Record Details

Taxonomy matters: Cognitive levels and types of mathematical activities in mathematics examinations

Pythagoras


 
 
Field Value
 
Title Taxonomy matters: Cognitive levels and types of mathematical activities in mathematics examinations
 
Creator Berger, Margot; Marang Centre for Mathematics and Science Education, University of the Witwatersrand Bowie, Lynn; Marang Centre for Mathematics and Science Education, University of the Witwatersrand Nyaumwe, Lovemore J.; Marang Centre for Mathematics and Science Education, University of the Witwatersrand
 
Subject Mathematics Education; Mathematics; Education taxonomy;
Description We argue that there are intrinsic difficulties in using the Subject Assessment Guidelines for Mathematics (SAGM) for evaluating the standard of a South African matriculation mathematics examination and for determining how it aligns with the curriculum. Our argument has two prongs. First, the SAGM taxonomy conflates cognitive level with type of mathematical activity; we contend that such a conflation leads to problems in assessing the complexity of the examination item. Second, the SAGM taxonomy provides no space for important mathematical activities such as justification and conjecturing despite the promotion of these activities in key curriculum documents (Department of Education, 2003). This absence may obscure weak alignment of the examination and the curriculum. These arguments are illustrated through examples taken from the 2008 Department of Education (DOE) and Independent Examination Board (IEB) Grade 12 Mathematics examination papers. We also examine other well‐known taxonomies in order to discern those aspects of a taxonomy which may be useful for evaluation and alignment. We conclude with the construction of a matrix that could provide an appropriate taxonomy for the South African matriculation Mathematics examination. It has activities on one axis and levels of complexity on the other.
 
Publisher AOSIS Publishing
 
Contributor
Date 2010-07-04
 
Type — —
Format application/pdf
Identifier 10.4102/pythagoras.v0i71.4
 
Source Pythagoras; Issue 71 (2010); 30-40
 
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.