{"id":47286,"date":"2019-02-06T08:34:58","date_gmt":"2019-02-06T07:34:58","guid":{"rendered":"https:\/\/test.steinmuehle.de\/blog\/2019\/02\/06\/project-based-learning-measuring-the-world-mathematics-in-practice\/"},"modified":"2026-06-18T15:41:37","modified_gmt":"2026-06-18T13:41:37","slug":"project-based-learning-measuring-the-world-mathematics-in-practice","status":"publish","type":"post","link":"https:\/\/steinmuehle.de\/en\/blog\/2019\/02\/06\/project-based-learning-measuring-the-world-mathematics-in-practice\/","title":{"rendered":"Project-Based Learning: Measuring the World\u2014Mathematics in Practice"},"content":{"rendered":"<p>\u201cHow tall is the linden tree in our schoolyard?\u201d The 9th-grade students answered this question together with trainees from the Marburg Office of Land Management (AfB) during the \u201cMeasuring the World\u201d project-based learning session at Steinm\u00fchle. This collaboration between the professional world and the school has a long tradition. It took place for the ninth time and reached more than 200 students.   <\/p>\n<p>To measure the height of the schoolyard linden tree, the students set up an electronic tachymeter in the courtyard and used it to take precise measurements of the tree. Trainees Ronja Gies and Joshua Fedler from AfB Marburg had brought this professional measuring device with them. It is a measuring instrument that records horizontal directions (angles), vertical angles, and slant distances. Using the measurements and formulas from \u201cplane trigonometry\u201d (calculating unknown sides and angles in any plane triangle), the students calculated the height of the tree. The two trainees assisted them and answered their questions.    <\/p>\n<p>It didn\u2019t take long for the students to come up with the answer: \u201cThe linden tree is 13.81 meters tall\u2014so about 14 meters! That\u2019s hardly any different from the height we measured with our school theodolites,\u201d the students said. In the theoretical part of the lesson, the trainees from AfB Marburg asked the students where they had already encountered geodata\u2014that is, data related to the Earth\u2014in their daily lives. They then explained that the Earth is by no means a perfect sphere and covered everything from the Earth as a disk to a sphere, and on to the geoid and ellipsoid. This was followed by a brief historical overview of the Kurhessian Triangulation (1821\u20131839) and the work of the mathematician, astronomer, and physicist Christian Ludwig Gerling (July 10, 1788 \u2013 January 15, 1864) at the University of Marburg.   <\/p>\n<p>&nbsp;<\/p>\n<p><strong>Geodata Relevant to Public Policy<\/strong><\/p>\n<p>\u201cToday, geodata plays a key role in about 80 percent of all political decisions,\u201d said J\u00f6rg Lipphardt, a trainer at AfB Marburg. Lipphardt introduced the students to the apprenticeship program for geomatics technicians and provided information about the promising career prospects for high school graduates at the Hessian Administration for Land Management and Geoinformation (HVBG), as well as future opportunities in the field of geoinformation. <\/p>\n<p>In the \u201cProject-Based Learning\u201d core course at Steinm\u00fchle, students explore various topics through project-based work, engaging with the material in an action-oriented and hands-on manner. Incorporating a practical component with experts into the \u201cMeasuring the World\u201d project was the wish of math and biology teacher Malte Klimczak, who conceived the project a few years ago together with his colleague Nicole Scholtes and approached the AfB Marburg with the idea. <\/p>\n<p>\u201cWhat better way is there to help students understand the value of learning than by interacting with experts for whom trigonometry is a daily tool? Motivation to learn comes naturally,\u201d said Steffen Ullwer, the class\u2019s project teacher.<\/p>\n<p>\u201cFrom our perspective, it\u2019s actually a perfect example of a win-win situation,\u201d the trainees added. \u201cWe had to prepare for today, and in doing so, we were able to review material that will be covered in our exam later on.\u201d <\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u201cHow tall is the linden tree in our schoolyard?\u201d The 9th-grade students answered this question together with trainees from the Marburg Office of Land Management (AfB) during the \u201cMeasuring the World\u201d project-based learning session at Steinm\u00fchle. This collaboration between the professional world and the school has a long tradition. It took place for the ninth [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":47290,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"give_campaign_id":0,"footnotes":""},"categories":[85,105],"tags":[],"class_list":["post-47286","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news","category-stem"],"acf":[],"_links":{"self":[{"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/posts\/47286","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/comments?post=47286"}],"version-history":[{"count":1,"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/posts\/47286\/revisions"}],"predecessor-version":[{"id":48951,"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/posts\/47286\/revisions\/48951"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/media\/47290"}],"wp:attachment":[{"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/media?parent=47286"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/categories?post=47286"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/steinmuehle.de\/en\/wp-json\/wp\/v2\/tags?post=47286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}