{"id":62255,"date":"2026-04-11T05:23:10","date_gmt":"2026-04-10T20:23:10","guid":{"rendered":"https:\/\/phys-edu.net\/wp\/?p=62255"},"modified":"2026-04-11T05:23:10","modified_gmt":"2026-04-10T20:23:10","slug":"reveal-the-true-nature-of-sound-experience-the-magic-of-wave-science-and-visualization-with-geogebra","status":"publish","type":"post","link":"https:\/\/phys-edu.net\/wp\/?p=62255&lang=en","title":{"rendered":"Reveal the True Nature of Sound! Experience the Magic of Wave Science and Visualization with GeoGebra"},"content":{"rendered":"<p style=\"text-align: center;\"><span style=\"color: #339966;\"><strong>I\u2019m Ken Kuwako, your science trainer. Every day is an experiment!<\/strong><\/span><\/p>\n<p>Our world is buzzing with &#8220;waves,&#8221; from the sounds we hear to the light we see. But in our daily lives, it\u2019s surprisingly hard to actually see the &#8220;vibrating air&#8221; that makes up these waves. Have you ever thought, &#8220;I learned about this in science class, but I just can&#8217;t picture it&#8221;? Today, I want to introduce a magical digital tool that solves that problem in an instant.<\/p>\n<h3>Visualizing the Invisible! The Amazing Power of GeoGebra<\/h3>\n<p>The tool I\u2019m talking about uses &#8220;GeoGebra,&#8221; a software for creating math and physics graphs that is loved by educators worldwide. It\u2019s particularly brilliant at helping students intuitively understand things like &#8220;string vibrations&#8221; or &#8220;air column vibrations&#8221; (like the air inside a flute)\u2014topics that many middle and high schoolers often struggle with.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33966 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63.jpg\" alt=\"\" width=\"445\" height=\"288\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63.jpg 1656w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-300x194.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-1024x663.jpg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-768x497.jpg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-1536x994.jpg 1536w\" sizes=\"auto, (max-width: 445px) 100vw, 445px\" \/><\/p>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" style=\"border: 1px solid #e4e4e4; border-radius: 4px;\" src=\"https:\/\/www.geogebra.org\/classic\/EJ8USu9q?embed\" width=\"800\" height=\"600\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p style=\"text-align: center;\">Vibrating String Simulation: <a style=\"text-align: center;\" href=\"https:\/\/www.geogebra.org\/m\/EJ8USu9q\">Standing Waves<\/a><\/p>\n<p>This fantastic simulator was created by Tom Walsh, a high school physics teacher in the United States. Since it was designed by a teacher in the classroom, it perfectly hits all the points where students usually say, &#8220;That\u2019s exactly what I wanted to see!&#8221;<\/p>\n<h3>The Fascinating Link Between Longitudinal and Transverse Waves<\/h3>\n<p>The best part of this tool is how it lets you switch between &#8220;longitudinal waves&#8221; (the actual physical movement) and their &#8220;transverse wave&#8221; representation (the wavy line graphs).<\/p>\n<p>Sound is a longitudinal wave, meaning it travels through air by creating areas where molecules are packed together (compression) and areas where they are spread out (rarefaction). However, because textbooks usually draw these as wavy lines, many students get confused.<\/p>\n<p>By playing with the parameters in this simulation, you can see exactly how the air vibrates and where it becomes most dense. Isn&#8217;t it exciting to feel like you&#8217;re actually &#8220;seeing&#8221; sound?<\/p>\n<h3>Ready for Class Tomorrow! Incredible Customization<\/h3>\n<p>This tool also supports more advanced learning.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-33967 aligncenter\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/7c87767ebb9c0942ddced779784443e9.jpg\" alt=\"\" width=\"676\" height=\"431\" srcset=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/7c87767ebb9c0942ddced779784443e9.jpg 1652w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/7c87767ebb9c0942ddced779784443e9-300x191.jpg 300w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/7c87767ebb9c0942ddced779784443e9-1024x653.jpg 1024w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/7c87767ebb9c0942ddced779784443e9-768x490.jpg 768w, https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/7c87767ebb9c0942ddced779784443e9-1536x980.jpg 1536w\" sizes=\"auto, (max-width: 676px) 100vw, 676px\" \/><\/p>\n<p>By using the menu at the bottom of the screen, you can freely adjust settings such as:<\/p>\n<p>How &#8220;standing waves&#8221; are formed<\/p>\n<p>&#8220;Fixed ends&#8221; (where the end of the air column is closed)<\/p>\n<p>&#8220;Free ends&#8221; (where the end of the air column is open)<\/p>\n<p>For example, if you&#8217;ve ever wondered, &#8220;How exactly does the air vibrate inside a flute?&#8221; you can simulate the answer instantly.<\/p>\n<h3>Hands-on Science on Your Tablet<\/h3>\n<p>One of the great things about GeoGebra is that it runs right in your browser\u2014no installation required. You can send the link to your students&#8217; tablets, and they can learn through trial and error, adjusting parameters to see how the wave shapes change. Instead of just memorizing facts, they can &#8220;interact and understand.&#8221; I highly recommend experiencing this kind of deep learning for yourself!<\/p>\n<h3>Inquiries and Requests<\/h3>\n<p>Let\u2019s bring the wonder and fun of science closer to home! I\u2019ve put together various fun experiments you can try at home and tips on how to make them work. Feel free to explore!<\/p>\n<p>My &#8220;Science Notebook&#8221; series is now a book! Details <a href=\"https:\/\/amzn.to\/42PMCEL\">here<\/a><\/p>\n<p>Learn more about Ken Kuwako <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=37\">here<\/a><\/p>\n<p>For work requests (writing, lectures, workshops, TV supervision\/appearances, etc.), click <a href=\"https:\/\/phys-edu.net\/wp\/?page_id=188\">here<\/a><br \/>\n<span class=\"s2\">&#8211; Get the latest updates on <a href=\"https:\/\/x.com\/kuwako\">X (formerly Twitter)<\/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> Watch experiment videos on the <a href=\"https:\/\/www.youtube.com\/user\/kkuwako?sub_confirmation=1\">Science Material Channel<\/a>!<\/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=62266&#038;lang=zh\" aria-label=\"\u63ed\u958b\u8072\u97f3\u7684\u771f\u9762\u76ee\uff01\u7528GeoGebra\u9ad4\u9a57\u300c\u6ce2\u7684\u79d1\u5b78\u300d\u8207\u8996\u89ba\u5316\u7684\u9b54\u6cd5\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-150x150.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=62266&#038;lang=zh\">\u63ed\u958b\u8072\u97f3\u7684\u771f\u9762\u76ee\uff01\u7528GeoGebra\u9ad4\u9a57\u300c\u6ce2\u7684\u79d1\u5b78\u300d\u8207\u8996\u89ba\u5316\u7684\u9b54\u6cd5<\/a><time datetime=\"2026-04-11T05:25:08+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670811\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62264&#038;lang=hi\" aria-label=\"\u0927\u094d\u0935\u0928\u093f \u0915\u093e \u0905\u0938\u0932\u0940 \u0930\u0942\u092a \u0909\u091c\u093e\u0917\u0930 \u0915\u0930\u0947\u0902! GeoGebra \u0915\u0947 \u0938\u093e\u0925 \u2018\u0924\u0930\u0902\u0917 \u0935\u093f\u091c\u094d\u091e\u093e\u0928\u2019 \u0914\u0930 \u0935\u093f\u091c\u093c\u0941\u0905\u0932\u093e\u0907\u091c\u093c\u0947\u0936\u0928 \u0915\u093e \u091c\u093e\u0926\u0942 \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0947\u0902\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-150x150.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=62264&#038;lang=hi\">\u0927\u094d\u0935\u0928\u093f \u0915\u093e \u0905\u0938\u0932\u0940 \u0930\u0942\u092a \u0909\u091c\u093e\u0917\u0930 \u0915\u0930\u0947\u0902! GeoGebra \u0915\u0947 \u0938\u093e\u0925 \u2018\u0924\u0930\u0902\u0917 \u0935\u093f\u091c\u094d\u091e\u093e\u0928\u2019 \u0914\u0930 \u0935\u093f\u091c\u093c\u0941\u0905\u0932\u093e\u0907\u091c\u093c\u0947\u0936\u0928 \u0915\u093e \u091c\u093e\u0926\u0942 \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0947\u0902<\/a><time datetime=\"2026-04-11T05:24:52+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670811\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62262&#038;lang=es\" aria-label=\"\u00a1Descubre la verdadera naturaleza del sonido! Vive la magia de la ciencia de las ondas y la visualizaci\u00f3n con GeoGebra\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-150x150.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=62262&#038;lang=es\">\u00a1Descubre la verdadera naturaleza del sonido! Vive la magia de la ciencia de las ondas y la visualizaci\u00f3n con GeoGebra<\/a><time datetime=\"2026-04-11T05:24:13+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670811\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62260&#038;lang=fi\" aria-label=\"Paljasta \u00e4\u00e4nen todellinen olemus! 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Experience the Magic of Wave Science and Visualization with GeoGebra\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-150x150.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=62255&#038;lang=en\">Reveal the True Nature of Sound! Experience the Magic of Wave Science and Visualization with GeoGebra<\/a><time datetime=\"2026-04-11T05:23:10+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670811\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62257&#038;lang=ko\" aria-label=\"\uc18c\ub9ac\uc758 \uc815\uccb4\ub97c \uc644\uc804\ud788 \ud30c\ud5e4\uce58\ub2e4! GeoGebra\ub85c \uccb4\ud5d8\ud558\ub294 \u2018\ud30c\ub3d9 \uacfc\ud559\u2019\uacfc \uc2dc\uac01\ud654\uc758 \ub9c8\ubc95\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-150x150.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=62257&#038;lang=ko\">\uc18c\ub9ac\uc758 \uc815\uccb4\ub97c \uc644\uc804\ud788 \ud30c\ud5e4\uce58\ub2e4! GeoGebra\ub85c \uccb4\ud5d8\ud558\ub294 \u2018\ud30c\ub3d9 \uacfc\ud559\u2019\uacfc \uc2dc\uac01\ud654\uc758 \ub9c8\ubc95<\/a><time datetime=\"2026-04-11T05:22:56+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670811\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=33965\" aria-label=\"\u97f3\u306e\u6b63\u4f53\u3092\u4e38\u88f8\u306b\uff01GeoGebra\u3067\u4f53\u9a13\u3059\u308b\u300c\u6ce2\u306e\u79d1\u5b66\u300d\u3068\u8996\u899a\u5316\u306e\u9b54\u6cd5\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63-150x150.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=33965\">\u97f3\u306e\u6b63\u4f53\u3092\u4e38\u88f8\u306b\uff01GeoGebra\u3067\u4f53\u9a13\u3059\u308b\u300c\u6ce2\u306e\u79d1\u5b66\u300d\u3068\u8996\u899a\u5316\u306e\u9b54\u6cd5<\/a><time datetime=\"2026-04-11T04:07:14+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670811\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62249&#038;lang=es\" aria-label=\"\u00bfDesvelar la magia con un tubo transparente? \u00a1Observa con tus propios ojos la ley de conservaci\u00f3n de la energ\u00eda! (\u00a1Tambi\u00e9n \u00fatil para medir la gravedad!)\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/b996698d56c3ca1ac4e35f8b92249486-150x150.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=62249&#038;lang=es\">\u00bfDesvelar la magia con un tubo transparente? \u00a1Observa con tus propios ojos la ley de conservaci\u00f3n de la energ\u00eda! (\u00a1Tambi\u00e9n \u00fatil para medir la gravedad!)<\/a><time datetime=\"2026-04-10T05:50:30+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670810\u65e5<\/time><\/li>\n<li><div class=\"wp-block-latest-posts__featured-image\"><a href=\"https:\/\/phys-edu.net\/wp\/?p=62247&#038;lang=fi\" aria-label=\"Voiko l\u00e4pin\u00e4kyv\u00e4 putki paljastaa taian? N\u00e4e energian s\u00e4ilymisen laki omin silmin! (Sopii my\u00f6s putoamiskiihtyvyyden mittaamiseen!)\"><img width=\"150\" height=\"150\" src=\"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/10\/b996698d56c3ca1ac4e35f8b92249486-150x150.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=62247&#038;lang=fi\">Voiko l\u00e4pin\u00e4kyv\u00e4 putki paljastaa taian? N\u00e4e energian s\u00e4ilymisen laki omin silmin! (Sopii my\u00f6s putoamiskiihtyvyyden mittaamiseen!)<\/a><time datetime=\"2026-04-10T05:50:15+09:00\" class=\"wp-block-latest-posts__post-date\">2026\u5e744\u670810\u65e5<\/time><\/li>\n<\/ul>&nbsp;","protected":false},"excerpt":{"rendered":"<p>I\u2019m Ken Kuwako, your science trainer. Every day is an experiment! Our world is buzzing with &#8220;waves,&#038;#822 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":33966,"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":[781],"tags":[],"class_list":["post-62255","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-science-en"],"jetpack_featured_media_url":"https:\/\/phys-edu.net\/wp\/wp-content\/uploads\/2019\/11\/e89f3f454d87a26d5e9e8212b0b70d63.jpg","jetpack-related-posts":[{"id":54653,"url":"https:\/\/phys-edu.net\/wp\/?p=54653&lang=en","url_meta":{"origin":62255,"position":0},"title":"Why Does a Motor Keep Spinning? 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