Design Features and Types of Homework in Analysis I
Results of a Descriptive Study
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Beschreibung
Solving homework exercises shapes the daily routine of students in mathematics and mathematics-related subjects. However, little is known so far about the characteristics of tasks at the university level. To approach this issue, school and university mathematics were compared in their ideal-typical forms, and the functions of tasks in both institutions were described. Based on existing empirical studies on task characteristics in schools and universities, a comprehensive instrument was developed to capture the features of practice exercises (in Analysis I).
Using this instrument, the practice exercises from 24 different Analysis I lectures were quantitatively analyzed and compared. The results reveal considerable differences between the sets of exercises used by different instructors. In addition, a cluster analysis identified four distinct types of Analysis I exercises.
About the author
Felix Wlassak works as a lecturer for special assignments at Nordhausen University of Applied Sciences. His research focuses on the characteristics of exercises in higher mathematics and on how students engage with these tasks.
The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.
This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.
Solving homework exercises shapes the daily routine of students in mathematics and mathematics-related subjects. However, little is known so far about the characteristics of tasks at the university level. To approach this issue, school and university mathematics were compared in their ideal-typical forms, and the functions of tasks in both institutions were described. Based on existing empirical studies on task characteristics in schools and universities, a comprehensive instrument was developed to capture the features of practice exercises (in Analysis I).
Using this instrument, the practice exercises from 24 different Analysis I lectures were quantitatively analyzed and compared. The results reveal considerable differences between the sets of exercises used by different instructors. In addition, a cluster analysis identified four distinct types of Analysis I exercises.
General Mathematics and Education Academic Work Higher Education Mathematics
Autor*in
Felix Wlassak
Themen in »Design Features and Types of Homework in Analysis I«
Calculus I Lectures Mathematics-Intensive Subjects Characteristics of Exercises Types of Exercises Higher Education Mathematics