Teaching of trigonometry in Polish secondary school. An outline of the history

Krystyna Wuczynska. "Teaching of trigonometry in Polish secondary school. An outline of the history." Antiquitates Mathematicae 7 (2013): null. <http://eudml.org/doc/293148>.

@article{KrystynaWuczynska2013,
abstract = {Teaching of trigonometry in secondary school in Poland have been conducted within a definite period of time. Introduced by the Commission of National Education, it existed as an independent branch of mathematics taught at school until the reform of 1966. In this article the changing range and methods of trigonometry teaching based on school textbooks’ content are being discussed. Trigonometry appeared as a part of geometry showing ways of finding unknown elements of a triangle when three other elements are given (including at least one side). In the first half of the 19th century it was proved that the ratio of sides of a right-angled triangle are the functions of its angles – the trigonometrical functions. At the end of the century a general notion of a function was introduced in mathematics on the pattern of the trigonometrical functions. In the first half of the 20th century the notion of the function took the main place in all mathematics taught at school and an increase of significance of trigonometry was maximal. After the Second World War at first the modernized syllabus from 1932 was maintained. The biggest amount of hours in Polish schools (17%) was devoted to teaching of trigonometry. On the new syllabi from 1966 a traditional presentation of trigonometry is not found. Trigonometrical contents have been placed in different parts of school mathematics. This presented evolution of trigonometry teaching in Polish secondary school shows how, as an effect of long-standing, still improved tradition, an effective method of teaching of one branch of mathematics is being developed.},
author = {Krystyna Wuczynska},
journal = {Antiquitates Mathematicae},
keywords = {teaching mathematics, history of mathematics, trigonometry, goniometry, trigonometrical functions},
language = {eng},
pages = {null},
title = {Teaching of trigonometry in Polish secondary school. An outline of the history},
url = {http://eudml.org/doc/293148},
volume = {7},
year = {2013},
}

TY - JOUR
AU - Krystyna Wuczynska
TI - Teaching of trigonometry in Polish secondary school. An outline of the history
JO - Antiquitates Mathematicae
PY - 2013
VL - 7
SP - null
AB - Teaching of trigonometry in secondary school in Poland have been conducted within a definite period of time. Introduced by the Commission of National Education, it existed as an independent branch of mathematics taught at school until the reform of 1966. In this article the changing range and methods of trigonometry teaching based on school textbooks’ content are being discussed. Trigonometry appeared as a part of geometry showing ways of finding unknown elements of a triangle when three other elements are given (including at least one side). In the first half of the 19th century it was proved that the ratio of sides of a right-angled triangle are the functions of its angles – the trigonometrical functions. At the end of the century a general notion of a function was introduced in mathematics on the pattern of the trigonometrical functions. In the first half of the 20th century the notion of the function took the main place in all mathematics taught at school and an increase of significance of trigonometry was maximal. After the Second World War at first the modernized syllabus from 1932 was maintained. The biggest amount of hours in Polish schools (17%) was devoted to teaching of trigonometry. On the new syllabi from 1966 a traditional presentation of trigonometry is not found. Trigonometrical contents have been placed in different parts of school mathematics. This presented evolution of trigonometry teaching in Polish secondary school shows how, as an effect of long-standing, still improved tradition, an effective method of teaching of one branch of mathematics is being developed.
LA - eng
KW - teaching mathematics, history of mathematics, trigonometry, goniometry, trigonometrical functions
UR - http://eudml.org/doc/293148
ER -