Quadratic equations in Swedish textbooks for upper-secondary school
This paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the upper-secondary level in Sweden. The study applies the theoretical hypothetical learning trajectory (HLT) framework combining conceptual and procedural...
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| Format: | Article |
| Language: | English |
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LUMA Centre Finland
2021-06-01
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| Series: | LUMAT |
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| Online Access: | https://journals.helsinki.fi/lumat/article/view/1473 |
| _version_ | 1831652668953591808 |
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| author | Wang Wei Sönnerhed |
| author_facet | Wang Wei Sönnerhed |
| author_sort | Wang Wei Sönnerhed |
| collection | DOAJ |
| description | This paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the upper-secondary level in Sweden. The study applies the theoretical hypothetical learning trajectory (HLT) framework combining conceptual and procedural knowledge. The analysis includes horizontal and vertical dimensions within an HLT. The aim is to explore embedded HLTs and learning opportunities from both dimensions in these textbooks. A total of 250 examples and 1,068 tasks have been examined. Results show that all the textbooks contain algebra identities and four different methods for solving quadratic equations as well as their applications as a core hypothetical learning trajectory but differ in how an HLT starts and ends. Geometrical representations for some algebra identities and completing the square are widely used in both theoretical presentations and tasks, which implies that conceptual learning is encouraged among the Swedish textbooks. At the same time, procedural knowledge is still emphasized as a basic but important learning process. |
| first_indexed | 2024-12-19T15:51:42Z |
| format | Article |
| id | doaj.art-d9d114704f12471b87610a94002d4e9c |
| institution | Directory Open Access Journal |
| issn | 2323-7112 |
| language | English |
| last_indexed | 2024-12-19T15:51:42Z |
| publishDate | 2021-06-01 |
| publisher | LUMA Centre Finland |
| record_format | Article |
| series | LUMAT |
| spelling | doaj.art-d9d114704f12471b87610a94002d4e9c2022-12-21T20:15:12ZengLUMA Centre FinlandLUMAT2323-71122021-06-019110.31129/LUMAT.9.1.1473Quadratic equations in Swedish textbooks for upper-secondary schoolWang Wei Sönnerhed0Department of Education, Communication and Learning at University of Gothenburg, SwedenThis paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the upper-secondary level in Sweden. The study applies the theoretical hypothetical learning trajectory (HLT) framework combining conceptual and procedural knowledge. The analysis includes horizontal and vertical dimensions within an HLT. The aim is to explore embedded HLTs and learning opportunities from both dimensions in these textbooks. A total of 250 examples and 1,068 tasks have been examined. Results show that all the textbooks contain algebra identities and four different methods for solving quadratic equations as well as their applications as a core hypothetical learning trajectory but differ in how an HLT starts and ends. Geometrical representations for some algebra identities and completing the square are widely used in both theoretical presentations and tasks, which implies that conceptual learning is encouraged among the Swedish textbooks. At the same time, procedural knowledge is still emphasized as a basic but important learning process.https://journals.helsinki.fi/lumat/article/view/1473Algebrahypothetical learning trajectorytextbook analysisquadratic equationsvisual representations |
| spellingShingle | Wang Wei Sönnerhed Quadratic equations in Swedish textbooks for upper-secondary school LUMAT Algebra hypothetical learning trajectory textbook analysis quadratic equations visual representations |
| title | Quadratic equations in Swedish textbooks for upper-secondary school |
| title_full | Quadratic equations in Swedish textbooks for upper-secondary school |
| title_fullStr | Quadratic equations in Swedish textbooks for upper-secondary school |
| title_full_unstemmed | Quadratic equations in Swedish textbooks for upper-secondary school |
| title_short | Quadratic equations in Swedish textbooks for upper-secondary school |
| title_sort | quadratic equations in swedish textbooks for upper secondary school |
| topic | Algebra hypothetical learning trajectory textbook analysis quadratic equations visual representations |
| url | https://journals.helsinki.fi/lumat/article/view/1473 |
| work_keys_str_mv | AT wangweisonnerhed quadraticequationsinswedishtextbooksforuppersecondaryschool |