{"id":753,"date":"2017-07-07T09:54:31","date_gmt":"2017-07-07T13:54:31","guid":{"rendered":"http:\/\/sites.miamioh.edu\/edt222-2017\/?p=753"},"modified":"2018-05-24T22:12:46","modified_gmt":"2018-05-25T02:12:46","slug":"project-based-learning_altieri","status":"publish","type":"post","link":"https:\/\/sites.miamioh.edu\/edt222-2017\/2017\/07\/project-based-learning_altieri\/","title":{"rendered":"Project Based Learning_Altieri"},"content":{"rendered":"<hr \/>\n<p><b>Project Based Learning Lesson<\/b><\/p>\n<p><b>Content<\/b><b>: <\/b><span style=\"font-weight: 400\">\u00a0Geometry (could be a cross-curricular lesson with collaboration from visual arts, technology, and language arts courses)<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-755\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.49.27-AM-300x257.png\" alt=\"\" width=\"300\" height=\"257\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.49.27-AM-300x257.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.49.27-AM.png 457w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><b>Introduction<\/b><b>: <\/b><span style=\"font-weight: 400\">Students are always asking where they will see mathematics in the real world. \u00a0One huge example is within the visual arts. \u00a0There are many artists and mathematicians whose works flow into each other\u2019s fields of study (examples include M.C. Escher, Leonardo da Vinci, and George Hart). \u00a0This project allows students to think critically about the connections between visual arts and geometry and share out their knowledge and understanding with community members. \u00a0For this project students will work in mid-sized teams of about 4 students. \u00a0<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400\">This <\/span><a href=\"https:\/\/www.pinterest.com\/search\/pins\/?q=M.C.%20Escher&amp;rs=typed&amp;term_meta[]=M.C.%7Ctyped&amp;term_meta[]=Escher%7Ctyped\"><span style=\"font-weight: 400\">Pinterest link<\/span><\/a><span style=\"font-weight: 400\"> has some of M.C. Escher\u2019s artwork which showcases connections between arts and mathematics.<\/span><\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Student Learning Goals<\/b><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<ul>\n<ul>\n<li style=\"font-weight: 400\"><b>Key Knowledge &amp; Understanding: <\/b><span style=\"font-weight: 400\">\u00a0Students will be able to make connections between geometry concepts and visual arts. \u00a0Through the process they will also learn and build on their knowledge of geometry concepts and their ability to critically analyze artwork.<\/span><\/li>\n<\/ul>\n<\/ul>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Key Success Skills: <span style=\"font-weight: 400\">Students will learn to analyze and interpret artwork form the lense of geometry understanding. \u00a0They will communicate their understanding with their peers through collaboration and self-management, and they will create a public product to share their knowledge. \u00a0<\/span><\/b><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #000000\">Essential Project Design Elements<\/span><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #000000\">Challenge Problem or Question: <\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400\">How can we analyze artwork through the lense of geometry?<\/span><\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>Sustained Inquiry: <span style=\"font-weight: 400\">Throughout the year students will have time to connect their learning in Geometry to visual arts. \u00a0Their first task will be to take each unit of Geometry study and apply it to visual arts. \u00a0They can explore various art forms (conceptual arts, optical illusions, tessellations, perspective drawings, geometric abstraction, urban art, etc.), they can delve into artists whose work reflects geometrical knowledge, and they can learn from community members who interact with both art and mathematics (mathematics professors at local colleges, museum directors at the various city art museums, artists within the city, and Jackson School for the Arts directors and professors). \u00a0For each unit of study in Geometry, students will have time to explore these connections, take notes, collaborate, check in with the instructor, and begin to formulate ideas to answer their challenge question and begin designing their final product.<\/span><\/b><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #000000\">Authenticity:<\/span> <span style=\"font-weight: 400\">Revitalizing the city of Canton (where I teach) has been a goal of the city for the past few years. \u00a0One of the ways they are doing so is to put an emphasis on the arts. \u00a0New galleries have opened, the art museum has been expanded, urban murals have been commissioned, and arts in the city have been incorporated into nightlife events downtown. \u00a0It is important for students to understand the connections between mathematics and the real-world; and this assignment, to connect geometry with the arts, is authentic because students will be engaging in, and learning about, how visual art impacts the growth of their city. \u00a0\u00a0<\/span><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #000000\">Student Voice &amp; Choice:<\/span> \u00a0<span style=\"font-weight: 400\">Students have the autonomy to explore the connections between geometry and art, reach out to local experts, \u00a0and design their final public product. \u00a0Students will work collaboratively, but will each be personally responsible for their work on the project.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #000000\">Reflection:<\/span> \u00a0<span style=\"font-weight: 400\">Throughout the lesson students will have the opportunity to reflect on their work (this may be in the form of written reflections, journal prompts, or responding to teacher prompting). \u00a0Students will use these reflections to edit and revise their work and continue to build their understanding.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #000000\">Critique &amp; Revision:<\/span> <span style=\"font-weight: 400\">Once per 9-week period, students will create a post-it poster with their ideas, processes, and goals for their project. \u00a0They will do this during class time. \u00a0They will then hang their team\u2019s work around the room and participate in a critique process called a gallery walk. \u00a0During the gallery walk all students will explore the ideas of other teams. \u00a0Each student will have a set of sticky notes to write down \u201ccool\u201d and \u201cwarm\u201d feedback for other teams. \u00a0They will post these sticky notes to other posters. \u00a0Then each team can look at the feedback from their peers to make revisions. \u00a0The gallery walk is silent and allows students to reflect, learn from, and provide feedback to their peers.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #000000\">Public Product:<\/span> \u00a0<span style=\"font-weight: 400\">Students have a choice in their public product. \u00a0Their goal is to create a product that will raise awareness of the connections between geometry and visual arts, while also showcasing the content and connections that they explored and learned. \u00a0Some students may elect to create pamphlets for the local art museum to give to customers on <\/span><i><span style=\"font-weight: 400\">First Friday<\/span><\/i><span style=\"font-weight: 400\"> (an event downtown), other students may choose to create an online art gallery of their own to be shared with members of the community, and some students may want to create their own google map walking tour or podcast of the city and the geometric art connections that can be made throughout Canton. \u00a0The choice is up to the student teams and the teacher can help to facilitate and assist in finding resources for student use.<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-756\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.51.46-AM-300x210.png\" alt=\"\" width=\"300\" height=\"210\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.51.46-AM-300x210.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.51.46-AM.png 548w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><span style=\"font-weight: 400\">The connections between arts and mathematics are important. \u00a0The following tweet from Edutopia illustrates the importance of embedding Arts into STEM to become STEAM.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-754\" src=\"http:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.46.09-AM-300x191.png\" alt=\"\" width=\"300\" height=\"191\" srcset=\"https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.46.09-AM-300x191.png 300w, https:\/\/sites.miamioh.edu\/edt222-2017\/files\/2017\/07\/Screen-Shot-2017-07-07-at-9.46.09-AM.png 587w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><a href=\"https:\/\/twitter.com\/edutopia\"><span style=\"font-weight: 400\">Edutopia on twitter <\/span><\/a><span style=\"font-weight: 400\">also has other great ideas for incorporating PBL lessons into classrooms of all content areas.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><b>Some Resources for students:<\/b><\/p>\n<p><a href=\"http:\/\/cantonartsdistrict.com\/\">Canton Arts District<\/a><\/p>\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/List_of_mathematical_artists\"><span style=\"font-weight: 400\">Artists who use Geometry<\/span><\/a><\/p>\n<p><a href=\"http:\/\/www.ranker.com\/list\/famous-geometric-abstract-art-artists\/reference\"><span style=\"font-weight: 400\">Famous Geometric Abstract Artists<\/span><\/a><\/p>\n<p><a href=\"http:\/\/artcuratorforkids.com\/artworks-that-use-shape\/\"><span style=\"font-weight: 400\">Artworks that use Shape<\/span><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Project Based Learning Lesson Content: \u00a0Geometry (could be a cross-curricular lesson with collaboration from visual arts, technology, and language arts courses) Introduction: Students are always asking where they will see mathematics in the real world. \u00a0One huge example is within &hellip; <a href=\"https:\/\/sites.miamioh.edu\/edt222-2017\/2017\/07\/project-based-learning_altieri\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2096,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[2],"tags":[164,74,72,128],"class_list":["post-753","post","type-post","status-publish","format-standard","hentry","category-pbl","tag-art","tag-lesson-plans","tag-mathematics","tag-project-based-learning"],"_links":{"self":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/753","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/users\/2096"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/comments?post=753"}],"version-history":[{"count":1,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/753\/revisions"}],"predecessor-version":[{"id":757,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/posts\/753\/revisions\/757"}],"wp:attachment":[{"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/media?parent=753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/categories?post=753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.miamioh.edu\/edt222-2017\/wp-json\/wp\/v2\/tags?post=753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}