. "Probl\u00E9mov\u00E9 vyu\u010Dov\u00E1n\u00ED v matematice \u2013 goniometrick\u00E9 funkce a geometrick\u00E1 p\u0159edstavivost"@cs . "162273" . . "neuvedeno" . "Problem Teaching of Mathematics \u2013 goniometric functions and geometric imagination"@en . "14410" . "RIV/00216224:14410/12:00064217!RIV13-MSM-14410___" . "Z(MSM0021622443)" . "Probl\u00E9mov\u00E9 vyu\u010Dov\u00E1n\u00ED v matematice \u2013 goniometrick\u00E9 funkce a geometrick\u00E1 p\u0159edstavivost"@cs . . "The chapter contains the results of the research of problem teaching which are closely connected with the possibility of research approach of students to solving a mathematical problem. The problem teaching of Mathematics considers very useful certain topics from Geometry which are closely connected with the possibility of research approach of students to solving mathematical problems. First, there is described the problem of finding different possibilities of solving a certain goniometric equation, in the second part the course of function y = a sin x + b cos x is found, first of all in general way, and then with concrete values of coefficients a, b. There is also shown the suitability of using the mathematical software. In the final part there are a few interesting tasks and problems of goniometric function application."@en . "Kapitola obsahuje z\u00E1v\u011Bry v\u00FDzkumu probl\u00E9mov\u00E9ho vyu\u010Dov\u00E1n\u00ED, \u00FAzce souvisej\u00EDc\u00ED s mo\u017Enostmi v\u00FDzkumn\u00E9ho p\u0159\u00EDstupu student\u016F p\u0159i \u0159e\u0161en\u00ED matematick\u00E9ho probl\u00E9mu. Pro probl\u00E9mov\u00E9 vyu\u010Dov\u00E1n\u00ED v matematice se jako velmi u\u017Eite\u010Dn\u00E1 jev\u00ED t\u00E9mata z geometrie, kter\u00E1 \u00FAzce souvisej\u00ED i s mo\u017Enostmi v\u00FDzkumn\u00E9ho p\u0159\u00EDstupu student\u016F p\u0159i \u0159e\u0161en\u00ED matematick\u00FDch probl\u00E9m\u016F. Nejprve je pops\u00E1n probl\u00E9m nalezen\u00ED r\u016Fzn\u00FDch mo\u017Enost\u00ED \u0159e\u0161en\u00ED jist\u00E9 goniometrick\u00E9 rovnice, v dal\u0161\u00ED \u010D\u00E1sti je nalezen pr\u016Fb\u011Bh funkce y = a sin x + b cos x , a to nejprve obecn\u011B a potom s konkr\u00E9tn\u00EDmi hodnotami koeficient\u016F a, b. Pouk\u00E1z\u00E1no je i na vhodnost vyu\u017Eit\u00ED v\u00FDpo\u010Detn\u00ED techniky. V z\u00E1v\u011Bru je obsa\u017Eeno n\u011Bkolik slo\u017Eit\u011Bj\u0161\u00EDch \u00FAloh na aplikaci goniometrick\u00FDch funkc\u00ED."@cs . "Brno" . "Goniometric function; goniometric equation; geometric imagination; problem teaching"@en . "1"^^ . . "9788021061446" . . . . "RIV/00216224:14410/12:00064217" . "1"^^ . . "19"^^ . . "[05B08645DC8D]" . "Probl\u00E9mov\u00E9 vyu\u010Dov\u00E1n\u00ED v matematice \u2013 goniometrick\u00E9 funkce a geometrick\u00E1 p\u0159edstavivost" . . . "Kapitola obsahuje z\u00E1v\u011Bry v\u00FDzkumu probl\u00E9mov\u00E9ho vyu\u010Dov\u00E1n\u00ED, \u00FAzce souvisej\u00EDc\u00ED s mo\u017Enostmi v\u00FDzkumn\u00E9ho p\u0159\u00EDstupu student\u016F p\u0159i \u0159e\u0161en\u00ED matematick\u00E9ho probl\u00E9mu. Pro probl\u00E9mov\u00E9 vyu\u010Dov\u00E1n\u00ED v matematice se jako velmi u\u017Eite\u010Dn\u00E1 jev\u00ED t\u00E9mata z geometrie, kter\u00E1 \u00FAzce souvisej\u00ED i s mo\u017Enostmi v\u00FDzkumn\u00E9ho p\u0159\u00EDstupu student\u016F p\u0159i \u0159e\u0161en\u00ED matematick\u00FDch probl\u00E9m\u016F. Nejprve je pops\u00E1n probl\u00E9m nalezen\u00ED r\u016Fzn\u00FDch mo\u017Enost\u00ED \u0159e\u0161en\u00ED jist\u00E9 goniometrick\u00E9 rovnice, v dal\u0161\u00ED \u010D\u00E1sti je nalezen pr\u016Fb\u011Bh funkce y = a sin x + b cos x , a to nejprve obecn\u011B a potom s konkr\u00E9tn\u00EDmi hodnotami koeficient\u016F a, b. Pouk\u00E1z\u00E1no je i na vhodnost vyu\u017Eit\u00ED v\u00FDpo\u010Detn\u00ED techniky. V z\u00E1v\u011Bru je obsa\u017Eeno n\u011Bkolik slo\u017Eit\u011Bj\u0161\u00EDch \u00FAloh na aplikaci goniometrick\u00FDch funkc\u00ED." . "Masarykova univerzita" . . . "Probl\u00E9mov\u00E9 vyu\u010Dov\u00E1n\u00ED v matematice \u2013 goniometrick\u00E9 funkce a geometrick\u00E1 p\u0159edstavivost" . "217"^^ . . . . "Motivace nadan\u00FDch \u017E\u00E1k\u016F a student\u016F v matematice a p\u0159\u00EDrodn\u00EDch v\u011Bd\u00E1ch" . "Ber\u00E1nek, Jaroslav" . . "Problem Teaching of Mathematics \u2013 goniometric functions and geometric imagination"@en .