Record Details

Using an inductive approach for definition making: Monotonicity and boundedness of sequences

Pythagoras


 
 
Field Value
 
Title Using an inductive approach for definition making: Monotonicity and boundedness of sequences
 
Creator Brijlall, Deonarain; School of Science, Maths and Technology
Education, University of KwaZulu‐Natal Maharaj, Aneshkumar; School of Mathematical Sciences, University of KwaZulu‐Natal
 
Subject Mathematics Education; Mathematics; Education APOS theory;
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.
 
Publisher AOSIS Publishing
 
Contributor
Date 2009-09-01
 
Type — —
Format application/pdf
Identifier 10.4102/pythagoras.v0i70.40
 
Source Pythagoras; Issue 70 (2009); 68-79
 
Language en
 
Coverage — — —
Rights Copyright information Ownership of copyright in terms of the Work remains with the authors.The authors retain the non-exclusive right to do anything they wish with the Work, provided attribution is given to the place and detail of original publication, as set out in the official citation of the Work published in the journal. The retained right specifically includes the right to post the Work on the authors’ or their institutions’ websites or institutional repository.Publication and user license The authors grant the title owner and the publisher an irrevocable license and first right and perpetual subsequent right to (a) publish, reproduce, distribute, display and store the Work in  any form/medium, (b) to translate the Work into other languages, create adaptations, summaries or extracts of the Work or other derivative works based on the Work and exercise all of the rights set forth in (a) above in such translations, adaptations, summaries, extracts and derivative works, (c) to license others to do any or all of the above, and (d) to register the Digital Object Identifier (DOI) for the Definitive Work.The authors acknowledge and accept the user licence under which the Work will  be published as set out in http://creativecommons.org/licenses/by/2.5/za/legalcode (Creative Commons Attribution License South Africa)The undersigned warrant that they have the authority to license these publication rights and that no portion of the copyright to the Work has been assigned or licensed previously to any other party.Disclaimer: The publisher, editors and title owner accept no responsibility for any statement made or opinion expressed by any other person in this Work. Consequently, they will not be liable for any loss or damage sustained by any reader as a result of his or her action upon any statement or opinion in this Work. In cases where a manuscript is NOT accepted for publication by the editorial board, the portions of this agreement regarding the publishing licensing shall be null and void and the authors will be free to submit this manuscript to any other publication for first publication.Our copyright policies are author-friendly and protect the rights of our authors and publishing partners.