The Frame Game
In this article, the authors explore framing, a non-multiplicative technique commonly employed by students as they construct similar shapes. When students frame, they add (or subtract) a “border” of fixed width about a geometric object. Although the approach does not yield similar shapes in general,...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Columbia University Libraries
2011-12-01
|
| Series: | Journal of Mathematics Education at Teachers College |
| Online Access: | https://journals.library.columbia.edu/index.php/jmetc/article/view/719 |
| _version_ | 1818778458317127680 |
|---|---|
| author | Michael Todd Edwards Dana C. Cox |
| author_facet | Michael Todd Edwards Dana C. Cox |
| author_sort | Michael Todd Edwards |
| collection | DOAJ |
| description | In this article, the authors explore framing, a non-multiplicative technique commonly employed by students as they construct similar shapes. When students frame, they add (or subtract) a “border” of fixed width about a geometric object. Although the approach does not yield similar shapes in general, the mathematical underpinnings of framing are noteworthy. Using Interactive Geometry Software (IGS), teachers can explore mathematics behind the framing technique in greater depth while addressing student misconceptions and over- generalizations associated with the approach in classroom settings. |
| first_indexed | 2024-12-18T11:45:02Z |
| format | Article |
| id | doaj.art-acdb39b1dfa24b91964f435e72a8a44b |
| institution | Directory Open Access Journal |
| issn | 2156-1400 2156-1397 |
| language | English |
| last_indexed | 2024-12-18T11:45:02Z |
| publishDate | 2011-12-01 |
| publisher | Columbia University Libraries |
| record_format | Article |
| series | Journal of Mathematics Education at Teachers College |
| spelling | doaj.art-acdb39b1dfa24b91964f435e72a8a44b2022-12-21T21:09:18ZengColumbia University LibrariesJournal of Mathematics Education at Teachers College2156-14002156-13972011-12-012210.7916/jmetc.v2i2.719The Frame GameMichael Todd Edwards0Dana C. Cox1Miami University at Oxford, OhioMiami University at Oxford, OhioIn this article, the authors explore framing, a non-multiplicative technique commonly employed by students as they construct similar shapes. When students frame, they add (or subtract) a “border” of fixed width about a geometric object. Although the approach does not yield similar shapes in general, the mathematical underpinnings of framing are noteworthy. Using Interactive Geometry Software (IGS), teachers can explore mathematics behind the framing technique in greater depth while addressing student misconceptions and over- generalizations associated with the approach in classroom settings.https://journals.library.columbia.edu/index.php/jmetc/article/view/719 |
| spellingShingle | Michael Todd Edwards Dana C. Cox The Frame Game Journal of Mathematics Education at Teachers College |
| title | The Frame Game |
| title_full | The Frame Game |
| title_fullStr | The Frame Game |
| title_full_unstemmed | The Frame Game |
| title_short | The Frame Game |
| title_sort | frame game |
| url | https://journals.library.columbia.edu/index.php/jmetc/article/view/719 |
| work_keys_str_mv | AT michaeltoddedwards theframegame AT danaccox theframegame AT michaeltoddedwards framegame AT danaccox framegame |