Frank Feudel
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View article: Calculus in Economics – Important Features, Challenges, and Consequences
Calculus in Economics – Important Features, Challenges, and Consequences Open
Calculus plays an important role in economics, especially within economic theory. However, the way economists use calculus differs from how mathematicians understand and teach calculus. In this paper, we first present examples from micro- …
View article: How are differentials understood in economics? Conceptions identified in a textbook analysis
How are differentials understood in economics? Conceptions identified in a textbook analysis Open
Differentials are commonly used in economics. However—similarly to other concepts—the way differentials are taught in mathematics courses for economics students might not fit to how they are used in subjects of the students’ major discipli…
View article: Students’ ways of using video lectures in a linear algebra course
Students’ ways of using video lectures in a linear algebra course Open
Video lectures have become a common element in many university mathematics courses, and students often believe that these support their learning in various ways. However, some studies indicate that students who use such video lectures freq…
View article: Mathematics and other disciplines: Epistemological issues and their impact on teaching practices at tertiary level
Mathematics and other disciplines: Epistemological issues and their impact on teaching practices at tertiary level Open
International audience
View article: Students' understanding of the scalar product at the entry to university – Comparison of desirable and actual associations
Students' understanding of the scalar product at the entry to university – Comparison of desirable and actual associations Open
International audience
View article: Facilitating note-taking with guided notes – students’ preferences regarding positions for blanks and preprinted parts
Facilitating note-taking with guided notes – students’ preferences regarding positions for blanks and preprinted parts Open
In traditional mathematics lectures given on the board, students are often busy taking notes and have trouble listening to the instructor simultaneously. One approach to address this problem is the use of guided notes. These are parts of t…
View article: Development and implementation of Concept-Test questions in abstract algebra
Development and implementation of Concept-Test questions in abstract algebra Open
In tertiary mathematics courses, students often have difficulties acquiring an understanding of the mathematical concepts covered. One approach to address this problem is to implement so-called Concept-Tests. These are multiple-choice ques…
View article: Changes in Students’ Mathematical Competencies at the Beginning of Higher Education Within the Last Decade at a German University
Changes in Students’ Mathematical Competencies at the Beginning of Higher Education Within the Last Decade at a German University Open
Mathematics plays a significant role in many study programs. However, several studies show deficiencies and a decline in beginning undergraduates’ skills in mathematics in many content domains. However, it remains unclear whether they have…
View article: Students’ Strategic Usage of Formative Quizzes in an Undergraduate Course in Abstract Algebra
Students’ Strategic Usage of Formative Quizzes in an Undergraduate Course in Abstract Algebra Open
Besides homework assignments, optional quizzes are a commonly used means for formative assessment in tertiary mathematics education. Instructors, for example, implement these to help students detect gaps in their understanding, or to foste…
View article: Using a lecture-oriented flipped classroom in a proof-oriented advanced mathematics course
Using a lecture-oriented flipped classroom in a proof-oriented advanced mathematics course Open
In traditional advanced mathematics lectures the instructor usually provides definitions, theorems, and proofs on the board rather quickly. The students often cannot make sense of these during the lecture as they are busy writing. In order…
View article: Can Guided Notes Support Students’ Note-taking in Mathematics Lectures?
Can Guided Notes Support Students’ Note-taking in Mathematics Lectures? Open
In traditional mathematics lectures the instructor normally writes the definitions, theorems, and proofs covered on the board, and gives informal oral explanations that help to make sense of them. The students have to take notes. However, …
View article: Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics
Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics Open
The derivative concept plays a major role in economics. However, its use in economics is very heterogeneous, sometimes inconsistent, and contradicts students’ prior knowledge from school. This applies in particular to the common economic i…
View article: Supporting the use of study skills in large mathematics service courses to enhance students’ success – one example
Supporting the use of study skills in large mathematics service courses to enhance students’ success – one example Open
International audience
View article: Teaching study skills in mathematics service courses—how to cope with students’ refusal?
Teaching study skills in mathematics service courses—how to cope with students’ refusal? Open
Many freshmen entering university have difficulties with finishing their mathematics courses successfully in the first year due to insufficient study skills and learning strategies, which on the one hand include general skills and strategi…
View article: Relevant knowledge concerning the derivative concept for students of economics - A normative point of view and students' perspectives
Relevant knowledge concerning the derivative concept for students of economics - A normative point of view and students' perspectives Open
The concept of the derivative plays a major role in economics. A proper understanding of the concept and its application in economics is therefore important for students of economics. In this paper two perspectives on the relevant knowledg…