Using Cases as a Means to Discuss Errors in Mathematics Teacher Education
Errors are a major component of the pedagogical content knowledge (PCK) needed for teaching mathematics. In this study, 25 prospective teachers (PTs) in high schools were invited to solve a trigonometric task that had been assigned to high-school students and, subsequently, to relate to an authentic...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Education Sciences |
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| Online Access: | https://www.mdpi.com/2227-7102/11/10/575 |
| _version_ | 1797514828975177728 |
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| author | Ruthi Barkai |
| author_facet | Ruthi Barkai |
| author_sort | Ruthi Barkai |
| collection | DOAJ |
| description | Errors are a major component of the pedagogical content knowledge (PCK) needed for teaching mathematics. In this study, 25 prospective teachers (PTs) in high schools were invited to solve a trigonometric task that had been assigned to high-school students and, subsequently, to relate to an authentic solution containing mathematical errors, which was presented in a dialogue by a pair of students. While all PTs reached the final, correct solution, eight provided only one of the two results in one step of the solution. Almost all (23) PTs identified at least one of the students’ errors. The case raised issues regarding the steps that should be written in a solution and the role of drawings in mathematical problems. This article suggests that exposing PTs to authentic teaching cases provides opportunities to discuss subtle issues related to their own mathematical knowledge and to obstacles that their future students might encounter when solving such tasks. |
| first_indexed | 2024-03-10T06:37:06Z |
| format | Article |
| id | doaj.art-ebee8b3595204421a49b6b846cf0d440 |
| institution | Directory Open Access Journal |
| issn | 2227-7102 |
| language | English |
| last_indexed | 2024-03-10T06:37:06Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Education Sciences |
| spelling | doaj.art-ebee8b3595204421a49b6b846cf0d4402023-11-22T18:00:05ZengMDPI AGEducation Sciences2227-71022021-09-01111057510.3390/educsci11100575Using Cases as a Means to Discuss Errors in Mathematics Teacher EducationRuthi Barkai0Mathematics Education Department, Kibbutzim College of Education Technology and the Arts, Tel Aviv 6250769, IsraelErrors are a major component of the pedagogical content knowledge (PCK) needed for teaching mathematics. In this study, 25 prospective teachers (PTs) in high schools were invited to solve a trigonometric task that had been assigned to high-school students and, subsequently, to relate to an authentic solution containing mathematical errors, which was presented in a dialogue by a pair of students. While all PTs reached the final, correct solution, eight provided only one of the two results in one step of the solution. Almost all (23) PTs identified at least one of the students’ errors. The case raised issues regarding the steps that should be written in a solution and the role of drawings in mathematical problems. This article suggests that exposing PTs to authentic teaching cases provides opportunities to discuss subtle issues related to their own mathematical knowledge and to obstacles that their future students might encounter when solving such tasks.https://www.mdpi.com/2227-7102/11/10/575prospective teacherscasesusing errors in learning and teaching mathematics |
| spellingShingle | Ruthi Barkai Using Cases as a Means to Discuss Errors in Mathematics Teacher Education Education Sciences prospective teachers cases using errors in learning and teaching mathematics |
| title | Using Cases as a Means to Discuss Errors in Mathematics Teacher Education |
| title_full | Using Cases as a Means to Discuss Errors in Mathematics Teacher Education |
| title_fullStr | Using Cases as a Means to Discuss Errors in Mathematics Teacher Education |
| title_full_unstemmed | Using Cases as a Means to Discuss Errors in Mathematics Teacher Education |
| title_short | Using Cases as a Means to Discuss Errors in Mathematics Teacher Education |
| title_sort | using cases as a means to discuss errors in mathematics teacher education |
| topic | prospective teachers cases using errors in learning and teaching mathematics |
| url | https://www.mdpi.com/2227-7102/11/10/575 |
| work_keys_str_mv | AT ruthibarkai usingcasesasameanstodiscusserrorsinmathematicsteachereducation |