Item view 1-50475587

/v1/ui/views/items/1-50475587.json?client=yle-areena-web&language=fi&v=10
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Cover image
Header Card Description: Sangen omituinen koulutusharppaus koettiin matematiikan opetuksessa 50 vuotta sitten, kun pikkulapsille alettiin perinteisen laskennon sijaan opettaa joukko-opin käsitteitä: alkioita, unioneja, täysiä ja tyhjiä joukkoja. Suomi ei ollut junassa yksin, vaan muutos sikisi suurvaltojen kilpavarustelusta ja säteili Sputnikista käsin kaikkialle Eurooppaan. Mittaustauko kysyy, mistä ihmeestä projektissa oli kyse, kuka sitä ajoi ja missä mentiin metsään. Olli Haapakangas mittailee joukko-opin mielekkyyttä Helsingin yliopiston matematiikan emeritusprofessori Juha Oikkosen kanssa. Sympaattisia kuulokuvia tarjoilee Matematiikka ja me- niminen televisio-ohjelma vuodelta 1975. 8 controls, 12 labels Card JSON { "controls": [ { "destination": { "type": "series", "uri": "yleareena://items/1-50418462" }, "icon": { "id": "chevron-left", "version": "1750676272" }, "style": { "iconPosition": "left", "variant": "tertiary" }, "tag": "series", "title": "Mittaustauko", "type": "navigator" }, { "audience": { "authenticated": false }, "destination": { "authentication": [ "yle-api" ], "uri": "https://areena.api.yle.fi/v1/ui/controls/play/1-50475587?language=fi&v=10&client=yle-areena-web" }, "tag": "play", "type": "reference" }, { "audience": { "authenticated": true }, "destination": { "authentication": [ "yle-api" ], "uri": "https://areena.api.yle.fi/v1/ui/controls/play/1-50475587?language=fi&v=10&client=yle-areena-web" }, "tag": "play", "type": "reference" }, { "analytics": {}, "destination": { "type": "program", "uri": "yleareena://items/1-50475587" }, "functionality": { "id": "queue" }, "tag": "queue", "type": "activator" }, { "analytics": {}, "destination": { "type": "program", "uri": "yleareena://items/1-50475587" }, "functionality": { "id": "share" }, "icon": { "id": "share", "version": "1750676272" }, "style": { "iconPosition": "left", "variant": "tertiary" }, "title": "Jaa ohjelma", "type": "activator" }, { "analytics": {}, "audience": { "authenticated": false }, "backgroundColor": "#00000000", "functionality": { "id": "login" }, "icon": { "id": "icon-favorite-off", "version": "1750676272" }, "style": { "iconPosition": "left", "variant": "tertiary" }, "title": "Lisää omalle listalle", "type": "activator" }, { "audience": { "authenticated": true }, "destination": { "authentication": [ "yle-api" ], "uri": "https://areena.api.yle.fi/v1/ui/controls/favorites/1-50418462?language=fi&v=10&client=yle-areena-web" }, "type": "reference" }, { "destination": { "uri": "https://yleawsaudioipv4.akamaized.net/mediaredirect/78-3d83950f3734436fb3b1730e7b2b4a84.mp3" }, "icon": { "id": "icon-download", "version": "1750676272" }, "tag": "downloadLink", "title": "Lataa tiedosto", "type": "navigator" } ], "description": "Sangen omituinen koulutusharppaus koettiin matematiikan opetuksessa 50 vuotta sitten, kun pikkulapsille alettiin perinteisen laskennon sijaan opettaa joukko-opin käsitteitä: alkioita, unioneja, täysiä ja tyhjiä joukkoja. \n\nSuomi ei ollut junassa yksin, vaan muutos sikisi suurvaltojen kilpavarustelusta ja säteili Sputnikista käsin kaikkialle Eurooppaan. Mittaustauko kysyy, mistä ihmeestä projektissa oli kyse, kuka sitä ajoi ja missä mentiin metsään.\n\nOlli Haapakangas mittailee joukko-opin mielekkyyttä Helsingin yliopiston matematiikan emeritusprofessori Juha Oikkosen kanssa. Sympaattisia kuulokuvia tarjoilee Matematiikka ja me- niminen televisio-ohjelma vuodelta 1975.", "image": { "id": "13-12-1023-4-1147922-main", "version": "1704966646" }, "labels": [ { "formatted": "17 min", "priority": 0, "raw": "PT1026S", "rawType": "duration", "type": "duration" }, { "formatted": "viihde", "priority": 0, "type": "generic" }, { "formatted": "tiede", "priority": 0, "type": "generic" }, { "formatted": "nokkela", "priority": 0, "type": "generic" }, { "formatted": "hauska", "priority": 0, "type": "generic" }, { "formatted": "julkaistu\nti 17.3.2020", "priority": 1, "raw": "2020-03-17T16:00:00+02:00", "rawType": "date", "type": "generic" }, { "formatted": "käynnistyskerrat\n9 352", "priority": 1, "type": "generic" }, { "formatted": "Ääniraidat: suomi stereo", "priority": 2, "type": "generic" }, { "formatted": "Kuunneltavissa ulkomailla", "priority": 2, "type": "generic" }, { "priority": 2, "raw": "world", "type": "region" }, { "priority": 2, "raw": "audio", "type": "mediaType" }, { "raw": "1-50475587", "type": "itemId" } ], "presentation": "onDemandCard", "type": "card" }
Tabs Tab 1 of 1 List Kuuntele myös, 20 cards Card Muurahaiset ja me Description: Muurahaisten sosiaalista elämää Pointer: 1-1841756 (series) 1 control, 1 label Card JSON { "controls": [ { "destination": { "authentication": [ "yle-api" ], "type": "player", "uri": "https://areena.api.yle.fi/v1/ui/players/1-1841756.json?language=fi&v=10&client=yle-areena-web" }, "icon": { "id": "icon-play", "version": "1750676272" }, "tag": "play", "type": "navigator" } ], "description": "Muurahaisten sosiaalista elämää", "image": { "id": "13-1-1841756-1568886576292", "version": "1750925552" }, "labels": [ { "raw": "1-1841756", "type": "itemId" } ], "pointer": { "type": "series", "uri": "yleareena://items/1-1841756" }, "presentation": "seriesCard", "title": "Muurahaiset ja me", "type": "card" } Card Lobbauksen historia Description: Magna Cartasta Rasputiniin Pointer: 1-3867114 (series) 1 control, 1 label Card JSON { "controls": [ { "destination": { "authentication": [ "yle-api" ], "type": "player", "uri": "https://areena.api.yle.fi/v1/ui/players/1-3867114.json?language=fi&v=10&client=yle-areena-web" }, "icon": { "id": "icon-play", "version": "1750676272" }, "tag": "play", "type": "navigator" } ], "description": "Magna Cartasta Rasputiniin", "image": { "id": "13-1-3867114", "version": "1731308813" }, "labels": [ { "raw": "1-3867114", "type": "itemId" } ], "pointer": { "type": "series", "uri": "yleareena://items/1-3867114" }, "presentation": "seriesCard", "title": "Lobbauksen historia", "type": "card" } Card Kehä vitonen Description: Pitkän päivän matka yöhön Pointer: 1-66148650 (series) 1 control, 1 label Card JSON { "controls": [ { "destination": { "authentication": [ "yle-api" ], "type": "player", "uri": "https://areena.api.yle.fi/v1/ui/players/1-66148650.json?language=fi&v=10&client=yle-areena-web" }, "icon": { "id": "icon-play", "version": "1750676272" }, "tag": "play", "type": "navigator" } ], "description": "Pitkän päivän matka yöhön", "image": { "id": "13-1-66148650-1687248559161", "version": "1769754989" }, "labels": [ { "raw": "1-66148650", "type": "itemId" } ], "pointer": { "type": "series", "uri": "yleareena://items/1-66148650" }, "presentation": "seriesCard", "title": "Kehä vitonen", "type": "card" } List JSON { "analytics": { "player_context": { "yle": { "ptype": "rec" } } }, "audience": { "subAccount": false }, "controls": [], "filters": [], "presentation": "cover-strip", "source": { "authentication": [ "yle-api" ], "uri": "https://areena.api.yle.fi/v1/ui/content/list?token=eyJ0eXAiOiJKV1QiLCJhbGciOiJIUzI1NiJ9.eyJzb3VyY2UiOiJodHRwczovL2FyZWVuYS1yZWNvbW1lbmRhdGlvbnMuYXBpLnlsZS5maS92MS9yZWNvbW1lbmRhdGlvbnMvaXRlbS8xLTUwNDc1NTg3P21lZGl1bT1hdWRpbyZmYWxsYmFja19jYXRlZ29yeV93aGl0ZWxpc3Q9MzEtMS00IiwiY2FyZE9wdGlvbnNUZW1wbGF0ZSI6InJlY29tbWVuZGF0aW9uc0Zvckl0ZW1zIiwiYW5hbHl0aWNzIjp7InBsYXllcl9jb250ZXh0Ijp7InlsZSI6eyJwdHlwZSI6InJlYyJ9fX19.-UqA0pYzxaYDtbBVhaWgnZX3PyNnNmQhCMGnTdA_wN0&crop=20&language=fi&v=10&client=yle-areena-web" }, "style": { "image": "1:1", "layout": "horizontal", "size": "medium" }, "title": "Kuuntele myös", "type": "list" } JWT payload { "analytics": { "player_context": { "yle": { "ptype": "rec" } } }, "cardOptionsTemplate": "recommendationsForItems", "source": "https://areena-recommendations.api.yle.fi/v1/recommendations/item/1-50475587?medium=audio&fallback_category_whitelist=31-1-4" } Card response meta JSON { "analytics": { "context": { "yle": { "recommendation_id": "c502bd50-fa86-4d69-9712-fefe9af5b7a6", "recommendation_method": "beta_similar_combined", "source_url": "https://areena-recommendations.api.yle.fi/v1/recommendations/item/1-50475587?medium=audio&fallback_category_whitelist=31-1-4&offset=0&limit=3" } }, "player_context": { "yle": { "ptype": "rec" } } }, "cardOptionsTemplate": "recommendationsForItems", "count": 20, "expires": "2026-07-12T20:02:34Z", "limit": 3, "offset": 0 } Tab JSON { "content": [ { "analytics": { "player_context": { "yle": { "ptype": "rec" } } }, "audience": { "subAccount": false }, "controls": [], "filters": [], "presentation": "cover-strip", "source": { "authentication": [ "yle-api" ], "uri": "https://areena.api.yle.fi/v1/ui/content/list?token=eyJ0eXAiOiJKV1QiLCJhbGciOiJIUzI1NiJ9.eyJzb3VyY2UiOiJodHRwczovL2FyZWVuYS1yZWNvbW1lbmRhdGlvbnMuYXBpLnlsZS5maS92MS9yZWNvbW1lbmRhdGlvbnMvaXRlbS8xLTUwNDc1NTg3P21lZGl1bT1hdWRpbyZmYWxsYmFja19jYXRlZ29yeV93aGl0ZWxpc3Q9MzEtMS00IiwiY2FyZE9wdGlvbnNUZW1wbGF0ZSI6InJlY29tbWVuZGF0aW9uc0Zvckl0ZW1zIiwiYW5hbHl0aWNzIjp7InBsYXllcl9jb250ZXh0Ijp7InlsZSI6eyJwdHlwZSI6InJlYyJ9fX19.-UqA0pYzxaYDtbBVhaWgnZX3PyNnNmQhCMGnTdA_wN0&crop=20&language=fi&v=10&client=yle-areena-web" }, "style": { "image": "1:1", "layout": "horizontal", "size": "medium" }, "title": "Kuuntele myös", "type": "list" } ], "type": "tab" }
Title Me ollaan alkioita kaikki jos oikein joukkoon katsotaan
Type view