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A descriptive approach described the instructional materials and their properties, with formative evaluation guided by prior work and established evaluation procedures. Purposive sampling involved mathematics experts and grade 11 students, who evaluated the module. Readability testing measured student involvement, communication, and module grade level; results indicated high involvement index, communication outside the acceptable range, and a college level, prompting structural revision and recommendations for renewed testing and summative evaluation.",{"@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/validation-of-module-on-exponential-and-logarithmic-functions-using-the-understanding-by-design-lesson-plan-for-grade-11-mathematics-students/590888/",{"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/validation-of-module-on-exponential-and-logarithmic-functions-using-the-understanding-by-design-lesson-plan-for-grade-11-mathematics-students/590888.png","ImageObject",300,407,{"name":92,"@type":93},"Stanford","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-10-15",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What instructional module does the study develop and validate?","Question",{"text":112,"@type":113},"The study develops and validates a learning module on exponential and logarithmic functions for grade 11 mathematics students using the Understanding by Design lesson plan.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Who evaluates the module in the validation process?",{"text":117,"@type":113},"Mathematics experts and grade 11 students evaluate the module, providing feedback used for module revision and formative evaluation.",{"name":119,"@type":110,"acceptedAnswer":120},"What do the readability test results indicate?",{"text":121,"@type":113},"The module shows a high student involvement index, but the communication index falls outside the acceptable range and the module level is classified as college.","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},590888,1792188466,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144,"preview_page_count":4},2336477552062,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","African Educational Research Journal Vol. 8(2), pp. 262-271, June 2020  \nDOI: 10. 30918/AERJ.82.20.006 ISSN: 2354-2160  \nFull Length Research Paper  \nValidation of module on exponential and logarithmic functions using the understanding by design lesson plan for grade 11 mathematics students  \nJanette C. Lagos  \nPamantasan Ng Lungsod Ng Maynila, Philippines.  \nAccepted 29 April, 2020  \n\n| ABSTRACT\u003Cbr>The study aimed to develop and validate learning module on exponential and logarithmic functions based on the Understanding by Design lesson plan. The study was descriptive in nature, describing the instructional materials and its properties. The research flow was based on the works of Emily K. Dunsker in 2005 and the suggested procedure on formative evaluation by Talisayon and Vistro-Yu. Purposive sampling technique was used in determining the respondents. Respondents involved selected mathematics experts and grade 11 students. They were responsible for evaluating the module. Feedbacksof expert had served as guide in the module revision. Student respondents were involved in the formative evaluation. A word-sentence list forms were given to students to identify difficult or vague words, phrasesand sentences as they read the module carefully. The module was subjected to readability test to determine the student involvement index, communication index and the grade level of the module. The study showed that the module has high involvement index, the communication index fell out of the acceptable range and the module level was college. These results called for another revision with complete change in structure and mode of presentation but still based on the Understanding by Design lesson plan. The study recommended to revised module and to subject it to readability test again to ensure that the module would be appropriate to the users. A summative evaluation is also recommended to determine its effectiveness.\u003Cbr>Keywords: Validation, module, readability test. |\n| --- |\n| [E-mail: jkimwin@yahoo.com](E-mail: jkimwin@yahoo.com). |\n\nINTRODUCTION  \nThe performance of Filipino students in mathematics as shown in the result of the National Achievement Test is deteriorating. According to an article online entitled “2/3 Philippine High Schools Obtained Low NAT Scores” by [newsinfo.inquirer.com](newsinfo.inquirer.com) , almost two-thirds of the country’s high schools fared poorly in the National Achievement Test (NAT) in 2010 with some 67.10 percent of schools getting below average NAT scores. This prompted Education Secretary Armin Luistro to order school officials to exert greater effort in raising NAT scores among elementary and high school students (Quismundo, 2011) .  \nAmidst this problem, mathematics educators seek ways  \nand means to remedy the problem . These remedies include: mathematics curriculum evaluation and revision to ensure that the educational framework has responded to the students’ needs; adoption and implementation of new methods and techniques in teaching mathematics other than the conventional lecture-discussion method and; creation of tools to bring a different learning experience in learning math such as the use of mathematics software and learning modules.  \nSeveral researches proved that modules are effective tools in learning. The study on the use of teaching module based on radical constructivism towards rural students in Sabah showed that the use of Geography  \nLagos 263  \nTeaching Module CSAA can improve students' thinking skills. Furthermore, its implementation could increase thinking skills as the use of student-centered approach to encourage students to participate actively in the discovery of knowledge (Matanluk et al. , 2013) .  \nThe study on the use of interactive learning modules in classroom study for computer science education revealed that most student respondents preferred the use of interactive learning modules over reading texts, working in small groups, doing written homework and video lecture (Jamwal","cbCailFtEa9Qp3Fr","https://ap.wps.com/l/cbCailFtEa9Qp3Fr","pdf",207514,"English","# Introduction\n## Background: mathematics performance and NAT results\n## Rationale: remedies and teaching tools\n## Related studies on modules and learning interventions\n## Framework: Understanding by Design (UbD)\n## Key UbD tenets for curriculum, assessment, and instruction","[{\"question\":\"What instructional module does the study develop and validate?\",\"answer\":\"The study develops and validates a learning module on exponential and logarithmic functions for grade 11 mathematics students using the Understanding by Design lesson plan.\"},{\"question\":\"Who evaluates the module in the validation process?\",\"answer\":\"Mathematics experts and grade 11 students evaluate the module, providing feedback used for module revision and formative evaluation.\"},{\"question\":\"What do the readability test results indicate?\",\"answer\":\"The module shows a high student involvement index, but the communication index falls outside the acceptable range and the module level is classified as college.\"}]","Validation of module on exponential and logarithmic functions using the understanding by design lesson plan for grade 11 mathematics students | PDF",1792070663,25]