#### Pregled bibliografske jedinice broj: 877711

## Asymptote as a body of knowledge to be taught in textbooks for Croatian secondary education

Asymptote as a body of knowledge to be taught in textbooks for Croatian secondary education

*// The 6th International Scientific Colloquium Mathematics and Children founded by Margita Pavleković, Program & Book of Abstracts*/ Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica ; Jukić-Matić, Ljerka (ur.).

Osijek: Element, 2017. str. 11-12 (predavanje, međunarodna recenzija, sažetak, znanstveni)

**Naslov**

Asymptote as a body of knowledge to be taught in textbooks for Croatian secondary education

**Autori**

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

**Vrsta, podvrsta i kategorija rada**

Sažeci sa skupova, sažetak, znanstveni

**Izvornik**

The 6th International Scientific Colloquium Mathematics and Children founded by Margita Pavleković, Program & Book of Abstracts
/ Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica ; Jukić-Matić, Ljerka - Osijek : Element, 2017, 11-12

**Skup**

The 6th International Scientific Colloquium Mathematics and Children founded by Margita Pavleković

**Mjesto i datum**

Osijek, Hrvatska, 26-27.05.2017.

**Vrsta sudjelovanja**

Predavanje

**Vrsta recenzije**

Međunarodna recenzija

**Ključne riječi**

Asymptote, asymptotic behaviour, ATD, praxeology, textbook analysis, general secondary mathematics education

**Sažetak**

Asymptote and asymptotic behaviour are bodies of knowledge present in elementary as well as in theoretical and applied mathematics. Some aspects of these concepts make a common part of upper secondary mathematics curricula worldwide. The notion of an asymptote appears as a theoretical concept, a part of a procedure or as a self-sufficient task in different contexts and different educational cycles of upper secondary mathematics education. In this paper, we present results of a textbook analysis on asymptote and asymptotic behaviour in two most common series of gymnasium mathematics textbooks in Croatia. It is a part of a larger comprehensive study regarding this body of knowledge in general upper secondary education in Croatia. The research is conducted within the theoretical framework of the Anthropological theory of the didactics (ATD), developed by a French mathematician Y. Chevallard. This framework provides praxeology[T, τ, θ, Θ] as a tool for describing mathematical knowledge and activities, with its practical component – a task T and a technique τ, and discursive or theoretical component – a technology θ and a theory Θ. The results show that the asymptote is a complex body of knowledge consisted of several praxeologies for which it is a part of practical or theoretical component. Hence, we present the related praxeological organization of considered textbooks along with its direct implications to mathematics teaching and learning.

**Izvorni jezik**

Engleski

**Znanstvena područja**

Matematika

**POVEZANOST RADA**

**Ustanove**

Prirodoslovno-matematički fakultet, Zagreb,

Fakultet za odgojne i obrazovane znanosti, Osijek

**Autor s matičnim brojem:**

Željka Milin-Šipuš, (129806)

Ana Katalenić, (317651)

Aleksandra Čižmešija, (176145)