Using GeoGebra to work with talented students

Mojca Pev
[email protected]
Osnovna šola Draga Bajca Vipava

Povzetek

V članku predstavljam primer uporabe programa za dinamično geometrijo. Reševanje konstrukcijsko in miselno bolj zahtevnih nalog na papirju se zdi učencem včasih suhoparno, zato sem se odločila, da jim bom matematiko približala na njim domač, interaktivni način. Pri delu sem poskušala čim bolj izkoristiti raziskovalne možnosti GeoGebre.
Primer, ki ga predstavljam, temelji na problemski situaciji. Reševali so ga nadarjeni učenci devetega razreda. Poleg že znanih funkcij smo odkrivali tudi simbolno računanje. Omenjena funkcija je v GeoGebri nova.
Naloga je zastavljena v smislu problemsko-raziskovalnega duha. Nadarjenim učencem omogoča razvijanje višjih taksonomskih znanj. Strategijo reševanja naloge pripravijo učenci pred pričetkom reševanja. S tem razvijajo kreativnost ter divergentnost. Rešitve nalog so za učence nove, saj se do znanj oziroma rešitev dokopljejo sami. Učitelj je pri tem le usmerjevalec.

Ključne besede: nadarjeni učenci, problemska znanja, problemski pouk, program dinamične geometrije, raziskovanje

Abstract

In my article I present one example of the use of a programme for dynamic geometry. Solving constructional and mentally more demanding tasks on paper sometimes seems boring to students. Therefore I decided to approach mathematics to my students in a way that is more familiar to them, in an interactive way.
At work I tried to utilize research possibilities of GeoGebra. The example presented in my article is based on problem situations. Some examples are intended for new functions offered by version 5.0.
Talented students from ninth grade solved  task. In addition to the already known, we discovered the symbolic mathematics which is new in GeoGebra.
The task is set in terms of problem-based research spirit. They enable talented students to develop higher taxonomic knowledge. Students prepare a strategy how to solve individual task before starting the task. In this way they develop creativity and divergence. They are the ones who find new solutions. A teacher is only a moderator.

Key words: talented students, problem knowledge, problem teaching, dynamic geometry programme, research