Preprint Article Version 1 NOT YET PEER-REVIEWED

Objectual Beliefs about Teaching Geometric Transformations with Geometer’s Sketchpad

Version 1 : Received: 26 July 2017 / Approved: 26 July 2017 / Online: 26 July 2017 (09:29:03 CEST)

How to cite: Belbase, S. Objectual Beliefs about Teaching Geometric Transformations with Geometer’s Sketchpad . Preprints 2017, 2017070077 (doi: 10.20944/preprints201707.0077.v1). Belbase, S. Objectual Beliefs about Teaching Geometric Transformations with Geometer’s Sketchpad . Preprints 2017, 2017070077 (doi: 10.20944/preprints201707.0077.v1).

Abstract

The purpose of this paper is to present pre-service secondary mathematics teachers’ objectual beliefs about Geometer's Sketchpad (GSP) for teaching geometric transformations (GTs). The participants of the study were two senior undergraduate pre-service secondary mathematics teachers at a public university in the United States of America. The study comprised series of ten task-based interviews, five with each participant. I conceptualized radical constructivist grounded theory (RCGT) with five assumptions to guide the research process outlining relationship between the researcher and participants, emergent process of data construction, analysis, and interpretation. The results include three in vivo categories concerning GSP as an object of teaching GTs. The categories were – interface between algebra and geometry, the semantics of GTs with GSP, and syntactic of GTs with GSP. I addressed pedagogical implications of these categories at the end.

Subject Areas

mathematics teachers’ beliefs; objectual beliefs; technology integration; radical constructivist grounded theory (RCGT); geometer’s sketchpad (GSP); syntactics of GTs with GSP; semantics of GTs with GSP

Readers' Comments and Ratings (1)

Comment 1
Received: 10 August 2017
Commenter: Shashidhar Belbase
The commenter has declared there is no conflict of interests.
Comment: Dear Reader,
Please send me your constructive feedback/comments on the article. It will help me to write better articles in the days to come.
+ Respond to this comment
Leave a public comment
Send a private comment to the author(s)
Rate this article
Views 0
Downloads 0
Comments 1
Metrics 0
Leave a public comment

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.