Using an inductive approach for definition making: Monotonicity and boundedness of sequences
The study investigated fourth–year students’ construction of the definitions of monotonicity and boundedness of sequences, at the Edgewood Campus of the University of KwaZulu –Natal in South Africa. Structured worksheets based on a guided problem solving teaching model w...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AOSIS
2009-09-01
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| Series: | Pythagoras |
| Subjects: | |
| Online Access: | https://pythagoras.org.za/index.php/pythagoras/article/view/40 |
| _version_ | 1818466392369790976 |
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| author | Deonarain Brijlall Aneshkumar Maharaj |
| author_facet | Deonarain Brijlall Aneshkumar Maharaj |
| author_sort | Deonarain Brijlall |
| collection | DOAJ |
| description | The study investigated fourth–year students’ construction of the definitions of monotonicity and boundedness of sequences, at the Edgewood Campus of the University of KwaZulu –Natal in South Africa. Structured worksheets based on a guided problem solving teaching model were used to help students to construct the twodefinitions. A group of twenty three undergraduateteacher trainees participated in the project. These students specialised in the teaching of mathematics in the Further Education and Training (FET) (Grades 10 to 12) school curriculum. This paper, specifically, reports on the investigation of students’ definition constructions based on a learnig theory within the context of advanced mathematical thinking and makes a contribution to an understanding of how these students constructed the two definitions. It was found that despite the intervention of a structured design, these definitions were partially or inadequately conceptualised by some students. |
| first_indexed | 2024-04-13T20:58:05Z |
| format | Article |
| id | doaj.art-6069f8dd96004e1aad397395821f6210 |
| institution | Directory Open Access Journal |
| issn | 1012-2346 2223-7895 |
| language | English |
| last_indexed | 2024-04-13T20:58:05Z |
| publishDate | 2009-09-01 |
| publisher | AOSIS |
| record_format | Article |
| series | Pythagoras |
| spelling | doaj.art-6069f8dd96004e1aad397395821f62102022-12-22T02:30:15ZengAOSISPythagoras1012-23462223-78952009-09-01070687910.4102/pythagoras.v0i70.4020Using an inductive approach for definition making: Monotonicity and boundedness of sequencesDeonarain Brijlall0Aneshkumar Maharaj1School of Science, Maths and Technology Education, University of KwaZulu‐NatalSchool of Mathematical Sciences, University of KwaZulu‐NatalThe study investigated fourth–year students’ construction of the definitions of monotonicity and boundedness of sequences, at the Edgewood Campus of the University of KwaZulu –Natal in South Africa. Structured worksheets based on a guided problem solving teaching model were used to help students to construct the twodefinitions. A group of twenty three undergraduateteacher trainees participated in the project. These students specialised in the teaching of mathematics in the Further Education and Training (FET) (Grades 10 to 12) school curriculum. This paper, specifically, reports on the investigation of students’ definition constructions based on a learnig theory within the context of advanced mathematical thinking and makes a contribution to an understanding of how these students constructed the two definitions. It was found that despite the intervention of a structured design, these definitions were partially or inadequately conceptualised by some students.https://pythagoras.org.za/index.php/pythagoras/article/view/40APOS theory |
| spellingShingle | Deonarain Brijlall Aneshkumar Maharaj Using an inductive approach for definition making: Monotonicity and boundedness of sequences Pythagoras APOS theory |
| title | Using an inductive approach for definition making: Monotonicity and boundedness of sequences |
| title_full | Using an inductive approach for definition making: Monotonicity and boundedness of sequences |
| title_fullStr | Using an inductive approach for definition making: Monotonicity and boundedness of sequences |
| title_full_unstemmed | Using an inductive approach for definition making: Monotonicity and boundedness of sequences |
| title_short | Using an inductive approach for definition making: Monotonicity and boundedness of sequences |
| title_sort | using an inductive approach for definition making monotonicity and boundedness of sequences |
| topic | APOS theory |
| url | https://pythagoras.org.za/index.php/pythagoras/article/view/40 |
| work_keys_str_mv | AT deonarainbrijlall usinganinductiveapproachfordefinitionmakingmonotonicityandboundednessofsequences AT aneshkumarmaharaj usinganinductiveapproachfordefinitionmakingmonotonicityandboundednessofsequences |