Blended Learning for Mathematic Calculus at University
Session
Education and Development
Description
Mathematics is a keystone in university education, especially in natural sciences, engineering, and economics. Almost all curricula in these areas start with mathematic calculus lectures in the first semesters. Lectures for mathematics seem to be a very classical subject with blackboard and chalk –but nowadays alternatives may be more efficient: electronic learning and blended learning. In blended learning, classical lectures may be mixed with computer learning environments; e-learning provides the full lecture – from presentation and explanation via exercising and testing in an electronic environment, mainly web-based. This contribution presents an e-learning environment for engineering mathematics education at universities, developed and implemented at TU Wien, (Technical University Vienna). The MMS/ TU Wien group has introduced courses on mathematics based on two main concepts, theoretical understanding and practical application – lecturing and exercising implemented in a web -based e-learning environment, and practicing and testing in this environment. The system is based on Maple TA with symbolic mathematic kernel) – suited for exercising and testing. The exercising and testing environment is extended by a presentation and explanation e -learning environment, using Moebius - an extension of Maple TA environment, which offers an integration of lecturing into the system. The MMS / TU Wien group is using this system in the lectures for Mathematics 1 and Mathematics 2 with success. The system consists of three parts each with teaching and learning at university, and learning at home: (i) the lecturers present module by module within this system - the students can repeat the modules at home any time; (ii) students exercise in this system guided by tutors - students can exercise at home within the system; and iii) the system provides tests and examinations during and at the end of the semester – students can test their knowledge for these tests and examinations at home via web.
Keywords:
E-learning, university mathematics, symbolic computation, mathematics e-learning
Session Chair
Claire Gordon
Session Co-Chair
Alisa Sadiku
Proceedings Editor
Edmond Hajrizi
ISBN
978-9951-437-69-1
Location
Pristina, Kosovo
Start Date
27-10-2018 9:00 AM
End Date
27-10-2018 10:30 AM
DOI
10.33107/ubt-ic.2018.118
Recommended Citation
Winkler, Stefanie; Körner, Andreas; Leskovar, Ruth; Tanzler, Johannes; and Breitnecker, Felix, "Blended Learning for Mathematic Calculus at University" (2018). UBT International Conference. 118.
https://knowledgecenter.ubt-uni.net/conference/2018/all-events/118
Blended Learning for Mathematic Calculus at University
Pristina, Kosovo
Mathematics is a keystone in university education, especially in natural sciences, engineering, and economics. Almost all curricula in these areas start with mathematic calculus lectures in the first semesters. Lectures for mathematics seem to be a very classical subject with blackboard and chalk –but nowadays alternatives may be more efficient: electronic learning and blended learning. In blended learning, classical lectures may be mixed with computer learning environments; e-learning provides the full lecture – from presentation and explanation via exercising and testing in an electronic environment, mainly web-based. This contribution presents an e-learning environment for engineering mathematics education at universities, developed and implemented at TU Wien, (Technical University Vienna). The MMS/ TU Wien group has introduced courses on mathematics based on two main concepts, theoretical understanding and practical application – lecturing and exercising implemented in a web -based e-learning environment, and practicing and testing in this environment. The system is based on Maple TA with symbolic mathematic kernel) – suited for exercising and testing. The exercising and testing environment is extended by a presentation and explanation e -learning environment, using Moebius - an extension of Maple TA environment, which offers an integration of lecturing into the system. The MMS / TU Wien group is using this system in the lectures for Mathematics 1 and Mathematics 2 with success. The system consists of three parts each with teaching and learning at university, and learning at home: (i) the lecturers present module by module within this system - the students can repeat the modules at home any time; (ii) students exercise in this system guided by tutors - students can exercise at home within the system; and iii) the system provides tests and examinations during and at the end of the semester – students can test their knowledge for these tests and examinations at home via web.