{"id":92,"date":"2024-04-27T20:09:03","date_gmt":"2024-04-27T20:09:03","guid":{"rendered":"https:\/\/urff.app\/?page_id=92"},"modified":"2026-09-05T17:01:01","modified_gmt":"2026-09-05T17:01:01","slug":"zahlenfeld","status":"publish","type":"page","link":"https:\/\/urff.app\/en\/zahlenfeld\/","title":{"rendered":"Number field"},"content":{"rendered":"<p class=\"wp-block-paragraph\"><strong>a tool to promote the understanding of our number system from 10 to 1000<\/strong>.<\/p>\n\n\n\n<div class=\"urff-appbox\" style=\"display:flex;flex-wrap:wrap;align-items:center;gap:1rem;padding:1rem 1.25rem;margin:1.5rem 0;border:1px solid rgba(0,0,0,.12);border-radius:18px;background:rgba(0,0,0,.035)\">\n<a href=\"https:\/\/apps.apple.com\/de\/app\/zahlenfeld\/id1581386267\" target=\"_blank\" rel=\"noopener\" style=\"flex:0 0 auto;line-height:0\"><img decoding=\"async\" src=\"https:\/\/urff.app\/wp-content\/uploads\/2026\/09\/appicon-zahlenfeld-1581386267.jpg\" alt=\"App-Icon Zahlenfeld\" width=\"96\" height=\"96\" loading=\"lazy\" style=\"width:96px;height:96px;border-radius:22%;box-shadow:0 1px 4px rgba(0,0,0,.15)\"><\/a>\n<div style=\"flex:1 1 12rem;min-width:0\">\n<div style=\"font-weight:700;font-size:1.15em;line-height:1.3\"><a href=\"https:\/\/apps.apple.com\/de\/app\/zahlenfeld\/id1581386267\" target=\"_blank\" rel=\"noopener\" style=\"text-decoration:none\">Number field<\/a><\/div>\n<div style=\"font-size:.9em;opacity:.75;margin-top:.15em\">Christian Urff \u00b7 iPad<\/div>\n<\/div>\n<a href=\"https:\/\/apps.apple.com\/de\/app\/zahlenfeld\/id1581386267\" target=\"_blank\" rel=\"noopener\" style=\"flex:0 0 auto;display:inline-block;padding:.55em 1.1em;border-radius:999px;background:#0071e3;color:#fff;font-weight:600;font-size:.95em;text-decoration:none;white-space:nowrap\">Download from the App Store<\/a>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Das virtuelle Arbeitsmittel ist die Neuprogrammierung und Erweiterung der App \u201eZahlen bis 100\u201c.<br>The app allows you to display quantities and numbers on a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ten-Field,<\/li>\n\n\n\n<li>Twenty-field and on a<\/li>\n\n\n\n<li>Hundred field<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">can be displayed. In addition, an interactive number (changeable digit by digit), a number line, place value materials (Dienes blocks), and various verbal representations of numbers can be shown or hidden. Unlike the\u00a0<a href=\"http:\/\/www.lernsoftware-mathematik.de\/?page_id=2026\">Calculation Field<\/a>\u00a0This field is about the representation and rapid recognition of numbers and quantities in the hundreds field. This learning tool is particularly suitable for children who do not yet have a solid understanding of the place value system and still have difficulty counting numbers one by one.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The video presents the number field in the version of a hundred field.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Number pad app\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/6SBqAFK0deU?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>\n<\/div><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">Possible activities<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Grunds\u00e4tzlich ist der Einsatz der App im Unterricht dann sinnvoll, wenn das Kind bereits handelnde Erfahrung mit Mengen gemacht hat, also konkrete Mengen abgez\u00e4hlt, auf einem echten Feld gelegt hat, in Zehner geb\u00fcndelt, mit Stellenwertmaterial gelegt hat usw. Es soll den Kindern helfen, die dahinterliegende Struktur von Zahlen zu erforschen und auch die Unterscheidung zwischen Zehnern und Einern zu begreifen. Beispielsweise k\u00f6nnen dazu folgende \u00dcbungen durchgef\u00fchrt werden:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Place a given number on the field as quickly as possible (by clicking on the corresponding field). You can check the result yourself by covering the number (pulling up the cover).<\/li>\n\n\n\n<li><strong>Flash view exercise<\/strong>: Quickly name the corresponding numerical value for a given quantity.<\/li>\n\n\n\n<li>Von einer vorgegebenen bzw. gelegten Zahl soll mit m\u00f6glichst wenigen Klicks die Menge so ver\u00e4ndert werden, dass eine neue Menge entsteht. Dies kann auf der ikonischen Ebene (durch Einf\u00fcgen bzw. L\u00f6schen von Pl\u00e4ttchen) oder auch auf der symbolischen Ebene (durch Ver\u00e4nderung der Stellenwertezahlen durch Hoch- und Runterziehen der Zahlen) geschehen. Ziel ist es, m\u00f6glichst geschickt das Einf\u00fcgen\/Entfernen in Zehnerportionen zu nutzen.<\/li>\n\n\n\n<li>Find out by trial and error which regular action underlies an operative series of numbers (e.g. 12, 22, 32, 42, ...).<\/li>\n\n\n\n<li><strong>compare number words<\/strong>Show the number word and the logical number word. Form the number 54. Compare both ways of writing it. How does the logical number word work? Which one do you find easier to read? Why? <\/li>\n\n\n\n<li><strong>Courses of action<\/strong> <strong>document<\/strong> <strong>(Number range)<\/strong> <strong>1000):<\/strong> Turn on the arrow display. Try to get from 200 to 365. How many steps does it take? Is there a shorter way? Press the restart button and try a different approach.<\/li>\n\n\n\n<li>Display only the place value material and increment the tens. What happens when the tenth tens rod is inserted?<\/li>\n\n\n\n<li>\u2026<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Have fun experimenting and learning with the app!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a&nbsp;<strong>Task card<\/strong>&nbsp;, I am collecting teaching ideas for using the app (almost in german language, sorry). So far, these are more like rough ideas that will be further developed and refined, and they will also be supplemented with templates, interactive exercises, and explanatory videos. I would be very happy if others would also post their ideas on the board through the plus sign or use the comment function, creating a collection of exciting usage scenarios. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><iframe src=\"https:\/\/kmz-bsk.taskcards.app\/#\/board\/53de05f7-4ab3-4e0a-ba2f-a7cff7614584\" style=\"border:0px;width:100%;height:500px\" allowfullscreen=\"true\" webkitallowfullscreen=\"true\" mozallowfullscreen=\"true\">    <\/iframe><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Unfortunately only for iOS \/ macOS<\/strong><br>Die App ist leider nur f\u00fcr Apple-Ger\u00e4te verf\u00fcgbar. F\u00fcr andere Ger\u00e4te gibt es die <a href=\"https:\/\/www.lernsoftware-mathematik.de\/rechenfeld\/\">Rechenfeld-Webapp<\/a> mit reduziertem Funktionsumfang, die direkt im Browser l\u00e4uft (mehr dazu im Beitrag <a href=\"https:\/\/urff.app\/en\/rechenfeld-webapp\/\" data-type=\"post\" data-id=\"660\">Computing field as a web app<\/a>). Auch die \u00e4lteren <a href=\"http:\/\/www.lernsoftware-mathematik.de\/?p=1072\">online ausf\u00fchrbaren Rechenfelder<\/a> sind weiterhin verf\u00fcgbar.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A web version for displaying numbers up to 9999 is also available. Numbers can be set and displayed automatically. Ones are represented by tapping (also with multiple fingers simultaneously), tens by drawing a line (also possible with multiple fingers simultaneously), and hundreds by drawing a square\/rectangle.<br><a href=\"https:\/\/lernsoftware-mathematik.de\/zahlen\/\">https:\/\/lernsoftware-mathematik.de\/zahlen\/<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>ein Arbeitsmittel zur F\u00f6rderung des Verst\u00e4ndnisses unseres Zahlsystems von 10 bis 1000. Zahlenfeld Christian Urff \u00b7 iPad Im App Store laden Das virtuelle Arbeitsmittel ist die Neuprogrammierung und Erweiterung der App \u201eZahlen bis 100\u201c.Mit der App k\u00f6nnen Mengen und Zahlen auf einem dargestellt werden. Zudem ist noch eine interaktive Zahl (stellenweise ver\u00e4nderbar), eine Zahlenlinie, Stellenwertmaterial [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-92","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages\/92","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/comments?post=92"}],"version-history":[{"count":11,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages\/92\/revisions"}],"predecessor-version":[{"id":1336,"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/pages\/92\/revisions\/1336"}],"wp:attachment":[{"href":"https:\/\/urff.app\/en\/wp-json\/wp\/v2\/media?parent=92"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}