High School Teachers’ Use of a Dynamic Geometry System to Formulate Conjectures and to Transit from Empirical to Geometric and Algebraic Arguments in Problem-Solving Approaches

Santos‐Trigo, Manuel; Camacho-Machín, Matías; Olvera-Martínez, Carmen

doi:10.1007/978-3-319-99861-9_4

Cited by 3 publications

(1 citation statement)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, mathematics teacher can compare the results of his/her research with those of similar ones, which showed that the participants recognized that the conjectures emerged from visualizing the behavior of objects when moving particular parameters and there was a need to justify or support those conjectures (Santos-Tiago et al, 2018).…”

Section: Teaching Perspectives and Suggestionsmentioning

confidence: 99%

Is there room for conjectures in mathematics? The role of dynamic geometry environments

Rizos

Gkrekas

2023

EUR J SCI MATH ED

View full text Add to dashboard Cite

Proof, as a central and integral part of mathematics, is an essential component of mathematical education and is considered as the basic procedure for revealing the truth of mathematical propositions and for teaching productive reasoning as part of human civilization. Is there therefore room for conjectures in mathematics? In this paper after discussing at a theoretical level the concepts of proof and conjecture, both in a paper-and-pencil environment and in a dynamic geometry environment (DGE) as well as how school practice affects them, we fully explain a task involving various mathematical disciplines, which we tackle using elementary mathematics, in a mathematics education context. On the occasion of the Greek educational system we refer to some parameters of the teaching of geometry in school and we propose an activity, within a DGE, that could enable students to be guided in the formulation and exploration of conjectures. Finally, we discuss the teaching implications of this activity and make some suggestions.

show abstract

Section: Teaching Perspectives and Suggestionsmentioning

confidence: 99%