[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-194838-105":53,"doc-detail-194838-en":127},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":120,"head_meta":122,"extra_data":124,"updated_unix":126},105,"en","improving-fraction-learning-with-mathematics-difficulties","Improving Fraction Learning in Students with Mathematics Difficulties","","This document presents a framework for improving fraction learning in students struggling with mathematics. It details intervention components, educational psychology principles, cognitive processes, and expected outcomes. The core intervention focuses on understanding fractions as numbers with magnitudes, mastering fraction arithmetic, and applying fractions to real-world scenarios. Key learning principles employed include using meaningful contexts, gestures, concreteness fading, integrated visual and verbal models, interleaved and distributed practice, and feedback. This approach aims to build numerical magnitude understanding, proportional and multiplicative reasoning, and mathematical equivalence. Proximal outcomes include enhanced knowledge of fraction concepts, procedures, conceptual underpinnings, fluency, and motivation. Distal outcomes encompass increased self-efficacy in mathematics, better preparedness for algebra and higher-level math, and effective application of fractions in daily life. The intervention is designed to address a common learning challenge by grounding instruction in scientific learning principles and targeting critical cognitive functions.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/improving-fraction-learning-with-mathematics-difficulties/194838/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/improving-fraction-learning-with-mathematics-difficulties/194838.png","ImageObject",442,249,{"name":88,"@type":89},"Skyler","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-08","2026-09-03",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",8,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What are the key principles from the science of learning used in this fraction intervention?","Question",{"text":109,"@type":110},"The intervention incorporates principles such as using meaningful contexts, gestures to promote learning, concreteness fading, integrated visual and verbal models, interleaved and distributed practice requiring retrieval, and corrective, process-oriented feedback.","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"What cognitive processes are targeted by the fraction intervention?",{"text":114,"@type":110},"The intervention targets cognitive processes including numerical magnitude understanding, proportional and multiplicative reasoning, and mathematical equivalence.",{"name":116,"@type":107,"acceptedAnswer":117},"What are the expected distal outcomes of the fraction learning intervention?",{"text":118,"@type":110},"The distal outcomes include increased self-efficacy in math, better preparedness for algebra and higher-level mathematics, and the ability to use fractions effectively in daily life.","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},194838,1788443218,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":136,"language":137,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":138,"faqs":139,"seo_title":140,"seo_description":61,"update_tm":126,"read_time":15},2336464648746,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","| Problem | Improving Fraction Learning in Students with Mathematics Difficulties |\n| --- | --- |\n\n\n| Fraction Sense Intervention Components | Principles from the Science of Learning | Cognitive Processes | Proximal Outcomes | Distal Outcomes |\n| --- | --- | --- | --- | --- |\n| ● Fractions as numbers with magnitudes\u003Cbr>● Fraction arithmetic computation\u003Cbr>● Fractions applied to real-world situations | ● Meaningful contexts\u003Cbr>● Gestures to promote learning\u003Cbr>● Concreteness fading\u003Cbr>● Integrated visual and verbal models\u003Cbr>● Interleaved and distributed practice that requires retrieval of information\u003Cbr>● Corrective & processoriented feedback | ● Numerical magnitude understanding\u003Cbr>● Proportional and multiplicative reasoning\u003Cbr>● Mathematical equivalence | Improved knowledge in:\u003Cbr>● Fraction concepts\u003Cbr>● Fraction arithmetic procedures and their conceptual underpinnings\u003Cbr>● Fraction fluency\u003Cbr>● Fraction attitudes and motivation | ● Increased self-efficacy in math.\u003Cbr>● Better preparedness for algebra and higherlevel math\u003Cbr>● Use fractions effectively in daily life |","cbCaipmsHSpmAbIR","https://ap.wps.com/l/cbCaipmsHSpmAbIR","pdf",840866,33,"English","# Improving Fraction Learning in Students with Mathematics Difficulties","[{\"question\":\"What are the key principles from the science of learning used in this fraction intervention?\",\"answer\":\"The intervention incorporates principles such as using meaningful contexts, gestures to promote learning, concreteness fading, integrated visual and verbal models, interleaved and distributed practice requiring retrieval, and corrective, process-oriented feedback.\"},{\"question\":\"What cognitive processes are targeted by the fraction intervention?\",\"answer\":\"The intervention targets cognitive processes including numerical magnitude understanding, proportional and multiplicative reasoning, and mathematical equivalence.\"},{\"question\":\"What are the expected distal outcomes of the fraction learning intervention?\",\"answer\":\"The distal outcomes include increased self-efficacy in math, better preparedness for algebra and higher-level mathematics, and the ability to use fractions effectively in daily life.\"}]","Improving Fraction Learning in Students with Mathematics Difficulties | PDF"]