Computer Aided Assessment of Mathematics

Hardcover | August 4, 2013

byChris Sangwin

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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 automatesuch 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, orwhere 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.

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From the Publisher

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 automatesuch assessment, the relevant criteria must be...

Chris Sangwin is a Senior Lecturer in the School of Mathematics at the University of Birmingham in the United Kingdom. From 2000-2011 he was seconded half time to the UK Higher Education Academy "Maths Stats and OR Network" to promote learning and teaching of university mathematics. In 2006 he was awarded a National Teaching Fellowshi...

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Format:HardcoverDimensions:192 pages, 9.21 × 6.14 × 0.01 inPublished:August 4, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199660352

ISBN - 13:9780199660353

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Extra Content

Table of Contents

1. Introduction2. An Assessment Vignette3. Learning and Assessing Mathematics4. Mathematical Question Spaces5. Notation and Syntax6. Computer Algebra Systems for CAA7. The STACK CAA System8. Software Case Studies9. The Future

Editorial Reviews

"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 Seppala, Florida State University and University of Helsinki