{"id":890,"date":"2026-06-30T13:51:58","date_gmt":"2026-06-30T13:51:58","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/do-we-learn-with-mistakes\/"},"modified":"2026-06-30T14:41:27","modified_gmt":"2026-06-30T14:41:27","slug":"do-we-learn-with-mistakes","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/en\/do-we-learn-with-mistakes\/","title":{"rendered":"Do we learn with mistakes?"},"content":{"rendered":"<p><em>Michaela Hole\u0161ov\u00e1, V\u011bra Ferdi\u00e1nov\u00e1, Anton\u00edn Pol\u00e1ch<\/em><br \/>\n<small>KSMAM SvF UNIZA, \u017dilina<br \/>\nP\u0159F OU, Ostrava<\/small><\/p>\n<p>Working with errors represents one of the important trends in contemporary mathematics education, as it makes it possible to view errors not merely as undesirable outcomes, but as a natural part of the learning process. In geometry, and especially in the area of Monge projection, students\u2019 errors can provide valuable information about their level of understanding of spatial relationships, construction procedures, and their ability to transform a spatial situation into a planar representation.<br \/>\nThe contribution focuses on selected examples of errors made by students when solving tasks involving Monge projection. These errors will not be presented merely as failures in the solution process, but as didactically useful situations that can help the teacher identify students\u2019 misconceptions and respond to them in a targeted way.<br \/>\nThe contribution will also include proposals for ways of working with selected errors in teaching. We will show how an error can be used as a stimulus for discussion, for the development of argumentation, and for a deeper understanding of the principles of Monge projection. Emphasis will be placed on supporting students\u2019 active involvement, creating a safe environment for sharing incorrect solutions, and transforming errors into a tool for learning.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Michaela Hole\u0161ov\u00e1, V\u011bra Ferdi\u00e1nov\u00e1, Anton\u00edn Pol\u00e1ch KSMAM SvF UNIZA, \u017dilina P\u0159F OU, Ostrava Working with errors represents one of the important trends in contemporary mathematics education, as it makes it possible to view errors not merely as undesirable outcomes, but as a natural part of the learning process. In geometry, and especially in the area [&hellip;]<\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-890","post","type-post","status-publish","format-standard","hentry","category-presentations"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/890","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/users\/56"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/comments?post=890"}],"version-history":[{"count":1,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/890\/revisions"}],"predecessor-version":[{"id":891,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/890\/revisions\/891"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/media?parent=890"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/categories?post=890"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/tags?post=890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}