{"id":62110,"date":"2026-04-05T05:26:35","date_gmt":"2026-04-04T20:26:35","guid":{"rendered":"https:\/\/phys-edu.net\/wp\/?p=62110"},"modified":"2026-04-05T05:26:35","modified_gmt":"2026-04-04T20:26:35","slug":"hetki-jolloin-leikki-muuttuu-oppimiseksi-spirograafikuvioihin-katkeytyva-matematiikan-taika-desmos-ohjelmointi","status":"publish","type":"post","link":"https:\/\/phys-edu.net\/wp\/?p=62110&lang=fi","title":{"rendered":"Hetki, jolloin leikki muuttuu oppimiseksi! Spirograafikuvioihin k\u00e4tkeytyv\u00e4 \u201cmatematiikan taika\u201d (Desmos-ohjelmointi)"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #339966;\"><strong>Olen Ken Kuwako, tiedevalmentajasi. Jokainen p\u00e4iv\u00e4 on kokeilu.<\/strong><\/span><\/p>\n<p>Muistatko lapsuudestasi ne niin kutsutut muotoiluviivaimet? Niit\u00e4 pieni\u00e4 reik\u00e4isi\u00e4 hammasrattaita, joihin kyn\u00e4n k\u00e4rki pistettiin ja joita py\u00f6ritettiin ympyr\u00e4ss\u00e4. Kuin taikaiskusta paperille ilmestyi monimutkaisia ja h\u00e4mm\u00e4stytt\u00e4v\u00e4n kauniita geometrisia kuvioita.<\/p>\n<p>Tiesitk\u00f6, ett\u00e4 noiden verkkomaisten kuvioiden takana piilee kiehtova matematiikan maailma, joka kytkeytyy jopa maailmankaikkeuden lakeihin? T\u00e4n\u00e4\u00e4n kerron teille er\u00e4\u00e4st\u00e4 tiedekerholaisesta, joka onnistui muuttamaan t\u00e4m\u00e4n leikin tieteelliseksi kaavaksi.<\/p>\n<h3>Geometristen kuvioiden taika: Mik\u00e4 on spirografi?<\/h3>\n<p>Oletko koskaan kuullut nime\u00e4 spirografi?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33825 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43.jpg\" alt=\"\" width=\"550\" height=\"388\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43.jpg 1120w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-300x212.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-768x542.jpg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-1024x722.jpg 1024w\" sizes=\"auto, (max-width: 550px) 100vw, 550px\" \/><\/p>\n<p>Spirografi on lelu, jossa on py\u00f6reit\u00e4 hammasrattaita t\u00e4ynn\u00e4 pieni\u00e4 reiki\u00e4. Kun ratasta py\u00f6ritet\u00e4\u00e4n suuremman keh\u00e4n sis\u00e4ll\u00e4 kyn\u00e4n avulla, syntyy upeita kuvioita. Vaikka liike on yksinkertaista toistoa, lopputulos muistuttaa pikkutarkkaa kaleidoskooppia. T\u00e4st\u00e4 videosta n\u00e4et, kuinka sujuvasti kuvio syntyy ja miten palkitsevaa sen seuraaminen on.<\/p>\n<p><iframe loading=\"lazy\" title=\"\u30bb\u30ea\u30a2\u306e\u304f\u308b\u304f\u308b\u5b9a\u898f\uff08\u30b9\u30d4\u30ed\u30b0\u30e9\u30d5\uff0945\u306e\u30c7\u30b6\u30a4\u30f3\u5168\u90e8\u304b\u3044\u3066\u307f\u305f\u3000#shorts\" width=\"563\" height=\"1000\" src=\"https:\/\/www.youtube.com\/embed\/qslHd0d8KAY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p style=\"text-align: left;\">Nyky\u00e4\u00e4n n\u00e4it\u00e4 l\u00f6ytyy helposti vaikkapa edullisista kaupoista tai netist\u00e4 hakusanalla muotoiluviivain. <a href=\"https:\/\/amzn.to\/4mbYSrS\">Jos uteliaisuutesi her\u00e4si, voit kokeilla sit\u00e4 itse vaikka heti<\/a>.<\/p>\n<p style=\"text-align: left;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-62104 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-05-5.11.18.jpeg\" alt=\"\" width=\"170\" height=\"347\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-05-5.11.18.jpeg 346w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-05-5.11.18-147x300.jpeg 147w\" sizes=\"auto, (max-width: 170px) 100vw, 170px\" \/><\/p>\n<h3>Tiedekerholaisen haaste: Leikki k\u00e4\u00e4ntyy koodiksi<\/h3>\n<p>Er\u00e4s tiedekerhomme j\u00e4sen hurahti spirografeihin niin pahasti, ettei pelkk\u00e4 piirt\u00e4minen en\u00e4\u00e4 riitt\u00e4nyt. H\u00e4n halusi ymm\u00e4rt\u00e4\u00e4 kuvioiden logiikan ja kehitti omatoimisesti matemaattisen kaavan niiden piirt\u00e4miseen! \u201dOpettaja, katso! T\u00e4m\u00e4n avulla spirografin voi luoda tietokoneella\u201d, h\u00e4n sanoi ja n\u00e4ytti minulle tekem\u00e4ns\u00e4 muistiinpanot. On todella upeaa, miten yl\u00e4kouluik\u00e4inen oppilas pystyy j\u00e4sentelem\u00e4\u00e4n n\u00e4in monimutkaista asiaa.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33820 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0753.png\" alt=\"\" width=\"462\" height=\"654\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0753.png 706w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0753-212x300.png 212w\" sizes=\"auto, (max-width: 462px) 100vw, 462px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33821 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0754.png\" alt=\"\" width=\"458\" height=\"649\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0754.png 706w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/IMG_0754-212x300.png 212w\" sizes=\"auto, (max-width: 458px) 100vw, 458px\" \/><\/p>\n<p>Matematiikassa n\u00e4it\u00e4 spirografin ratoja kutsutaan nimill\u00e4 hypotrokoidi ja epitrokoidi. Vaikka kuviot n\u00e4ytt\u00e4v\u00e4t monimutkaisilta, ne koostuvat loppujen lopuksi vain p\u00e4\u00e4llekk\u00e4isist\u00e4 ympyr\u00e4liikkeist\u00e4.<\/p>\n<h3>Geometrista taidetta digitaalisesti<\/h3>\n<p>T\u00e4m\u00e4n oppilaan kehitt\u00e4m\u00e4n kaavan pohjalta teimme Desmos-graafilaskimella simulaation, joka n\u00e4ytt\u00e4\u00e4, milt\u00e4 kuvioiden synty n\u00e4ytt\u00e4\u00e4 digitaalisesti.<\/p>\n<p><iframe loading=\"lazy\" title=\"\u4f1d\u8aac\u306e\u304a\u3082\u3061\u3083\uff01Desmos\u3067\u4f5c\u308b\u30b9\u30d4\u30ed\u30b0\u30e9\u30d5\u3010\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u3011\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/K6yTshOrZr8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>On mielenkiintoista huomata, miten pieni muutos kaavassa muuttaa kuvion muotoa ja tiheytt\u00e4 dramaattisesti. Jos haluat kokeilla itse, <a href=\"https:\/\/www.desmos.com\/calculator\/cg0bywa2iz\">klikkaa t\u00e4st\u00e4 ja uppoudu simulaatioon<\/a>. Ehk\u00e4 l\u00f6yd\u00e4t oman uniikin suosikkikuviosi! Kaiken takana oleva matematiikka n\u00e4ytt\u00e4\u00e4 t\u00e4lt\u00e4:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33819 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003.jpg\" alt=\"\" width=\"368\" height=\"39\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003.jpg 790w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003-300x32.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/f04af5ba1ccd0f0ac1dbc6edb9b2d003-768x82.jpg 768w\" sizes=\"auto, (max-width: 368px) 100vw, 368px\" \/><\/p>\n<p>Kun spirografin liike puretaan osiin, huomataan, ett\u00e4 kyseess\u00e4 on yhden ympyr\u00e4liikkeen ja toisen, eri nopeudella tapahtuvan liikkeen summa. Siksi kaavassa k\u00e4ytet\u00e4\u00e4n lukio-opinnoistakin tuttuja sini- (sin) ja kosini-funktioita (cos).<\/p>\n<p>Se oli hieno hetki, kun nuoren oppilaan uteliaisuus kohtasi matematiikan kielen ja muuttui digitaaliseksi taiteeksi. Arkisissakin leikeiss\u00e4 piilee syvi\u00e4 ja kauniita tieteen siemeni\u00e4. Kun katsot maailmaa t\u00e4st\u00e4 n\u00e4k\u00f6kulmasta, tavalliset lelut alkavat n\u00e4ytt\u00e4\u00e4 aivan uudelta, eik\u00f6 vain?<\/p>\n<h3>Kysymykset ja yhteydenotot<\/h3>\n<p>Tiede on l\u00e4hemp\u00e4n\u00e4 kuin uskotkaan! Olen koonnut vinkkej\u00e4 ja hauskoja tiedekokeita, joita voit kokeilla kotona. Tutki ja l\u00f6yd\u00e4 uutta!<br \/>\n\u30fbTiedeblogini on nyt my\u00f6s kirjana. Lue lis\u00e4\u00e4 <a href=\"https:\/\/amzn.to\/42PMCEL\">t\u00e4\u00e4lt\u00e4<\/a><br \/>\n\u30fbLis\u00e4tietoa minusta (Ken Kuwako) l\u00f6yd\u00e4t <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=37\">t\u00e4\u00e4lt\u00e4<\/a><br \/>\n\u30fbYhteisty\u00f6pyynn\u00f6t (luennot, ty\u00f6pajat, tv-esiintymiset jne.) <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">t\u00e4\u00e4lt\u00e4<\/a><br \/>\n<span class=\"s2\">\u30fbSeuraa uusimpia p\u00e4ivityksi\u00e4 <a href=\"https:\/\/x.com\/kuwako\">X-palvelussa<\/a>!<\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.youtube.com\/user\/kkuwako\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-35048\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2020\/03\/3d9640dad7bc5538e76f92da1966ee19.jpg\" alt=\"\" width=\"30\" height=\"21\" \/><\/a><a href=\"https:\/\/www.youtube.com\/user\/kkuwako?sub_confirmation=1\">Tiedekanavallani<\/a> voit katsoa lis\u00e4\u00e4 koevideoita!<\/p>\n<h3>\uff14\u6708\u306e\u30a4\u30c1\u30aa\u30b7\u5b9f\u9a13\uff01<\/h3>\r\n<ul>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?p=46937&amp;\">\u5149\u306e\u9b54\u6cd5CMY\u30a6\u30a9\u30fc\u30bf\u30fc\u30ad\u30e5\u30fc\u30d6<\/a>\uff1a\u5149\u306e\u9b54\u6cd5\u3092\u4f53\u9a13\u305b\u3088\uff01\u6c34\u3092\u6ce8\u3050\u3068\u65b0\u305f\u306a\u7acb\u65b9\u4f53\u304c\u51fa\u73fe\u3059\u308b\u9b54\u6cd5\u306e\u3088\u3046\u306a\u5b9f\u9a13\u3067\u3059\u3002<\/li>\r\n<\/ul>\r\n<img class=\"alignnone wp-image-47312 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c.jpg\" sizes=\"auto, (max-width: 267px) 100vw, 267px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c.jpg 1292w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c-272x300.jpg 272w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c-928x1024.jpg 928w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/12\/71274840332ac4ee4620fb1475a1d79c-768x848.jpg 768w\" alt=\"\" width=\"267\" height=\"294\" \/>\r\n<h3 style=\"text-align: left;\"><span style=\"font-size: medium;\"><b><strong>\u30c6\u30ec\u30d3\u756a\u7d44\u30fb\u79d1\u5b66\u76e3\u4fee\u7b49\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/span><\/h3>\r\n<ul>\r\n \t<li>4\u67089\u65e5\uff08\u6728\uff09\u300cTHE\u7a81\u7834\u30d5\u30a1\u30a4\u30eb\u300d\uff08\u65e5\u672c\u30c6\u30ec\u30d3 \uff09\u306e\u79d1\u5b66\u76e3\u4fee\u3092\u884c\u3044\u307e\u3057\u305f\u3002\u591c7\u6642\u301c\u3068\u306a\u308a\u307e\u3059\u3002<\/li>\r\n<\/ul>\r\n<h3><span style=\"font-size: medium;\"><b>\u66f8\u7c4d<strong>\u306e\u304a\u77e5\u3089\u305b<\/strong><\/b><\/span><\/h3>\r\n<ul>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?p=61585\">\u30b5\u30af\u30bb\u30b915 \uff14\u6708\u53f7<\/a>\u306b\u3066\u3001\u91ce\u7403\u306e\u79d1\u5b66\u306b\u3064\u3044\u3066\u8a18\u4e8b\u3092\u57f7\u7b46\u3057\u307e\u3057\u305f\uff082026\/3\uff09<\/li>\r\n \t<li>\u300e\u5927\u4eba\u306e\u305f\u3081\u306e\u9ad8\u6821\u7269\u7406\u5fa9\u7fd2\u5e33\u300f\uff08\u8b1b\u8ac7\u793e\uff09\u2026\u4e00\u822c\u5411\u3051\u306b\u65e5\u5e38\u306e\u7269\u7406\u306b\u3064\u3044\u3066\u516c\u5f0f\u3092\u5143\u306b\u7d10\u89e3\u304d\u307e\u3057\u305f\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=1827\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u3067\u306f\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<strong>\u203b\u5897\u5237\u304c\u304b\u304b\u308a\uff16\u5237\u3068\u306a\u308a\u307e\u3057\u305f\uff082026\/02\/01\uff09\r\n<img class=\"alignnone wp-image-10940 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg\" sizes=\"(max-width: 220px) 100vw, 220px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0-300x262.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2013\/12\/0811159a99f69eeff1a357e3daed84e0.jpg 311w\" alt=\"\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8 2014-07-05 0.43.51\" width=\"220\" height=\"192\" \/>\r\n<\/strong><\/li>\r\n \t<li>\u300e\u304d\u3081\u308b!\u5171\u901a\u30c6\u30b9\u30c8 \u7269\u7406\u57fa\u790e \u6539\u8a02\u7248\u300f\uff08\u5b66\u7814\uff09\u2026\u3000\u9ad8\u6821\u7269\u7406\u306e\u53c2\u8003\u66f8\u3067\u3059\u3002\u30a4\u30e9\u30b9\u30c8\u3092\u591a\u304f\u3057\u3066\u30a4\u30e1\u30fc\u30b8\u304c\u6301\u3066\u308b\u3088\u3046\u306b\u63cf\u304d\u307e\u3057\u305f\u3002\u6388\u696d\u306b\u3064\u3044\u3066\u3044\u3051\u306a\u3044\u3001\u7269\u7406\u304c\u82e6\u624b\u3001\u305d\u3093\u306a\u751f\u5f92\u306b\u304a\u3059\u3059\u3081\u3067\u3059\u3002<a href=\"https:\/\/phys-edu.net\/wp\/?p=45322\">\u7279\u8a2d\u30b5\u30a4\u30c8<\/a>\u306f\u3053\u3061\u3089\u3002\r\n<img class=\"alignnone wp-image-45718 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg\" sizes=\"(max-width: 184px) 100vw, 184px\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c.jpg 756w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2024\/04\/dc1da64a8c8d1422062b4867c0607a1c-300x269.jpg 300w\" alt=\"\" width=\"184\" height=\"165\" \/><\/li>\r\n<\/ul>\r\n<h3><span style=\"font-size: medium;\"><b>\u8b1b\u5e2b\u30fb\u30b7\u30e7\u30fc\u30fb\u7814\u7a76\u7b49\u306e\u304a\u77e5\u3089\u305b<\/b><\/span><\/h3>\r\n<ul>\r\n \t<li>3\/20\uff08\u91d1\uff09\u3000\u65e5\u672c\u7406\u79d1\u6559\u80b2\u5b66\u4f1a\u30aa\u30f3\u30e9\u30a4\u30f3\u5168\u56fd\u5927\u4f1a2026\u300c<a href=\"https:\/\/phys-edu.net\/wp\/?p=60439\">\u6163\u6027\u306e\u6cd5\u5247\u306e\u6982\u5ff5\u5f62\u6210\u3092\u76ee\u6307\u3057\u305f\u63a2\u7a76\u7684\u306a\u5b66\u3073\u306e\u5b9f\u8df5\u300d<\/a>\u306b\u3064\u3044\u3066\u767a\u8868\u3057\u307e\u3057\u305f\u3002<\/li>\r\n \t<li>6\/14\uff08\u65e5\uff09\u3000\u5343\u8449\u5927\u5b66\u30a4\u30f3\u30b9\u30bf\u30ec\u30fc\u30b7\u30e7\u30f3\u300c\u63a2\u7a76\u300d\u306b\u3066\u8b1b\u5e2b\u3092\u52d9\u3081\u307e\u3059<\/li>\r\n \t<li>7\/18\uff08\u571f\uff09\u3000<a href=\"https:\/\/phys-edu.net\/wp\/?p=60018\">\u6559\u54e1\u5411\u3051\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\u300c\u30ca\u30ea\u30ab\u30ab\u30b5\u30a4\u30a8\u30f3\u30b9\u30a2\u30ab\u30c7\u30df\u30fc\u300d\u306e\u8b1b\u5e2b\u3092\u3057\u307e\u3059<\/a>\u3002\u304a\u4f1a\u3044\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\r\n \t<li>10\/10\uff08\u571f\uff09\u3000\u79d8\u5bc6\u5175\u5668\u300c\u5e2f\u96fb\u30ac\u30f3\u300d\u304c\u70b8\u88c2\uff01\u30d3\u30ea\u30d3\u30ea\uff01\u30c9\u30ad\u30c9\u30ad\uff01\u9759\u96fb\u6c17\u30b5\u30a4\u30a8\u30f3\u30b9\u30b7\u30e7\u30fc\uff20\u5343\u8449\u5e02\u79d1\u5b66\u30d5\u30a7\u30b9\u30bf\uff08\u5348\u5f8c\u4e88\u5b9a\uff09<\/li>\r\n \t<li><span style=\"text-align: center;\">\u5404\u7a2eSNS\u3000<\/span><a style=\"text-align: center;\" href=\"https:\/\/twitter.com\/kuwako\">X(Twitter)<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.instagram.com\/science_seeds\/\">instagram<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.facebook.com\/kuwakolab\/\">Facebook<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/bsky.app\/profile\/kagakunoneta.bsky.social\">BlueSky<\/a><span style=\"text-align: center;\">\uff0f<\/span><a style=\"text-align: center;\" href=\"https:\/\/www.threads.net\/@science_seeds?hl=ja\">Threads<\/a><\/li>\r\n<\/ul>\r\n<h3 style=\"text-align: center;\"><strong>Explore<\/strong><\/h3>\r\n<ul>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=30764\">\u697d\u3057\u3044\u5b9f\u9a13<\/a>\u2026\u304a\u5b50\u3055\u3093\u3068\u4e00\u7dd2\u306b\u5922\u4e2d\u306b\u306a\u308c\u308b\u30a4\u30c1\u30aa\u30b7\u306e\u79d1\u5b66\u5b9f\u9a13\u3092\u591a\u6570\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u9ad8\u6821\u7269\u7406\u306e\u7406\u89e3\u3092\u6df1\u3081\u308b\u305f\u3081\u306e\u52d5\u753b\u6559\u6750\u3082\u7528\u610f\u3057\u307e\u3057\u305f\u3002<\/li>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=798\">\u7406\u79d1\u306e\u6559\u6750<\/a>\u2026 \u7406\u79d1\u6559\u5e2b\u3092\u30d0\u30c3\u30af\u30a2\u30c3\u30d7\uff01\u6388\u696d\u306e\u8cea\u3092\u9ad8\u3081\u3001\u6e96\u5099\u3092\u52b9\u7387\u5316\u3059\u308b\u305f\u3081\u306e\u9078\u308a\u3059\u3050\u308a\u306e\u6559\u6750\u3092\u7d39\u4ecb\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\r\n \t<li><a href=\"https:\/\/www.youtube.com\/c\/kkuwako\">Youtube<\/a>\u2026\u79d1\u5b66\u5b9f\u9a13\u7b49\u306e\u52d5\u753b\u3092\u914d\u4fe1\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\r\n \t<li><a href=\"https:\/\/music.youtube.com\/playlist?list=PLoK4ZvKN9S2NgpYIochcQs0aL-vrRB_Qw\">\u79d1\u5b66\u30e9\u30b8\u30aa<\/a>\u00a0\u2026\u79d1\u5b66\u30c8\u30d4\u30c3\u30af\u3092\u307b\u307c\u6bce\u65e5\u914d\u4fe1\u4e2d\uff01AI\u6280\u8853\u3092\u99c6\u4f7f\u3057\u3066\u4f5c\u6210\u3057\u305f\u300c\u8033\u3067\u697d\u3057\u3080\u79d1\u5b66\u300d\u3092\u304a\u5c4a\u3051\u3057\u307e\u3059\u3002<\/li>\r\n \t<li><a href=\"http:\/\/phys-edu.net\/wp\/?page_id=20940\">\u8b1b\u6f14<\/a>\u00a0\u2026\u5168\u56fd\u5404\u5730\u3067\u5b9f\u9a13\u8b1b\u7fd2\u4f1a\u30fb\u30b5\u30a4\u30a8\u30f3\u30b9\u30b7\u30e7\u30fc\u7b49\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002<\/li>\r\n \t<li><a href=\"http:\/\/phys-edu.net\/wp\/?page_id=37\">About<\/a>\u00a0\u2026\u300c\u79d1\u5b66\u306e\u30cd\u30bf\u5e33\u300d\u306e\u30b3\u30f3\u30bb\u30d7\u30c8\u3084\u3001\u904b\u55b6\u8005\u3067\u3042\u308b\u6851\u5b50\u7814\u306e\u30d7\u30ed\u30d5\u30a3\u30fc\u30eb\u30fb\u60f3\u3044\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/li>\r\n \t<li><a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">\u304a\u554f\u3044\u5408\u308f\u305b<\/a>\u00a0\u2026\u5b9f\u9a13\u6559\u5ba4\u306e\u3054\u4f9d\u983c\u3001\u57f7\u7b46\u30fb\u8b1b\u6f14\u306e\u76f8\u8ac7\u3001\u79d1\u5b66\u76e3\u4fee\u7b49\u306f\u3053\u3061\u3089\u306e\u30d5\u30a9\u30fc\u30e0\u304b\u3089\u304a\u5bc4\u305b\u304f\u3060\u3055\u3044\u3002<\/li>\r\n<\/ul>\r\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 has-dates wp-block-latest-posts\"><li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62137&#038;lang=hi\" aria-label=\"\u0915\u094d\u0937\u0923 \u092d\u0930 \u0915\u093e \u091a\u092e\u0924\u094d\u0915\u093e\u0930! \u092a\u093e\u0928\u0940 \u0915\u0947 \u0917\u0941\u092c\u094d\u092c\u093e\u0930\u0947 \u0915\u0947 \u0905\u0902\u0926\u0930 \u091b\u093f\u092a\u0947 \u201c\u091c\u0921\u093c\u0924\u094d\u0935 \u0915\u0947 \u0928\u093f\u092f\u092e\u201d \u0915\u094b \u092a\u0915\u0921\u093c\u094b!\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-06-4.40.41-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62137&#038;lang=hi\">\u0915\u094d\u0937\u0923 \u092d\u0930 \u0915\u093e \u091a\u092e\u0924\u094d\u0915\u093e\u0930! \u092a\u093e\u0928\u0940 \u0915\u0947 \u0917\u0941\u092c\u094d\u092c\u093e\u0930\u0947 \u0915\u0947 \u0905\u0902\u0926\u0930 \u091b\u093f\u092a\u0947 \u201c\u091c\u0921\u093c\u0924\u094d\u0935 \u0915\u0947 \u0928\u093f\u092f\u092e\u201d \u0915\u094b \u092a\u0915\u0921\u093c\u094b!<\/a><time datetime=\"2026-04-06T04:47:43+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62135&#038;lang=es\" aria-label=\"\u00a1Un milagro en un instante! \u00a1Atrapa la \u201cley de la inercia\u201d escondida dentro de un globo de agua!\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-06-4.40.41-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62135&#038;lang=es\">\u00a1Un milagro en un instante! \u00a1Atrapa la \u201cley de la inercia\u201d escondida dentro de un globo de agua!<\/a><time datetime=\"2026-04-06T04:47:27+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62133&#038;lang=fi\" aria-label=\"Hetkellinen ihme! Tartu vesipallon sis\u00e4\u00e4n k\u00e4tkeytyv\u00e4\u00e4n \u201chitauslakiin\u201d!\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-06-4.40.41-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62133&#038;lang=fi\">Hetkellinen ihme! Tartu vesipallon sis\u00e4\u00e4n k\u00e4tkeytyv\u00e4\u00e4n \u201chitauslakiin\u201d!<\/a><time datetime=\"2026-04-06T04:46:59+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62131&#038;lang=zh\" aria-label=\"\u77ac\u9593\u7684\u5947\u8e5f\uff01\u6293\u4f4f\u85cf\u5728\u6c34\u7403\u4e2d\u7684\u300c\u6163\u6027\u5b9a\u5f8b\u300d\uff01\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-06-4.40.41-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62131&#038;lang=zh\">\u77ac\u9593\u7684\u5947\u8e5f\uff01\u6293\u4f4f\u85cf\u5728\u6c34\u7403\u4e2d\u7684\u300c\u6163\u6027\u5b9a\u5f8b\u300d\uff01<\/a><time datetime=\"2026-04-06T04:46:34+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62129&#038;lang=ko\" aria-label=\"\uc21c\uac04\uc758 \uae30\uc801! \ubb3c\ud48d\uc120 \uc18d\uc5d0 \uc228\uaca8\uc9c4 \u2018\uad00\uc131\uc758 \ubc95\uce59\u2019\uc744 \ud3ec\ucc29\ud558\ub77c!\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-06-4.40.41-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62129&#038;lang=ko\">\uc21c\uac04\uc758 \uae30\uc801! \ubb3c\ud48d\uc120 \uc18d\uc5d0 \uc228\uaca8\uc9c4 \u2018\uad00\uc131\uc758 \ubc95\uce59\u2019\uc744 \ud3ec\ucc29\ud558\ub77c!<\/a><time datetime=\"2026-04-06T04:45:31+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62127&#038;lang=en\" aria-label=\"A Split-Second Miracle! Capture the \u201cLaw of Inertia\u201d Hidden Inside a Water Balloon!\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-06-4.40.41-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62127&#038;lang=en\">A Split-Second Miracle! Capture the \u201cLaw of Inertia\u201d Hidden Inside a Water Balloon!<\/a><time datetime=\"2026-04-06T04:45:14+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=33763\" aria-label=\"\u77ac\u9593\u306e\u5947\u8de1\uff01\u6c34\u98a8\u8239\u306e\u4e2d\u306b\u96a0\u308c\u305f\u300c\u6163\u6027\u306e\u6cd5\u5247\u300d\u3092\u6355\u307e\u3048\u308d\uff01\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2026-04-06-4.40.41-150x150.jpeg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=33763\">\u77ac\u9593\u306e\u5947\u8de1\uff01\u6c34\u98a8\u8239\u306e\u4e2d\u306b\u96a0\u308c\u305f\u300c\u6163\u6027\u306e\u6cd5\u5247\u300d\u3092\u6355\u307e\u3048\u308d\uff01<\/a><time datetime=\"2026-04-06T04:04:39+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67086\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62108&#038;lang=ko\" aria-label=\"\ub180\uc774\uac00 \ubc30\uc6c0\uc73c\ub85c \ubc14\ub00c\ub294 \uc21c\uac04! \uc2a4\ud53c\ub85c\uadf8\ub798\ud504 \ubb34\ub2ac\uc5d0 \uc228\uaca8\uc9c4 \u2018\uc218\ud559\uc758 \ub9c8\ubc95\u2019 (Desmos \ud504\ub85c\uadf8\ub798\ubc0d)\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62108&#038;lang=ko\">\ub180\uc774\uac00 \ubc30\uc6c0\uc73c\ub85c \ubc14\ub00c\ub294 \uc21c\uac04! \uc2a4\ud53c\ub85c\uadf8\ub798\ud504 \ubb34\ub2ac\uc5d0 \uc228\uaca8\uc9c4 \u2018\uc218\ud559\uc758 \ub9c8\ubc95\u2019 (Desmos \ud504\ub85c\uadf8\ub798\ubc0d)<\/a><time datetime=\"2026-04-05T05:28:14+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67085\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62106&#038;lang=en\" aria-label=\"The Moment Play Turns into Learning! The \u201cMagic of Math\u201d Hidden in Spirograph Patterns (Desmos Programming)\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43-150x150.jpg\" class=\"attachment-thumbnail size-thumbnail wp-post-image\" alt=\"\" style=\"\" \/><\/a><\/div><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/phys-edu.net\/wp\/?p=62106&#038;lang=en\">The Moment Play Turns into Learning! The \u201cMagic of Math\u201d Hidden in Spirograph Patterns (Desmos Programming)<\/a><time datetime=\"2026-04-05T05:28:07+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u67085\u65e5<\/time><\/li>\n<\/ul>&nbsp;","protected":false},"excerpt":{"rendered":"<p>Olen Ken Kuwako, tiedevalmentajasi. Jokainen p\u00e4iv\u00e4 on kokeilu. Muistatko lapsuudestasi ne niin kutsutut muotoi [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":33825,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","vkexunit_cta_each_option":"","footnotes":""},"categories":[1630],"tags":[],"class_list":["post-62110","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category--fi"],"jetpack_featured_media_url":"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/cbf4194cf48053221ba4517aed1ccb43.jpg","jetpack-related-posts":[{"id":57388,"url":"https:\/\/phys-edu.net\/wp\/?p=57388&lang=fi","url_meta":{"origin":62110,"position":0},"title":"Fysiikan synnytt\u00e4m\u00e4\u00e4 taidetta \u2014 uppoudu heiluriaallon lumoavaan kauneuteen","author":"\u6851\u5b50 \u7814","date":"2025\u5e7412\u670816\u65e5","format":false,"excerpt":"Olen Ken Kuwako, tiedekouluttaja. 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