Knowing, comprehending and applying the function concept is essential not only from the aspect of dealing with mathematics but with several scientific fields such as engineering. Since most mathematical notions cannot be acquired in one step (Vinner, 1983) the development of the function concept is a long process, either. One of the goals of the process is evolving an "ideal" concept image (the image is interrelated with the definition of the concept). Such concept image plays an important role in solving problems of engineering. This study reports on the beginning of a research aiming the scholastic forming of the students' function concept image i.e. on the experiences of a "pilot" study. By the experiment, we are looking for the answer of the following question: how can the analysis of such function relations be built into the studied period (8th grade) of the evolving process of the function concept that students meet in everyday life and also in engineering life?
Function is a basic concept of mathematics, in particular, mathematical analysis. After an analysis of the function concept development process, I propose a model of rule following and rule recognition skills development that combines features of the van Hiele levels and the levels of language about function [11]. Using this model I investigate students' rule following and rule recognition skills from the viewpoint of the preparation for the function concept of sixth grade students (12-13 years old) in the Ukrainian and Hungarian education system.
Az EFOP-3.6.1-16-2016-0002200022 „Debrecen Venture Catapult Program” keretében foglalkozást tartottunk középiskolás korosztálynak többek között abból a célból, hogy egy olyan matematikai fogalmat alakítsunk, mely nemcsak a természettudományok, hanem a műszaki tudományok művelésében is kiemelkedő fontossággal bír. Számos műszaki probléma megoldásához szükséges, hogy a tanulók birtokolják a függvényfogalom tartalmi jelentését, azaz olyan fogalomképzettel rendelkezzenek, mely kölcsönös kapcsolatban van annak definíciójával, továbbá tudjanak váltani a függvény különböző reprezentációi között. A kidolgozott foglalkozás a mindennapi életben, valamint a műszaki területeken is megjelenő kapcsolatok vizsgálatával alakítja a függvényfogalmat egyéni és kooperatív tanulási módszerrel.
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