Exercises in mathematical imagining: setting out a teaching instrument that evokes imaginings and utilises visualisations in secondary school mathematics
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Autor:innen
Weber, Christof
Autor:in (Körperschaft)
Publikationsdatum
2014
Typ der Arbeit
Studiengang
Sammlung
Typ
04B - Beitrag Konferenzschrift
Herausgeber:innen
Herausgeber:in (Körperschaft)
Betreuer:in
Übergeordnetes Werk
Proceedings of the British Society for Research Into Learning Mathematics
Themenheft
DOI der Originalpublikation
Reihe / Serie
Reihennummer
Jahrgang / Band
34
Ausgabe / Nummer
1
Seiten / Dauer
125-130
Patentnummer
Verlag / Herausgebende Institution
Verlagsort / Veranstaltungsort
Auflage
Version
Programmiersprache
Abtretungsempfänger:in
Praxispartner:in/Auftraggeber:in
Zusammenfassung
This paper sets out a teaching instrument which could be referred to as ‘mental imagery exercises in mathematics’ or ‘exercises in mathematical visualisation’. Originally developed in the context of the teaching principles of the German-speaking countries, and then based on theories of the German mathematics education literature, the paper will reframe this task design and conclude that the term ‘exercises in mathemat- ical imagining’ is most appropriate. The fact that imagining—i.e. mentally forming and manipulating images—is personal means that this approach enables students to experience mathematics as commencing in their own minds. Teachers are also simultaneously able to gain insight into their students’ thought processes through this approach. In contrast with mental arithmetic, this task design does not focus on training a particular ability. Rather it promotes a specific heuristic strategy, within which students first conceive of and imagine a mathematical topic, and then construct and explore visualisations in order to understand their implications. This paper should be read as a case study of the researcher’s day-to-day teaching. It makes explicit a practice that has for many years produced positive results in terms of students developing mathematical understanding.
Schlagwörter
Mental Imagery, Imagining, Secondary School Mathematics
Fachgebiet (DDC)
370 - Erziehung, Schul- und Bildungswesen
510 - Mathematik
510 - Mathematik
Veranstaltung
Startdatum der Ausstellung
Enddatum der Ausstellung
Startdatum der Konferenz
Enddatum der Konferenz
Datum der letzten Prüfung
ISBN
ISSN
1463-6840
Sprache
Englisch
Während FHNW Zugehörigkeit erstellt
Ja
Publikationsstatus
Veröffentlicht
Begutachtung
Fachlektorat/Editorial Review
Open Access-Status
Lizenz
Zitation
WEBER, Christof, 2014. Exercises in mathematical imagining: setting out a teaching instrument that evokes imaginings and utilises visualisations in secondary school mathematics. In: Proceedings of the British Society for Research Into Learning Mathematics. 2014. S. 125–130. Verfügbar unter: http://hdl.handle.net/11654/27724