Teaching the limits of functions using The Theory of Didactical Situations and Problem-Based Learning

Imad Abou-Hayt, Bettina Dahl, Camilla Østerberg Rump

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Abstrakt

The concept of limit plays a central role in the foundation of modern mathematical analysis. However, the concept itself plays a minor role in both upper secondary and undergraduate engineering education, leaving the students with many misconceptions about the concept, resulting in poor performance in calculus and calculus-based engineering courses. Most emphasis in teaching has been on how to calculate the limit instead of on understanding its definition. In this paper, we will use the frameworks of Brousseau’s theory of didactic situations (TDS) and Problem-Based Learning (PBL) to suggest a method to teach engineering students the concept of limit and explain its formal definition. The purpose is to enable the students to generate a precise definition of limit of a function that captures the intended meaning of the conventional ε-δ definition. Moreover, we will argue that TDS bears many similarities with PBL, as both frameworks require that the students act and engage in non-routine and realistic problems.
OriginalsprogEngelsk
TitelProceedings of the 47th SEFI Annual Conference 2019
RedaktørerBalázs Vince Nagy, Mike Murphy, Hannu-Matti Järvinen, Anikó Kálmán
Antal sider12
ForlagSEFI: European Association for Engineering Education
Publikationsdato2019
Sider58-69
ISBN (Trykt)978-2-87352-018-2
ISBN (Elektronisk)978-2-87352-018-2
StatusUdgivet - 2019
BegivenhedSEFI Annual Conference: Complexity is the new Normality - Budapest, Ungarn
Varighed: 16 sep. 201920 sep. 2019
Konferencens nummer: 47

Konference

KonferenceSEFI Annual Conference
Nummer47
Land/OmrådeUngarn
ByBudapest
Periode16/09/201920/09/2019

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