Naslov
Study of asymptotes in Calculus in mathematics textbooks for general upper secondary education in Croatia

Autori
Katalenić, Ana ; Čižmešija, Aleksandra ; Milin Šipuš, Željka

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
7th International Conference on the Anthropological Theory of the Didactic (CITAD7) / - Barcelona, 2022, 294-307

Skup
7th International Conference on the Anthropological Theory of the Didactic (CITAD7)

Mjesto i datum
Barcelona, Španjolska, 19.06.2022. - 23.06.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
asymptotes and asymptotic behaviour, limit of a function, textbook analysis, upper secondary education

Sažetak
Asymptotes in the upper secondary mathematics curriculum are related to graphs and limits of elementary functions. We analyzed fourth-grade mathematics textbooks for general upper secondary education in Croatia concerning the study of asymptotes in Calculus. Asymptotes occurred in several praxeologies confined to two units ; one related to function limit and the other to applying derivatives in function graphing. The study of asymptotes was organized around two didactic moments: the institutionalization of formulas and working on determining asymptotes. We propose exploring the asymptotic behaviour of a function to motivate the construction of formulas with a limit for the coefficients of slant asymptote and generalized asymptotic relations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti

POVEZANOST RADA