{"id":612,"date":"2009-02-03T13:07:52","date_gmt":"2009-02-03T12:07:52","guid":{"rendered":"http:\/\/nns.cz\/blog\/?page_id=612"},"modified":"2009-10-04T22:13:15","modified_gmt":"2009-10-04T20:13:15","slug":"pomucky-v-rukou-zaku","status":"publish","type":"page","link":"https:\/\/www.nns.cz\/blog\/pomucky-v-rukou-zaku\/","title":{"rendered":"Pom\u016fcky v&nbsp;rukou \u017e\u00e1k\u016f &#8211; matematika"},"content":{"rendered":"<p>P\u0159ipravili: Zdena Roseck\u00e1 a&nbsp;Martin Jan\u00e1\u010dek<\/p>\n<p>P\u0159edstavujeme V\u00e1m n\u011bkter\u00e9 pom\u016fcky, kter\u00e9 m\u016f\u017eete b\u011b\u017en\u011b<strong> pou\u017e\u00edvat p\u0159i&nbsp;v\u00fduce matematiky z\u00e1rove\u0148 s&nbsp;u\u010debnicemi a&nbsp;pracovn\u00edmi se\u0161ity p\u0159ipraven\u00fdmi nakladatelstv\u00edm Nov\u00e1 \u0161kola.<\/strong><\/p>\n<p>Ne\u017e se budeme v\u011bnovat jednotliv\u00fdm pom\u016fck\u00e1m, tak v\u00e1s upozor\u0148ujeme na n\u011bkter\u00e9z\u00e1sady pro pou\u017eit\u00ed t\u011bchto pom\u016fcek ve vyu\u010dov\u00e1n\u00ed:<\/p>\n<ul>\n<li><strong>&#8222;\u010dinnostn\u00ed u\u010den\u00ed p\u0159edpokl\u00e1d\u00e1 jednoduch\u00e9 pom\u016fcky v&nbsp;rukou ka\u017ed\u00e9ho \u017e\u00e1ka&#8220;. <\/strong>\u017d\u00e1k l\u00e9pe vn\u00edm\u00e1, ch\u00e1pe a&nbsp;pamatuje si to, co s\u00e1m d\u011bl\u00e1, ne\u017e to co je mu p\u0159edv\u00e1d\u011bno demonstra\u010dn\u011b nebo d\u011bl\u00e1 jeho spolu\u017e\u00e1k.<\/li>\n<\/ul>\n<ul>\n<li><strong>&#8222;pom\u016fcky se ve vyu\u010dovac\u00edch hodin\u00e1ch vyu\u017e\u00edvaj\u00ed v\u017edy kr\u00e1tce a&nbsp;\u010dasto&#8220;<\/strong> (Kr\u00e1tce, to je 5 a\u017e 10 minut v&nbsp;jedn\u00e9 vyu\u010dovac\u00ed hodin\u011b. \u010casto, to je ka\u017ed\u00fd den, po&nbsp;dobu ne\u017e se pat\u0159i\u010dn\u00e1 dovednost d\u011btem v\u017eije. Po&nbsp;\u010dase je t\u0159eba se k&nbsp;vytvo\u0159en\u00e9 dovednosti vracet.)<\/li>\n<\/ul>\n<ul>\n<li><strong>&#8222;co d\u00edt\u011b dob\u0159e um\u00ed, to ho bav\u00ed&#8220;<\/strong>. Ve vhodn\u00e9 chv\u00edli je v\u0161ak t\u0159eba pom\u016fcku odlo\u017eit a&nbsp;na to je nutn\u00e9 d\u011bti p\u0159ipravit. U\u010ditel nap\u0159.&nbsp;sd\u011bl\u00ed \u017e\u00e1k\u016fm: V&nbsp;n\u00e1sleduj\u00edc\u00edch hodin\u00e1ch po\u010detn\u00ed divad\u00e9lko odlo\u017e\u00edme. U\u017e jsme si s&nbsp;n\u00edm dost pohr\u00e1li a&nbsp;budeme pou\u017e\u00edvat jinou pom\u016fcku.<\/li>\n<\/ul>\n<p>Kdy\u017e budete s&nbsp;\u017e\u00e1ky \u010dinnostn\u011b pracovat, pozn\u00e1te, \u017ee brzy ztrat\u00ed ostych, postupn\u011b budou v\u0161ichni \u010dinnosti prov\u00e1d\u011bt samostatn\u011b a&nbsp;spr\u00e1vn\u011b a&nbsp;nebudou se b\u00e1t o&nbsp;\u010dinnostech hovo\u0159it. Ka\u017ed\u00e1 t\u0159\u00edda se pak napln\u00ed pocitem uspokojen\u00ed a&nbsp;radosti v\u0161ech d\u011bt\u00ed, nebo\u0165 ka\u017ed\u00e9 d\u00edt\u011b m\u00e1 radost z&nbsp;\u00fasp\u011bchu a&nbsp;pochvaly.<\/p>\n<h2><strong>1. Po\u010detn\u00ed divad\u00e9lko<\/strong><\/h2>\n<p>Je vhodn\u00e9 pro p\u0159\u00edpravn\u00e9 obdob\u00ed v&nbsp;M 1.&nbsp;ro\u010dn\u00edku. Pom\u016f\u017ee snadno vytvo\u0159it prvn\u00ed po\u010detn\u00ed p\u0159edstavy v&nbsp;oboru do p\u011bti. Je to jednoduch\u00e1 a&nbsp;obl\u00edben\u00e1 pom\u016fcka \u017e\u00e1k\u016f. Vede nejen k&nbsp;udr\u017een\u00ed pozornosti a&nbsp;vytv\u00e1\u0159en\u00ed spr\u00e1vn\u00fdch po\u010detn\u00edch p\u0159edstav, ale i&nbsp;k&nbsp;individu\u00e1ln\u00edmu hovoru \u017e\u00e1k\u016f.<\/p>\n<p>Je t\u0159eba, aby pom\u016fcku m\u011bl ka\u017ed\u00fd \u017e\u00e1k. Divad\u00e9lko p\u0159ipravuj\u00ed pro prv\u0148\u00e1ky obvykle \u017e\u00e1ci vy\u0161\u0161\u00edch ro\u010dn\u00edk\u016f p\u0159i&nbsp;praktick\u00fdch \u010dinnostech nebo v\u00fdtvarn\u00e9 v\u00fdchov\u011b. V&nbsp;1.&nbsp;ro\u010dn\u00edku je divad\u00e9lko vyu\u017e\u00edv\u00e1no nejen k&nbsp;matematice, ale i&nbsp;p\u0159i&nbsp;prvouce nebo \u010dten\u00ed.<\/p>\n<p><strong><em>Nap\u0159\u00edklad:<\/em><\/strong><\/p>\n<p>\u017d\u00e1k: Na zahr\u00e1dce vykvetly 3 tulip\u00e1ny. (U\u010ditel vid\u00ed, zda v\u0161echny d\u011bti maj\u00ed spr\u00e1vnou p\u0159edstavu o&nbsp;po\u010dtu.)<\/p>\n<p>\u017d\u00e1k:  Jeden tulip\u00e1n jsem utrhl pro maminku. Kolik tulip\u00e1n\u016f kvete na zahr\u00e1dce? (U\u010ditel vid\u00ed, kte\u0159\u00ed \u017e\u00e1ci jeden tulip\u00e1n odebrali a&nbsp;dovedou spr\u00e1vn\u011b odpov\u011bd\u011bt.)<\/p>\n<p><strong><em>Uv\u011bdomte si:<\/em><\/strong><\/p>\n<ul>\n<li>\u017d\u00e1ci je\u0161t\u011b neznaj\u00ed \u010d\u00edslice, u\u010d\u00ed se vid\u011bt po\u010det v\u011bc\u00ed a&nbsp;z\u00e1rove\u0148 \u0159e\u0161\u00ed slovn\u00ed \u00falohy, ani\u017e znaj\u00ed po\u010detn\u00ed v\u00fdkony. \u010cinnostn\u00ed u\u010den\u00ed m\u00e1 p\u0159edu\u010dovac\u00ed charakter. Formou didaktick\u00e9 hry navod\u00edte pot\u0159ebn\u00e9 u\u010divo a&nbsp;vytvo\u0159\u00edte k&nbsp;n\u011bmu spr\u00e1vn\u00e9 p\u0159edstavy. Ty pak pom\u00e1haj\u00ed p\u0159i&nbsp;abstraktn\u00edm po\u010d\u00edt\u00e1n\u00ed s&nbsp;\u010d\u00edsly.<\/li>\n<li>\u017d\u00e1k l\u00e9pe vn\u00edm\u00e1, ch\u00e1pe a&nbsp;pamatuje si to, co s\u00e1m d\u011bl\u00e1, ne\u017e to co je mu p\u0159edv\u00e1d\u011bno demonstra\u010dn\u011b.<\/li>\n<\/ul>\n<p>Jak si pom\u016fcku p\u0159ipravit a&nbsp;podrobnosti o&nbsp;jej\u00edm pou\u017eit\u00ed naleznete v&nbsp;\u010dl\u00e1nku: <strong><a href=\"http:\/\/www.rvp.cz\/clanek\/6\/1109\" target=\"_blank\">Tvo\u0159iv\u00e1 \u0161kola &#8211; Po\u010detn\u00ed divad\u00e9lko<\/a><\/strong><\/p>\n<h2><strong>2. P\u0159\u00edpravn\u00e1 po\u010detn\u00ed cvi\u010den\u00ed<\/strong><\/h2>\n<p>Na hry s&nbsp;po\u010detn\u00edm divad\u00e9lkem navazuje pracovn\u00ed se\u0161it P\u0159\u00edpravn\u00e1 po\u010detn\u00ed cvi\u010den\u00ed &#8211; <a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=13\" target=\"_blank\">e-shop<\/a>. \u017d\u00e1k, podobn\u011b jako s&nbsp;divad\u00e9lkem, si hraje s&nbsp;obr\u00e1zky v&nbsp;pracovn\u00edm se\u0161it\u011b. Jedn\u00e1 se o&nbsp;se\u0161it pln\u00fd didaktick\u00fdch her k&nbsp;matematice 1.&nbsp;ro\u010dn\u00edku, ve kter\u00e9m \u017e\u00e1ci p\u0159ikl\u00e1daj\u00ed nebo dokresluj\u00ed obr\u00e1zky ovoce, zeleniny a&nbsp;\u0161i\u0161ek. D\u00e1le hovo\u0159\u00ed o&nbsp;vytvo\u0159en\u00fdch sestav\u00e1ch. Je zde p\u0159\u00edle\u017eitost pro \u0159adu obm\u011bn, vytv\u00e1\u0159en\u00ed ot\u00e1zek a&nbsp;odpov\u011bd\u00ed.<\/p>\n<p>Nap\u0159\u00edklad:<\/p>\n<ul>\n<li>Na stran\u011b 6 m\u016f\u017eete v\u0161em t\u0159em zaj\u00edc\u016fm p\u0159id\u00e1vat stejn\u00fd po\u010det mrkv\u00ed, kter\u00e9 si vyst\u0159ihnete p\u0159\u00edmo z&nbsp;pracovn\u00edho se\u0161itu. Nebo zajdovi p\u0159idat 3 mrkve a&nbsp;porovn\u00e1vat, kter\u00fd zaj\u00edc m\u00e1 te\u010f nejv\u00edce a&nbsp;kter\u00fd nejm\u00e9n\u011b.<\/li>\n<li>Na stran\u011b 10 m\u016f\u017eete na horn\u00ed v\u011btvi\u010dku p\u0159idat tolik \u0161i\u0161ek, aby jich bylo 5 a&nbsp;n\u00e1sledn\u011b nech\u00e1vat \u0161i\u0161ky z&nbsp;v\u011btve padat.<\/li>\n<li>Na stran\u011b 12 p\u0159id\u00e1v\u00e1te do misky vyst\u0159i\u017een\u00e1 vybarven\u00e1 jabl\u00ed\u010dka, potom si je d\u011bti z&nbsp;misek berou, jako kdyby jabl\u00ed\u010dka jedly nebo n\u011bkomu d\u00e1valy.<\/li>\n<\/ul>\n<p>V se\u0161it\u011b najdete didaktick\u00e9 hry i&nbsp;poh\u00e1dky pro po\u010detn\u00ed obor do 5, do 10 i&nbsp;do 20.<\/p>\n<p>Jak prov\u00e1d\u011bt dal\u0161\u00ed didaktick\u00e9 hry s&nbsp;pracovn\u00edm se\u0161item P\u0159\u00edpravn\u00e1 po\u010detn\u00ed cvi\u010den\u00ed najdete jak p\u0159\u00edmo v&nbsp;pracovn\u00edm se\u0161itu tak, je\u0161t\u011b podrobn\u011bji, v&nbsp;metodick\u00e9m pr\u016fvodci u\u010debnic\u00ed Matematika 1 pro 1.&nbsp;ro\u010dn\u00edk &#8211; <a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=13\" target=\"_blank\">e-shop<\/a>.<\/p>\n<h2><strong>3. Kostka s&nbsp;kole\u010dky<\/strong><\/h2>\n<p style=\"text-align: center;\"><a href=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a00-zluty.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-769\" title=\"a00-zluty\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a00-zluty.jpg\" alt=\"\" width=\"342\" height=\"198\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a00-zluty.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a00-zluty-200x115.jpg 200w\" sizes=\"auto, (max-width: 342px) 100vw, 342px\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">Takto vypad\u00e1 kostka s&nbsp;kole\u010dky p\u0159i&nbsp;zakoupen\u00ed. Velmi jednoduch\u00fdm zp\u016fsobem se d\u00e1 kostka slo\u017eit. (Obr\u00e1zek slo\u017een\u00e9 kostky viz bod B). (<a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=52\" target=\"_blank\">e-shop<\/a>)<\/p>\n<h3><em><strong>A) Vyu\u017eit\u00ed kole\u010dek<br \/>\n<\/strong><\/em><\/h3>\n<ul>\n<li><strong><em>\u010cinnosti, pomoc\u00ed kter\u00fdch se nacvi\u010duje vid\u011bn\u00ed po\u010dtu v\u011bc\u00ed do p\u011bti.<\/em><\/strong><\/li>\n<\/ul>\n<p>Pot\u0159ebujeme: 5 kole\u010dek a&nbsp;prou\u017eek tvrd\u00e9ho pap\u00edru<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-772\" title=\"a01\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a01.jpg\" alt=\"\" width=\"500\" height=\"76\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a01.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a01-200x30.jpg 200w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>\u017d\u00e1ci si navz\u00e1jem \u0159\u00edkaj\u00ed, kolik kole\u010dek cht\u011bj\u00ed vid\u011bt<\/p>\n<p>P\u0159.: Chci vid\u011bt 3 kole\u010dka<\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-794\" title=\"a02\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a02.jpg\" alt=\"\" width=\"390\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a02.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a02-200x35.jpg 200w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Pozd\u011bji podle pokyn\u016f n\u011bkter\u00e9ho \u017e\u00e1ka provedou zm\u011bn n\u011bkolik (\u017d\u00e1ci jezd\u00ed prou\u017ekem nad kole\u010dky.) a&nbsp;na povel stop prou\u017eek polo\u017e\u00ed a&nbsp; \u0159\u00edkaj\u00ed kolik kole\u010dek je pod prou\u017ekem.<\/p>\n<p>P\u0159.: Pod prou\u017ekem je jedno kole\u010dko<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-796\" title=\"a03\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a03.jpg\" alt=\"\" width=\"450\" height=\"86\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a03.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a03-200x38.jpg 200w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/p>\n<ul>\n<li><strong><em>\u010cinnosti, pomoc\u00ed kter\u00fdch se porovn\u00e1v\u00e1, kter\u00fdch kole\u010dek je v\u00edce nebo m\u00e9n\u011b.<\/em><\/strong><\/li>\n<\/ul>\n<p>P\u0159.: Kter\u00fdch kole\u010dek je v\u00edc, modr\u00fdch nebo \u010derven\u00fdch?<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-797\" title=\"a04\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a04.jpg\" alt=\"\" width=\"240\" height=\"109\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a04.jpg 300w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a04-200x90.jpg 200w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/p>\n<ul>\n<li><strong><em>\u010cinnosti, pomoc\u00ed kter\u00fdch se nacvi\u010duj\u00ed slovn\u00ed \u00falohy \u0159e\u0161en\u00e9 zpam\u011bti.<\/em><\/strong><\/li>\n<\/ul>\n<p>\u017d\u00e1ci sami tvo\u0159\u00ed slovn\u00ed \u00falohy o&nbsp;v\u011bcech, kter\u00e9 znaj\u00ed, manipuluj\u00ed p\u0159itom s&nbsp;kole\u010dky. Kole\u010dka maj\u00ed z\u00e1stupn\u00fd charakter, p\u0159edstavuj\u00ed to, co si \u017e\u00e1k vym\u00fd\u0161l\u00ed. Podle d\u011bje \u00falohy \u017e\u00e1ci pokl\u00e1daj\u00ed kole\u010dka na lavici a&nbsp;odpov\u00eddaj\u00ed na vytvo\u0159enou ot\u00e1zku.<\/p>\n<p>P\u0159.: U&nbsp;prodejny st\u00e1lo p\u011bt kol a&nbsp;na jednom z&nbsp;nich odjel Pep\u00edk. Kolik kol stoj\u00ed u&nbsp;prodejny te\u010f?<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-798\" title=\"a05\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a05.jpg\" alt=\"\" width=\"399\" height=\"90\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a05.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a05-200x44.jpg 200w\" sizes=\"auto, (max-width: 399px) 100vw, 399px\" \/><\/p>\n<p>P\u0159.: Na parkovi\u0161ti stoj\u00ed 2 \u010derven\u00e1 a&nbsp;3 modr\u00e1 auta. Kolik aut stoj\u00ed na parkovi\u0161ti?<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-799\" title=\"a06\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a06.jpg\" alt=\"\" width=\"300\" height=\"80\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a06.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a06-200x53.jpg 200w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\u017d\u00e1ci tak v&nbsp;r\u016fzn\u00fdch slovn\u00edch \u00faloh\u00e1ch maj\u00ed mo\u017enost rozli\u0161ovat slova jako p\u0159inesl &#8211; odnesl, p\u0159idal &#8211; ubral, dostal &#8211; dal, koupil &#8211; prodal, p\u0159ijel &#8211; odjel apod.<\/p>\n<ul>\n<li><strong><em>\u010cinnosti, pomoc\u00ed kter\u00fdch se nacvi\u010duje vid\u011bn\u00ed po\u010dtu v\u011bc\u00ed do deseti.<\/em><\/strong><\/li>\n<\/ul>\n<p>Proveden\u00ed je analogick\u00e9 k&nbsp;n\u00e1cviku vid\u011bn\u00ed po\u010dtu v\u011bc\u00ed do 5. Za p\u011bti kole\u010dky nau\u010dte \u017e\u00e1ky d\u011blat mezeru. Potom vid\u00ed nap\u0159.&nbsp;7 kole\u010dek bez po\u010d\u00edt\u00e1n\u00ed po&nbsp;jedn\u00e9.<\/p>\n<p>P\u0159.: Chci vid\u011bt 8 kole\u010dek.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-800\" title=\"a07\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a07.jpg\" alt=\"\" width=\"500\" height=\"64\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a07.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a07-200x25.jpg 200w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>Kolik chyb\u00ed do deseti?<\/p>\n<ul>\n<li style=\"text-align: left;\"><strong><em>Modelov\u00e1n\u00ed p\u0159\u00edklad\u016f na s\u010d\u00edt\u00e1n\u00ed a&nbsp;od\u010d\u00edt\u00e1n\u00ed do p\u011bti (do deseti).<\/em><\/strong><\/li>\n<\/ul>\n<p><em>P\u0159.: 5 -2<\/em><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-801\" title=\"a08\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a08.jpg\" alt=\"\" width=\"350\" height=\"83\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a08.jpg 542w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a08-200x47.jpg 200w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><\/p>\n<ul>\n<li><strong><em>V<\/em><em>yu\u017eit\u00ed kole\u010dek k&nbsp;\u010dinnostem v&nbsp;u\u010debnici matematiky pro 1.&nbsp;ro\u010dn\u00edk &#8211; D\u00edvej se a&nbsp;po\u010d\u00edtej.<\/em><\/strong><\/li>\n<\/ul>\n<p>P\u0159.: Strana 6<\/p>\n<p>Kolik je na obr\u00e1zku halenek, suk\u00fdnek\u2026?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-806\" title=\"a09\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a09.jpg\" alt=\"\" width=\"450\" height=\"333\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a09.jpg 450w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a09-200x148.jpg 200w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/p>\n<p>Lze se pt\u00e1t i&nbsp;jinak. Kolik m\u00e1 halenka ruk\u00e1v\u016f?<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-807\" title=\"a10\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a10.jpg\" alt=\"\" width=\"240\" height=\"198\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a10.jpg 300w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a10-182x150.jpg 182w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/p>\n<p>P\u0159.: strana 15 P\u0159ikl\u00e1d\u00e1n\u00ed kole\u010dek do ur\u010den\u00e9ho po\u010dtu<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-811\" title=\"a11\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a11.jpg\" alt=\"\" width=\"500\" height=\"123\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a11.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a11-200x49.jpg 200w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>Jak prov\u00e1d\u011bt dal\u0161\u00ed didaktick\u00e9 hry s&nbsp;kostkou a&nbsp;kole\u010dky naleznete v&nbsp;metodick\u00e9m pr\u016fvodci u\u010debnic\u00ed Matematika 1 pro 1.&nbsp;ro\u010dn\u00edk &#8211; <a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=13\" target=\"_blank\">e-shop<\/a>.<\/p>\n<ul>\n<li><strong><em>\u010cinnosti s&nbsp;kole\u010dky, k&nbsp;vyvozen\u00ed po\u010d\u00edt\u00e1n\u00ed do 20 s&nbsp;p\u0159echodem p\u0159es des\u00edtku<\/em><\/strong><strong><em>.<\/em><\/strong><\/li>\n<\/ul>\n<p>\u010cinnosti k&nbsp;s\u010d\u00edt\u00e1n\u00ed (od\u010d\u00edt\u00e1n\u00ed) do dvaceti s&nbsp;p\u0159echodem p\u0159es des\u00edtkuj jsou vyobrazeny v&nbsp;pracovn\u00edm se\u0161itu U\u017e po\u010d\u00edt\u00e1m do dvaceti (<a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=21\" target=\"_blank\">e-shop<\/a>).<\/p>\n<p><a href=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a12.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-812\" title=\"a12\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a12.jpg\" alt=\"\" width=\"500\" height=\"404\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a12.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a12-185x150.jpg 185w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/p>\n<p>Kdy\u017e \u017e\u00e1ci prov\u00e1d\u011bli individu\u00e1ln\u011b p\u0159edch\u00e1zej\u00edc\u00ed \u010dinnosti, maj\u00ed dobr\u00fd p\u0159edpoklad k&nbsp;tomu, aby snadno pochopili po\u010d\u00edt\u00e1n\u00ed s&nbsp;p\u0159echodem p\u0159es des\u00edtku. Kdy\u017e te\u010f nap\u0159.&nbsp;vid\u00ed 9 kole\u010dek, maj\u00ed vytvo\u0159enou p\u0159edstavu, \u017ee do des\u00edti chyb\u00ed jedno.<\/p>\n<p>P\u0159:: 9 +3 je nau\u010dte modelovat takto:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-813\" title=\"a12a\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a12a.jpg\" alt=\"\" width=\"500\" height=\"58\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a12a.jpg 650w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a12a-200x23.jpg 200w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a12a-600x70.jpg 600w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>Za des\u00edtkou kole\u010dek d\u011blejte op\u011bt mezeru.<\/p>\n<ul>\n<li><strong><em>V<\/em><em>yu\u017eit\u00ed kole\u010dek k&nbsp;zobrazen\u00ed opakovan\u00e9ho s\u010d\u00edt\u00e1n\u00ed (vyvozen\u00ed n\u00e1sobilky)<\/em><\/strong><\/li>\n<\/ul>\n<p>P\u0159.: Pro n\u00e1sobilku 3.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-818\" title=\"a12b\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a12b.jpg\" alt=\"\" width=\"120\" height=\"404\" \/><\/p>\n<p>\u017d\u00e1k podkl\u00e1d\u00e1 kole\u010dka prou\u017ekem pap\u00edru a&nbsp;posunuje ho&#8230;<\/p>\n<p>4&#215;3<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-819\" title=\"a12c\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a12c.jpg\" alt=\"\" width=\"120\" height=\"226\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a12c.jpg 200w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a12c-79x150.jpg 79w\" sizes=\"auto, (max-width: 120px) 100vw, 120px\" \/><\/p>\n<p>p\u0159itom po\u010d\u00edt\u00e1 kole\u010dka s\u010d\u00edt\u00e1n\u00edm (3+3+3+3), t\u00edm vyvozuje n\u00e1sobilku (4&#215;3).<\/p>\n<p>\u017d\u00e1k m\u016f\u017ee d\u00e1le tvo\u0159it slovn\u00ed \u00falohy:  Sestavil jsem 5 \u0159ad po&nbsp;3 kole\u010dk\u00e1ch, kolik je to kole\u010dek? Jak\u00fd p\u0159\u00edklad k&nbsp;tomu pat\u0159\u00ed?<\/p>\n<ul>\n<li><em><strong>Vyu\u017eit\u00ed kole\u010dek k&nbsp;rozli\u0161ov\u00e1n\u00ed \u00fasudku. <\/strong><\/em><\/li>\n<\/ul>\n<p>V 1.&nbsp;2.&nbsp;ro\u010dn\u00edku vyu\u017e\u00edv\u00e1me kole\u010dek k&nbsp;rozli\u0161ov\u00e1n\u00ed \u00fasudku o&nbsp;n\u011bkolik v\u00edce o&nbsp;n\u011bkolik m\u00e9n\u011b.<\/p>\n<p>Ve 3.&nbsp;ro\u010dn\u00edku pak pomoc\u00ed kole\u010dek u\u010d\u00edme \u017e\u00e1ky rozli\u0161ovat v\u0161echny \u010dty\u0159i \u00fasudky to znamen\u00e1 p\u0159id\u00e1v\u00e1me n\u011bkolikr\u00e1t v\u00edce, n\u011bkolikr\u00e1t m\u00e9n\u011b. Uprost\u0159ed u\u010debnice Matematiky pro 3.&nbsp;ro\u010dn\u00edku (<a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=26\" target=\"_blank\">e-shop<\/a>), je k&nbsp;n\u00e1cviku rozli\u0161ov\u00e1n\u00ed \u00fasudk\u016f p\u0159ipravena dvojstrana. Viz Metodick\u00fd pr\u016fvodce u\u010debnic\u00ed matematiky pro 3.&nbsp;ro\u010dn\u00edk (<a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=26\" target=\"_blank\">e-shop<\/a>).<\/p>\n<h3><em><strong>B) Vyu\u017eit\u00ed kole\u010dek a&nbsp;kostky<\/strong><\/em><\/h3>\n<p style=\"text-align: center;\"><a href=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a00-sl.jpg\" target=\"_blank\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-815\" title=\"a00-sl\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a00-sl.jpg\" alt=\"\" width=\"300\" height=\"146\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a00-sl.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a00-sl-200x97.jpg 200w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>P\u0159.: Polo\u017e stejn\u011b kole\u010dek jako je punt\u00edk\u016f na kostce. (v\u00edce, m\u00e9n\u011b)<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-821\" title=\"a13\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a13.jpg\" alt=\"\" width=\"349\" height=\"123\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a13.jpg 968w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a13-200x70.jpg 200w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a13-600x211.jpg 600w\" sizes=\"auto, (max-width: 349px) 100vw, 349px\" \/><\/p>\n<p>P\u0159:: Porovnej po\u010det punt\u00edk\u016f na kostk\u00e1ch.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-824\" title=\"a14\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/a14.jpg\" alt=\"\" width=\"300\" height=\"123\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a14.jpg 831w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a14-200x82.jpg 200w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/a14-600x246.jpg 600w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><strong>4. Des\u00edtky kole\u010dek<\/strong><\/h2>\n<p>Je to v\u00fdte\u010dn\u00e1 pom\u016fcka na roz\u0161\u00ed\u0159en\u00ed <strong>\u010d\u00edseln\u00e9ho oboru do sta<\/strong>. V&nbsp;n\u011bkter\u00fdch p\u0159\u00edpadech Je ji t\u0159eba doplnit o&nbsp;kole\u010dka z&nbsp;kostky. (<a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=52\" target=\"_blank\">e-shop<\/a>)<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-837\" title=\"d1\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/d1.jpg\" alt=\"\" width=\"300\" height=\"222\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/d1.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/d1-200x148.jpg 200w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\u017d\u00e1ci kartu rozst\u0159\u00edhaj\u00ed na pruhy 1&#215;20 kole\u010dek, 6&#215;10 kole\u010dek, 2&#215;5 kole\u010dek a&nbsp;zbytek. (Do sta je t\u0159eba doplnit 2 kole\u010dka z&nbsp;kostky)<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-838\" title=\"d2\" src=\"https:\/\/nns.cz\/blog\/wp-content\/uploads\/d2.jpg\" alt=\"\" width=\"400\" height=\"42\" srcset=\"https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/d2.jpg 570w, https:\/\/www.nns.cz\/blog\/wp-content\/uploads\/d2-200x21.jpg 200w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>Popis \u010dinnost\u00ed s&nbsp;des\u00edtkami kole\u010dek najdete v&nbsp;Metodick\u00e9m pr\u016fvodci u\u010debnic\u00ed M pro 2.&nbsp;ro\u010dn\u00edk, str.31 (<a href=\"https:\/\/nns.cz\/obchod\/?item=nabidka&amp;kid=21\" target=\"_blank\">e-shop<\/a>). Uk\u00e1zky jsou t\u00e9\u017e na metodick\u00fdch filmech pro  2.&nbsp;ro\u010dn\u00edk od <a href=\"https:\/\/nns.cz\/blog\/seznam-odkazu\" target=\"_blank\">Tvo\u0159iv\u00e9 \u0161koly<\/a>.<\/p>\n<h2>5. Soubor zna\u010dek a&nbsp;\u010d\u00edslic<\/h2>\n<p><em>Informace o&nbsp;\u010dinnostech s&nbsp;dal\u0161\u00edmi pom\u016fckami budou pr\u016fb\u011b\u017en\u011b dopl\u0148ov\u00e1ny.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>P\u0159ipravili: Zdena Roseck\u00e1 a&nbsp;Martin Jan\u00e1\u010dek P\u0159edstavujeme V\u00e1m n\u011bkter\u00e9 pom\u016fcky, kter\u00e9 m\u016f\u017eete b\u011b\u017en\u011b pou\u017e\u00edvat p\u0159i&nbsp;v\u00fduce matematiky z\u00e1rove\u0148 s&nbsp;u\u010debnicemi a&nbsp;pracovn\u00edmi se\u0161ity p\u0159ipraven\u00fdmi nakladatelstv\u00edm Nov\u00e1 \u0161kola. Ne\u017e se budeme v\u011bnovat jednotliv\u00fdm pom\u016fck\u00e1m, tak v\u00e1s upozor\u0148ujeme na n\u011bkter\u00e9z\u00e1sady pro pou\u017eit\u00ed t\u011bchto pom\u016fcek ve vyu\u010dov\u00e1n\u00ed: &#8222;\u010dinnostn\u00ed u\u010den\u00ed p\u0159edpokl\u00e1d\u00e1 jednoduch\u00e9 pom\u016fcky v&nbsp;rukou ka\u017ed\u00e9ho \u017e\u00e1ka&#8220;. \u017d\u00e1k l\u00e9pe vn\u00edm\u00e1, ch\u00e1pe a&nbsp;pamatuje si to, [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-612","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages\/612","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/comments?post=612"}],"version-history":[{"count":61,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages\/612\/revisions"}],"predecessor-version":[{"id":614,"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/pages\/612\/revisions\/614"}],"wp:attachment":[{"href":"https:\/\/www.nns.cz\/blog\/wp-json\/wp\/v2\/media?parent=612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}