Computer Aided Assessment of Mathematics

Computer Aided Assessment of Mathematics book cover

Computer Aided Assessment of Mathematics

Author(s): Chris Sangwin (Author)

  • Publisher: OUP Oxford
  • Publication Date: 2 May 2013
  • Edition: Illustrated
  • Language: English
  • Print length: 200 pages
  • ISBN-10: 0199660352
  • ISBN-13: 9780199660353

Book Description

Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective.

One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning.

This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.

Editorial Reviews

Review


“In today’s world of statewide assessment, a vehicle that will allow for improvement in student achievement or efficient testing will be valuable for those who use such assessments. I would recommend this book to those who are considering designing such tests using STACK.” —
Todd O. Moyer, Mathematics Teacher


Review

It is a well written and well referenced text with attention to detail and practicalities … of value for professionals in mathematics education of all levels. ― Francis McGonigal, Mathematics Today

The detailed discussion of the nature of mathematics and its assessment, which is necessary to discuss the computer aided assessment of the subject, is interesting in itself and challenges even non-computer assessment users to consider how and why they assess their students…The author makes good use of historical references to enliven the text, and which also demonstrate the timelessness of many of the problems that users of such systems face today. ― Tim Lowe, Open University

Automatic computer-aided assessment in mathematics has the potential to enhance learning in a serious way…This book provides an important contribution here, and will help to improve assessment in mathematics in many ways. ― Mika Seppälä, Florida State University and University of Helsinki

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