{"id":18995,"date":"2009-05-21T11:55:23","date_gmt":"2009-05-21T11:55:23","guid":{"rendered":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/"},"modified":"2022-10-26T08:12:40","modified_gmt":"2022-10-26T08:12:40","slug":"predmety-rigoroznej-skusky-ucitelstvo","status":"publish","type":"page","link":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/","title":{"rendered":"Predmety rigor\u00f3znej sk\u00fa\u0161ky – U\u010dite\u013estvo akademick\u00fdch predmetov"},"content":{"rendered":"

U\u010cITE\u013dSTVO V\u0160EOBECNOVZDEL\u00c1VAC\u00cdCH PREDMETOV<\/strong><\/p>\n

<\/p>\n

\u0160tudijn\u00e9 predmety s\u00fa rozdelen\u00e9 do skupiny povinn\u00fdch a volite\u013en\u00fdch predmetov. Uch\u00e1dza\u010d si vyberie dva \u0161tudijn\u00e9 predmety, z ktor\u00fdch jeden mus\u00ed by\u0165 zo skupiny povinn\u00fdch predmetov a jeden zo skupiny volite\u013en\u00fdch predmetov.<\/p>\n

Povinn\u00e9 predmety<\/strong><\/p>\n

Psychol\u00f3gia a pedagogick\u00e1 psychol\u00f3gia<\/strong><\/p>\n

Psychol\u00f3gia a prax. Psychologick\u00e9 aspekty \u013eudskej \u010dinnosti a ich rozbor. Pozn\u00e1vacie (kognit\u00edvne) procesy. Psychologick\u00e9 koncepcie osobnosti Typologick\u00e9 a faktorov\u00e9 koncepcie osobnosti, koncepcia \u010d\u0155t osobnosti. Motiv\u00e1cia. Zlo\u017eky motiva\u010dnej \u0161trukt\u00fary osobnosti. City, em\u00f3cie. Rysy osobnosti. Temperament a charakter . Mor\u00e1lna zrelos\u0165. Schopnosti . Inteligencia, Tvorivos\u0165. Psychoanal\u00fdza, individu\u00e1lna psychol\u00f3gia, behaviorizmus, humanistick\u00e1 psychol\u00f3gia, kon\u0161truktivizmus, narat\u00edvna psychol\u00f3gia a ich odraz v perspekt\u00edvach eduk\u00e1cie. Koncepcia tvorivo-humanistickej v\u00fdchovy. Interakcia u\u010dite\u013ea a \u017eiaka. Komunik\u00e1cia u\u010dite\u013e \u2013 \u017eiak. \u0160kolsk\u00e1 trieda ako \u0161peci\u00e1lna skupina. Soci\u00e1lny vplyv a \u0161kolsk\u00e1 trieda. Pozn\u00e1vanie soci\u00e1lnych vz\u0165ahov v \u0161kolskej triede. Dimenzie zdravej funk\u010dnej rodiny. Faktory ovplyv\u0148uj\u00face funk\u010dnos\u0165 rodiny. Stabiln\u00e9 a problematick\u00e9 partnersk\u00e9 vz\u0165ahy. Syndr\u00f3m t\u00fdran\u00e9ho zneu\u017e\u00edvan\u00e9ho a zanedb\u00e1van\u00e9ho die\u0165a\u0165a. Citov\u00e1 depriv\u00e1cia. Soci\u00e1lna a kognit\u00edvna depriv\u00e1cia. Syndr\u00f3m t\u00fdran\u00e9ho die\u0165a\u0165a. Syndr\u00f3m sexu\u00e1lne zneu\u017e\u00edvan\u00e9ho die\u0165a\u0165a. T\u00fdran\u00e1 a zneu\u017e\u00edvan\u00e1 \u017eena.\u00a0 \u0160kolsk\u00e1 ne\u00faspe\u0161nos\u0165.<\/p>\n

V\u0161eobecn\u00e1 pedagogika a didaktika<\/strong><\/p>\n

Pedagogika<\/u> \u2013 pojem a predmet pedagogiky, z\u00e1kladn\u00e9 pedagogick\u00e9 pojmy a kateg\u00f3rie.\u00a0\u00a0 Klasifik\u00e1cia pedagogick\u00fdch vied. Vznik pedagogiky ako vedy. S\u00fastava pedagogick\u00fdch vedn\u00fdch discipl\u00edn a ich charakteristika. V\u00fdznam pedagogiky, sf\u00e9ry vyu\u017eitia pedagogick\u00fdch vied. V\u00fdchova. Exog\u00e9nne a endog\u00e9nne \u010dinitele v\u00fdchovy. V\u0161eobecn\u00e9 \u010drty v\u00fdchovy. Pedag\u00f3g v eduka\u010dnom procese, zlo\u017eky osobnosti pedagogick\u00e9ho pracovn\u00edka, pedagogick\u00e1 profesia. Vychov\u00e1van\u00fd jedinec v eduka\u010dnom procese. Pr\u00edprava jedinca pre v\u00fdkon soci\u00e1lnych rol\u00ed. Proces v\u00fdchovy (modely a etapy). V\u00fdchovn\u00e9 ciele, klasifik\u00e1cia v\u00fdchovn\u00fdch cie\u013eov z h\u013eadiska v\u00fdchovn\u00e9ho zamerania. Funkcie v\u00fdchovy. Zlo\u017eky v\u00fdchovy. Met\u00f3dy v\u00fdchovy (charakteristika, faktory ovplyv\u0148uj\u00face v\u00fdber v\u00fdchovn\u00fdch met\u00f3d). Formy v\u00fdchovy. Humaniz\u00e1cia v\u00fdchovy a vzdel\u00e1vania.
Didaktika<\/u> \u2013 pojem a predmet didaktiky, z\u00e1kladn\u00e9 ot\u00e1zky didaktiky, s\u00fa\u010dasn\u00e9 v\u00fdchodisk\u00e1 didaktiky. Vznik didaktiky ako vedy. Vz\u0165ah v\u0161eobecnej didaktiky a predmetov\u00fdch didakt\u00edk. \u0160trukt\u00fara didaktickej vedy, jej vznik a v\u00fdvoj. Perspekt\u00edvy a probl\u00e9my rozvoja didaktiky. Druhy didakt\u00edk. V\u00fdznam didaktiky pre pr\u00e1cu u\u010dite\u013ea. Z\u00e1kladn\u00e9 probl\u00e9my didaktiky. Ciele \u0161kolskej eduk\u00e1cie, ich funkcia a klasifik\u00e1cia. Po\u017eiadavky na ciele vyu\u010dovacieho procesu. Hierarchia cie\u013eov. Taxon\u00f3mie cie\u013eov. Formul\u00e1cia konkr\u00e9tnych cie\u013eov vyu\u010dovania. Pr\u00e1ca u\u010dite\u013ea s cie\u013emi vyu\u010dovania. Obsah vzdel\u00e1vania. V\u00fdber obsahu vzdel\u00e1vania, didaktick\u00e1 klasifik\u00e1cia u\u010diva -z\u00e1kladn\u00e9 u\u010divo, roz\u0161iruj\u00face u\u010divo.\u00a0 Prvky a zlo\u017eky u\u010diva, vzdel\u00e1vacie \u0161tandardy, kurikulum. Z\u00e1kladn\u00e9 pedagogick\u00e9 dokumenty. Tematick\u00fd pl\u00e1n. U\u010debnica. Funkcie a \u0161truktur\u00e1lne zlo\u017eky u\u010debnice. Didaktick\u00e1 anal\u00fdza u\u010diva. Didaktick\u00e9 z\u00e1sady vyu\u010dovacieho procesu, historick\u00fd v\u00fdvoj, charakteristika. Vyu\u010dovacie met\u00f3dy. Klasifik\u00e1cia, funkcie a v\u00fdber vyu\u010dovac\u00edch met\u00f3d. Motiva\u010dn\u00e9 a fixa\u010dn\u00e9 vyu\u010dovacie met\u00f3dy. Charakteristika vybran\u00fdch expozi\u010dn\u00fdch vyu\u010dovac\u00edch met\u00f3d. S\u00fa\u010dasn\u00e9 koncepcie vyu\u010dovacieho procesu. Organiza\u010dn\u00e9 formy vyu\u010dovania. Klasifik\u00e1cia a charakteristika jednotliv\u00fdch organiza\u010dn\u00fdch foriem.\u00a0 Soci\u00e1lne formy pr\u00e1ce \u017eiakov. Vyu\u010dovacia hodina ako z\u00e1kladn\u00e1 organiza\u010dn\u00e1 forma, etapy vyu\u010dovacej hodiny, typy vyu\u010dovac\u00edch hod\u00edn. Hodnotenie v \u0161kolskej eduk\u00e1cii. Typy, funkcie a krit\u00e9ri\u00e1 hodnotenia. Didaktick\u00e9 testy ako n\u00e1stroj objektiviz\u00e1cie hodnotenia v\u00fdkonov \u017eiakov. Formy \u00faloh didaktick\u00fdch testov. Kon\u0161trukcia didaktick\u00fdch testov. Pl\u00e1novanie pr\u00e1ce u\u010dite\u013ea. Po\u017eiadavky na pl\u00e1novaciu \u010dinnos\u0165. P\u00edsomn\u00e1 pr\u00edprava u\u010dite\u013ea na vyu\u010dovanie.<\/p>\n

Literat\u00fara:<\/strong><\/p>\n

    \n
  1. Bajto\u0161, J.: Kapitoly zo v\u0161eobecnej didaktiky. Equilibria, Ko\u0161ice 2007.<\/li>\n
  2. Bajto\u0161, J.: Te\u00f3ria a prax didaktiky. \u017dU, \u017dilina 2003.<\/li>\n
  3. Bajto\u0161, J., Honz\u00edkov\u00e1, J., Orosov\u00e1, R.: U\u010debnica z\u00e1kladov pedagogiky. Equilibria, Ko\u0161ice 2008.<\/li>\n
  4. Bertrand, Y.: Soudob\u00e9 teorie vzel\u00e1v\u00e1n\u00ed. Port\u00e1l, Praha 1998.<\/li>\n
  5. \u010cernotov\u00e1,M. a kol.: Kapitoly z pedagogiky pre \u0161tudentov u\u010dite\u013estva. FHPV PU, Pre\u0161ov 1997.<\/li>\n
  6. Dargov\u00e1, J.: Tvoriv\u00e9 kompetencie u\u010dite\u013ea. Privat Press, Pre\u0161ov 2001.<\/li>\n
  7. Havran, J.: Pedagogika. Ko\u0161ice, PdF 1992.<\/li>\n
  8. Kyriacou, CH.: Kl\u00ed\u010dov\u00e9 dovednosti u\u010ditele. Port\u00e1l, Praha 1996.<\/li>\n
  9. Ma\u0148\u00e1k, J.: N\u00e1rys didaktiky. MU, Brno 1990.<\/li>\n
  10. Petersen W.H.: U\u010debnica v\u0161eobecnej didaktiky. SPN, Bratislava 1993.<\/li>\n
  11. Petl\u00e1k, E.: V\u0161eobecn\u00e1 didaktika. IRIS, Bratislava 1997.<\/li>\n
  12. Petty,G.: Modern\u00ed vyu\u010dov\u00e1n\u00ed. Port\u00e1l, Praha 1996.<\/li>\n
  13. Prucha, J.: Modern\u00ed pedagogika. Praha, Port\u00e1l 1997.<\/li>\n
  14. Skalkov\u00e1, J.: Obecn\u00e1 didaktika. ISV, Praha 1999.<\/li>\n
  15. \u0160vec, \u0160.: Z\u00e1kladn\u00e9 pojmy v pedagogike a andragogike. IRIS, Bratislava 1995.<\/li>\n
  16. Turek, I.: Zvy\u0161ovanie efekt\u00edvnosti vyu\u010dovania. MC, Bratislava 1997.<\/li>\n<\/ol>\n

    \u00a0<\/p>\n

    Volite\u013en\u00e9 predmety<\/strong><\/p>\n

    Didaktika biol\u00f3gie<\/strong><\/p>\n

    Ciele biologick\u00e9ho vzdel\u00e1vania. \u0160trukt\u00fara biologick\u00e9ho u\u010diva, anal\u00fdza u\u010diva pr\u00edrodopisu a biol\u00f3gie, zostavovanie pojmov\u00fdch m\u00e1p a formul\u00e1cia v\u00fdchovno-vzdel\u00e1vac\u00edch cie\u013eov vyu\u010dovac\u00edch jednotiek. R\u00e1mec EUR a f\u00e1zy vyu\u010dovacej hodiny. Vyu\u010dovacie strat\u00e9gie a met\u00f3dy na hodin\u00e1ch pr\u00edrodopisu a biol\u00f3gie. Pojmotvorn\u00fd proces vo vyu\u010dovan\u00ed pr\u00edrodopisu a biol\u00f3gie a jeho logika. Organiz\u00e1cia pr\u00e1ce \u017eiakov. Probl\u00e9mov\u00e9 vyu\u010dovanie a ot\u00e1zky vy\u0161\u0161ieho r\u00e1du. V\u00fdznam reflexie. Overovanie biologick\u00fdch vedomost\u00ed a zru\u010dnost\u00ed. Hodnotenie a klasifik\u00e1cia. V\u00fdchovn\u00e9 aspekty biologick\u00e9ho vzdel\u00e1vania, v\u00fdchova ku kritick\u00e9mu mysleniu. Materi\u00e1lne prostriedky vyu\u010dovania biol\u00f3gie. Inov\u00e1cia obsahu a foriem vyu\u010dovania, nov\u00e9 informa\u010dn\u00e9 a komunika\u010dn\u00e9 technol\u00f3gie v biologickom vzdel\u00e1van\u00ed. Z\u00e1sady tvorby u\u010debnice a metodick\u00fdch materi\u00e1lov pre vyu\u010dovanie biol\u00f3gie. \u0160kolsk\u00e1 z\u00e1hrada a k\u00fatik \u017eivej pr\u00edrody. Dejiny didaktiky biol\u00f3gie. R\u00f4zne koncepcie vyu\u010dovanie biol\u00f3gie v zahrani\u010d\u00ed. Fakultat\u00edvna \u010dinnos\u0165 v biologickom vzdel\u00e1van\u00ed. N\u00e1cvik zru\u010dnost\u00ed a pr\u00edprava na pedagogick\u00fa prax z aproba\u010dn\u00e9ho predmetu biol\u00f3gia.<\/p>\n

    Literat\u00fara:<\/strong><\/p>\n

      \n
    1. Dorko, J., Kim\u00e1kov\u00e1, K.: Z\u00e1klady didaktiky pr\u00edrodopisu a biol\u00f3gie, PF UPJ\u0160 1990.<\/li>\n
    2. Kim\u00e1kov\u00e1, K., Dunayov\u00e1, D., Luczyov\u00e1 P.: Inova\u010dn\u00e9 met\u00f3dy vyu\u010dovania pr\u00edrodopisu\u00a0a biol\u00f3gie, MC Pre\u0161ov, 2001.<\/li>\n
    3. \u0160vecov\u00e1, M.: Teorie a praxe za\u0159azen\u00ed \u0161koln\u00edch projekt\u016f ve v\u00fduce p\u0159\u00edrodopisu a\u00a0 biologie, Karolinum Praha 2001.<\/li>\n
    4. Platn\u00e9 u\u010debnice pr\u00edrodopisu a biol\u00f3gie pre z\u00e1kladn\u00e9 a stredn\u00e9 \u0161koly.\u00a0<\/li>\n<\/ol>\n

      Didaktika fyziky<\/strong><\/p>\n

      Fyzik\u00e1lne poznanie.<\/strong> \u0160pecifick\u00e9 a stavov\u00e9 vlastnosti fyzik\u00e1lnych objektov. Pr\u00ed\u010dinn\u00e1 s\u00favislos\u0165 vo vyu\u010dovan\u00ed fyziky – pr\u00edklady. Fyzik\u00e1lna z\u00e1vislos\u0165. Formul\u00e1cia fyzik\u00e1lnych z\u00e1vislost\u00ed. Fyzik\u00e1lne princ\u00edpy, z\u00e1kony, pravidl\u00e1. Fyzik\u00e1lne te\u00f3rie.
      Fyzik\u00e1lne pozn\u00e1vanie.<\/strong> Fyzik\u00e1lne pozn\u00e1vanie a jeho modelovanie v \u0161kolskej fyzike. Motiv\u00e1cia a \u00falohov\u00e1 situ\u00e1cia. Utv\u00e1ranie fyzik\u00e1lnych pojmov, veli\u010d\u00edn a ich jednotiek SI.\u00a0 Empirick\u00e9 a teoretick\u00e9 met\u00f3dy poznania. Didaktick\u00e9 modelovanie pozn\u00e1vania vo fyzike. Idealiz\u00e1cia objektov a procesov (hmotn\u00fd bod, tuh\u00e9 teleso, ide\u00e1lna kvapalina, ide\u00e1lny plyn, monofrekven\u010dn\u00e9 svetlo). Teoretick\u00e9 pozn\u00e1vacie postupy v \u0161kolskej fyzike (pr\u00edklady).
      Fyzik\u00e1lne \u00falohy a ich pozn\u00e1vacia funkcia.<\/strong> Sch\u00e9ma rie\u0161enia \u0161kolskej fyzik\u00e1lnej \u00falohy (na pr\u00edklade). Kvantitat\u00edvna a kvalitat\u00edvna \u00faloha. Neprobl\u00e9mov\u00e1 fyzik\u00e1lna \u00faloha – pr\u00edklady. Probl\u00e9mov\u00e9 fyzik\u00e1lne \u00falohy s dobre a s ne\u00faplne definovan\u00fdm probl\u00e9mom. Fyzik\u00e1lna \u00faloha typu \u010dierna skrinka.
      Grafick\u00e9 postupy vo vyu\u010dovan\u00ed fyziky.<\/strong> \u010ciarov\u00fd graf ako prostriedok komunika\u010dn\u00fd, n\u00e1zorn\u00fd, pozn\u00e1vac\u00ed a ako objekt pozn\u00e1vania. Fyzik\u00e1lne inform\u00e1cie z\u00edskan\u00e9 \u010diarov\u00fdm grafom. Grafick\u00e1 deriv\u00e1cia a integr\u00e1cia v \u0161kolskej fyzike.
      S\u00fa\u010dasn\u00e9 trendy vo vyu\u010dovan\u00ed fyziky.<\/strong> Kooperat\u00edvne vyu\u010dovanie, master learning, glob\u00e1lna v\u00fdchova. Videom a po\u010d\u00edta\u010dom podporovan\u00e9 vyu\u010dovanie fyziky. Video a po\u010d\u00edta\u010d ako\u00a0 didaktick\u00fd prostriedok – ich funkcie.
      Didaktick\u00e9 testy.<\/strong>\u00a0 Ako forma\u00a0 kontroly vyu\u010dovania fyziky. Vlastnosti didaktick\u00fdch testov, ich kon\u0161trukcia a vyhodnocovanie.<\/p>\n

      Literat\u00fara:<\/strong><\/p>\n

        \n
      1. Janovi\u010d, J. a kol., Didaktika fyziky, MFF UK Bratislava, 1990.<\/li>\n
      2. Mechlov\u00e1, E., Didaktika fyziky 2, PdF Ostrava, 1989.<\/li>\n
      3. Lapitka, M., Tvorba a pou\u017eitie didaktick\u00fdch testov, SPN Bratislava, 1990.<\/li>\n
      4. \u010casopisy: Technol\u00f3gia vzdel\u00e1vania,
        \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Matematika, fyzika, informatika ve \u0161kole,
        \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Matematika, informatika, fyzika,<\/li>\n<\/ol>\n

        Didaktika ch\u00e9mie<\/strong><\/p>\n

        Didaktick\u00fd syst\u00e9m v s\u00fa\u010dasnej \u0161kolskej koncepcii. Nov\u00e9 trendy v\u00fdu\u010dby ch\u00e9mie u n\u00e1s a v zahrani\u010d\u00ed. Ch\u00e9mia ka\u017edodenn\u00e9ho \u017eivota. Environment\u00e1lne vzdel\u00e1vanie v ch\u00e9mii.\u00a0 V\u00fdznam a funkcia u\u010debn\u00fdch \u00faloh vo vyu\u010dovan\u00ed ch\u00e9mie. V\u00fdber a \u0161truktur\u00e1cia ch\u00e9mie. Prostriedky spr\u00edstup\u0148ovania u\u010diva ch\u00e9mie. Formy a met\u00f3dy v\u00fdu\u010dby ch\u00e9mie. V\u00fdpo\u010dtov\u00e1 technika vo v\u00fdu\u010dbe ch\u00e9mie. Chemick\u00e9 v\u00fdu\u010dbov\u00e9 programy. Internet vo v\u00fdu\u010dbe ch\u00e9mie. Didaktika u\u010diva periodick\u00e1 s\u00fastava prvkov. Koncepcia uvedenia PZ a PSP a ich optim\u00e1lne zaradenie do u\u010diva. Didaktick\u00fd syst\u00e9m u\u010diva anorganickej ch\u00e9mie a jeho rozvrhnutie do \u00farovne Z\u0160 a Gymn\u00e1zia. Didaktika organickej ch\u00e9mie. Ch\u00e9mia zl\u00fa\u010den\u00edn uhl\u00edka.<\/p>\n

        Literat\u00fara :<\/strong><\/p>\n

          \n
        1. Pachman E., Hofmann V.: Obecn\u00e1 didaktika ch\u00e9mie, SPN, Praha 1981.<\/li>\n
        2. Smik L. a kol.:\u00a0 \u0160peci\u00e1lna didaktika ch\u00e9mie. U\u010debn\u00fd text I.a II., UPJ\u0160 1984.<\/li>\n
        3. Pachman E. a kol.: Speci\u00e1ln\u00ed didaktika ch\u00e9mie, SPN, Praha 1986.<\/li>\n<\/ol>\n

          Didaktika informatiky <\/strong><\/p>\n

          Cie\u013e, obsah a didaktick\u00e9 prostriedky vyu\u010dovania \u0161kolskej informatiky. Pojmotvorn\u00fd proces v \u0161kolskej informatike. \u00davod do metodol\u00f3gie pedagogick\u00e9ho v\u00fdskumu v \u0161kolskej informatike. Stanovovanie u\u010debn\u00fdch cie\u013eov. Maturitn\u00fd \u0161tandard z informatiky. Postavenie \u00faloh v \u0161kolskej informatike, didaktick\u00e9 funkcie a formul\u00e1cie \u00faloh, tvorba syst\u00e9mov \u00faloh. Hodnotenie \u017eiackych v\u00fdkonov, didaktick\u00e9 testy. Tvorba didaktick\u00fdch projektov. V\u00fdu\u010dba \u0161trukt\u00farovan\u00e9ho a objektov\u00e9ho programovania. Aritmetika po\u010d\u00edta\u010da. Matematick\u00e9 modelovanie a simul\u00e1cie. V\u00fdu\u010dba tematick\u00fdch oblast\u00ed: Inform\u00e1cie okolo n\u00e1s, Po\u010d\u00edta\u010dov\u00e9 syst\u00e9my, Informa\u010dn\u00e1 spolo\u010dnos\u0165, Oblasti vyu\u017eitia informatiky (kancel\u00e1rsky bal\u00edk, Internet, multim\u00e9di\u00e1).<\/p>\n

          Literat\u00fara: <\/strong>Kala\u0161, I. a kol., Informatika pre stredn\u00e9 \u0161koly, SPN, Bratislava, 2001.<\/p>\n

          Didaktika matematiky<\/strong><\/p>\n

          Predstavy pojmu \u010d\u00edslo, vyu\u017eitie t\u00fdchto predst\u00e1v pri zaveden\u00ed pojmu zlomok. Didaktick\u00e9 postupy pri roz\u0161irovan\u00ed \u010d\u00edseln\u00fdch mno\u017e\u00edn. Fylogen\u00e9za a ontogen\u00e9za funk\u010dn\u00e9ho myslenia. Ontogen\u00e9za argument\u00e1cie. Zavedenie pojmu funkcia. Propedeutika deriv\u00e1cie a ur\u010dit\u00e9ho integr\u00e1lu. Pr\u00ednos Pytagorasa a Euklidesa k rozvoju matematiky. Metodika planimetrie. Obsah a metodika stereometrie. Propedeutika analytickej geometrie. Koncepcia vyu\u010dovania analytickej geometrie. Vyu\u010dovanie trigonometrie a goniometrie. Vyu\u010dovanie kombinatoriky, pravdepodobnosti a \u0161tatistiky.<\/p>\n

          Literat\u00fara: <\/strong><\/p>\n

            \n
          1. Hejn\u00fd a kol., Te\u00f3ria vyu\u010dovania matematiky 2, SPN 1989.<\/li>\n<\/ol>\n

            \u00a0\u00a0\u00a0\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"

            U\u010cITE\u013dSTVO V\u0160EOBECNOVZDEL\u00c1VAC\u00cdCH PREDMETOV \u0160tudijn\u00e9 predmety s\u00fa rozdelen\u00e9 do skupiny povinn\u00fdch a volite\u013en\u00fdch predmetov. Uch\u00e1dza\u010d si vyberie dva \u0161tudijn\u00e9 predmety, z ktor\u00fdch jeden mus\u00ed by\u0165 zo skupiny povinn\u00fdch predmetov a jeden zo skupiny volite\u013en\u00fdch predmetov. Povinn\u00e9 predmety Psychol\u00f3gia a pedagogick\u00e1 psychol\u00f3gia Psychol\u00f3gia a prax. Psychologick\u00e9 aspekty \u013eudskej \u010dinnosti a ich rozbor. Pozn\u00e1vacie (kognit\u00edvne) procesy. Psychologick\u00e9 koncepcie … \u010c\u00edta\u0165 \u010falej<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":17187,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}","footnotes":""},"class_list":["post-18995","page","type-page","status-publish","hentry"],"acf":{"acf_link_na_externy_obsah":""},"yoast_head":"\nPredmety rigor\u00f3znej sk\u00fa\u0161ky - U\u010dite\u013estvo akademick\u00fdch predmetov - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Predmety rigor\u00f3znej sk\u00fa\u0161ky - U\u010dite\u013estvo akademick\u00fdch predmetov - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\" \/>\n<meta property=\"og:description\" content=\"U\u010cITE\u013dSTVO V\u0160EOBECNOVZDEL\u00c1VAC\u00cdCH PREDMETOV \u0160tudijn\u00e9 predmety s\u00fa rozdelen\u00e9 do skupiny povinn\u00fdch a volite\u013en\u00fdch predmetov. Uch\u00e1dza\u010d si vyberie dva \u0161tudijn\u00e9 predmety, z ktor\u00fdch jeden mus\u00ed by\u0165 zo skupiny povinn\u00fdch predmetov a jeden zo skupiny volite\u013en\u00fdch predmetov. Povinn\u00e9 predmety Psychol\u00f3gia a pedagogick\u00e1 psychol\u00f3gia Psychol\u00f3gia a prax. Psychologick\u00e9 aspekty \u013eudskej \u010dinnosti a ich rozbor. Pozn\u00e1vacie (kognit\u00edvne) procesy. Psychologick\u00e9 koncepcie … \u010c\u00edta\u0165 \u010falej\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/\" \/>\n<meta property=\"og:site_name\" content=\"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\" \/>\n<meta property=\"article:modified_time\" content=\"2022-10-26T08:12:40+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Predpokladan\u00fd \u010das \u010d\u00edtania\" \/>\n\t<meta name=\"twitter:data1\" content=\"9 min\u00fat\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/\",\"url\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/\",\"name\":\"Predmety rigor\u00f3znej sk\u00fa\u0161ky - U\u010dite\u013estvo akademick\u00fdch predmetov - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\",\"isPartOf\":{\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#website\"},\"datePublished\":\"2009-05-21T11:55:23+00:00\",\"dateModified\":\"2022-10-26T08:12:40+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/#breadcrumb\"},\"inLanguage\":\"sk-SK\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"O \u0161t\u00fadiu na fakulte\",\"item\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"\u010eal\u0161ie vzdel\u00e1vanie\",\"item\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/?page_id=17187\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Predmety rigor\u00f3znej sk\u00fa\u0161ky – U\u010dite\u013estvo akademick\u00fdch predmetov\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#website\",\"url\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/\",\"name\":\"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"sk-SK\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#organization\",\"name\":\"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\",\"url\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"sk-SK\",\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.upjs.sk\/app\/uploads\/sites\/10\/2022\/09\/logo-prirodovedecka-fakulta.png\",\"contentUrl\":\"https:\/\/www.upjs.sk\/app\/uploads\/sites\/10\/2022\/09\/logo-prirodovedecka-fakulta.png\",\"width\":415,\"height\":87,\"caption\":\"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160\"},\"image\":{\"@id\":\"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#\/schema\/logo\/image\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Predmety rigor\u00f3znej sk\u00fa\u0161ky - U\u010dite\u013estvo akademick\u00fdch predmetov - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/","og_locale":"sk_SK","og_type":"article","og_title":"Predmety rigor\u00f3znej sk\u00fa\u0161ky - U\u010dite\u013estvo akademick\u00fdch predmetov - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160","og_description":"U\u010cITE\u013dSTVO V\u0160EOBECNOVZDEL\u00c1VAC\u00cdCH PREDMETOV \u0160tudijn\u00e9 predmety s\u00fa rozdelen\u00e9 do skupiny povinn\u00fdch a volite\u013en\u00fdch predmetov. Uch\u00e1dza\u010d si vyberie dva \u0161tudijn\u00e9 predmety, z ktor\u00fdch jeden mus\u00ed by\u0165 zo skupiny povinn\u00fdch predmetov a jeden zo skupiny volite\u013en\u00fdch predmetov. Povinn\u00e9 predmety Psychol\u00f3gia a pedagogick\u00e1 psychol\u00f3gia Psychol\u00f3gia a prax. Psychologick\u00e9 aspekty \u013eudskej \u010dinnosti a ich rozbor. Pozn\u00e1vacie (kognit\u00edvne) procesy. Psychologick\u00e9 koncepcie … \u010c\u00edta\u0165 \u010falej","og_url":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/","og_site_name":"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160","article_modified_time":"2022-10-26T08:12:40+00:00","twitter_card":"summary_large_image","twitter_misc":{"Predpokladan\u00fd \u010das \u010d\u00edtania":"9 min\u00fat"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/","url":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/","name":"Predmety rigor\u00f3znej sk\u00fa\u0161ky - U\u010dite\u013estvo akademick\u00fdch predmetov - Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160","isPartOf":{"@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#website"},"datePublished":"2009-05-21T11:55:23+00:00","dateModified":"2022-10-26T08:12:40+00:00","breadcrumb":{"@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/#breadcrumb"},"inLanguage":"sk-SK","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/dalsie-vzdelavanie\/predmety-rigoroznej-skusky-ucitelstvo\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/"},{"@type":"ListItem","position":2,"name":"O \u0161t\u00fadiu na fakulte","item":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/studium\/"},{"@type":"ListItem","position":3,"name":"\u010eal\u0161ie vzdel\u00e1vanie","item":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/?page_id=17187"},{"@type":"ListItem","position":4,"name":"Predmety rigor\u00f3znej sk\u00fa\u0161ky – U\u010dite\u013estvo akademick\u00fdch predmetov"}]},{"@type":"WebSite","@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#website","url":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/","name":"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160","description":"","publisher":{"@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"sk-SK"},{"@type":"Organization","@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#organization","name":"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160","url":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/","logo":{"@type":"ImageObject","inLanguage":"sk-SK","@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#\/schema\/logo\/image\/","url":"https:\/\/www.upjs.sk\/app\/uploads\/sites\/10\/2022\/09\/logo-prirodovedecka-fakulta.png","contentUrl":"https:\/\/www.upjs.sk\/app\/uploads\/sites\/10\/2022\/09\/logo-prirodovedecka-fakulta.png","width":415,"height":87,"caption":"Pr\u00edrodovedeck\u00e1 fakulta | UPJ\u0160"},"image":{"@id":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/pages\/18995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/comments?post=18995"}],"version-history":[{"count":1,"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/pages\/18995\/revisions"}],"predecessor-version":[{"id":19930,"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/pages\/18995\/revisions\/19930"}],"up":[{"embeddable":true,"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/pages\/17187"}],"wp:attachment":[{"href":"https:\/\/www.upjs.sk\/prirodovedecka-fakulta\/wp-json\/wp\/v2\/media?parent=18995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}