[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-593345-105":59,"doc-detail-593345-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","development-of-critical-thinking-through-the-creation-of-mathematical-problems","Development of Critical thinking through the Creation of Mathematical Problems","","Development of critical thinking through task creation in mathematics is explored by connecting creativity with the formulation and questioning process. The paper explains how broader assigned tasks and complex problems can generate new data and knowledge that foster critical thinking. It focuses on problem posing and developing tasks using Bloom’s taxonomy and criterion-referenced testing requirements, including the creation process, evaluation methods, test compilation, and student diagnosis.",{"@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/development-of-critical-thinking-through-the-creation-of-mathematical-problems/593345/",{"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/development-of-critical-thinking-through-the-creation-of-mathematical-problems/593345.png","ImageObject",300,407,{"name":92,"@type":93},"Elsa","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-15",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What relationship does the paper describe between creativity and critical thinking in mathematics?","Question",{"text":112,"@type":113},"Creativity in mathematics is described as a process involving identifying missing elements, formulating and verifying hypotheses, and drawing conclusions. The paper links critical thinking to creativity through the way questions are formulated and asked.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does the paper connect task creation with Bloom's taxonomy?",{"text":117,"@type":113},"The paper states that problem posing and the development of tasks are carried out based on Bloom’s taxonomy and criterion testing requirements, so assignments match precisely defined criteria.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the purpose of criterion tests mentioned in the document?",{"text":121,"@type":113},"Criterion tests reflect a student’s absolute performance in a defined content area, assessing the level the student controls—from the lowest to the highest—without ranking against other pupils.","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},593345,1792172386,{"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":39,"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},137455077381,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Development of Critical thinking through the Creation of  \nMathematical Problems  \nBy Valéria Švecová ∗, Marta Balgová ± & Veronika Uhríková °  \nThrough creative thinking, it is possible to acquire new attitudes and a view of the world, not only of mathematics but from several sides (Kamp, 2016). Creativity in mathematics can be defined as a process based on sensitivity to problems, deficiencies, gaps in knowledge and sensitivity to identifying missing elements, revealing difficulties in finding solutions, making estimates, formulating hypotheses, and verifying them and then forming a conclusion (Mann, 2006). The concept of critical thinking is closely related to creativity. Its essence, not only in mathematics, lies in the way of formulating and asking questions. Broader assigned tasks or complex problems lead students to new data and knowledge, which naturally creates the ability to think critically. The paper focuses on problem posing and the development of critical thinking through the creation of tasks based on Bloom's taxonomy and criterial testing requirements. Part of the paper will also be a description of the process of creating math problems, their evaluation, compiling a test based on various criteria, diagnosing students based on the results and proposing further work with students.  \nIntroduction  \nNowadays, when, among other things, emphasis is placed on testing students in different grades of elementary school, teachers are also required to have a creative approach to creating assignments. Creating tasks is a creative and demanding process, especially if it is necessary to create tasks according to precisely defined criteria, e.g. Bloom's taxonomy. In practice, we encounter that teachers have a problem with this activity. Therefore, we consider it necessary to emphasize the creation of tasks already in the training of mathematics teachers, whether in the 1stor 2nd grade of elementary schools.  \nThrough creative thinking, the solver/student acquires new attitudes and insight into the world, not only mathematics, but from several sides (Kamp, 2016). Creativity in mathematics can be defined as a process based on sensitivity to problems, deficiencies, gaps in knowledge, and sensitivity to identifying missing elements, revealing difficulties in finding solutions, making estimates, formulating hypotheses, and verifying them, and then forming a conclusion (Mann, 2006). The concept of critical thinking is closely related to creativity. Its essence, not only in mathematics, lies in the way of formulating and asking questions. Broader assigned tasks or complex problems lead pupils/students to new data and knowledge, which naturally creates the ability to think critically.  \nIn the PISA monitoring of mathematical literacy, Slovak students achieve longterm results below the OECD average (PISA, 2018). Slovakia as well as some other  \n∗Assistant Professor, Constantine the Philosopher University in Nitra, Slovakia.  \n±Department of Evaluation and monitoring of Education, NIVAM Bratislava, Slovakia.  \n°Elementary School with Kindergarten, Slovakia.  \ncountries, e.g. Denmark responded to thePISSA results by introducing a set of national tests (Andersen & Nielsen, 2016). So far, nationwide measurements of pupils'educational results in mathematics have been implemented in the Slovak Republic with the aim of maximum objectivity and differentiated assessment of pupils'performances-normative tests. They are comparative tests, the aim of which is to create a ranking of the tested students according to their success in the given test. Part of the ongoing education reform in Slovakia will also be innovation in the evaluation of educational results, primarily using criterion-referenced tests. In Sweden, research was conducted to examine the relationship between TIMMS testing and Swedish national measures. The result is a very strong correlation between the two tests, meaning that ifa student was successful in the national testing, they ","cbCaitqCJrdNIhfE","https://ap.wps.com/l/cbCaitqCJrdNIhfE","pdf",359068,15,"English","# Introduction\n## Creativity and critical thinking in mathematics\n## Criterion-referenced testing and evaluation goals","[{\"question\":\"What relationship does the paper describe between creativity and critical thinking in mathematics?\",\"answer\":\"Creativity in mathematics is described as a process involving identifying missing elements, formulating and verifying hypotheses, and drawing conclusions. The paper links critical thinking to creativity through the way questions are formulated and asked.\"},{\"question\":\"How does the paper connect task creation with Bloom's taxonomy?\",\"answer\":\"The paper states that problem posing and the development of tasks are carried out based on Bloom’s taxonomy and criterion testing requirements, so assignments match precisely defined criteria.\"},{\"question\":\"What is the purpose of criterion tests mentioned in the document?\",\"answer\":\"Criterion tests reflect a student’s absolute performance in a defined content area, assessing the level the student controls—from the lowest to the highest—without ranking against other pupils.\"}]","Development of Critical thinking through the Creation of Mathematical Problems | PDF",1792077095,38]