In a study of learning processes in 24 eighth grade physics classrooms in Germany, data were collected in respect to cognitive variables (prior knowledge, learning outcomes, use of learning strategies), cognitive-emotional variables (self-concept, interest), as well as emotional variables (anxiety, boredom, sense of well-being). Both quantitative and qualitative methods were used. Interest and emotional factors are further differentiated into situation-related and habitual (most likely biographically determined) components. In constructing the teaching unit (basic electricity) a learning oriented knowledge acquisition phase was followed by a more achievement oriented practice phase. Analysis shows that positive emotions are more important in the acquisition phase than in the practice phase. Anxieties play an ambiguous role in the practice phase. Additionally, the results provide indications that joy about learning in particular, and also interest are frequently linked to successful learning processes, and not merely to the nature of the subject matter.

Since it was first published three decades ago, Excursions Into Mathematics has been one of the most popular mathematical books written for a general audience. Taking the reader for short excursions into several specific disciplines of mathematics, it makes mathematical concepts accessible to a wide audience. The Millennium Edition is updated with current research and new solutions to outstanding problems that have been discovered since the last edition was printed, such as the solution to the well-known four-color problem. Excursions Into Mathematics: The Millennium Edition is an exciting revision of the original, much-loved classic. Everyone with an interest in mathematics should read this book.