@phdthesis{Nguyen2012, author = {Nguyen, Danh Nam}, title = {Understanding the development of the proving process within a dynamic geometry environment}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-71754}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2012}, abstract = {Argumentation and proof have played a fundamental role in mathematics education in recent years. The author of this dissertation would like to investigate the development of the proving process within a dynamic geometry system in order to support tertiary students understanding the proving process. The strengths of this dynamic system stimulate students to formulate conjectures and produce arguments during the proving process. Through empirical research, we classified different levels of proving and proposed a methodological model for proving. This methodological model makes a contribution to improve students' levels of proving and develop their dynamic visual thinking. We used Toulmin model of argumentation as a theoretical model to analyze the relationship between argumentation and proof. This research also offers some possible explanation so as to why students have cognitive difficulties in constructing proofs and provides mathematics educators with a deeper understanding on the proving process within a dynamic geometry system.}, subject = {Argumentation}, language = {en} }