Title page for ETD etd-01202009-163129

Document Type Doctoral Thesis
Author Huntley, Belinda
Email 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
Advisor Name Title
Prof A F Harding Co-Supervisor
Prof J C Engelbrecht Supervisor
  • 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

In 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

  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
  00front.pdf 54.64 Kb 00:00:15 00:00:07 00:00:06 00:00:03 < 00:00:01
  01chapters1-2.pdf 366.89 Kb 00:01:41 00:00:52 00:00:45 00:00:22 00:00:01
  02chapter3.pdf 191.99 Kb 00:00:53 00:00:27 00:00:23 00:00:11 00:00:01
  03chapters4-5.pdf 720.07 Kb 00:03:20 00:01:42 00:01:30 00:00:45 00:00:03
  04chapter6.pdf 4.44 Mb 00:20:34 00:10:34 00:09:15 00:04:37 00:00:23
  05chapter7.pdf 289.95 Kb 00:01:20 00:00:41 00:00:36 00:00:18 00:00:01
  06back.pdf 772.90 Kb 00:03:34 00:01:50 00:01:36 00:00:48 00:00:04

Browse All Available ETDs by ( Author | Department )

If you have more questions or technical problems, please Contact UPeTD.