[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-588581-105":59,"doc-detail-588581-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","adults-learning-mathematics-what-we-should-know-about-betting-and-bookkeeping","Adults Learning Mathematics - What We Should Know About Betting and Bookkeeping?","","A concept for a basic mathematics course uses betting and bookkeeping as an authentic context to teach learners how to calculate odds, determine winnings and losses, and understand why bookmakers profit. Students simulate a sports event, explore different betting offices and odds, and then compute outcomes once results are fixed. Discovery teaching guides them to recognize mathematical facts and reflect on real-world implications, concluding that avoiding bets is better.",{"@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":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/adults-learning-mathematics-what-we-should-know-about-betting-and-bookkeeping/588581/",{"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/adults-learning-mathematics-what-we-should-know-about-betting-and-bookkeeping/588581.png","ImageObject",300,407,{"name":92,"@type":93},"Rizky","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-10-15",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What learning activity does the paper propose for teaching mathematics through betting?","Question",{"text":112,"@type":113},"Learners simulate a sports event, compare different types of betting offices and odds, place bets using game money, and then calculate wins and losses after results are fixed.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does the proposal help learners understand odds and bookmaker profits?",{"text":117,"@type":113},"By calculating odds and outcomes in the betting simulation, learners identify the mathematical facts and connect them to the knowledge bookmakers need to earn profits.",{"name":119,"@type":110,"acceptedAnswer":120},"What real-world conclusion does the paper encourage learners to draw?",{"text":121,"@type":113},"Reflecting on simulation results, learners consider the real-world impact and conclude that it is better to avoid bets.","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},588581,1792065535,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"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":129,"read_time":41,"preview_page_count":4},962085564807,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Adults Learning Mathematics: What We Should Know About Betting  \nand Bookkeeping?  \nJuergen Maasz  \nInstitute for Mathematics Education,  \nJohannes Kepler Universität  \nLinz, Austria  \n\u003C[juergen.maasz@jku.at](juergen.maasz@jku.at)>  \nHans-Stefan Siller  \nIFFB – Dept. for Mathematics & Informatics Education,  \nParis-Lodron-Universität Salzburg  \nSalzburg, Austria  \n\u003C[hans-stefan.siller@sbg.ac.at](hans-stefan.siller@sbg.ac.at)>  \nAbstract  \nA lot of people risk money with bets on sport events or other events. Bookkeepers that offer such bets earn a lot of money. We are making a proposal (more exactly: a concept for a part of a basic mathematics course) for learning mathematics behind the screen (internet bets are very popular) . Learners should organize a “sports event”(more precisely: some kind of simulation of such an event), find several different types of bet offices and offer odds. Other participants (learners) get game money and bet. When the event is over and the results are fixed the learners calculate wins and losses. So they learn how to calculate odds and why bookkeepers earn so much money – if the bookkeepers know enough about mathematics and other things they need to know. By considering discovery-teaching-methods students should recognize the mathematical facts while thinking about bets and odds. Reflecting the results learners learn something important about the real world: It is better to avoid bets!  \nKey words: betting, bookkeeping, gambling, real world mathematics, modelling, propability.  \nStarting point: Some facts about gambling, money and risks  \nThe German word “Spiel”(= game and play) is a word that covers miscellaneous denotations. It is possible that this word focuses on children playing as well as activities including sports games, [e.g. tennis](e.g. tennis), strategic games, e.g. chess, card games, poker or games in which fortune or destiny as well as professional knowledge could be responsible for winning or losing money, e.g. gambling. If you are interested in different denotations of that word you should have a look for [http://www.spielforschung.at and click](http://www.spielforschung.at and click) ‘Publikationen’ in the menu.  \nOur goal in this paper is to concentrate on games where you can win or lose money, especially when you are in a betting situation of a sports event, like betting on the winner of a tennis match or a soccer championship. Someone could ask why it is necessary to tell students such things in classroom. We think that this topic is a very authentic one (see Bewersdorf, 1998 or Büchter & Henn, 2004), so that students have the possibility to discuss a real-life-problem  \n52 Adults Learning Mathematics – An International Journal  \nwhich could be found in their near environment (Burkhardt, 1981; Pollak, 1997; Stillman & Galbraith, 1998) . Another important point for us is that students should become critical persons who are able to use mathematics as decision support. So talking about such a topic in education gets an ethical aspect (D'Ambrosio, 1985, 1999; Powell & Frankenstein, 1997) . When we did some literature research for this we were very astonished how much money is spent, and in succession earned through such betting games especially in the World Wide Web a lot of money can be spent for such games (Weilguny, 2005)! The official website of the German Centre for Addiction Issues (see [http://www.dhs.de/web/datenfakten/gluecksspiel.php](http://www.dhs.de/web/datenfakten/gluecksspiel.php)) offers interesting information on that. There you can read that in Germany people spent [28.000.000.000](28.000.000.000) Euro for gambling in 2007 . The German government earned [4.250.000.000](4.250.000.000) Euro by taxes because of those gamblers.  \nHence, this might be a hint why a centre for addiction issues is arranged. But looking through the law codes of that country a general law against gambling cannot be found. However reasons to think about a general law against gambling, shall b","cbCaicUjkeAefq0S","https://ap.wps.com/l/cbCaicUjkeAefq0S","pdf",173731,12,"English","# Abstract\n# Starting point: Some facts about gambling, money and risks\n## Why is gambling a theme for teaching mathematics?","[{\"question\":\"What learning activity does the paper propose for teaching mathematics through betting?\",\"answer\":\"Learners simulate a sports event, compare different types of betting offices and odds, place bets using game money, and then calculate wins and losses after results are fixed.\"},{\"question\":\"How does the proposal help learners understand odds and bookmaker profits?\",\"answer\":\"By calculating odds and outcomes in the betting simulation, learners identify the mathematical facts and connect them to the knowledge bookmakers need to earn profits.\"},{\"question\":\"What real-world conclusion does the paper encourage learners to draw?\",\"answer\":\"Reflecting on simulation results, learners consider the real-world impact and conclude that it is better to avoid bets.\"}]","Adults Learning Mathematics - What We Should Know About Betting and Bookkeeping? | PDF"]