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The work also covers analogies within problems and problem-solving via basic theorems, general methods, and results derived from observed analogies.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/research-report/","Research & Report",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/analogical-reasoning-in-geometry-education-abstract-classification-and-exemplification/588565/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/analogical-reasoning-in-geometry-education-abstract-classification-and-exemplification/588565.png","ImageObject",300,407,{"name":42,"@type":43},"Rizky","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-10-15",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How is analogical reasoning used in everyday life and learning mathematics?","Question",{"text":63,"@type":64},"The text describes transfer as mobilizing knowledge and skills in new, similar situations, where similarities and analogies form a basis. It then argues that analogical reasoning supports learning abstract concepts and procedures, helping students connect mathematics with prior understanding and real-life contexts.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the novelty of the article’s approach?",{"text":68,"@type":64},"The article claims novelty in classifying geometrical analogies by reasoning type and providing exemplifications. The classification covers analogies for understanding and setting concepts, analogical concepts, analogical theorems and properties, and methods for solving problems through analogy.",{"name":70,"@type":61,"acceptedAnswer":71},"How does the article explain solving a problem through analogy?",{"text":72,"@type":64},"It introduces a scheme where solving a previously solved basic problem (BP) steps are recognized as an analogue to a target problem (P). The recognized analogue steps are transformed to match P, with possible new steps added, producing the final answer for P.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},588565,1792895683,{"code":4,"msg":82,"data":83},"success",[84,88,92,96,101,105,110,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":93,"show_sort_weight":94,"slug":95},"Exam",70,"exam",{"id":97,"doc_module":4,"doc_module_name":25,"category_name":98,"show_sort_weight":99,"slug":100},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":112,"slug":113},8,30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":97,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":111,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":123,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":144,"preview_page_count":4},962085564807,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","ANALOGICAL REASONING IN GEOMETRY EDUCATION  \nIoana Magdaş  \nAbstract: The analogical reasoning isn’t use only in mathematics but also in everyday life. In this article we approach the analogical reasoning in Geometry Education. The novelty of this article is a classification of geometrical analogies by reasoning type and their exemplification. Our classification includes: analogies for understanding and setting a geometrical concept, analogical concepts, analogical theorems and properties, analogies inside a problem, solving problems through analogy with a basic theorem or with a general method and mathematical results formulated by observing analogies.  \nKey words: Mathematics, Geometry, analogical reasoning  \n1. Introduction  \nIn everyday life we often do transfers because “the transfer is the demarche through which knowledge and skills acquired are mobilized and used in a new situation, more or less different from that in which they were learned”(Voiculescu, 2013, p. 67 cited. Scallon, 2004, p. 109) . It can be considered that“similarities and analogies are the transfer basis”(Voiculescu, 2013, p. 68). Polya (1965, p. 57) consider that “Analogy is a kind of similarity. Similar objects or things concur in certain aspects, analogical objects or things concur through certain analogue relationships of their component parts”. An analogical reasoning “is any type of thinking that relies upon an analogy. An analogical argument is an explicit representation of a form of analogical reasoning that cites accepted similarities between two systems to support the conclusion that some further similarity exists.”([http://plato.stanford.edu/entries/reasoning](http://plato.stanford.edu/entries/reasoning)analogy/) .  \nThe analogical reasoning isn’t use only in mathematics but also in everyday life. According to Richland, Holyoak and Stigler (2004, p. 37)“empirical researchers across disciplines have argued that analogical reasoning may be central to learning of abstract concepts (e.g., Brown & Kane, 1988; Gentner, Holyoak,& Kokinov, 2001), procedures (Goswami, 1992; Ross, 1987), novel mathematics (Bassok, 2001; Novick & Holyoak, 1991; Ross, 1987), and to the ability to transfer representations across contexts (Novick, 1988; Reed, Dempster, & Ettinger, 1985)”. At these aspects we can add that analogical reasoning develop competencies as: the skill of find known similar aspects in new situations, the skill to apply known things in a new situation, the skill of generalization. In this context the familiarization of using analogy as a specific method in mathematics has a lot of benefits not only mathematics but also in the real life activities.  \nIn our approach we start from the great Romanian mathematician Solomon Marcus statement (1987, p. 91): “Analogical reasoning is one of the most powerful tools of mathematical thinking. Unfortunately it is used in a very low measure in education. But any analogies economy must be compensated by an additional memory effort”. In this context the mathematics teacher role is to determine students to identify and use the analogue reasoning as much as possible in various contexts. In this article we approach the analogical reasoning in Geometry education. The novelty of this article is a classification of geometrical analogies by reasoning type and their exemplification. Our classification includes: analogies for understanding and setting a geometrical concept, analogical concepts, analogical theoremsand properties, analogies inside a problem, solving problems through analogy with a basic theorem or with a general method and mathematical results formulated by observing analogies.  \n2. The analogical reasoning in learning mathematics  \nFor students most often Mathematics seems to be a collection of disparate concepts and formulas. Mathematics is however a complex gear in which each concept is connected more or less visible with other mathematical concepts or with other sciences as well as with everyday life elem","cbCailVQN8pIXAoV","https://ap.wps.com/l/cbCailVQN8pIXAoV","pdf",628501,"English","# Introduction\n# The analogical reasoning in learning mathematics","[{\"question\":\"How is analogical reasoning used in everyday life and learning mathematics?\",\"answer\":\"The text describes transfer as mobilizing knowledge and skills in new, similar situations, where similarities and analogies form a basis. It then argues that analogical reasoning supports learning abstract concepts and procedures, helping students connect mathematics with prior understanding and real-life contexts.\"},{\"question\":\"What is the novelty of the article’s approach?\",\"answer\":\"The article claims novelty in classifying geometrical analogies by reasoning type and providing exemplifications. The classification covers analogies for understanding and setting concepts, analogical concepts, analogical theorems and properties, and methods for solving problems through analogy.\"},{\"question\":\"How does the article explain solving a problem through analogy?\",\"answer\":\"It introduces a scheme where solving a previously solved basic problem (BP) steps are recognized as an analogue to a target problem (P). The recognized analogue steps are transformed to match P, with possible new steps added, producing the final answer for P.\"}]","ANALOGICAL REASONING IN GEOMETRY EDUCATION - Abstract, classification, and exemplification | PDF",1792065506,25]