Document Type Doctoral Thesis Author Huntley, Belinda belinda.huntley@wits.ac.za URN etd-01202009-163129 Document Title Comparing different assessment formats in undergraduate mathematics Degree PhD Department Mathematics and Applied Mathematics Supervisor

Advisor Name Title Prof A F Harding Co-Supervisor Prof J C Engelbrecht Supervisor Keywords

- constructed response questions
- provided response questions
- assessment components
- assessment taxonomies
- good mathematics questions
- Quality Index
- mathematics assessment
- multiple choice questions
Date 2008-09-03 Availability unrestricted AbstractIn this study, I investigate how successful provided response questions, such as multiple choice questions, are as an assessment format compared to the conventional constructed response questions. Based on the literature on mathematics assessment, I firstly identify an assessment taxonomy, consisting of seven mathematics assessment components, ordered by cognitive levels of difficulty and cognitive skills. I then develop a theoretical framework, for determining the quality of a question, with respect to three measuring criteria: discrimination index, confidence index and expert opinion. The theoretical framework forms the foundation against which I construct the Quality Index (QI) model for measuring how good a mathematics question is. The QI model gives a quantitative value to the quality of a question. I also give a visual representation of the quality of a question in terms of a radar plot. I illustrate the use of the QI model for quantifying the quality of mathematics questions in a particular undergraduate mathematics course, in both of the two assessment formats – provided response questions (PRQs) and constructed response questions (CRQs). I then determine which of the seven assessment components can best be assessed in the PRQ format and which can best be assessed in the CRQ format. In addition I also investigate student preferences between the two assessment formats.

©University of Pretoria 2008

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28.8 Modem 56K Modem ISDN (64 Kb) ISDN (128 Kb) Higher-speed Access 00front.pdf54.64 Kb 00:00:15 00:00:07 00:00:06 00:00:03 < 00:00:01 01chapters1-2.pdf366.89 Kb 00:01:41 00:00:52 00:00:45 00:00:22 00:00:01 02chapter3.pdf191.99 Kb 00:00:53 00:00:27 00:00:23 00:00:11 00:00:01 03chapters4-5.pdf720.07 Kb 00:03:20 00:01:42 00:01:30 00:00:45 00:00:03 04chapter6.pdf4.44 Mb 00:20:34 00:10:34 00:09:15 00:04:37 00:00:23 05chapter7.pdf289.95 Kb 00:01:20 00:00:41 00:00:36 00:00:18 00:00:01 06back.pdf772.90 Kb 00:03:34 00:01:50 00:01:36 00:00:48 00:00:04

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