Τίτλος:
“There is One Geometry and in Each Case There is a Different Formula”: Students’ Conceptions and Strategies in an Attempt of Producing a Minkowskian Metric on Space-Time
Γλώσσες Τεκμηρίου:
Αγγλικά
Περίληψη:
In this paper, we analyze two episodes from an inquiry-based didactical research; the complete analysis of our research data is still ongoing. By taking into consideration various developments from the history of the geometry of space-time, our general aim is to explore high school students’ conceptions about measurement of length and time in relatively moving systems, and lead the students to reconsider these conceptions in an attempt of constructing a new metric for space-time. The episodes are extracted from long (focused) interviews with two couples of students, based on a carefully designed fictional scenario. Two main strategies have been identified and are analyzed in the paper: one of them relies on imagination and intuition; the other one makes use of preexisting school mathematical knowledge, in arriving to a simplified formula of a Minkowskian metric. © 2017, Springer Science+Business Media B.V.
Συγγραφείς:
Rizos, I.
Patronis, A.
Lappas, D.
Περιοδικό:
Engineering Science and Education Journal
Εκδότης:
SPRINGER NETHERLANDS
DOI:
10.1007/s11191-017-9915-1
