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Computer Aided Assessment of Mathematics (Hardcover)
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Computer Aided Assessment of Mathematics (Hardcover)
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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 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.
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