Research
The Value of Little Things, Math Learnings and Hyperconnected Looks
This personal account of my encounters with reading and writing in my professional development as mathematics teacher invites the reader to think about the possibilities of connecting with different forms of language manifestation. This article reviews concepts of free writing and the expressive and transactional functions of writing. It reflects on alternatives and instruments that can enhance different means of report, including communication in computer environments. The deep-reading construct introduces the importance of hyperconnected registers. This hyperconnection involves creative production via networked digital technologies and does not consider writing as the form of most outstanding cognitive value or centrality.
Dynamics of Triangle Similarity: Exploring Similitude Ratios through Interactive Sliding Controls
Similarity is crucial in mathematics and other fields. It relates to different curricular mathematics content, for instance, proportionality, measures, and shapes. This article discusses the interactions of prospective teachers when performing similarity tasks in a multiuser, online, virtual, and synchronous environment with Geo Gebra, the VMTwG. The analyzed task focused on the similarity ratio from a slider. The focus here is to illustrate how the subjects interact when dragging free points of two triangles created with dependence on each other and using a checkered mesh. Data production came from registers written and Geo Gebra screen construction by participants and VMT replayer. The use of the slider may represent a more potent form of thought process, which implies both the global observation of geometric properties, the validation of conjectures and checking detailed results.
