The Sequences - in Teaching Mathematics

Abstract

<p>doktorskoj disertaciji prikazana je metodička obrada nastavne teme Nizovi. Ova tema se obrađuje u III razredu srednjih &scaron;kola, ali i na prvoj godini studija. Obarda pojma niza je uvod u vi&scaron;u matematiku, te njegovo izučavanje predstavlja prelazak sa elementarnog matematičkog mi&scaron;ljenja na napredno. Kombinovanjem metoda slike sa metodom definicije obrađene su sve nastavne jedinice u okviru ove nastavne teme sa ciljem da se učenicima olak&scaron;a izučavanje pojmova vi&scaron;e matematike. Urađena su istraživanja (testiranja) koja su s pomogla da se uoče problemi pri savadavanju ovih nastavnih sadržaja, ali i da pokažu rezultate primene nove metode.</p>

<p>Methodological aproach to the unit of Sequences is exposed in this PhD thesis. This unit is<br />done in 3rd year of high school, but in the 1st year of University as well. Teaching the notion of sequence is the introduction into the calculus, thus, its studying represents transition from elementary advanced mathematical thinking. It is suggested to teach within this topic by combining the concetpt inage and concept definition. This would make it easier for students to move to advanced mathematical thinking. Some tests are done to identify the problems in aquering these units, but also to show the results of the new teaching method.</p>