[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-588130-105":59,"doc-detail-588130-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","investigating-geometric-habits-of-mind-by-using-paper-folding-action-research","Investigating Geometric Habits of Mind by Using Paper Folding - Action Research","","Paper folding is examined as an effective approach for developing students’ visual and spatial skills and, more specifically, their geometric habits of mind. This action research investigates whether folding activities can strengthen 11th-grade students’ geometric thinking and improve performance on national-exam style tasks. Four geometry questions are solved using paper folding, with the solution process video-recorded and qualitatively analyzed through geometric habits of mind components. Results show easier access to solutions and preserved triangle invariants.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/investigating-geometric-habits-of-mind-by-using-paper-folding-action-research/588130/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/investigating-geometric-habits-of-mind-by-using-paper-folding-action-research/588130.png","ImageObject",300,407,{"name":92,"@type":93},"Aditya","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-15",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main purpose of the study on paper folding?","Question",{"text":112,"@type":113},"The study investigates whether paper folding can improve students’ geometric thinking skills and enhance their achievement on national exams.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How was student performance and thinking analyzed?",{"text":117,"@type":113},"Four geometry questions were solved using paper folding; the solution process was video-recorded, transcribed, and qualitatively analyzed using the framework of geometric habits of mind components.",{"name":119,"@type":110,"acceptedAnswer":120},"What key learning outcome did the researchers observe?",{"text":121,"@type":113},"Students could more easily reach solutions by concretizing abstract problems, and they were able to understand that the main components of triangles remain invariant.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},588130,1792210070,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},962085564549,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","INVESTIGATING GEOMETRIC HABITS OF MIND BY USING  \nPAPER FOLDING  \nMustafa Çağrı Gürbüz, Murat Ağsu, Hatice Kübra Güler  \nAbstract: Paper folding studies are quite effective in the development of students’ visual and spatial skills. The “paper” used in these studies is a genuine tool that can support the development of geometric habits of mind as well as the visual-spatial skills. This is an action research aimed to investigate the potential of paper folding to improve students’ geometric thinking skills and to enhance their achievement in national exams. The improvement in their geometric thinking was investigated based on the framework of the Geometric Habits of Mind. This study was carried outwith three students studying in the 11th grade. Four geometry questions were asked to students, and they were expected to solve these questions by paper folding. The solution process was videorecorded. Video-recordings were transcribed, and the obtained data were qualitatively analyzed within the framework of the components of the geometric habits of mind. As a result of the study, it was seen that the students were able to reach solutions more easily by concretizing the intangible questions through paper folding. The students were able to comprehend the fact that the main components of triangles don’t change; that is, they are preserved (the angles and the sides do not change) .  \nKey words: geometrical thinking, geometric habits of mind, investigating invariants, paper folding  \n1. Introduction  \nSchool geometry includes concepts associated with each other, systems of axiomatic notation, and mathematical reasoning methods of the relations and transformations of spatial objects (Crompton, 2017) . NCTM (2000), when explaining the standards of the geometry programs, indicated that all students from kindergarten to twelfth grade should be able to define spatial relations and that students’use of their visual-spatial skills in the process of solving geometry problems would positively affect the perpetuity of instruction. However, in Turkey, it is seen that despite the revision of the curriculum at the quality of a reform, the visual-spatial skills neither in the teaching-learning activities in the classroom nor in the evaluation process received the due gratitude (Sevimli et al., 2008) . Clements and Battista (1992) stated that because achievement in geometry and visual-spatial skills had strong connections with each other, it was necessary that they should be integrated into the instructional curriculum and that various activities, which would improve students’ such skills, should be brought into the classroom environment. The fact that visual support in problems related to geometric shapes affect success in a positive way brings forth the importance of the process of conversion of conceptrelated mental representations to visual representations (Dreyfus, 1991) . It is also thought that the richness of students’ concept image related to geometric shapes and their interactions between shapes and mathematical knowledge can positively affect their spatial skill development (Arcavi, 2003) . In recent years in Turkey, the types of questions that require students to use their visual-spatial skills and geometrical thinking have been encountered in national examinations. These questions were used in the Student Selection Examination (SSE) in 2002, SSE in 2007, the Transition to Higher Education Examination (THEE) in 2011, the Undergraduate Placement Exam (UPE) in 2012, THEE in 2015, and THEE in 2017. These questions require imagination in the mind of the form the paper takes when folded, and they are the kind of questions that can be solved by the use of paper as a manipulative artefact. For example; students encountered a question like the following in 2017 THEE.  \nABCD rectangle with short edge 12 units and long edge 18 units was folded from the corners B and D along the lines AL and KC so that |KB| = |LD| = 4 units as seen in the figure.  \nNext","cbCaiieDbJ6FMawM","https://ap.wps.com/l/cbCaiieDbJ6FMawM","pdf",912220,18,"English","# Introduction\n## Theoretical Framework and Literature","[{\"question\":\"What is the main purpose of the study on paper folding?\",\"answer\":\"The study investigates whether paper folding can improve students’ geometric thinking skills and enhance their achievement on national exams.\"},{\"question\":\"How was student performance and thinking analyzed?\",\"answer\":\"Four geometry questions were solved using paper folding; the solution process was video-recorded, transcribed, and qualitatively analyzed using the framework of geometric habits of mind components.\"},{\"question\":\"What key learning outcome did the researchers observe?\",\"answer\":\"Students could more easily reach solutions by concretizing abstract problems, and they were able to understand that the main components of triangles remain invariant.\"}]","Investigating Geometric Habits of Mind by Using Paper Folding - Action Research | PDF",1792064585,45]