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and helpful to promote the student learning. If no feedback were given, the students
might not be able to identify how or where they had gone wrong in the solution,
severely limiting the benefit they gain from using the system.
In this paper, we firstly describe our findings on the preferred approaches of current
undergraduate Engineering and Mathematics students to studying mathematical topics
outside of class time, including what resources they like to use, which highlights the
need for good quality on-line resources. We then describe our attempt to remedy the
situation via our CalculEng system, which provides a framework for structured
questions, allowing algebraic format input of answers by students. Through the use of a
Computer Algebra System, our tool allows the student's attempt at solution against both
the correct answer, and against expected "common mistake" answers. Appropriate
feedback can then be given according to whether the student's answer was correct,
included one or more anticipated "common errors", or did not follow an expected
pattern.
A limitation of the initial version of CalculEng was the requirement for questions,
correct answers and anticipated errors, with corresponding feedback responses, all to be
hand-coded in XML. However, more recently, we have developed an editing tool (as a
Java application) which enables the creation and editing of structured questions in a
straightforward and user-friendly way, such that the required XML is generated by the
application. This editing tool greatly simplifies the task of creating and editing
questions, and should make it easier for teachers to create and share their own
resources via CalculEng, hence increasing the range of topics covered and number of
practice problems available to students.
Pilot studies using our system for a small number of Calculus topics on a relative small
group of students have already been carried out, and we hope to extend both the range
of topic material covered and the variety of students to whom these are offered in the
near future.
The remainder of this paper is structured as follows. In the next section, we review
some of the related previous work on the use of computer-based educational
technology to enhance students’ learning of mathematics in Higher Education. In
section 3, we describe our study to investigate students’ views on how they prefer to
learn mathematics, and what type(s) of resources they like using to help them do so.
This study showed that modern students have a preference for web-based resources, but
(as noted above), there is a lack of the right type of on-line, freely-available practice
exercises which can be automatically marked whilst also giving the student user
constructive, meaningful feedback on their attempted solutions. In section 4, we
describe our attempt to address this via our CalculEng tutorial tool. We first outline the
development of the early version of CalculEng, noting its strengths and weaknesses,
before detailing how we have attempted to remove those weaknesses through a new
editing tool for structured questions and noting the current status of our system. Finally,
we present our conclusions and suggest future directions for this work.
2. Previous Related Work on Educational Technology for Mathematics
There have been many attempts to address the difficulties which many students face
when trying to learning mathematical topics. Since the 1960s and 70s, academics
teaching Mathematics to Engineering students investigated the potential of using
M.Davis etal. /Developing“Smart”TutorialTools toAssist
StudentsLearnCalculus228
Intelligent Environments 2019
Workshop Proceedings of the 15th International Conference on Intelligent Environments
- Title
- Intelligent Environments 2019
- Subtitle
- Workshop Proceedings of the 15th International Conference on Intelligent Environments
- Authors
- Andrés Muñoz
- Sofia Ouhbi
- Wolfgang Minker
- Loubna Echabbi
- Miguel Navarro-CĂa
- Publisher
- IOS Press BV
- Date
- 2019
- Language
- German
- License
- CC BY-NC 4.0
- ISBN
- 978-1-61499-983-6
- Size
- 16.0 x 24.0 cm
- Pages
- 416
- Category
- Tagungsbände