{"id":74,"date":"2022-01-03T18:54:00","date_gmt":"2022-01-03T17:54:00","guid":{"rendered":""},"modified":"2023-08-04T23:11:54","modified_gmt":"2023-08-04T21:11:54","slug":"o-malej-nasobilke","status":"publish","type":"post","link":"https:\/\/www.jankafialka.sk\/?p=74","title":{"rendered":"O malej n\u00e1sobilke"},"content":{"rendered":"\n<p>Ke\u010f som rozm\u00fd\u0161\u013eala, ak\u00fa t\u00e9mu zvoli\u0165 pre m\u00f4j prv\u00fd pr\u00edspevok, uva\u017eovala som o tom, pre\u010do vlastne chcem blogova\u0165. Jedn\u00fdm z mot\u00edvov je ur\u010dite populariz\u00e1cia matematiky. A tak za\u010dnem s t\u00e9mou, ktor\u00e1 je pravdepodobne prv\u00fdm stretnut\u00edm die\u0165a\u0165a s matematikou v negat\u00edvnom zmysle &#8211; o malej n\u00e1sobilke. Niekedy v tre\u0165om ro\u010dn\u00edku z\u00e1kladnej \u0161koly vyjde z \u00fast u\u010dite\u013ea hroziv\u00e1 veta: &#8220; Toto sa mus\u00edte nau\u010di\u0165 naspam\u00e4\u0165!&#8220; Na matematike tak\u00e9to nie\u010do nikdy dovtedy neodoznelo a dos\u0165 mo\u017eno ani nikdy potom neodoznie. A tak sa mnoh\u00ed u\u010ditelia, rodi\u010dia alebo deti opr\u00e1vnene p\u00fdtaj\u00fa, \u010di je nutn\u00e9 u\u010di\u0165 sa mal\u00fa n\u00e1sobilku spam\u00e4ti. Skr\u00e1tim to: nie je.<\/p>\n\n\n\n<p>To ale tro\u0161ku predbieham. Moje osobn\u00e9 stretnutia s malou n\u00e1sobilkou mo\u017eno rozdeli\u0165 do troch et\u00e1p.<\/p>\n\n\n\n<p>Pam\u00e4t\u00e1m sa, ako som sa n\u00e1sobilku u\u010dila ako mal\u00e9 diev\u010datko. Na memorovanie nem\u00e1m talent, tak\u017ee som sa sna\u017eila odvodi\u0165 si v\u00fdsledok u t\u00fdch pr\u00edkladov, kde som si e\u0161te nedok\u00e1zala hne\u010f spomen\u00fa\u0165 na v\u00fdsledok. Najdlh\u0161ie mi trvalo zapam\u00e4ta\u0165 si, \u017ee 7&#215;8 je 56. To som po\u010d\u00edtala bu\u010f ako 7&#215;7=49 a k tomu e\u0161te jedna sedmi\u010dka, alebo 8&#215;8=64 m\u00ednus jedna osmi\u010dka. N\u00e1sobky deviatky som sa spam\u00e4ti nikdy neu\u010dila. Doteraz mi v hlave prebleskne 7&#215;9 je 70-7. Tak\u00e9to zlep\u0161ovania som si oby\u010dajne vym\u00fd\u0161\u013eala u\u017e v tak mladom veku, na \u010do som zjavne n\u00e1le\u017eite hrd\u00e1 \ud83d\ude01.<\/p>\n\n\n\n<p>Moje druh\u00e9 stretnutie s malou n\u00e1sobilkou prebehlo na vysokej \u0161kole. V r\u00e1mci didaktiky som sa dozvedela aj o tak\u00fdch pr\u00edstupoch, kde sa mal\u00e1 n\u00e1sobilka naspam\u00e4\u0165 v\u00f4bec neu\u010d\u00ed. \u017diaci ju maj\u00fa v\u017edy poruke &#8211; ako \u0165ah\u00e1k alebo na ve\u013ekej tabuli v triede a prirodzene si jednotliv\u00e9 spoje zapam\u00e4taj\u00fa. Jasn\u00e9, ke\u010f nie\u010do opakujete ve\u013ea kr\u00e1t, tak si to zapam\u00e4t\u00e1te, aj keby ste nechceli.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"768\" src=\"https:\/\/www.jankafialka.sk\/wp-content\/uploads\/2022\/01\/98077579.jpg\" alt=\"\" class=\"wp-image-1969\" srcset=\"https:\/\/www.jankafialka.sk\/wp-content\/uploads\/2022\/01\/98077579.jpg 768w, https:\/\/www.jankafialka.sk\/wp-content\/uploads\/2022\/01\/98077579-300x300.jpg 300w, https:\/\/www.jankafialka.sk\/wp-content\/uploads\/2022\/01\/98077579-150x150.jpg 150w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<p>Napokon som sa s touto t\u00e9mou stretla aj ako rodi\u010d. M\u00f4j syn tie\u017e nedisponuje l\u00e1skou k memorovaniu. Jeho u\u010dite\u013eka je ale star\u00e1 \u0161kola, a tak po dlh\u0161\u00edch pr\u00edprav\u00e1ch za\u010dala aj ona vy\u017eadova\u0165 &#8222;sypanie v\u00fdsledkov ako z ruk\u00e1va&#8220;. Dovtedy sme doma vysk\u00fa\u0161ali v\u0161etky mo\u017en\u00e9 met\u00f3dy vypo\u010d\u00edtavania: n\u00e1sobky do trojky jednoducho s\u010d\u00edtavan\u00edm, \u0161tvorku ako dvakr\u00e1t dvojn\u00e1sobok, p\u00e4\u0165ka ako odpo\u010d\u00edtavanie 5,10,15,&#8230; Pri\u010dom na prstoch po\u010d\u00edta ko\u013eko n\u00e1sobok to je. Deviatka od\u010d\u00edtanim od desa\u0165n\u00e1sobka. Zost\u00e1va ale nieko\u013eko s\u00fa\u010dinov, kde odvodzovanie trv\u00e1 pridlho. A tu sa dost\u00e1vame k vychyt\u00e1vke, ktor\u00fa som na\u0161la kdesi na nete.<\/p>\n\n\n\n<p>N\u00e1sobenie na prstoch. Naozaj. Je to jednoduch\u00e9, r\u00fdchle, ale funguje to iba na n\u00e1sobky, kde s\u00fa oba \u010dinitele medzi 5 a 10. No, ale pr\u00e1ve tie predsa potrebujeme! Najlep\u0161ie to vysvetl\u00edm na pr\u00edklade. Na tom, ktor\u00fd mne osobne robil najv\u00e4\u010d\u0161ie probl\u00e9my.<\/p>\n\n\n\n<p>7&#215;8 Jedna ruka predstavuje sedmi\u010dku &#8211; vystr\u010d\u00edme dva prsty, druh\u00e1 osmi\u010dku &#8211; vystr\u010d\u00edme tri prsty. Spolu ukazujeme p\u00e4\u0165 prstov, tak\u017ee m\u00e1me 50. Skr\u010den\u00e9 prsty mus\u00edme navz\u00e1jom vyn\u00e1sobi\u0165. To je tri kr\u00e1t dva, \u010di\u017ee 6. Prid\u00e1me k tej p\u00e4\u0165desiatke a m\u00e1me v\u00fdsledok.&nbsp;<\/p>\n\n\n\n<p>Vyzer\u00e1 to ako k\u00fazlo. Tie\u017e som tomu neverila. Najprv ma napadlo, \u017ee mus\u00edm n\u00e1js\u0165 d\u00f4kaz. Aj som ho na\u0161la, ale \u00faprimne: dokazova\u0165 tak\u00fato vec cez p\u00edsmenk\u00e1 je tro\u0161ku zbyto\u010dn\u00e9. Ve\u010f po\u010det pr\u00edkladov, na ktor\u00e9 to m\u00e1 fungova\u0165, je tak mal\u00fd, \u017ee je r\u00fdchlej\u0161ie si to overi\u0165 na v\u0161etk\u00fdch mo\u017enostiach. Tak si to vysk\u00fa\u0161ajte, ak chcete. Syna som to nau\u010dila, a tak v \u0161kole tajne po\u010d\u00edta n\u00e1sobilku na prstoch. \ud83e\udd2b<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ke\u010f som rozm\u00fd\u0161\u013eala, ak\u00fa t\u00e9mu zvoli\u0165 pre m\u00f4j prv\u00fd pr\u00edspevok, uva\u017eovala som o tom, pre\u010do vlastne chcem blogova\u0165. Jedn\u00fdm z mot\u00edvov je ur\u010dite populariz\u00e1cia matematiky. A tak za\u010dnem s t\u00e9mou, ktor\u00e1 je pravdepodobne prv\u00fdm stretnut\u00edm die\u0165a\u0165a s matematikou v negat\u00edvnom zmysle &#8211; o malej n\u00e1sobilke. Niekedy v tre\u0165om ro\u010dn\u00edku z\u00e1kladnej \u0161koly vyjde z \u00fast u\u010dite\u013ea [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":1969,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[33,36,35],"class_list":["post-74","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nezaradene","tag-aritmetika","tag-mala-nasobilka","tag-nasobenie"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>O malej n\u00e1sobilke - jankafialka<\/title>\n<meta name=\"description\" content=\"O malej n\u00e1sobilke - osobn\u00e9 stretnutia s t\u00fdmto fenom\u00e9nom vo vyu\u010dovan\u00ed matematiky. Pre\u010do nie je nutn\u00e9 u\u010di\u0165 sa ju naspam\u00e4\u0165. 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