Understanding linear function with GeoGebra – challenge and opportunity for gifted students

Dušanka Colnar
[email protected]
OŠ Frana Kocbeka Gornji Grad

Miro Colnar
[email protected]
OŠ Frana Kocbeka Gornji Grad

Povzetek

Linearno funkcijo spoznajo učenci pri matematiki v 9. razredu. Pridobijo si temeljna znanja, ki jih pozneje nadgradijo, poglobijo in uporabijo pri drugih funkcijskih predpisih. Fleksibilni predmetnik omogoča drugačno organizacijo pouka. Zato sva lahko v prejšnjem šolskem letu izvedla blok uro za učence 3. nivojske skupine, v kateri so spoznali linearno funkcijo na način, ki je bil za njih nenavaden. Samostojno so raziskovali in odkrivali lastnosti linearne funkcije ter njenega grafa. Pri tem so uporabili program GeoGebra, ki se je izkazal za motivirajoč in učinkovit pripomoček. Dinamične in interaktivne slike so vplivale na boljšo predstavljivost matematičnih vsebin ter na hitrejše razumevanje odnosov med spremenljivkami. Hkrati sva omogočila pouk, ki je bil prilagojen vsakemu učencu glede na njegove specifične lastnosti in pri katerem so lahko zasledovali svoje različne raziskovalne ideje. Učenčevih aktivnosti nismo zaključili klasično s frontalnim poročanjem in povzetkom, ampak smo to izvedli z debato v stilu okrogle mize.

Ključne besede: linearna funkcija, graf, raziskovanje, GeoGebra, interaktivne geometrijske slike

Abstract

Linear function is a math term that students encounter in 9th grade. They acquire basic knowledge, which is later expanded with knowledge of other and generic functions. We attempted to present the problem of linear function to students in a rather uncommon way for primary schools.  Student explored the properties of linear function and its graph, with help of Geogebra. Our solution showed to be effective and positive. The lesson was more interesting and modern, with dynamic approach enabling a better understanding of math terms and much faster understanding of relations variables. Using this method we were able to tailor the lesson to each students’ needs according to their own strengths. Students were able to come up with their own ideas, test them and try to find reasons why their ideas are right or were proven wrong. Gifted students were able to approach the topic from a completely individualized perspective, compare notes and findings.
 
Keywords: linear function, GeoGebra, dynamic geometry, interactive geometric images