Gestures as semiotic resources in the mathematics classroom

Investigating the Mathematics Incorporated in the Real World as a Starting Point for Mathematics Classroom Activities

Department of Pure and Applied Mathematics, University of Padova, Italy In this report we present preliminary results of a study on the relationship between informal out-of-school and formal in-school mathematics and the ways each can inform the other in the development of new mathematical knowledge, in this case concerning computation in base 12, 24 or 60. This study is based on a teaching exp...

Mathematics. Cognitive supports for analogies in the mathematics classroom.

Classroom Notes in Applied Mathematics

In this paper it is shown by elementary methods that in codimension two and under the assumption that light rays are straight lines, a caustic is the catastrophe set for a timefunction. The general case is also discussed. 1980 AMS Mathematics subject classification 58C28

Experimental Mathematics and Proofs in the Classroom

Experimental mathematics is a serious branch of mathematics that starts gaining attention both in mathematics education and research. We give examples of using experimental techniques (not only) in the classroom. At first sight it seems that introducing experiments will weaken the formal rules and the abstractness of mathematics that are considered a valuable contribution to education as a whol...

Mistake-handling Activities in the Mathematics Classroom

The handling of mistakes in the mathematics classroom is an area in which only little research is done so far. In mathematics education there are, in fact, several investigations about students’ mistakes from a diagnostic perspective, but hardly any studies on the question how teachers react in concrete mathematics lessons. In this article theoretical aspects and results of different video stud...