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Criterion sampling selects 10 students in the spring term of 2016–2017 from İstanbul who make similar errors. Data are collected via a student information form, clinical interviews, and worksheets. Realistic Mathematics Education (RME) activities targeting operational, conceptual, and problem-based sources are implemented, after which students’ multiplication and division mistakes decrease.",{"@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/an-action-research-to-eliminate-mistakes-in-multiplication-and-division-operations-through-realistic-mathematics-education/603025/",{"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/an-action-research-to-eliminate-mistakes-in-multiplication-and-division-operations-through-realistic-mathematics-education/603025.png","ImageObject",300,407,{"name":92,"@type":93},"MrHarris58","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-15",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the study aiming to achieve regarding student errors?","Question",{"text":112,"@type":113},"The study aims to determine activities to eliminate mistakes made by fourth graders in multiplication and division operations and to propose solution suggestions for reducing those mistakes.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How were participants selected and what is the study group size?",{"text":117,"@type":113},"Participants were selected using criterion sampling. The study group consists of 10 fourth graders attending a primary school in İstanbul during the spring term of the 2016–2017 school year.",{"name":119,"@type":110,"acceptedAnswer":120},"What role does Realistic Mathematics Education (RME) play in the intervention?",{"text":121,"@type":113},"RME-based activities were prepared and applied to target the operational, conceptual, and problem situations that were identified as the sources of students’ mistakes, and the implementation reduced those mistakes.","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},603025,1792172360,{"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":52,"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},687212988360,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","An Action Research to Eliminate Mistakes in Multiplication and Division Operations  \n*  \nthrough Realistic Mathematics Education  \nAlper YORULMAZ1  \nMugla Sitki Kocman University  \nMidrabi Cihangir DOĞAN2  \nMarmara University  \nAbstract  \nIn the current study, it is aimed to determine the activities that need to be done to eliminate the mistakes made by primary school fourth grade students in multiplication and division operations and to present solution suggestions for eliminating these mistakes. The study employed action research, one of the qualitative research methods. The study group was constructed by the criterion sampling method, one of the purposive sampling methods. The study group is comprised of 10 fourth graders attending a primary school in the spring term of the 2016-2017 school year in the city of İstanbul and making similar mistakes. A student information form, clinical interview form and student worksheets were used as data collection tools in the study. Activities prepared in line with the principles of Realistic Mathematics Education (RME) were applied in order to eliminate the mistakes made by the students in the multiplication and division operations. When the mistakes made by the students in the multiplication and division operations were examined, it was revealed that the source of the mistakes was the operational, conceptual and problem situations. During the implementation of RME activities, it was determined that the mistakes of the students started to be eliminated. After the implementation, it was found that the mistakes of the students committed in the multiplication and division operations decreased. Thus, it can be said that RME is an effective application in reducing the mistakes in multiplication and division operations made by students in primary school.  \nKeywords: Multiplication operation, division operation, realistic mathematics education, mistake, primary school  \nDOI: 10.29329/epasr.2022.461.12  \n*  \nThis study is based on a PhD thesis prepared at Marmara University Institute of Educational Sciences.  \n1Research Assistant Dr., Faculty of Education, Mugla Sitki Kocman University, Muğla, Türkiye, ORCID: 0000-0003-2832- 6793  \nCorrespondence: [alperyorulmaz@mu.edu.tr](alperyorulmaz@mu.edu.tr)  \n2 Prof. Dr., Atatürk Faculty of Education, Marmara University, İstanbul, Türkiye, ORCID: 0000-0003-1473-7866. E-mail: [mcdogan@marmara.edu.tr](mcdogan@marmara.edu.tr)  \nIntroduction  \nIn order to foster scientific and technological developments, investments need to be made on engineering and computer technologies, which are grounded on mathematical knowledge and skills. Mathematics education has an important place starting from primary school in training individuals with advanced mathematical knowledge and skills. For this reason, effective teaching of mathematics in primary school is necessary (Baykul, 1992) . In order for this process to be carried out effectively in primary school, it has become necessary to identify the problems that students experience during the development of their mathematical skills and to produce solutions for these problems. The source of the problems experienced during the development of mathematical skills is to have students engage in activities focused on the development of procedural knowledge rather than having them make sense of mathematical knowledge based on daily life experiences in mathematics lessons (Uça & Saracaloğlu, 2017) . Since the source of mathematical knowledge is daily life problems, applications made for the development of mathematical knowledge and skills should be intertwined with real life and procedural information should be given based on the concept. In this way, it will be easy for students to make sense of mathematical knowledge and skills, they will create their mathematical operations in a meaningful way in daily life, and it will be easier to eliminate problems related to mathematical knowledge and skills.  \nStarting from pre-school educa","cbCaiasVkqd642ZL","https://ap.wps.com/l/cbCaiasVkqd642ZL","pdf",746165,25,"English","# Abstract\n# Introduction\n## Mathematics education and the need for effective instruction\n## Difficulties, misconceptions, and mistakes in learning mathematics\n## Relationship between misconceptions and mistakes","[{\"question\":\"What is the study aiming to achieve regarding student errors?\",\"answer\":\"The study aims to determine activities to eliminate mistakes made by fourth graders in multiplication and division operations and to propose solution suggestions for reducing those mistakes.\"},{\"question\":\"How were participants selected and what is the study group size?\",\"answer\":\"Participants were selected using criterion sampling. The study group consists of 10 fourth graders attending a primary school in İstanbul during the spring term of the 2016–2017 school year.\"},{\"question\":\"What role does Realistic Mathematics Education (RME) play in the intervention?\",\"answer\":\"RME-based activities were prepared and applied to target the operational, conceptual, and problem situations that were identified as the sources of students’ mistakes, and the implementation reduced those mistakes.\"}]","An Action Research to Eliminate Mistakes in Multiplication and Division Operations - through Realistic Mathematics Education | PDF",1792095594,63]