{"id":8648,"date":"2023-11-28T12:50:07","date_gmt":"2023-11-28T12:50:07","guid":{"rendered":"https:\/\/www.novakidschool.com\/pl\/blog\/?p=8648"},"modified":"2024-09-05T17:35:49","modified_gmt":"2024-09-05T17:35:49","slug":"jak-nauczyc-dziecko-ulamkow","status":"publish","type":"post","link":"https:\/\/www.novakidschool.com\/pl\/blog\/jak-nauczyc-dziecko-ulamkow\/","title":{"rendered":"Jak nauczy\u0107 dziecko u\u0142amk\u00f3w?"},"content":{"rendered":"  <section class=\"section blogHeader\" id=\"blogHeader-block_f8c58cae3b2c6232bd669db9aca12d39\">\n      <div class=\"blogHeader__wrapper\">\n                              <div class=\"blogHeader__image\">\n              <a href=\"https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/12\/1024x613_How-to-explain-fractions-to-a-child.png\" class=\"glightbox\">\n                <img decoding=\"async\" src=\"https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/12\/1024x613_How-to-explain-fractions-to-a-child.png\" alt=\"Dziecko uczy si\u0119 u\u0142amk\u00f3w - ilustracja\" class=\"blogHeader__imageItem\" srcset=\"https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/12\/1024x613_How-to-explain-fractions-to-a-child-300x180.png 300w, https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/12\/1024x613_How-to-explain-fractions-to-a-child-768x460.png 768w, https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/12\/1024x613_How-to-explain-fractions-to-a-child.png 1024w\" style=\"width:100%; aspect-ratio:1024\/613;\"> \n              <\/a>\n          <\/div>\n          \n      <\/div>\n  <\/section>\n\n      <section class=\"blogContentTable\" data-toc-section>\n        <input type=\"checkbox\" id=\"blogTocToggle\" class=\"blogContentTable__toggle\" \/>\n        <label for=\"blogTocToggle\" class=\"blogContentTable__header\">\n            <span class=\"blogContentTable__heading\">\n                Spis tre\u015bci            <\/span>\n            <span class=\"blogContentTable__arrow\"><\/span>\n        <\/label>\n        <div class=\"blogContentTable__wrapper\">\n            <div class=\"blogContentTable__heading blogContentTable__heading--sidebar\">\n                Spis tre\u015bci            <\/div>\n            <ol class=\"blogContentTable__list\">\n                                    <li>\n                        <span class=\"toc-item\">Interaktywne zabawy wspomagaj\u0105ce nauk\u0119 u\u0142amk\u00f3w<\/span>\n                    <\/li>\n                                    <li>\n                        <span class=\"toc-item\">Przyk\u0142ady z \u017cycia wyja\u015bniaj\u0105ce dzia\u0142anie u\u0142amk\u00f3w<\/span>\n                    <\/li>\n                                    <li>\n                        <span class=\"toc-item\">Ilustracje dla dzieci wyja\u015bniaj\u0105ce koncept u\u0142amk\u00f3w<\/span>\n                    <\/li>\n                                    <li>\n                        <span class=\"toc-item\">\u0106wiczenia online oraz apki do nauki u\u0142amk\u00f3w<\/span>\n                    <\/li>\n                                    <li>\n                        <span class=\"toc-item\">\u0106wiczenia do nauki u\u0142amk\u00f3w<\/span>\n                    <\/li>\n                                    <li>\n                        <span class=\"toc-item\">Jak radzi\u0107 sobie z powszechnymi b\u0142\u0119dami?<\/span>\n                    <\/li>\n                            <\/ol>\n        <\/div>\n    <\/section>\n\n    <script>\n        \/\/ Use DOMContentLoaded for faster TOC initialization\n        document.addEventListener('DOMContentLoaded', () => {\n            const tocSection = document.querySelector('[data-toc-section]');\n            if (!tocSection) return;\n\n            const headings = document.querySelectorAll('.blogHeadingText');\n            const tableContainer = tocSection.querySelector('.blogContentTable__list');\n            if (!tableContainer) return;\n\n            \/\/ Clear the container\n            tableContainer.innerHTML = '';\n\n            \/\/ Count valid headings with h2\n            let validHeadingsCount = 0;\n\n            \/\/ For each heading, create an item in the table of contents\n            headings.forEach((heading, index) => {\n                const h2 = heading.querySelector('h2');\n                if (!h2) return;\n\n                validHeadingsCount++;\n                const title = h2.textContent.trim();\n                const itemHtml = `<li><a href=\"#${heading.id}\">${title}<\/a><\/li>`;\n                tableContainer.innerHTML += itemHtml;\n            });\n\n            \/\/ Hide TOC if no valid headings found\n            if (validHeadingsCount === 0) {\n                tocSection.style.display = 'none';\n            }\n            \n            \/\/ Dispatch custom event to notify that TOC is ready\n            document.dispatchEvent(new CustomEvent('tocReady'));\n        });\n    <\/script>\n  \n\n\n  <section class=\"section blogText\" id=\"blogText-block_6b2ab474f2009ed955fd578f9c6e4887\">\n    <div class=\"blogText__wrapper\">\n        <div class=\"blogText__content\">\n            <p>Aby wyt\u0142umaczy\u0107 dziecku u\u0142amki, nale\u017cy rozpocz\u0105\u0107 si\u0119 od klarownego wyja\u015bnienia podstawowych poj\u0119\u0107, takich jak licznik (liczba cz\u0119\u015bci, kt\u00f3re bierzemy pod uwag\u0119) i mianownik (liczba wszystkich r\u00f3wnych cz\u0119\u015bci, na kt\u00f3re podzielona jest ca\u0142o\u015b\u0107).<\/p>\n<p>Aby nauka by\u0142a skuteczna i przyjemna, mo\u017cna wykorzysta\u0107 r\u00f3\u017cnorodne metody. Do nauki u\u0142amk\u00f3w mo\u017cna skorzysta\u0107 z wizualnych pomocy, takich jak klocki, ciasteczka lub owoce, kt\u00f3re mo\u017cna fizycznie podzieli\u0107, aby pokaza\u0107, jak wygl\u0105daj\u0105 r\u00f3\u017cne u\u0142amki. Gry i zabawy edukacyjne, kt\u00f3re koncentruj\u0105 si\u0119 na u\u0142amkach, tak\u017ce s\u0105 \u015bwietnym narz\u0119dziem do nauki. Dodatkowo stosowanie prostych przyk\u0142ad\u00f3w z \u017cycia codziennego, takich jak dzielenie cz\u0119\u015bci pizzy czy mierzenie sk\u0142adnik\u00f3w podczas gotowania, mo\u017ce pom\u00f3c dziecku lepiej zrozumie\u0107 u\u0142amki i zobaczy\u0107 ich praktyczne zastosowanie.<\/p>\n<p>Starsze dzieci warto zach\u0119ca\u0107 do zadawania pyta\u0144 i samodzielnego rozwi\u0105zywania prostych \u0107wicze\u0144 matematycznych zwi\u0105zanych z u\u0142amkami, aby rozwija\u0107 logiczne my\u015blenie i umiej\u0119tno\u015b\u0107 analizy.<\/p>\n<p>U\u0142amki s\u0105 wa\u017cnym elementem matematycznej edukacji dzieci. Rozumienie u\u0142amk\u00f3w pomaga nie tylko w matematyce, ale tak\u017ce w codziennym \u017cyciu, np. podczas mierzenia czasu czy podczas gotowania. Pami\u0119tajmy, \u017ce ka\u017cde dziecko rozwija si\u0119 w swoim tempie, dlatego wa\u017cne jest, aby dostosowa\u0107 tempo i poziom trudno\u015bci wprowadzanych \u0107wicze\u0144 na u\u0142amkach do indywidualnych potrzeb i umiej\u0119tno\u015bci dziecka.<\/p>\n<p>Cierpliwo\u015b\u0107 i pozytywne nastawienie w procesie nauki u\u0142amk\u00f3w s\u0105 kluczowe, aby dziecko mog\u0142o czerpa\u0107 z nauki matematyki zainteresowanie i pog\u0142\u0119bia\u0107 swoj\u0105 fascynacj\u0119 \u015bwiatem liczb.<\/p>\n        <\/div>\n    <\/div>\n  <\/section>\n\n\n  <section class=\"section blogHeadingText\" id=\"blogHeadingText-block_f65b02cd0fadcc41b41a8d8aa0d10458\">\n    <div class=\"blogHeadingText__wrapper\" >\n        <div class=\"blogHeadingText__heading\">\n            <h2 class=\"blogHeadingText__headingItem\" data-blog-heading data-section-id=\"blogHeadingText-block_f65b02cd0fadcc41b41a8d8aa0d10458\">\n                Interaktywne zabawy wspomagaj\u0105ce nauk\u0119 u\u0142amk\u00f3w            <\/h2>\n        <\/div>\n        <div class=\"blogHeadingText__content\">\n            <p>Interaktywne zabawy odgrywaj\u0105 istotn\u0105 rol\u0119 w nauce u\u0142amk\u00f3w, poniewa\u017c pozwalaj\u0105 dziecku do\u015bwiadczy\u0107 matematyki i pozna\u0107 abstrakcyjne poj\u0119cie, jakim s\u0105 u\u0142amki w praktyczny i anga\u017cuj\u0105cy spos\u00f3b. Jedn\u0105 z polecanych metod nauki u\u0142amk\u00f3w przez najm\u0142odszych jest wsp\u00f3lne gotowanie lub pieczenie, gdzie dziecko mo\u017ce u\u017cywa\u0107 u\u0142amk\u00f3w do odmierzenia sk\u0142adnik\u00f3w.<\/p>\n<p>Przyk\u0142adowo, przygotowanie ciasta mo\u017ce by\u0107 doskona\u0142\u0105 okazj\u0105 do nauki, jak u\u017cywa\u0107 1\/2 szklanki m\u0105ki, 1\/3 miski cukru, czy 1\/4 \u0142y\u017cki olejku. Dzieci mog\u0105 r\u00f3wnie\u017c anga\u017cowa\u0107 si\u0119 w zabawy zwi\u0105zane ze sztuk\u0105 i robieniem mozaik z papieru, gdzie ka\u017cdy kawa\u0142ek reprezentuje pewn\u0105 okre\u015blon\u0105 cz\u0119\u015b\u0107 ca\u0142o\u015bci, ucz\u0105c tym samym, jak r\u00f3\u017cne u\u0142amki mog\u0105 sk\u0142ada\u0107 si\u0119 na ca\u0142o\u015b\u0107.<\/p>\n<p>R\u00f3wnie\u017c gry planszowe, karty edukacyjne czy aplikacje mobilne, w kt\u00f3re sprytnie wpleciono w tematyk\u0119 u\u0142amk\u00f3w, s\u0105 doskona\u0142ym narz\u0119dziem do nauki poprzez zabaw\u0119. Gry, w kt\u00f3rych dzieci musz\u0105 rozwi\u0105zywa\u0107 zadania zwi\u0105zane z u\u0142amkami, aby przej\u015b\u0107 na kolejny poziom, rozwijaj\u0105 nie tylko umiej\u0119tno\u015b\u0107 liczenia, ale r\u00f3wnie\u017c strategiczne my\u015blenie.<\/p>\n<p>Wykorzystanie tych zabaw w domu czy w szkole mo\u017ce pom\u00f3c uczniom zrozumie\u0107 i zapami\u0119ta\u0107 poj\u0119cia zwi\u0105zane z u\u0142amkami. Takie \u0107wiczenia matematyczne w formie zabawy sprawi\u0105, \u017ce przedmioty \u015bcis\u0142e oraz logiczne my\u015blenie stan\u0105 si\u0119 dla dzieci bardziej atrakcyjne i &#8222;namacalne&#8221;. Wa\u017cne jest, aby te interaktywne metody by\u0142y odpowiednio dostosowane do wieku i poziomu rozwoju dziecka, aby nauka by\u0142a efektywna i przyjemna.<\/p>\n        <\/div>\n    <\/div>\n  <\/section>\n\n\n  <section class=\"section blogHeadingText\" id=\"blogHeadingText-block_63ac556625a6e23e5b45e619f7eef951\">\n    <div class=\"blogHeadingText__wrapper\" >\n        <div class=\"blogHeadingText__heading\">\n            <h2 class=\"blogHeadingText__headingItem\" data-blog-heading data-section-id=\"blogHeadingText-block_63ac556625a6e23e5b45e619f7eef951\">\n                Przyk\u0142ady z \u017cycia wyja\u015bniaj\u0105ce dzia\u0142anie u\u0142amk\u00f3w            <\/h2>\n        <\/div>\n        <div class=\"blogHeadingText__content\">\n            <p>U\u0142amki s\u0105 obecne w wielu codziennych sytuacjach, kt\u00f3re mo\u017cna wykorzysta\u0107 do nauki w praktyce poprzez zabaw\u0119! Oto 6 scenariuszy, kt\u00f3re pomog\u0105 dzieciom zrozumie\u0107 dzia\u0142anie u\u0142amk\u00f3w w praktyczny spos\u00f3b:<\/p>\n<ol>\n<li><strong>Gotowanie i pieczenie<\/strong>: Korzystanie z przepis\u00f3w kulinarnych jest doskona\u0142ym przyk\u0142adem zastosowania u\u0142amk\u00f3w. Dzieci mog\u0105 odmierza\u0107 sk\u0142adniki, takie jak p\u00f3\u0142 szklanki mleka czy \u0107wier\u0107 \u0142y\u017ceczki soli, co pomo\u017ce im zrozumie\u0107, jakie cz\u0119\u015bci ca\u0142o\u015bci reprezentuj\u0105 r\u00f3\u017cne u\u0142amki.<\/li>\n<li><strong>Dzielenie pizzy<\/strong>: Dzielenie pizzy na r\u00f3wne kawa\u0142ki to \u015bwietny spos\u00f3b na wizualne przedstawienie u\u0142amk\u00f3w. Mo\u017cna wyja\u015bni\u0107, \u017ce ka\u017cdy kawa\u0142ek pizzy to cz\u0119\u015b\u0107 ca\u0142o\u015bci, na przyk\u0142ad 1\/8, je\u015bli pizza jest podzielona na osiem cz\u0119\u015bci.<\/li>\n<li><strong>Zakupy<\/strong>: Podczas zakup\u00f3w mo\u017cna wykorzysta\u0107 u\u0142amki do wyja\u015bnienia promocji typu \u201ekup jeden produkt, drugi otrzymasz za p\u00f3\u0142 ceny\u201d. Mo\u017cna tak\u017ce por\u00f3wnywa\u0107 ceny, na przyk\u0142ad wyja\u015bniaj\u0105c, \u017ce jedna czwarta ceny oryginalnej to tyle samo co 25% zni\u017cki.<\/li>\n<li><strong>Planowanie czasu<\/strong>: U\u0142amk\u00f3w mo\u017cna u\u017cywa\u0107 tak\u017ce do planowania dnia. Na przyk\u0142ad wyja\u015bnienie, \u017ce 1\/4 dnia to 6 godzin, mo\u017ce pom\u00f3c w zrozumieniu podzia\u0142u czasu i zarz\u0105dzania nim.<\/li>\n<li><strong>Podzia\u0142 pracy domowej<\/strong>: Podzia\u0142 obowi\u0105zk\u00f3w domowych, gdzie ka\u017cda osoba wykonuje cz\u0119\u015b\u0107 pracy, mo\u017ce by\u0107 przyk\u0142adem u\u017cywania u\u0142amk\u00f3w w dzia\u0142aniu. Na przyk\u0142ad, je\u015bli cztery osoby dziel\u0105 mi\u0119dzy siebie cztery zadania, ka\u017cda osoba odpowiada za 1\/4 ca\u0142ej pracy.<\/li>\n<li><strong>Kalendarz Adwentowy<\/strong>: Kalendarz adwentowy, kt\u00f3ry zawiera 24 okienka, ka\u017cde z niespodziank\u0105 na ka\u017cdy dzie\u0144 od 1 grudnia do Wigilii, jest \u015bwietnym przyk\u0142adem na nauk\u0119 u\u0142amk\u00f3w. Dziecko mo\u017ce nauczy\u0107 si\u0119, \u017ce otwieraj\u0105c jedno okienko, odkrywa 1\/24 ca\u0142ego kalendarza. Po tygodniu, gdy otworzy 7 okienek, b\u0119dzie mia\u0142o ju\u017c 7\/24 ca\u0142o\u015bci. To doskona\u0142a okazja do rozmowy o tym, jak ka\u017cde kolejne okienko zmienia procentow\u0105 cz\u0119\u015b\u0107 ca\u0142o\u015bci, kt\u00f3r\u0105 dziecko ju\u017c odkry\u0142o. Mo\u017cna r\u00f3wnie\u017c wykorzysta\u0107 ten przyk\u0142ad do nauki odliczania dni do \u015awi\u0105t, wyja\u015bniaj\u0105c, \u017ce z ka\u017cdym dniem jeste\u015bmy o 1\/24 bli\u017cej do Wigilii.<\/li>\n<\/ol>\n<p>Te praktyczne przyk\u0142ady nie tylko pomog\u0105 dziecku w zrozumieniu u\u0142amk\u00f3w, ale tak\u017ce naucz\u0105, jak mo\u017cna ich u\u017cywa\u0107 w codziennym \u017cyciu. Wizualizacja u\u0142amk\u00f3w poprzez konkretne dzia\u0142ania i sytuacje \u017cyciowe jest skutecznym sposobem na u\u0142atwienie zrozumienia tego abstrakcyjnego poj\u0119cia matematycznego.<\/p>\n        <\/div>\n    <\/div>\n  <\/section>\n\n\n  <section class=\"section blogImage\" id=\"blogImage-block_ea92e3648edf76d13a587493e29479f9\">\n    <div class=\"blogImage__wrapper\" >\n        <div class=\"blogImage__image\">\n            <a href=\"https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/11\/1024\u0425613_fractions.png\" class=\"glightbox\">\n                <img decoding=\"async\" src=\"https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/11\/1024\u0425613_fractions.png\" alt=\"\" class=\"blogImage__imageItem blogImage__imageItem--noCrop\" srcset=\"https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/11\/1024\u0425613_fractions-300x180.png 300w, https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/11\/1024\u0425613_fractions-768x460.png 768w, https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/uploads\/2023\/11\/1024\u0425613_fractions.png 1024w\" >\n                <div class=\"glightbox__zoom\">\n                    <img decoding=\"async\" src=\"https:\/\/www.novakidschool.com\/pl\/blog\/wp-content\/themes\/novakid\/public\/img\/icons\/search.svg\" alt=\"Zoom icon\" class=\"style-svg\">\n                <\/div>\n            <\/a>\n        <\/div>\n            <\/div>\n  <\/section>\n\n\n  <section class=\"section blogHeadingText\" id=\"blogHeadingText-block_834eb20101f84a5b8b14d1923322036d\">\n    <div class=\"blogHeadingText__wrapper\" >\n        <div class=\"blogHeadingText__heading\">\n            <h2 class=\"blogHeadingText__headingItem\" data-blog-heading data-section-id=\"blogHeadingText-block_834eb20101f84a5b8b14d1923322036d\">\n                Ilustracje dla dzieci wyja\u015bniaj\u0105ce koncept u\u0142amk\u00f3w            <\/h2>\n        <\/div>\n        <div class=\"blogHeadingText__content\">\n            <p>Specjalnie na potrzeby tego artyku\u0142u przygotowali\u015bmy ilustracje do wydrukowania, kt\u00f3re w przyst\u0119pny spos\u00f3b prezentuj\u0105 koncept u\u0142amk\u00f3w. Ka\u017cda ilustracja dla dziecka wyja\u015bniaj\u0105ca koncept u\u0142amk\u00f3w jest zaprojektowana tak, aby wizualnie przedstawi\u0107, jak dzieli si\u0119 ca\u0142o\u015b\u0107 na mniejsze cz\u0119\u015bci. Dzi\u0119ki temu dzieci mog\u0105 lepiej zrozumie\u0107, czym s\u0105 u\u0142amki i jak wygl\u0105da ich podzia\u0142. Wizualne metody nauki, takie jak te ilustracje, s\u0105 niezwykle skuteczne, poniewa\u017c pozwalaj\u0105 dziecku zrozumie\u0107 abstrakcyjne poj\u0119cia matematyczne w bezpo\u015bredni, anga\u017cuj\u0105cy i intuicyjny spos\u00f3b.<\/p>\n        <\/div>\n    <\/div>\n  <\/section>\n\n\n  <section class=\"section blogHeadingText\" id=\"blogHeadingText-block_503ffb29984b8a34c114310b68364a7a\">\n    <div class=\"blogHeadingText__wrapper\" >\n        <div class=\"blogHeadingText__heading\">\n            <h2 class=\"blogHeadingText__headingItem\" data-blog-heading data-section-id=\"blogHeadingText-block_503ffb29984b8a34c114310b68364a7a\">\n                \u0106wiczenia online oraz apki do nauki u\u0142amk\u00f3w            <\/h2>\n        <\/div>\n        <div class=\"blogHeadingText__content\">\n            <p>Nowoczesna technologia, z kt\u00f3r\u0105 najm\u0142odsi nie rozstaj\u0105 si\u0119 ani na chwil\u0119, mo\u017ce i powinna by\u0107 wykorzystana do nauki w zabawny i bezstresowy spos\u00f3b. Zach\u0119camy wi\u0119c do korzystania z \u0107wicze\u0144 online oraz aplikacji do nauki matematyki, w szczeg\u00f3lno\u015bci u\u0142amk\u00f3w. Najr\u00f3\u017cniejsze gry online i aplikacje wspieraj\u0105 interaktywne i anga\u017cuj\u0105ce sposoby nauki, kt\u00f3re mog\u0105 uzupe\u0142nia\u0107 tradycyjne metody edukacyjne.<\/p>\n<p>W\u015br\u00f3d aplikacji online warto zwr\u00f3ci\u0107 uwag\u0119 na takie, kt\u00f3re stawiaj\u0105 na grywalizacj\u0119, czyli po\u0142\u0105czenie nauki z elementami gry i rywalizacji. Aplikacje takie jak \u201eMath Learning Center\u201d czy <a href=\"https:\/\/www.twinkl.pl\/resource\/tg-ga-92-pizza-fractions-game\">\u201ePizza Fractions\u201d <\/a>pozwalaj\u0105 dzieciom na praktyczne eksperymentowanie z u\u0142amkami poprzez zabawne i kolorowe gry, co sprawia, \u017ce matematyka staje si\u0119 bardziej przyst\u0119pna i interesuj\u0105ca.<\/p>\n<p>Istniej\u0105 r\u00f3wnie\u017c platformy edukacyjne oferuj\u0105ce kursy online i \u0107wiczenia, kt\u00f3re zapewniaj\u0105 kompleksowe lekcje matematyczne, w tym dedykowane zaj\u0119cia dotycz\u0105ce u\u0142amk\u00f3w. Te platformy cz\u0119sto oferuj\u0105 spersonalizowane \u015bcie\u017cki nauki, dzi\u0119ki czemu dzieci mog\u0105 pracowa\u0107 d\u0142u\u017cej nad rzeczami, kt\u00f3re sprawiaj\u0105 im trudno\u015b\u0107 i rozwija\u0107 umiej\u0119tno\u015bci w tempie dostosowanym do ich potrzeb.<\/p>\n<p>Korzystanie z aplikacji i platform edukacyjnych online pozwala na \u0142atwe \u015bledzenie post\u0119p\u00f3w, co jest kluczowe w efektywnej nauce. Wykorzystanie smartfona, tabletu czy komputera do nauki u\u0142amk\u00f3w to nie tylko spos\u00f3b na utrzymanie zainteresowania dziecka, ale tak\u017ce efektywna metoda na rozwijanie umiej\u0119tno\u015bci analitycznych i logicznego my\u015blenia.<\/p>\n        <\/div>\n    <\/div>\n  <\/section>\n\n\n  <section class=\"section blogHeadingText\" id=\"blogHeadingText-block_d2bea3fcffb36b42432363e1ea4fd345\">\n    <div class=\"blogHeadingText__wrapper\" >\n        <div class=\"blogHeadingText__heading\">\n            <h2 class=\"blogHeadingText__headingItem\" data-blog-heading data-section-id=\"blogHeadingText-block_d2bea3fcffb36b42432363e1ea4fd345\">\n                \u0106wiczenia do nauki u\u0142amk\u00f3w            <\/h2>\n        <\/div>\n        <div class=\"blogHeadingText__content\">\n                    <\/div>\n    <\/div>\n  <\/section>\n\n\n\n    <!-- Custom CSS for Quiz -->\n    <style type=\"text\/css\">\n\n    \/* Fixes *\/\n    #advq_quiz_8651 ul.advq_question_list {\n        padding:10px 0;\n        margin:0;\n    }\n\n    #advq_quiz_8651 {\n        font-family: ;\n        font-size: 1em;\n        line-height: 1.5em;\n        font-weight: 400;\n        font-style: ;\n    }\n\n    #advq_quiz_8651 .advq_button,\n    #advq_quiz_8651 .advq_validade_ck,\n    #advq_quiz_8651 .advq_next_button,\n    #advq_quiz_8651 .advq_start_quiz_button,\n    #advq_quiz_8651 .advq-restart,\n    #advq_quiz_8651 .advq-restart a {\n        color:#FFFFFF;\n        background-color:rgba(200,107,245,1);\n        font-family: ;\n    }\n\n    #advq_quiz_8651 .advq_button,\n    #advq_quiz_8651 .advq_next_button,\n    #advq_quiz_8651 .advq_start_quiz_button {\n        font-size: 1em;\n        line-height: 1.5em;\n        font-weight: 400;\n        font-style: ;\n    }\n\n    #advq_quiz_8651 .advq_button:hover,\n    #advq_quiz_8651 .advq_validade_ck:hover,\n    #advq_quiz_8651 .advq_next_button:hover,\n    #advq_quiz_8651 .advq_start_quiz_button:hover,\n    #advq_quiz_8651 .advq-restart:hover,\n    #advq_quiz_8651 .advq-restart a:hover {\n        color:#FFFFFF;\n        background-color:rgba(200,107,245,1);\n    }\n\n    #advq_quiz_8651 {\n            max-width:100%;\n        }\n        \n    \/* Questions *\/\n    #advq_quiz_8651 .advq_question {\n        color: rgba(0,0,0,1);\n        font-family: ;\n        font-size: 1.5em;\n        line-height: 1.5em;\n        padding-top: 10px;\n        padding-right: 10px;\n        padding-bottom: 10px;\n        padding-left: 10px;\n        background-color: rgba(245,245,245,1);\n        font-weight: 700;\n        font-style: ;\n    }\n    \/* General rule for Answers *\/\n    #advq_quiz_8651 .advq_question_container li {\n        font-family: ;\n        font-size: 1em;\n        line-height: 1.5em;\n        font-weight: 400;\n        font-style: ;\n        padding-top: 10px;\n        padding-right: 10px;\n        padding-bottom: 10px;\n        padding-left: 10px;\n    }\n\n    \/* Normal State *\/\n    #advq_quiz_8651 .advq_question_container li.quiz_unselected_answer {\n        background-color: rgba(244,244,244,1);\n        color: rgba(0,0,0,1);\n    }\n    \/* Hover State *\/\n    #advq_quiz_8651 .advq_question_container ul.advq_question_list:not(.quiz_question_done) li:hover {\n        background-color: rgba(255,230,6,1);\n        color: rgba(0,0,0,1);\n    }\n    \/* Selected Answer *\/\n    #advq_quiz_8651 .advq_question_container  li.quiz_selected_answer {\n        background-color: rgba(110,70,255,1);\n        color: rgba(0,0,0,1);\n    }\n    \/* Correct Answer *\/\n    #advq_quiz_8651 .advq_question_container li.quiz_selected_answer.quiz_correct_answer {\n        background-color: rgba(158,208,100,1);\n        color: rgba(0,0,0,1);\n    }\n    \/* Unselected Correct Answer *\/\n    #advq_quiz_8651 .advq_question_container li.quiz_unselected_answer.quiz_unselected_correct_answer {\n        background-color: rgba(158,208,100,1);\n        color: rgba(0,0,0,1);\n    }\n    \/* Wrong Answer *\/\n    #advq_quiz_8651 .advq_question_container li.quiz_selected_answer.quiz_incorrect_answer {\n        background-color: rgba(243,134,129,1);\n        color: rgba(0,0,0,1);\n    }\n\n    \/* Answer Information *\/\n    #advq_quiz_8651 .advq_answer_commentary {\n        background-color: rgba(244,244,244,1);\n        color: rgba(0,0,0,1);\n    }\n\n    \/* Answers Container *\/\n    #advq_quiz_8651 .advq_results_wrapper {\n        background-color: rgba(249,249,249,1);\n        color: rgba(0,0,0,1);\n        padding-top: 20px;\n        padding-right: 20px;\n        padding-bottom: 20px;\n        padding-left: 20px;\n        margin-top: 20px;\n        margin-right: 0;\n        margin-bottom: 0;\n        margin-left: 0;\n        border:1px solid #f5f5f5;\n    }\n    #advq_quiz_8651 .advq_review_answers {\n        padding-top: 20px;\n        padding-right: 20px;\n        padding-bottom: 20px;\n        padding-left: 20px;\n    }\n    \n    <\/style><div style='opacity:0' class='advq_quiz_wrap advq_minimal advq_hasprogbar' data-quiz-id='8651' id='advq_quiz_8651' data-qtype='trivia' data-qlayout='minimal' data-unique-visitor='false' data-start-time='1776581497' data-options='{\"provide_result\":true,\"allow_change\":true,\"result_position\":\"inline\",\"one_page\":false,\"scroll_to_next\":false,\"progress_bar\":\"disabled\",\"back_button\":false,\"list_mode\":false,\"relation\":\"AND\",\"answerstags\":false}'><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-1\" >Co to jest licznik u\u0142amka?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-1\"><li class=\"quiz_unselected_answer\"><input data-value='Wynik dzielenia ' data-rule='0' id='question-1_0' name='question-1' type='radio' data-points='1'> <label for='question-1_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>Wynik dzielenia <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='Liczba nad kresk\u0105 u\u0142amkow\u0105 ' data-rule='1' id='question-1_1' name='question-1' type='radio' data-points='1'> <label for='question-1_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>Liczba nad kresk\u0105 u\u0142amkow\u0105 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value=' Liczba pod kresk\u0105 u\u0142amkow\u0105 ' data-rule='0' id='question-1_2' name='question-1' type='radio' data-points='1'> <label for='question-1_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span> Liczba pod kresk\u0105 u\u0142amkow\u0105 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value=' Ca\u0142o\u015b\u0107 podzielona na cz\u0119\u015bci' data-rule='0' id='question-1_3' name='question-1' type='radio' data-points='1'> <label for='question-1_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span> Ca\u0142o\u015b\u0107 podzielona na cz\u0119\u015bci<\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-2\" >Jaki u\u0142amek reprezentuje ca\u0142\u0105 pizz\u0119?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-2\"><li class=\"quiz_unselected_answer\"><input data-value='1\/8' data-rule='0' id='question-2_0' name='question-2' type='radio' data-points='1'> <label for='question-2_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/8<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/1 ' data-rule='1' id='question-2_1' name='question-2' type='radio' data-points='1'> <label for='question-2_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/1 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/2' data-rule='0' id='question-2_2' name='question-2' type='radio' data-points='1'> <label for='question-2_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value=' 1\/4 ' data-rule='0' id='question-2_3' name='question-2' type='radio' data-points='1'> <label for='question-2_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span> 1\/4 <\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-3\" >Je\u015bli mamy 1\/2 ciasta i zjemy 1\/4 z niego, ile ciasta zostanie?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-3\"><li class=\"quiz_unselected_answer\"><input data-value='1\/8 ' data-rule='0' id='question-3_0' name='question-3' type='radio' data-points='1'> <label for='question-3_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/8 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/2 ' data-rule='0' id='question-3_1' name='question-3' type='radio' data-points='1'> <label for='question-3_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/4 ' data-rule='1' id='question-3_2' name='question-3' type='radio' data-points='1'> <label for='question-3_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/4 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/3' data-rule='0' id='question-3_3' name='question-3' type='radio' data-points='1'> <label for='question-3_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/3<\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-4\" >Kt\u00f3ry z tych u\u0142amk\u00f3w jest najwi\u0119kszy?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-4\"><li class=\"quiz_unselected_answer\"><input data-value='3\/4 ' data-rule='1' id='question-4_0' name='question-4' type='radio' data-points='1'> <label for='question-4_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>3\/4 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/4 ' data-rule='0' id='question-4_1' name='question-4' type='radio' data-points='1'> <label for='question-4_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/4 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/2 ' data-rule='0' id='question-4_2' name='question-4' type='radio' data-points='1'> <label for='question-4_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/3' data-rule='0' id='question-4_3' name='question-4' type='radio' data-points='1'> <label for='question-4_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/3<\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-5\" >Co otrzymamy, dodaj\u0105c 1\/4 i 1\/4?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-5\"><li class=\"quiz_unselected_answer\"><input data-value='1\/2 ' data-rule='1' id='question-5_0' name='question-5' type='radio' data-points='1'> <label for='question-5_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/8 ' data-rule='0' id='question-5_1' name='question-5' type='radio' data-points='1'> <label for='question-5_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/8 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/3' data-rule='0' id='question-5_2' name='question-5' type='radio' data-points='1'> <label for='question-5_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/3<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='2\/4 ' data-rule='0' id='question-5_3' name='question-5' type='radio' data-points='1'> <label for='question-5_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>2\/4 <\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-11\" >Jak\u0105 cz\u0119\u015b\u0107 stanowi 2 z 8?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-11\"><li class=\"quiz_unselected_answer\"><input data-value='1\/2' data-rule='0' id='question-11_0' name='question-11' type='radio' data-points='1'> <label for='question-11_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/4 ' data-rule='1' id='question-11_1' name='question-11' type='radio' data-points='1'> <label for='question-11_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/4 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='2\/8 ' data-rule='0' id='question-11_2' name='question-11' type='radio' data-points='1'> <label for='question-11_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>2\/8 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/3 ' data-rule='0' id='question-11_3' name='question-11' type='radio' data-points='1'> <label for='question-11_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/3 <\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-12\" >Ile to jest 1\/3 z 9?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-12\"><li class=\"quiz_unselected_answer\"><input data-value='4' data-rule='0' id='question-12_0' name='question-12' type='radio' data-points='1'> <label for='question-12_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>4<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='2 ' data-rule='0' id='question-12_1' name='question-12' type='radio' data-points='1'> <label for='question-12_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>2 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='3 ' data-rule='1' id='question-12_2' name='question-12' type='radio' data-points='1'> <label for='question-12_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>3 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='6 ' data-rule='0' id='question-12_3' name='question-12' type='radio' data-points='1'> <label for='question-12_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>6 <\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-13\" >Je\u015bli podzielimy ciastko na 4 r\u00f3wne cz\u0119\u015bci, to ka\u017cda cz\u0119\u015b\u0107 to jaki u\u0142amek ciastka?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-13\"><li class=\"quiz_unselected_answer\"><input data-value='1\/3 ' data-rule='0' id='question-13_0' name='question-13' type='radio' data-points='1'> <label for='question-13_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/3 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/4 ' data-rule='1' id='question-13_1' name='question-13' type='radio' data-points='1'> <label for='question-13_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/4 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/2 ' data-rule='0' id='question-13_2' name='question-13' type='radio' data-points='1'> <label for='question-13_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/8' data-rule='0' id='question-13_3' name='question-13' type='radio' data-points='1'> <label for='question-13_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/8<\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-17\" >Co jest wi\u0119ksze, 1\/2 czy 3\/5?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-17\"><li class=\"quiz_unselected_answer\"><input data-value='3\/5 ' data-rule='1' id='question-17_0' name='question-17' type='radio' data-points='1'> <label for='question-17_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>3\/5 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/2 ' data-rule='0' id='question-17_1' name='question-17' type='radio' data-points='1'> <label for='question-17_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='Obie s\u0105 r&oacute;wne ' data-rule='0' id='question-17_2' name='question-17' type='radio' data-points='1'> <label for='question-17_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>Obie s\u0105 r\u00f3wne <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='Nie mo\u017cna tego por&oacute;wna\u0107' data-rule='0' id='question-17_3' name='question-17' type='radio' data-points='1'> <label for='question-17_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>Nie mo\u017cna tego por\u00f3wna\u0107<\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-18\" >Je\u015bli masz 3\/4 litra soku i wypijesz 1\/2 litra, ile soku zostanie?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-18\"><li class=\"quiz_unselected_answer\"><input data-value='1\/8 litra ' data-rule='0' id='question-18_0' name='question-18' type='radio' data-points='1'> <label for='question-18_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/8 litra <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='3\/8 litra' data-rule='1' id='question-18_1' name='question-18' type='radio' data-points='1'> <label for='question-18_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>3\/8 litra<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value=' 1\/4 litra ' data-rule='0' id='question-18_2' name='question-18' type='radio' data-points='1'> <label for='question-18_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span> 1\/4 litra <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/2 litra ' data-rule='0' id='question-18_3' name='question-18' type='radio' data-points='1'> <label for='question-18_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2 litra <\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-19\" >Jak przekszta\u0142cimy 50% na u\u0142amek?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-19\"><li class=\"quiz_unselected_answer\"><input data-value='2\/5' data-rule='0' id='question-19_0' name='question-19' type='radio' data-points='1'> <label for='question-19_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>2\/5<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/5 ' data-rule='0' id='question-19_1' name='question-19' type='radio' data-points='1'> <label for='question-19_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/5 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/2 ' data-rule='1' id='question-19_2' name='question-19' type='radio' data-points='1'> <label for='question-19_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/2 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='5\/10 ' data-rule='0' id='question-19_3' name='question-19' type='radio' data-points='1'> <label for='question-19_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>5\/10 <\/label><\/li><\/ul><\/div><\/div><div  data-mandatory=\"\" class=\"advq_question_container \" ><div class=\"advq_question_wrap\"><div class=\"advq_question\" data-question-id=\"question-20\" >Kt\u00f3ry z u\u0142amk\u00f3w jest r\u00f3wny 0,25?<\/div><ul data-priority=\"normal\" data-type=\"radio\" data-relation=\"ignore\" class=\"advq_question_list\" data-question-id=\"question-20\"><li class=\"quiz_unselected_answer\"><input data-value=' 1\/2' data-rule='0' id='question-20_0' name='question-20' type='radio' data-points='1'> <label for='question-20_0'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span> 1\/2<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/3' data-rule='0' id='question-20_1' name='question-20' type='radio' data-points='1'> <label for='question-20_1'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/3<\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/4 ' data-rule='1' id='question-20_2' name='question-20' type='radio' data-points='1'> <label for='question-20_2'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/4 <\/label><\/li><li class=\"quiz_unselected_answer\"><input data-value='1\/5 ' data-rule='0' id='question-20_3' name='question-20' type='radio' data-points='1'> <label for='question-20_3'><span class=\"advq_a_input\"><i class=\"fa fa-square-o\" aria-hidden=\"true\"><\/i><\/span>1\/5 <\/label><\/li><\/ul><\/div><\/div><div class=\"advq_before_results\"><div class=\"advq_checkanswers \">\n\t\t<div class=\"advq_button\">Sprawd\u017a wyniki<\/div>\n        <div class=\"advq_warning\"><\/div>\n\t<\/div><\/div><div class=\"advq_results_wrapper\"><div style=\"display:none;\" class=\"advq_results_title\">Tw\u00f3j wynik:<\/div><div class=\"advq_review_answers\">Sprawd\u017a odpowiedzi<\/div><div style=\"display:none;\" class=\"advq_no_results\"><div class=\"advq_no_results_title\">Sorry, no results found.<\/div>Please repeat the quiz and try different answer combinations.<\/div><div style=\"display:none;\" data-query=\"\" data-up-to=\"5\" class=\"advq_feedback_box\" id=\"advq_feedback_1678289957\" data-title=\"\" data-unique-id=\"feedback_1678289957\" data-tag=\"\" data-redirect=\"\">\n\t\t\t\t\t\t<div class=\"advq_feedback_title\"><\/div><div class=\"advq_feedback_description\">Spr\u00f3buj jeszcze raz. \r\nZach\u0119camy Ci\u0119 do przeczytania artyku\u0142u i wykonania \u0107wicze\u0144 powt\u00f3rnie.\r\n\r\nAby poprawi\u0107 swoj\u0105 znajomo\u015b\u0107 angielskiego, przeczytaj inne artyku\u0142y na naszym blogu!<\/div><div class=\"advq-share-buttons\">\n\t  \t\t\t\t<div class=\"advq-fb-link\">\n\t  \t\t\t\t\t<a data-social-network=\"facebook\" href=\"https:\/\/www.facebook.com\/sharer\/sharer.php?u=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D\" target=\"_blank\" title=\"Share on Facebook\"><i class=\"fa fa-facebook-square\" aria-hidden=\"true\"><\/i> <span>Udost\u0119pnij swoje wyniki<\/span><\/a><\/div>\n\t \t\t\t \t<div class=\"advq-twitter-link\">\n\t \t\t\t \t\t<a data-social-network=\"twitter\" href=\"https:\/\/twitter.com\/intent\/tweet?source=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D&text={result}Nauka u\u0142amk\u00f3w: 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class=\"advq_feedback_description\">Dobra robota!\r\n\r\nAby poprawi\u0107 swoj\u0105 znajomo\u015b\u0107 angielskiego, przeczytaj inne artyku\u0142y na naszym blogu!<\/div><div class=\"advq-share-buttons\">\n\t  \t\t\t\t<div class=\"advq-fb-link\">\n\t  \t\t\t\t\t<a data-social-network=\"facebook\" href=\"https:\/\/www.facebook.com\/sharer\/sharer.php?u=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D\" target=\"_blank\" title=\"Share on Facebook\"><i class=\"fa fa-facebook-square\" aria-hidden=\"true\"><\/i> <span>Udost\u0119pnij swoje wyniki<\/span><\/a><\/div>\n\t \t\t\t \t<div class=\"advq-twitter-link\">\n\t \t\t\t \t\t<a data-social-network=\"twitter\" href=\"https:\/\/twitter.com\/intent\/tweet?source=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D&text={result}Nauka u\u0142amk\u00f3w: https:\/\/www.novakidschool.com\/pl\/blog\/wp-json\/wp\/v2\/posts\/8648?qid=8651qr{rid} \" target=\"_blank\" title=\"Tweet\"><i class=\"fa fa-twitter\" aria-hidden=\"true\"><\/i><span> Udost\u0119pnij swoje wyniki<\/span><\/a><\/div>\n\t\t\t\t\t<div class=\"advq-linkedin-link\">\n\t  \t\t\t\t\t<a data-social-network=\"linkedin\" href=\"https:\/\/www.linkedin.com\/sharing\/share-offsite\/?url=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D\" target=\"_blank\" title=\"Share on Linkedin\"><i class=\"fa fa-linkedin-square\" aria-hidden=\"true\"><\/i> <span>Udost\u0119pnij swoje wyniki<\/span><\/a><\/div>\n\t\t\t\t<\/div><\/div><div style=\"display:none;\" data-query=\"\" data-up-to=\"12\" class=\"advq_feedback_box\" id=\"advq_feedback_1681223878\" data-title=\"\" data-unique-id=\"feedback_1681223878\" data-tag=\"\" data-redirect=\"\">\n\t\t\t\t\t\t<div class=\"advq_feedback_title\"><\/div><div class=\"advq_feedback_description\">Doskonale!\r\n\r\nAby poprawi\u0107 swoj\u0105 znajomo\u015b\u0107 angielskiego, przeczytaj inne artyku\u0142y na naszym blogu!<\/div><div class=\"advq-share-buttons\">\n\t  \t\t\t\t<div class=\"advq-fb-link\">\n\t  \t\t\t\t\t<a data-social-network=\"facebook\" href=\"https:\/\/www.facebook.com\/sharer\/sharer.php?u=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D\" target=\"_blank\" title=\"Share on Facebook\"><i class=\"fa fa-facebook-square\" aria-hidden=\"true\"><\/i> <span>Udost\u0119pnij swoje wyniki<\/span><\/a><\/div>\n\t \t\t\t \t<div class=\"advq-twitter-link\">\n\t \t\t\t \t\t<a data-social-network=\"twitter\" href=\"https:\/\/twitter.com\/intent\/tweet?source=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D&text={result}Nauka u\u0142amk\u00f3w: https:\/\/www.novakidschool.com\/pl\/blog\/wp-json\/wp\/v2\/posts\/8648?qid=8651qr{rid} \" target=\"_blank\" title=\"Tweet\"><i class=\"fa fa-twitter\" aria-hidden=\"true\"><\/i><span> Udost\u0119pnij swoje wyniki<\/span><\/a><\/div>\n\t\t\t\t\t<div class=\"advq-linkedin-link\">\n\t  \t\t\t\t\t<a data-social-network=\"linkedin\" href=\"https:\/\/www.linkedin.com\/sharing\/share-offsite\/?url=https%3A%2F%2Fwww.novakidschool.com%2Fpl%2Fblog%2Fwp-json%2Fwp%2Fv2%2Fposts%2F8648%3Fqid%3D8651qr%7Brid%7D\" target=\"_blank\" title=\"Share on Linkedin\"><i class=\"fa fa-linkedin-square\" aria-hidden=\"true\"><\/i> <span>Udost\u0119pnij swoje wyniki<\/span><\/a><\/div>\n\t\t\t\t<\/div><\/div>\n                <div class=\"advq-restart\">\n                    <a href=\"\/pl\/blog\/wp-json\/wp\/v2\/posts\/8648\" title=\"Zr\u00f3b \u0107wiczenia jeszcze raz\"><i class=\"fa fa-refresh\" aria-hidden=\"true\"><\/i> <span>Zr\u00f3b \u0107wiczenia jeszcze raz<\/span><\/a>\n                <\/div><\/div><!-- Closing div for results --><\/div><!-- Closing div for quiz -->\n\n\n  <section class=\"section blogHeadingText\" id=\"blogHeadingText-block_dc5b23ae4b8f086da3ec2bd2ae3981fe\">\n    <div class=\"blogHeadingText__wrapper\" >\n        <div class=\"blogHeadingText__heading\">\n            <h2 class=\"blogHeadingText__headingItem\" data-blog-heading data-section-id=\"blogHeadingText-block_dc5b23ae4b8f086da3ec2bd2ae3981fe\">\n                Jak radzi\u0107 sobie z powszechnymi b\u0142\u0119dami?            <\/h2>\n        <\/div>\n        <div class=\"blogHeadingText__content\">\n            <p>W nauce u\u0142amk\u00f3w dzieci cz\u0119sto napotykaj\u0105 typowe problemy, kt\u00f3re mog\u0105 powodowa\u0107 frustracj\u0119 i zniech\u0119cenie do dalszej nauki. Jedn\u0105 z trudno\u015bci mo\u017ce by\u0107 zrozumienie, \u017ce r\u00f3\u017cne u\u0142amki mog\u0105 reprezentowa\u0107 t\u0119 sam\u0105 warto\u015b\u0107, na przyk\u0142ad 1\/2 i 2\/4. Innym powszechnym wyzwaniem jest dodawanie i odejmowanie u\u0142amk\u00f3w o r\u00f3\u017cnych mianownikach, co wymaga znajomo\u015bci wsp\u00f3lnego mianownika. R\u00f3wnie\u017c mno\u017cenie i dzielenie u\u0142amk\u00f3w mo\u017ce by\u0107 k\u0142opotliwe, szczeg\u00f3lnie gdy dzieci nie rozumiej\u0105 jeszcze poj\u0119cia odwracania u\u0142amka.<\/p>\n<p>Rodzice mog\u0105 pom\u00f3c swoim dzieciom pokona\u0107 te wyzwania poprzez cierpliwo\u015b\u0107 i konsekwentne t\u0142umaczenie. Wa\u017cne jest, aby zach\u0119ca\u0107 uczni\u00f3w do zadawania pyta\u0144 i eksplorowania r\u00f3\u017cnych rozwi\u0105za\u0144 problem\u00f3w matematycznych. Rodzice mog\u0105 r\u00f3wnie\u017c korzysta\u0107 z wizualnych pomocy, takich jak ciasteczka podzielone na cz\u0119\u015bci lub klocki, aby pom\u00f3c w zrozumieniu r\u00f3wno\u015bci r\u00f3\u017cnych u\u0142amk\u00f3w.<\/p>\n<p>Wsp\u00f3lne rozwi\u0105zywanie zada\u0144 i dyskusje na temat u\u0142amk\u00f3w pomog\u0105 dzieciom w utrwaleniu wiedzy i rozwijaniu umiej\u0119tno\u015bci matematycznych. Rodzice powinni by\u0107 cierpliwi i pozytywnie nastawieni, co pomo\u017ce najm\u0142odszym zachowa\u0107 motywacj\u0119 do dalszej nauki.<\/p>\n<h3><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Jak pomaga\u0107 dziecku w nauce?&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:513,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0}\">Jak pomaga\u0107 dziecku w nauce?<\/span><\/h3>\n<p>Na zako\u0144czenie warto podkre\u015bli\u0107, \u017ce pomoc w nauce u\u0142amk\u00f3w, matematyki, czy innych przedmiot\u00f3w, powinna by\u0107 zawsze tylko wsparciem, a nie zwyr\u0119czaniem dziecka w procesie uczenia si\u0119. M\u0105dra pomoc uczy samodzielno\u015bci, rozwija umiej\u0119tno\u015bci rozwi\u0105zywania problem\u00f3w i krytycznego my\u015blenia. Dziecko, kt\u00f3re samo dochodzi do rozwi\u0105zania, lepiej zapami\u0119tuje materia\u0142 i rozwija poczucie w\u0142asnej skuteczno\u015bci.<\/p>\n<p>Kiedy rodzic wspiera, ale nie wyprzedza dziecka w my\u015bleniu, pomaga mu budowa\u0107 pewno\u015b\u0107 siebie i niezale\u017cno\u015b\u0107. To kluczowe w d\u0142ugoterminowym rozwoju kompetencji ucznia. Dziecko, kt\u00f3re potrafi samodzielnie rozwi\u0105zywa\u0107 problemy, staje si\u0119 bardziej kreatywne i elastyczne w my\u015bleniu, co jest niezwykle wa\u017cne w szybko zmieniaj\u0105cym si\u0119 \u015bwiecie.<\/p>\n<p>Wspieraj\u0105c dzieci w nauce, pokazujemy, \u017ce b\u0142\u0119dy s\u0105 naturaln\u0105 cz\u0119\u015bci\u0105 procesu uczenia si\u0119 i \u017ce ka\u017cde wyzwanie jest okazj\u0105 do rozwoju. W ten spos\u00f3b przygotowujemy je nie tylko do sukces\u00f3w w nauce, ale tak\u017ce do radzenia sobie z r\u00f3\u017cnymi wyzwaniami \u017cyciowymi. Wi\u0119c pami\u0119tajmy: wspierajmy, inspirujmy i motywujmy, ale pozw\u00f3lmy naszym dzieciom samodzielnie odkrywa\u0107 i zdobywa\u0107 wiedz\u0119.<\/p>\n<p>Czy ten artyku\u0142 by\u0142 pomocny?<\/p>\n        <\/div>\n    <\/div>\n  <\/section>\n","protected":false},"excerpt":{"rendered":"<p>U\u0142amki zwyk\u0142e i nauka u\u0142amk\u00f3w &#8211; dzia\u0142ania na u\u0142amkach i obliczanie u\u0142amk\u00f3w. Sprawd\u017a, jak nauczy\u0107 dziecko u\u0142amk\u00f3w. Poznaj najlepsze zadania na u\u0142amki.<\/p>\n","protected":false},"author":8,"featured_media":8649,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[73],"tags":[],"class_list":["post-8648","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-jak-wyjasnic-dziecku"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Jak nauczy\u0107 dziecko u\u0142amk\u00f3w?<\/title>\n<meta name=\"description\" content=\"U\u0142amki zwyk\u0142e i nauka u\u0142amk\u00f3w - dzia\u0142ania na u\u0142amkach i obliczanie u\u0142amk\u00f3w. Sprawd\u017a, jak nauczy\u0107 dziecko u\u0142amk\u00f3w. 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