Podczas ostatnich lekcji matematyki uczniowie klasy 4a przenie\u015bli si\u0119 w \u015bwiat figur przestrzennych. Nie ka\u017cde dziecko jest w stanie na podstawie samego rysunku wyobrazi\u0107 sobie konstrukcj\u0119 graniastos\u0142upa czy prostopad\u0142o\u015bcianu. Poza tradycyjnymi zadaniami w zeszycie, uczniowie mieli okazj\u0119 sk\u0142ada\u0107 w\u0142asnor\u0119cznie modele prostopad\u0142o\u015bcian\u00f3w i sze\u015bcian\u00f3w ramach projektu matematycznego. Jego realizacja by\u0142a wieloetapowa.
W celu przybli\u017cenia zagadnie\u0144 geometrii przestrzennej podczas zaj\u0119\u0107 uczniowie:
– poznawali podstawowe figury przestrzenne: prostopad\u0142o\u015bcian, sze\u015bcian, graniastos\u0142up;
– nazywali i wskazywali poznane bry\u0142y i ich elementy (\u015bciany, wierzcho\u0142ki, kraw\u0119dzie);
– pracowali z siatkami figur przestrzennych.
Zaj\u0119cia mia\u0142y na celu nie tylko utrwalenie nazw i w\u0142a\u015bciwo\u015bci bry\u0142, ale przede wszystkim zrozumienie ich budowy poprzez dzia\u0142anie. Uczniowie pracowali z siatkami, kt\u00f3re sk\u0142adali w przestrzenne figury, ucz\u0105c si\u0119 przy tym, jak z p\u0142askiego rysunku powstaje tr\u00f3jwymiarowy obiekt.
Dzi\u0119ki tej formie pracy mogli lepiej wyobrazi\u0107 sobie kszta\u0142ty, kraw\u0119dzie i wierzcho\u0142ki bry\u0142, a jednocze\u015bnie rozwijali swoje zdolno\u015bci manualne i przestrzenne my\u015blenie.
Wsp\u00f3lna nauka na lekcji matematyki nabra\u0142a kszta\u0142t\u00f3w. Projekt dostarczy\u0142 r\u00f3wnie\u017c dobrej zabawy, wp\u0142yn\u0105\u0142 na rozwijanie swoich umiej\u0119tno\u015bci i zainteresowa\u0144 jak r\u00f3wnie\u017c pozytywnie wp\u0142yn\u0105\u0142 na nauk\u0119 pracy w grupie.<\/p>\n
Tekst: Agata Masternak
Zdj\u0119cia: Barbara Kacprowska, Agata Masternak<\/p>\n
\n
![\n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\n\t\n\n\t\t\n View Slideshow<\/a>\n\t\t\n\t<\/div>\n\t\n\t\t\n\t<\/div>\t<\/div>\n<\/p>\n","protected":false},"excerpt":{"rendered":"Podczas ostatnich lekcji matematyki uczniowie klasy 4a przenie\u015bli si\u0119 w \u015bwiat figur przestrzennych. Nie ka\u017cde dziecko jest w stanie na<\/p>\n","protected":false},"author":2,"featured_media":62645,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[14],"tags":[],"_links":{"self":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644"}],"collection":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=62644"}],"version-history":[{"count":1,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions"}],"predecessor-version":[{"id":62646,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions\/62646"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/media\/62645"}],"wp:attachment":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=62644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=62644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=62644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}](\"https:\/\/www.sp1.siedlce.pl\/wp-content\/gallery\/swiat-bryl\/4.JPG\"\n){kind=link}
![\n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\n\t\n\n\t\t\n View Slideshow<\/a>\n\t\t\n\t<\/div>\n\t\n\t\t\n\t<\/div>\t<\/div>\n<\/p>\n","protected":false},"excerpt":{"rendered":"Podczas ostatnich lekcji matematyki uczniowie klasy 4a przenie\u015bli si\u0119 w \u015bwiat figur przestrzennych. Nie ka\u017cde dziecko jest w stanie na<\/p>\n","protected":false},"author":2,"featured_media":62645,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[14],"tags":[],"_links":{"self":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644"}],"collection":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=62644"}],"version-history":[{"count":1,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions"}],"predecessor-version":[{"id":62646,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions\/62646"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/media\/62645"}],"wp:attachment":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=62644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=62644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=62644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}](\"https:\/\/www.sp1.siedlce.pl\/wp-content\/gallery\/swiat-bryl\/3.JPG\"\n){kind=link}
![\n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\n\t\n\n\t\t\n View Slideshow<\/a>\n\t\t\n\t<\/div>\n\t\n\t\t\n\t<\/div>\t<\/div>\n<\/p>\n","protected":false},"excerpt":{"rendered":"Podczas ostatnich lekcji matematyki uczniowie klasy 4a przenie\u015bli si\u0119 w \u015bwiat figur przestrzennych. Nie ka\u017cde dziecko jest w stanie na<\/p>\n","protected":false},"author":2,"featured_media":62645,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[14],"tags":[],"_links":{"self":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644"}],"collection":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=62644"}],"version-history":[{"count":1,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions"}],"predecessor-version":[{"id":62646,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions\/62646"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/media\/62645"}],"wp:attachment":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=62644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=62644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=62644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}](\"https:\/\/www.sp1.siedlce.pl\/wp-content\/gallery\/swiat-bryl\/1.JPG\"\n){kind=link}
![\n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\t\t\t\n\t\t\t\t \n \n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\n\t\n\n\t\t\n View Slideshow<\/a>\n\t\t\n\t<\/div>\n\t\n\t\t\n\t<\/div>\t<\/div>\n<\/p>\n","protected":false},"excerpt":{"rendered":"Podczas ostatnich lekcji matematyki uczniowie klasy 4a przenie\u015bli si\u0119 w \u015bwiat figur przestrzennych. Nie ka\u017cde dziecko jest w stanie na<\/p>\n","protected":false},"author":2,"featured_media":62645,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[14],"tags":[],"_links":{"self":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644"}],"collection":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=62644"}],"version-history":[{"count":1,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions"}],"predecessor-version":[{"id":62646,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions\/62646"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/media\/62645"}],"wp:attachment":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=62644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=62644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=62644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}](\"https:\/\/www.sp1.siedlce.pl\/wp-content\/gallery\/swiat-bryl\/2.JPG\"\n){kind=link}
![\n \n <\/a>\n <\/div>\n\t\t\t\t\t\t\t<\/div> \n\t\t\t\n\t\n\t\n\n\t\t\n View Slideshow<\/a>\n\t\t\n\t<\/div>\n\t\n\t\t\n\t<\/div>\t<\/div>\n<\/p>\n","protected":false},"excerpt":{"rendered":"Podczas ostatnich lekcji matematyki uczniowie klasy 4a przenie\u015bli si\u0119 w \u015bwiat figur przestrzennych. Nie ka\u017cde dziecko jest w stanie na<\/p>\n","protected":false},"author":2,"featured_media":62645,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[14],"tags":[],"_links":{"self":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644"}],"collection":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=62644"}],"version-history":[{"count":1,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions"}],"predecessor-version":[{"id":62646,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/posts\/62644\/revisions\/62646"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=\/wp\/v2\/media\/62645"}],"wp:attachment":[{"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=62644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=62644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sp1.siedlce.pl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=62644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}](\"https:\/\/www.sp1.siedlce.pl\/wp-content\/gallery\/swiat-bryl\/5.JPG\"\n){kind=link}