-efa1-479b-b32c-7ca12a4719fdEnglishSymplectic Elements at Oxford2011Sinclair, NWatson, AZazkis, RMason, JThis paper elaborates the notion of a personal example space as the set of mathematical objects and construction techniques that a learner has access to as examples of a concept while working on a given task. This is different from the conventional space of examples that is represented by the worked examples and exercises in textbooks. We refer to three studies spanning the age range of learners, from school-age learners to pre-service teachers learning maths and professional mathematicians. Their constructions of examples are used as evidence of their personal example spaces. From these, we identify characteristics of such spaces that provide insight into learning mathematics. This perspective informs teaching by giving access to how personal knowledge is structured and what might enhance that structure. © 2011 Elsevier Inc. |
| spellingShingle | Sinclair, N Watson, A Zazkis, R Mason, J The structuring of personal example spaces |
| title | The structuring of personal example spaces |
| title_full | The structuring of personal example spaces |
| title_fullStr | The structuring of personal example spaces |
| title_full_unstemmed | The structuring of personal example spaces |
| title_short | The structuring of personal example spaces |
| title_sort | structuring of personal example spaces |
| work_keys_str_mv | AT sinclairn thestructuringofpersonalexamplespaces AT watsona thestructuringofpersonalexamplespaces AT zazkisr thestructuringofpersonalexamplespaces AT masonj thestructuringofpersonalexamplespaces AT sinclairn structuringofpersonalexamplespaces AT watsona structuringofpersonalexamplespaces AT zazkisr structuringofpersonalexamplespaces AT masonj structuringofpersonalexamplespaces |