{"id":145,"date":"2013-12-30T14:08:00","date_gmt":"2013-12-30T13:08:00","guid":{"rendered":"http:\/\/public.kvcso.cz\/?p=145"},"modified":"2020-03-29T14:11:55","modified_gmt":"2020-03-29T12:11:55","slug":"analyza-grafu-s-vyuzitim-tabletu","status":"publish","type":"post","link":"https:\/\/ucitel.kvcso.cz\/?p=145","title":{"rendered":"Anal\u00fdza graf\u016f s vyu\u017eit\u00edm tabletu"},"content":{"rendered":"\n

M\u011b\u0159it a zpracov\u00e1vat fyzik\u00e1ln\u00ed jevy bez po\u010d\u00edta\u010de? S tabletem snadno a z\u00e1bavn\u011b. T\u011bmito v\u011btami chci uv\u00e9st zaj\u00edmavou metodu zpracov\u00e1n\u00ed dat pomoc\u00ed programu Vernier Graphical Analysis. Samoz\u0159ejm\u011b na tabletu.<\/p>\n\n\n\n

P\u0159edstavte si skupinu \u017e\u00e1k\u016f, kte\u0159\u00ed maj\u00ed k dispozici tablet nebo chytr\u00fd telefon. A sebe jako pedagoga, kter\u00fd m\u00e1 p\u0159ed sebou m\u011b\u0159\u00edc\u00ed senzorick\u00e9 za\u0159\u00edzen\u00ed (s mo\u017enost\u00ed ovl\u00e1d\u00e1n\u00ed rovn\u011b\u017e pomoc\u00ed tabletu). \u017d\u00e1ci maj\u00ed nainstalovanou aplikaci, jsou p\u0159ipojeni p\u0159es spole\u010dnou wi-fi, a p\u0159edev\u0161\u00edm maj\u00ed p\u0159ipraven\u00fd sc\u00e9n\u00e1\u0159 pro zpracov\u00e1n\u00ed v\u00fdstup\u016f ze zachycen\u00e9ho zvuku. P\u0159idan\u00e1 hodnota cel\u00e9 pr\u00e1ce je v okam\u017eit\u00e9m zobrazen\u00ed stejn\u00fdch grafick\u00fdch z\u00e1znam\u016f v \u017e\u00e1kovsk\u00fdch za\u0159\u00edzen\u00edch. Ani\u017e by museli n\u011bco kreslit, maj\u00ed graf nikoli jako v\u00fdsledek sv\u00e9 pr\u00e1ce, ale jako zdroj pro dal\u0161\u00ed anal\u00fdzu. Jde o p\u0159edstavu re\u00e1lnou, nebo velmi vzd\u00e1lenou?<\/p>\n\n\n\n

\"Graphical<\/figure><\/div>\n\n\n\n

Spolupr\u00e1ce s aplikac\u00ed Vernier Video Physics<\/h3>\n\n\n\n

Graphical Analysis zpracov\u00e1v\u00e1 grafy z nam\u011b\u0159en\u00fdch hodnot a umo\u017e\u0148uje jejich prezentaci pomoc\u00ed obr\u00e1zk\u016f nebo tabulkov\u00fdch dat. Je ot\u00e1zkou, kde se daj\u00ed zdrojov\u00e9 \u00fadaje po\u0159\u00eddit? Pro mobiln\u00ed za\u0159\u00edzen\u00ed s iOS (od verze 6) existuje vynikaj\u00edc\u00ed aplikace Video Physics<\/em>. Ta um\u00ed export nam\u011b\u0159en\u00fdch hodnot z nato\u010den\u00fdch pohybov\u00fdch jev\u016f. V\u00fdhodou je, \u017ee prakticky na celou akci pot\u0159ebujete pouze tablet. Uveden\u00fd obr\u00e1zek prezentuje rovnom\u011brn\u00fd zrychlen\u00fd pohyb, p\u0159i\u010dem\u017e zde precizuje v\u00fdstupy z videa. Na grafu je kr\u00e1sn\u011b vid\u011bt kvadratick\u00e1 zm\u011bna dr\u00e1hy. V\u00fdhodou aplikace je mo\u017enost prokreslen\u00ed v\u00fdsledk\u016f k\u0159ivkou, d\u00e1le lze nam\u011b\u0159en\u00e9 hodnoty zobrazit v tabulce, pop\u0159. vyexportovat do tabulkov\u00e9ho kalkul\u00e1toru.<\/p>\n\n\n\n

\"Zrychlen\u00fd<\/figure><\/div>\n\n\n\n

Zrychlen\u00fd pohyb – v\u00fdstup z aplikace Vernier Video Physics<\/em><\/p>\n\n\n\n

Spolupr\u00e1ce s p\u0159\u00edstrojem LabQuest 2<\/h3>\n\n\n\n

Zaj\u00edmav\u00fd zp\u016fsob je ve vyu\u017eit\u00ed m\u011b\u0159\u00edc\u00edch modul\u016f v jin\u00e9m za\u0159\u00edzen\u00ed. iPad je toti\u017e schopen i z nich zaznamenat hodnoty z\u00edskan\u00e9 p\u0159i pokusech a d\u00e1le je analyzovat. Konkr\u00e9tn\u011b zde jde o Vernier LabQuest 2<\/em>, co\u017e je senzorick\u00e1 souprava pro m\u011b\u0159en\u00ed. Mus\u00edm \u0159\u00edct, \u017ee propojen\u00ed tabletu a LabQuestu je geni\u00e1ln\u00ed! P\u0159es spole\u010dnou wi-fi se oba p\u0159\u00edstroje spolehliv\u011b propoj\u00ed, a potom ji\u017e sta\u010d\u00ed nam\u011b\u0159en\u00e1 data zpracov\u00e1vat v aplikaci na iPadu. Krom\u011b toho lze m\u011b\u0159en\u00ed pomoc\u00ed tabletu pou\u0161t\u011bt. Vyzkou\u0161el jsem t\u0159i senzory, kter\u00e9 jsou sou\u010d\u00e1st\u00ed za\u0159\u00edzen\u00ed: sn\u00edm\u00e1n\u00ed zvuku, teploty a sv\u011btla (viz obr\u00e1zky). Komunikace mezi iPadem a LabQuestem je naka\u017eliv\u00e1 a aplikaci Graphical Analysis zved\u00e1 do v\u00fdrazn\u011b vy\u0161\u0161\u00ed \u00farovn\u011b ne\u017e u programu Video Physics. Velkou v\u00fdhodou je rychlost proveden\u00ed pokus\u016f a prakticky okam\u017eit\u00e9 po\u0159\u00edzen\u00ed v\u00fdstup\u016f. U\u010ditel se m\u016f\u017ee zab\u00fdvat hlavn\u011b \u017e\u00e1ky, co\u017e jej posouv\u00e1 do role mentora. Vzhledem k mno\u017estv\u00ed p\u0159\u00eddavn\u00fdch senzor\u016f je z\u0159ejm\u00e9, \u017ee vyu\u017eitelnost je obrovsk\u00e1.<\/p>\n\n\n\n

\"Akustick\u00fd<\/figure><\/div>\n\n\n\n

Akustick\u00fd tlak (r\u016fzn\u00e9 v\u00fd\u0161ky t\u00f3n\u016f) – v\u00fdstup ze za\u0159\u00edzen\u00ed Vernier LabQuest 2<\/em><\/p>\n\n\n\n

\"Osv\u011btlen\u00ed\"<\/figure><\/div>\n\n\n\n

M\u011b\u0159en\u00ed osv\u011btlen\u00ed (blik\u00e1n\u00ed) – v\u00fdstup ze za\u0159\u00edzen\u00ed Vernier LabQuest 2<\/em><\/p>\n\n\n\n

Jde to i bez dal\u0161\u00edch za\u0159\u00edzen\u00ed<\/h3>\n\n\n\n

Dal\u0161\u00ed p\u0159\u00edklad ukazuje, jak dalece je aplikace funk\u010dn\u00ed i bez doprovodn\u00fdch modul\u016f. Graphical Analysis m\u00e1 zabudov\u00e1n akcelerometr, kter\u00fd um\u00ed analyzovat pohybov\u00e9 jevy sn\u00edman\u00e9 tabletem. Pou\u017eil jsem sk\u00e1kaj\u00edc\u00ed m\u00ed\u010d, u kter\u00e9ho se vykresl\u00ed z\u00e1vislost zrychlen\u00ed na \u010dase b\u011bhem dvou odraz\u016f. Pro v\u00fduku je ale tento v\u00fdstup obt\u00ed\u017en\u011b pou\u017eiteln\u00fd, vykreslen\u00ed ve sm\u011bru jednotliv\u00fdch os (x,y,z) nen\u00ed snadn\u00e9 interpretovat. Jedinou \u0161anc\u00ed je pou\u017eit\u00ed dvou nebo t\u0159\u00ed graf\u016f pod sebou, p\u0159i\u010dem\u017e v\u017edy bude uveden jeden sm\u011br vybran\u00e9 osy. Analyzovat tuto situaci ale moc nelze.<\/p>\n\n\n\n

Zaj\u00edmav\u011bj\u0161\u00ed je jin\u00fd p\u0159\u00edstup: vyu\u017eit\u00ed aplikace jako n\u00e1stroje pro zpracov\u00e1n\u00ed laboratorn\u00ed pr\u00e1ce. Do intern\u00edch tabulek se zap\u00ed\u0161ou nam\u011b\u0159en\u00e9 hodnoty a pomoc\u00ed funkce se dopln\u00ed graf o modelovou k\u0159ivku. I kdy\u017e tuto metodu nen\u00ed probl\u00e9m realizovat pomoc\u00ed n\u011bjak\u00e9ho tabulkov\u00e9ho kalkul\u00e1toru, v tabletu m\u00e1 podobn\u00e9 m\u011b\u0159en\u00ed motiva\u010dn\u00ed n\u00e1boj a pro \u017e\u00e1ky je ur\u010dit\u011b p\u0159\u00edstupn\u011bj\u0161\u00ed ne\u017e Excel nebo Calc.<\/p>\n\n\n\n

\"Z\u00e1pis<\/figure><\/div>\n\n\n\n

Grafick\u00e9 zpracov\u00e1n\u00ed \u00fadaj\u016f zapsan\u00fdch do tabulky – v\u00fdstup z aplikace Vernier Graphical Analysis<\/em><\/p>\n\n\n\n

Porad\u00ed si i s v\u00fdstupy z Logger Pro 3<\/h3>\n\n\n\n

P\u0159i pou\u017eit\u00ed soustavy Vernier pot\u0159ebujete software pro zpracov\u00e1n\u00ed nam\u011b\u0159en\u00fdch \u00fadaj\u016f. K dispozici jsou programy Logger Lite<\/em>, kter\u00fd je zdarma ke sta\u017een\u00ed, a placen\u00fd Logger Pro 3<\/em>. Oba maj\u00ed odli\u0161n\u00fd v\u00fdstupn\u00ed form\u00e1t, p\u0159i\u010dem\u017e Graphical Analysis na iPadu um\u00ed docela dob\u0159e analyzovat v\u00fdsledn\u00e1 m\u011b\u0159en\u00ed z druh\u00e9ho uveden\u00e9ho. Jak ale soubor do aplikace dostat, kdy\u017e tablet nem\u00e1 spole\u010dn\u00e9 \u00falo\u017ei\u0161t\u011b? \u0158e\u0161en\u00ed je nakonec velmi jednoduch\u00e9. Sta\u010d\u00ed pou\u017e\u00edt nap\u0159\u00edklad Dropbox, kter\u00fd ukl\u00e1d\u00e1 do cloudu (na extern\u00ed servery). V Dropboxu na iPadu pouze otev\u0159ete p\u0159\u00edslu\u0161n\u00fd soubor a exportujete do Graphical Analysis. Zbytek ji\u017e zn\u00e1te. I kdy\u017e nem\u00e1m mo\u017enost Logger Pro 3 pou\u017e\u00edvat, na webu www.vernier.com<\/em> je ke sta\u017een\u00ed n\u011bkolik hotov\u00fdch m\u011b\u0159en\u00ed. Pro vyzkou\u0161en\u00ed ur\u010dit\u011b sta\u010d\u00ed, nav\u00edc obsahuj\u00ed kompletn\u00ed v\u00fdstupy v\u010detn\u011b textov\u00e9 \u010d\u00e1sti. Samoz\u0159ejm\u011b v angli\u010dtin\u011b.<\/p>\n\n\n\n

Shrnut\u00ed<\/h3>\n\n\n\n

V\u00fdsledn\u00e9 grafy lze prokl\u00e1dat zn\u00e1m\u00fdmi k\u0159ivkami, p\u0159i\u010dem\u017e se z numerick\u00fdch odhad\u016f nab\u00eddne i funk\u010dn\u00ed p\u0159edpis. U n\u011bkter\u00fdch n\u00e1ro\u010dn\u011bj\u0161\u00edch operac\u00ed ji\u017e iPad 2 hardwarov\u011b nest\u00edh\u00e1, probl\u00e9my jsou na\u0161t\u011bst\u00ed jen ob\u010dasn\u00e9. Je dobr\u00e9 s t\u00edm ale po\u010d\u00edtat, nebo\u0165 tento model je i p\u0159es nov\u011bj\u0161\u00ed typy st\u00e1le v prodeji. Metoda je zalo\u017eena na v\u00fdb\u011bru intervalu a n\u00e1sledn\u00e9m prokreslen\u00ed n\u011bjakou funkc\u00ed mezi jeho hranicemi. K\u0159ivky lze barevn\u011b odli\u0161it a d\u00edky tomu, \u017ee v jednom v\u00fdstupu mohu m\u00edt i t\u0159i grafy (p\u0159\u00edp. jeden graf t\u0159ikr\u00e1t), jde o zaj\u00edmavou metodu pro porovn\u00e1v\u00e1n\u00ed v\u00fdsledk\u016f.<\/p>\n\n\n\n

Aplikace pro iPad je placen\u00e1 (k datu vzniku \u010dl\u00e1nku), nikde jsem k n\u00ed nena\u0161el \u010desk\u00fd manu\u00e1l, ten ale nen\u00ed pot\u0159eba. Na str\u00e1nk\u00e1ch\u00a0www.vernier.com<\/em>\u00a0je dostatek informac\u00ed v angli\u010dtin\u011b, videa na YouTube jsou sp\u00ed\u0161e ilustrativn\u00ed. Graphical Analysis je k dispozici i pro Android (zdarma), funk\u010dnost jsem testoval na tabletu Nexus\u00a07. M\u00e1 sice v\u00fdrazn\u00e1 omezen\u00ed, neum\u00ed nap\u0159.\u00a0export nebo prokreslen\u00ed k\u0159ivkami, ale z hlediska zapojen\u00ed do kolaboratorn\u00ed v\u00fduky jde o dosta\u010duj\u00edc\u00ed pom\u016fcku p\u0159edev\u0161\u00edm d\u00edky dostupnosti a jednoduch\u00e9mu ovl\u00e1d\u00e1n\u00ed. V ka\u017ed\u00e9m p\u0159\u00edpad\u011b jde o aplikaci, kter\u00e1 je vhodn\u00e1 pro odborn\u011bj\u0161\u00ed p\u0159\u00edstup, z\u00e1jemc\u016fm o hlub\u0161\u00ed zkoum\u00e1n\u00ed fyzik\u00e1ln\u00edch jev\u016f d\u00e1v\u00e1 velk\u00fd prostor pro zpracov\u00e1n\u00ed nam\u011b\u0159en\u00fdch hodnot a docela kvalitn\u00ed v\u00fdstupy.<\/p>\n\n\n\n

Autor: Petr Chlebek<\/strong> <\/p>\n","protected":false},"excerpt":{"rendered":"

M\u011b\u0159it a zpracov\u00e1vat fyzik\u00e1ln\u00ed jevy bez po\u010d\u00edta\u010de? S tabletem snadno a z\u00e1bavn\u011b. T\u011bmito v\u011btami chci uv\u00e9st zaj\u00edmavou metodu zpracov\u00e1n\u00ed dat pomoc\u00ed programu Vernier Graphical Analysis. Samoz\u0159ejm\u011b na tabletu. P\u0159edstavte si skupinu \u017e\u00e1k\u016f, kte\u0159\u00ed maj\u00ed k dispozici tablet nebo chytr\u00fd telefon. A sebe jako pedagoga, kter\u00fd m\u00e1 p\u0159ed sebou m\u011b\u0159\u00edc\u00ed senzorick\u00e9 za\u0159\u00edzen\u00ed (s mo\u017enost\u00ed ovl\u00e1d\u00e1n\u00ed rovn\u011b\u017e…<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18,8],"tags":[44,46,15,47,45],"class_list":["post-145","post","type-post","status-publish","format-standard","hentry","category-sekce-ict","category-sekce-prirodovedna","tag-fyzika","tag-graf","tag-ict","tag-tablet","tag-vernier"],"_links":{"self":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/145","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=145"}],"version-history":[{"count":1,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/145\/revisions"}],"predecessor-version":[{"id":146,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=\/wp\/v2\/posts\/145\/revisions\/146"}],"wp:attachment":[{"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=145"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=145"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ucitel.kvcso.cz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}