GO Math!: 2015 Elementary Grades Efficacy Study

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d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> <li><div> <a href="/programs/hmh-performance-suite" data-element-location="Curriculum > Literacy > Core Curriculum > Performance Suite" data-element-type="header nav submenu" title="Performance Suite" aria-label="Performance Suite"> <span >Performance Suite</span> <span class="icon"> </span> </a> </div></li> </ul> </div> </div> <div class="large-4"> <div class="cell"> <ul class="menu vertical"> <li class="menu-text" > <div>Intervention</div></li> <li><div> <a href="/programs/english-3d" data-element-location="Curriculum > Literacy > Intervention > English 3D, 4-12" data-element-type="header nav submenu" title="English 3D, 4-12" aria-label="English 3D, 4-12"> <span >English 3D, 4-12</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/read-180" data-element-location="Curriculum > Literacy > Intervention > Read 180, 3-12" data-element-type="header nav submenu" title="Read 180, 3-12" aria-label="Read 180, 3-12"> <span >Read 180, 3-12</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/classroom-solutions/reading-intervention-programs" class="link arrow see-all" data-element-location="Curriculum > Literacy > Intervention > See all Reading Intervention" data-element-type="header nav submenu" title="See all Reading Intervention" aria-label="See all Reading Intervention"> <span class="underline">See all Reading Intervention</span> <span class="icon"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 13 12" fill="none"> <path d="M1 5.17185C0.447715 5.17185 0 5.61957 0 6.17185C0 6.72414 0.447715 7.17185 1 7.17185V5.17185ZM1 7.17185H10.7209V5.17185H1V7.17185Z" fill="currentColor"/> <path d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> </ul> </div> </div> <div class="large-4"> <div class="cell"> <ul class="menu vertical"> <li class="menu-text" > <div>Supplemental </div></li> <li><div> <a href="/programs/chance" data-element-location="Curriculum > Literacy > Supplemental > A Chance in the World SEL, 8-12" data-element-type="header nav submenu" title="A Chance in the World SEL, 8-12" aria-label="A Chance in the World SEL, 8-12"> <span >A Chance in the World SEL, 8-12</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/amira" data-element-location="Curriculum > Literacy > Supplemental > Amira Learning, K-6" data-element-type="header nav submenu" title="Amira Learning, K-6" aria-label="Amira Learning, K-6"> <span >Amira Learning, K-6</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/classcraft" data-element-location="Curriculum > Literacy > Supplemental > Classcraft, K-8" data-element-type="header nav submenu" title="Classcraft, K-8" aria-label="Classcraft, K-8"> <span >Classcraft, K-8</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/rigby-jille-literacy" data-element-location="Curriculum > Literacy > Supplemental > JillE Literacy, K-3" data-element-type="header nav submenu" title="JillE Literacy, K-3" aria-label="JillE Literacy, K-3"> <span >JillE Literacy, K-3</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/waggle" data-element-location="Curriculum > Literacy > Supplemental > Waggle, K-8" data-element-type="header nav submenu" title="Waggle, K-8" aria-label="Waggle, K-8"> <span >Waggle, K-8</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/writable" data-element-location="Curriculum > Literacy > Supplemental > Writable, 3-12" data-element-type="header nav submenu" title="Writable, 3-12" aria-label="Writable, 3-12"> <span >Writable, 3-12</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/classroom-solutions/supplemental-reading-programs" class="link arrow see-all" data-element-location="Curriculum > Literacy > Supplemental > See all Reading Supplemental" data-element-type="header nav submenu" title="See all Reading Supplemental" aria-label="See all Reading Supplemental"> <span class="underline">See all Reading Supplemental</span> <span class="icon"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 13 12" fill="none"> <path d="M1 5.17185C0.447715 5.17185 0 5.61957 0 6.17185C0 6.72414 0.447715 7.17185 1 7.17185V5.17185ZM1 7.17185H10.7209V5.17185H1V7.17185Z" fill="currentColor"/> <path d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> <li><div> <a href="/classroom-solutions/assessment" data-element-location="Curriculum > Literacy > Supplemental > Assessment" data-element-type="header nav submenu" title="Assessment" aria-label="Assessment"> <span >Assessment</span> <span class="icon"> </span> </a> </div></li> </ul> </div> </div> </div> </div> <div class="cell cards medium-6 large-5"> <div class="menu-card"> <div class="grid-x"> <div class="menu-card-image cell medium-5"> <a href="/forms/ai-in-the-classroom-quick-guide" data-element-location="Curriculum > Literacy > AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks" data-element-type="header nav submenu" title="AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks" aria-label="AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/global/Literacy-EdTech-Gated_1.png" alt="AI in the Classroom" loading="lazy" /> </a> </div> <div class="menu-card-detail cell medium-7"> <div class="menu-card-title"> <a href="/forms/ai-in-the-classroom-quick-guide" data-click-item="navigation link" data-element-location="Curriculum > Literacy > AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks" data-element-type="header nav submenu"> AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks </a> </div> <div class="menu-card-summary"> Download our quick guide of best practices for integrating AI in schools in a way that targets educational goals while minimizing the risks. </div> </div> </div> </div> <div class="menu-card"> <div class="grid-x"> <div class="menu-card-image cell medium-5"> <a href="/classroom-solutions/science-of-reading-curriculum" data-element-location="Curriculum > Literacy > Science of Reading Curriculum" data-element-type="header nav submenu" title="Science of Reading Curriculum" aria-label="Science of Reading Curriculum"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/global/Literacy-SoR-eBook_2.png" alt="Science of Reading" loading="lazy" /> </a> </div> <div class="menu-card-detail cell medium-7"> <div class="menu-card-title"> <a href="/classroom-solutions/science-of-reading-curriculum" data-click-item="navigation link" data-element-location="Curriculum > Literacy > Science of Reading Curriculum" data-element-type="header nav submenu"> Science of Reading Curriculum </a> </div> <div class="menu-card-summary"> HMH's evidence-based science of reading curriculum supports K–12 students with programs that provide systematic, explicit literacy instruction. </div> </div> </div> </div> </div> </div> </div> <div class="tabs-panel" id="math-tab"> <div class="grid-x"> <div class="cell medium-6 large-7"> <div class="grid-x"> <div class="large-4"> <div class="cell"> <ul class="menu vertical"> <li class="menu-text" > <div>Core Curriculum</div></li> <li><div> <a href="/programs/into-math" data-element-location="Curriculum > Math > Core Curriculum > Arriba las Matematicas, K-8" data-element-type="header nav submenu" title="Arriba las Matematicas, K-8" aria-label="Arriba las Matematicas, K-8"> <span >Arriba las Matematicas, K-8</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/go-math" data-element-location="Curriculum > Math > Core Curriculum > Go Math!, K-6" data-element-type="header nav submenu" title="Go Math!, K-6" aria-label="Go Math!, K-6"> <span >Go Math!, K-6</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/into-aga" data-element-location="Curriculum > Math > Core Curriculum > Into Algebra 1, Geometry, Algebra 2, 8-12" data-element-type="header nav submenu" title="Into Algebra 1, Geometry, Algebra 2, 8-12" aria-label="Into Algebra 1, Geometry, Algebra 2, 8-12"> <span >Into Algebra 1, Geometry, Algebra 2, 8-12</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/into-math" data-element-location="Curriculum > Math > Core Curriculum > Into Math, K-8" data-element-type="header nav submenu" title="Into Math, K-8" aria-label="Into Math, K-8"> <span >Into Math, K-8</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/math-in-focus" data-element-location="Curriculum > Math > Core Curriculum > Math in Focus, K-8" data-element-type="header nav submenu" title="Math in Focus, K-8" aria-label="Math in Focus, K-8"> <span >Math in Focus, K-8</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/classroom-solutions/math" class="link arrow see-all" data-element-location="Curriculum > Math > Core Curriculum > See all Math" data-element-type="header nav submenu" title="See all Math" aria-label="See all Math"> <span class="underline">See all Math</span> <span class="icon"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 13 12" fill="none"> <path d="M1 5.17185C0.447715 5.17185 0 5.61957 0 6.17185C0 6.72414 0.447715 7.17185 1 7.17185V5.17185ZM1 7.17185H10.7209V5.17185H1V7.17185Z" fill="currentColor"/> <path d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> <li><div> <a href="/programs/hmh-performance-suite" data-element-location="Curriculum > Math > Core Curriculum > Performance Suite" data-element-type="header nav submenu" title="Performance 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data-element-type="header nav submenu" title="See all Supplemental Math" aria-label="See all Supplemental Math"> <span class="underline">See all Supplemental Math</span> <span class="icon"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 13 12" fill="none"> <path d="M1 5.17185C0.447715 5.17185 0 5.61957 0 6.17185C0 6.72414 0.447715 7.17185 1 7.17185V5.17185ZM1 7.17185H10.7209V5.17185H1V7.17185Z" fill="currentColor"/> <path d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> </ul> </div> </div> <div class="large-4"> <div class="cell"> <ul class="menu vertical"> <li class="menu-text" > <div>Intervention</div></li> <li><div> <a href="/programs/math-180" data-element-location="Curriculum > Math > Intervention > Math 180, 3-12" data-element-type="header nav submenu" title="Math 180, 3-12" aria-label="Math 180, 3-12"> <span >Math 180, 3-12</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/classroom-solutions/math-intervention-programs" class="link arrow see-all" data-element-location="Curriculum > Math > Intervention > See all Math Intervention" data-element-type="header nav submenu" title="See all Math Intervention" aria-label="See all Math Intervention"> <span class="underline">See all Math Intervention</span> <span class="icon"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 13 12" fill="none"> <path d="M1 5.17185C0.447715 5.17185 0 5.61957 0 6.17185C0 6.72414 0.447715 7.17185 1 7.17185V5.17185ZM1 7.17185H10.7209V5.17185H1V7.17185Z" fill="currentColor"/> <path d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> <li><div> <a href="/classroom-solutions/assessment" class="link arrow see-all" data-element-location="Curriculum > Math > Intervention > See all Assessment" data-element-type="header nav submenu" title="See all Assessment" aria-label="See all Assessment"> <span class="underline">See all Assessment</span> <span class="icon"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 13 12" fill="none"> <path d="M1 5.17185C0.447715 5.17185 0 5.61957 0 6.17185C0 6.72414 0.447715 7.17185 1 7.17185V5.17185ZM1 7.17185H10.7209V5.17185H1V7.17185Z" fill="currentColor"/> <path d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> </ul> </div> </div> </div> </div> <div class="cell cards medium-6 large-5"> <div class="menu-card"> <div class="grid-x"> <div class="menu-card-image cell medium-5"> <a href="/forms/ai-in-the-classroom-quick-guide" data-element-location="Curriculum > Math > AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks" data-element-type="header nav submenu" title="AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks" aria-label="AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/global/Math-EdTech-Gated_1.png" alt="AI in the Classroom" loading="lazy" /> </a> </div> <div class="menu-card-detail cell medium-7"> <div class="menu-card-title"> <a href="/forms/ai-in-the-classroom-quick-guide" data-click-item="navigation link" data-element-location="Curriculum > Math > AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks" data-element-type="header nav submenu"> AI in the Classroom: A Quick Guide to Harness Benefits and Minimize Risks </a> </div> <div class="menu-card-summary"> Download our quick guide of best practices for integrating AI in schools in a way that targets educational goals while minimizing the risks. </div> </div> </div> </div> <div class="menu-card"> <div class="grid-x"> <div class="menu-card-image cell medium-5"> <a href="/forms/6-best-practices-to-optimize-math-classrooms" data-element-location="Curriculum > Math > Optimizing the Math Classroom: 6 Best Practices" data-element-type="header nav submenu" title="Optimizing the Math Classroom: 6 Best Practices" aria-label="Optimizing the Math Classroom: 6 Best Practices"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/global/Math-Optiming-the-Math-Classroom_2.png" alt="6 Best Practices for Optimizing the Math Classroom" loading="lazy" /> </a> </div> <div class="menu-card-detail cell medium-7"> <div class="menu-card-title"> <a href="/forms/6-best-practices-to-optimize-math-classrooms" data-click-item="navigation link" data-element-location="Curriculum > Math > Optimizing the Math Classroom: 6 Best Practices" data-element-type="header nav submenu"> Optimizing the Math Classroom: 6 Best Practices </a> </div> <div class="menu-card-summary"> Our compilation of math best practices highlights six ways to optimize classroom instruction and make math something all learners can enjoy. </div> </div> </div> </div> </div> </div> </div> <div class="tabs-panel" id="science-tab"> <div class="grid-x"> <div class="cell medium-6 large-7"> <div class="grid-x"> <div class="large-4"> <div class="cell"> <ul class="menu vertical"> <li class="menu-text" > <div>Core Curriculum </div></li> <li><div> <a href="/programs/hmh-into-science" data-element-location="Curriculum > Science > Core Curriculum > Into Science, K-5" data-element-type="header nav submenu" title="Into Science, K-5" aria-label="Into Science, K-5"> <span >Into Science, K-5</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/hmh-into-science-6-8" data-element-location="Curriculum > Science > Core Curriculum > Into Science, 6-8" data-element-type="header nav submenu" title="Into Science, 6-8" aria-label="Into Science, 6-8"> <span >Into Science, 6-8</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/programs/hmh-science-dimensions" data-element-location="Curriculum > Science > Core Curriculum > Science Dimensions, K-12" data-element-type="header nav submenu" title="Science Dimensions, K-12" aria-label="Science Dimensions, K-12"> <span >Science Dimensions, K-12</span> <span class="icon"> </span> </a> </div></li> <li><div> <a href="/classroom-solutions/science" class="link arrow see-all" data-element-location="Curriculum > Science > Core Curriculum > See all Science" data-element-type="header nav submenu" title="See all Science" aria-label="See all Science"> <span class="underline">See all Science</span> <span class="icon"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 13 12" fill="none"> <path d="M1 5.17185C0.447715 5.17185 0 5.61957 0 6.17185C0 6.72414 0.447715 7.17185 1 7.17185V5.17185ZM1 7.17185H10.7209V5.17185H1V7.17185Z" fill="currentColor"/> <path d="M6.16406 1.23474L11.0734 6.14404L6.16406 11.0533" stroke="currentColor" stroke-width="2"/> </svg> </span> </a> </div></li> </ul> </div> </div> <div class="large-4"> <div class="cell"> <ul class="menu vertical"> <li class="menu-text" > <div>Readers</div></li> <li><div> <a href="/programs/sciencesaurus" data-element-location="Curriculum > Science > Readers > ScienceSaurus, K-8" data-element-type="header nav submenu" title="ScienceSaurus, K-8" aria-label="ScienceSaurus, K-8"> <span >ScienceSaurus, K-8</span> <span class="icon"> </span> </a> </div></li> </ul> </div> </div> </div> </div> <div class="cell cards medium-6 large-5"> <div class="menu-card"> <div class="grid-x"> <div class="menu-card-image cell medium-5"> <a href="/forms/2024-2025-classroom-activities-and-holidays-calendar" data-element-location="Curriculum > Science > 2024-2025 Classroom Activities and Holidays Calendar" data-element-type="header nav submenu" title="2024-2025 Classroom Activities and Holidays Calendar" aria-label="2024-2025 Classroom Activities and Holidays Calendar"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/global/Science-Activities-Calendar_1.png" alt="Classroom Activities and Holidays Calendar" loading="lazy" /> </a> </div> <div class="menu-card-detail cell medium-7"> <div class="menu-card-title"> <a href="/forms/2024-2025-classroom-activities-and-holidays-calendar" data-click-item="navigation link" data-element-location="Curriculum > Science > 2024-2025 Classroom Activities and Holidays Calendar" data-element-type="header nav submenu"> 2024-2025 Classroom Activities and Holidays Calendar </a> </div> <div class="menu-card-summary"> Download our free activities calendar for fun lessons to do with your class, plus engaging ways to commemorate and celebrate events throughout the year. </div> </div> </div> </div> </div> </div> </div> <div class="tabs-panel" id="social-studies-tab"> <div class="grid-x"> <div class="cell medium-6 large-7"> <div class="grid-x"> <div class="large-4"> <div class="cell"> <ul class="menu vertical"> <li class="menu-text" > <div>Core Curriculum </div></li> <li><div> <a href="/programs/hmh-social-studies" data-element-location="Curriculum > Social Studies > Core Curriculum > HMH Social 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class="underline"> Back to Research Overview / Library </span> </a> </div> </div> <div class="grid-x one-column-hero-banner-content"> <div class="cell small-12 hero-content"> <div class="badge text-text-left is-hidden"> </div> <div class="headline text-text-left"> <h1><em>GO Math!</em>: 2015 Elementary Grades Efficacy Study</h1> </div> <div class="subheadline text-text-left is-hidden"> </div> <div class="description text-text-left"> </div> <div class="authors is-hidden"> </div> <div class="date-time-location is-hidden "> <div class="start-time is-hidden"> </div> <div class="location is-hidden"> </div> </div> <ul class="categories"> </ul> </div> </div> </div> </section> <section class="grid-container"> <div class="grid-x"> <aside class="cell small-12 large-3"> <div class="actionable text-center"> <a href="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/HMH-GO-Math-2015-Elementary-Grades-Efficacy-Study-2015SY.pdf" class="button pill" target="_blank" title="Download full 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class="grid-container tocnav" data-js-hook="table-contents" data-type="component"> <div class="grid-x table-contents"> <div class="cell content"> <div class="sticky-tocnav"> <ul class="menu vertical accordion-menu background-gray-5"> <li><a class="menu-title toc" href="javascript:void(0)" title="Table of Contents"> Table of Contents <span><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 6 8"> <g> <polygon points="1.39 8 0 6.8 3.23 4 0 1.2 1.39 0 6 4 1.39 8" fill="currentColor"></polygon> </g> </svg> </span></a> <ul class="menu vertical toc is-active"> <li><a class="menu-title" href="#abstract" title="Abstract"> Abstract </a> </li> <li><a class="menu-title" href="#overview-of-the-study" title="Overview of the Study"> Overview of the Study <span><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 6 8"> <g> <polygon points="1.39 8 0 6.8 3.23 4 0 1.2 1.39 0 6 4 1.39 8" fill="currentColor"></polygon> </g> </svg> </span> </a> <ul class="submenu menu vertical nested"> <li><a href="#research-questions">Research Questions</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#design-of-the-study">Design of the Study</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#program-overview">Program Overview</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#emgo-mathem-k-6">GO Math! K–6</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#description-of-the-assessments">Description of the Assessments</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#description-of-the-study-sample">Description of the Study Sample</a></li> </ul> </li> <li><a class="menu-title" href="#data-analyses-and-results" title="Data Analyses and Results"> Data Analyses and Results <span><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 6 8"> <g> <polygon points="1.39 8 0 6.8 3.23 4 0 1.2 1.39 0 6 4 1.39 8" fill="currentColor"></polygon> </g> </svg> </span> </a> <ul class="submenu menu vertical nested"> <li><a href="#grade-2-results">Grade 2 Results</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#grade-4-results">Grade 4 Results</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#grade-6-results">Grade 6 Results</a></li> </ul> </li> <li><a class="menu-title" href="#conclusions" title="Conclusions"> Conclusions <span><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 6 8"> <g> <polygon points="1.39 8 0 6.8 3.23 4 0 1.2 1.39 0 6 4 1.39 8" fill="currentColor"></polygon> </g> </svg> </span> </a> <ul class="submenu menu vertical nested"> <li><a href="#research-question-1">Research Question 1</a></li> </ul> <ul class="submenu menu vertical nested"> <li><a href="#research-question-2">Research Question 2</a></li> </ul> </li> </ul> </li> </ul> </div> </div> </div> </div> </aside> <article class="cell small-12 large-9 with-sidebar"> <section class="grid-x callout" data-js-hook="card-glance" data-type="module"> <div class="cell"> <div class="content"> <div class="headline"> <h2>At a glance</h2> </div> <div class="description"> <ul class="no-bullet"> <li class="item essa-evidence has-icon"> <svg viewBox="0 0 16 24" version="1.1" width="16px" height="24px" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g xmlns="http://www.w3.org/2000/svg" stroke-width="1" class="fill-black"> <path d="M11.5,8 C11.5,9.933 9.933,11.5 8,11.5 C6.067,11.5 4.5,9.933 4.5,8 C4.5,6.067 6.067,4.5 8,4.5 C9.933,4.5 11.5,6.067 11.5,8"></path> <path d="M11,19.8389 L9.25,18.4389 L8,17.4389 L6.75,18.4389 L5,19.8389 L5,15.4129 C5.927,15.7889 6.938,15.9999 8,15.9999 C9.062,15.9999 10.073,15.7889 11,15.4129 L11,19.8389 Z M2,7.9999 C2,4.6919 4.691,1.9999 8,1.9999 C11.309,1.9999 14,4.6919 14,7.9999 C14,11.3089 11.309,13.9999 8,13.9999 C4.691,13.9999 2,11.3089 2,7.9999 Z M16,7.9999 C16,3.5819 12.418,-0.0001 8,-0.0001 C3.582,-0.0001 0,3.5819 0,7.9999 C0,10.5249 1.173,12.7739 3,14.2399 L3,23.9999 L8,19.9999 L13,23.9999 L13,14.2399 C14.827,12.7739 16,10.5249 16,7.9999 Z"></path> </g> </svg> <strong>Demonstrates a Rationale</strong> </li> <li class="item program"> <strong>Program:</strong> <span> <a href="https://www.hmhco.com/programs/go-math">Go Math!®</a> </span> </li> <li class="item subject "> <strong>Subject:</strong> <span> <a href="https://www.hmhco.com/classroom-solutions/math">Math</a> </span> </li> <li class="item category"> <strong>Report Type:</strong> <span> Efficacy Study, Study Conducted by Third Party </span> </li> <li class="item category"> <strong>Grade Level:</strong> <span> Elementary, Middle </span> </li> <li class="item category"> <strong>Region:</strong> <span> Midwest, Northeast, West </span> </li> <li class="item category"> <strong>District Urbanicity:</strong> <span> Urban, Suburban, Rural </span> </li> <li class="item meta"> <strong>Study Conducted By:</strong> <span>Educational Research Institute of America</span> </li> <li class="item meta"> <strong>Participants:</strong> <span>Over 2,788</span> </li> <li class="item meta"> <strong>Evaluation Period:</strong> <span>2014</span> </li> </ul> </div> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-1"> <div class="grid-x toc-header"> <div class="cell content"> <div class="headline"> <h2><a data-magellan-target="abstract" name="abstract" id="abstract">Abstract</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-2"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>The focus of this study was the effectiveness of <em>GO Math!</em> © 2015 a mathematics program for elementary grade students published by Houghton Mifflin Harcourt<sup>®</sup>. The study included students from 29 different schools in 9 different states. The overall demographics of the study sample are representative of the demographics of students enrolled in public schools in the United States in terms of students eligible for free/reduced lunch programs and below national averages for non-White students.</p> <p>The study was conducted with over 2,788 students enrolled in Grades 2, 4, and 6. Only those students who took both a pretest and posttest were included in the data analysis. Teachers used the program for their math instruction five days per week and more than 25 minutes per day. The program was being used by the teachers for the first time. All of the teachers had at least five years of teaching experience and most had 10 to 15 years of teaching experience. </p> <p>Instruction included the first three units of the program. Pretests and posttests were written by math specialists based on the instructional units taught at each grade level. In addition to analyzing the gain scores for the total group of students at each grade, analyses were conducted separately for higher and lower scoring mathematics students. Higher and lower scoring students were identified by the students’ pretest scores. Those scoring highest on the pretests were designated as the high scoring mathematics students and those scoring lowest on the pretests were designated as the lower scoring math students. </p> <p>The average gain scores for the total group of students at each grade were statistically significant. The effect sizes for all students at Grades 2 and 4 were large and at Grade 6 the effect size was medium. </p> <p>In addition the average gain scores for the low and high scoring groups at each grade level were also statistically significant. The effect sizes for the high and low scoring groups were large at Grades 2 and 4. At Grade 6 the effect size was large for the low scoring students and medium for the high scoring students. <em>All of the effect sizes at every grade exceeded by a large margin the effect sizes needed to determine a substantively important level</em>.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-3"> <div class="grid-x toc-header"> <div class="cell content"> <div class="headline"> <h2><a data-magellan-target="overview-of-the-study" name="overview-of-the-study" id="overview-of-the-study">Overview of the Study</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-4"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Houghton Mifflin Harcourt, School Publishers contracted with Educational Research Institute of America (ERIA) to conduct a one-semester study to evaluate the effectiveness of the <em>GO Math!</em> Program for elementary school students. The study compared assessments administered to students at the end of August 2014 to assessments administered in the middle of December 2014.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-5"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="research-questions" name="research-questions" id="research-questions">Research Questions</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-6"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>The following research questions guided the design of the study and the data analyses:</p> <ul><li>Does the implementation of <em>GO Math! Elementary Program</em> in Grades 2–6 program lead to improved student mathematics achievement? </li><li>Does the implementation of <em>GO Math! Elementary Program</em> in Grades 2–6 lead to differential effects on student achievement as a function of student ability level?</li></ul></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-7"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="design-of-the-study" name="design-of-the-study" id="design-of-the-study">Design of the Study</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-8"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>The design of the program called for the implementation of the <em>GO Math! </em>program for Grade 2, 4, and 6 students during the first semester of the 2014–2015 academic year. The schools had not used the program prior to this time.</p> <p>A total of 118 teachers in 9 different states participated in the study. The number of teachers at each grade included: </p> <ul><li>Grade 2: 22 schools; 8 states; 60 teachers. </li><li>Grade 4: 20 schools; 9 states; 51 teachers. </li><li>Grade 6: 5 schools; 3 states; 7 teachers. </li></ul> <p>Teachers reported using the program 5 days a week with an average usage time of more than 25 minutes. All of the teachers had at least five years of teaching experience and most had 10 to 15 years of teaching experience.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-9"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="program-overview" name="program-overview" id="program-overview">Program Overview</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-10"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Houghton Mifflin Harcourt<em> GO Math! 2015©</em> is a K–6 program written specifically to support the Common Core State Standards for Mathematics with an emphasis on developing 21st-century skills. The Standards for Mathematical Practice are integrated into the content, along with an equal emphasis on conceptual fluency. The program provides rigor, depth of understanding through interactive lessons, research-based instructional approaches, best practices, English learner support, and <a href="/blog/strategies-for-differentiated-math-instruction">differentiated math instructional resources</a> to ensure success for all students. The comprehensive digital resources promote college and career readiness and support students, teachers, administrators, and parents.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-11"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="emgo-mathem-k-6" name="emgo-mathem-k-6" id="emgo-mathem-k-6"><em>GO Math!</em> K–6</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-12"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Incorporates Mathematical Practices in every lesson so students develop the mathematical thinking they need.</p> <p>Features exploration-driven lessons that begin with problem-based situations and build to more abstract problems.</p> <p>Elevates depth of understanding so students are ready for the rigor of CCSS and the Smarter Balanced Assessment.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-13"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="description-of-the-assessments" name="description-of-the-assessments" id="description-of-the-assessments">Description of the Assessments</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-14"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>The pretest and posttest used in the study were developed by ERIA mathematics curriculum experts. Tests were developed to match the content of the <em>GO Math!</em> chapters used in the study as well as to emphasize the National Council of Teachers of Mathematics (NCTM<sup>®</sup>) Standards.</p> <p>The tests were developed to respond to the following emphases: </p> <p>Innovative items that call for actual performance on the part of students that encourage divergent thinking and problem solving, emphasize on thinking skills, and align with the NCTM Standards and the State Common Core Standards. </p> <p>The tests included both multiple choice and written responses. The make-up of items types on each of the three assessments were:</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-15"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/GoMath_NewTable.png" alt="Go Math New Table" height="614" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/GoMath_NewTable.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-16"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Table 1 provides the basic test statistics. The table shows that the reliabilities of the tests are high and provide adequate stability to assess mathematics achievement. Of particular importance is the fact that the test reliabilities are higher for the post-tests than for the pretests. This is almost certainly the result of instruction which would result in less random guessing on the post-tests than on the pretests.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-17"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5_Math_Efficacy_table1-1.png" alt="5 5 Math Efficacy Table1 1" height="577" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5_Math_Efficacy_table1-1.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-18"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="description-of-the-study-sample" name="description-of-the-study-sample" id="description-of-the-study-sample">Description of the Study Sample</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-19"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Table 2 provides the demographic characteristics of the schools included in the study. It is important to note that the school data does not provide a description of the make-up of the classes that participated in the study. However, the data does provide a general description of the schools and, thereby, an estimate of the make-up of the classes included in the study.</p> <p>The percentage of students enrolled in free/reduced lunch programs ranged from 1% to 99% and averaged 48% across the sample of schools. By comparison, the reported national average for students enrolled in free/reduced lunch programs in public schools was reported as 48.1%.</p> <p>The percentage of students classified as minority students (non-White) ranged from 0 to 99% with an average of 40%. By comparison, 49.8% of the students enrolled in U.S. public schools were classified as non-White.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-20"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5_Math_Efficacy_table2-2.png" alt="5 5 Math Efficacy Table2 2" height="1613" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5_Math_Efficacy_table2-2.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-21"> <div class="grid-x toc-header"> <div class="cell content"> <div class="headline"> <h2><a data-magellan-target="data-analyses-and-results" name="data-analyses-and-results" id="data-analyses-and-results">Data Analyses and Results</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-22"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Standard scores were used for all data analyses. Raw scores were converted to standard scores with a mean of 300 and a standard deviation of 50. Data analyses and descriptive statistics were computed for the students’ standard scores.</p> <p>For most of the comparisons, paired comparison t-tests were used to determine if differences in pretest and post test scores were significantly different. The comparisons were conducted for differences between the <em>GO Math! August 2014</em> (pretest) and the <em>GO Math! December 2014</em> (post test). The ≤.05 level of significance was used as the level at which differences would be considered statistically significant.</p> <p>In addition, effect size (Cohen’s <em>d</em>) was computed for each of the comparisons. This statistic provides an indication of the strength of the effect of the treatment regardless of the statistical significance. Interpretations of effect sizes in this report include the following guidelines: </p> <p>.20 to .49 = small<br />.50 to .79 = medium<br />.80+ = large</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-23"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="grade-2-results" name="grade-2-results" id="grade-2-results">Grade 2 Results</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-24"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Table 3 shows that the average scores of the 1,047 Grade 2 students participating in the study increased their average test scores at a statistical significant level. The effect size was substantively important and is classified as large.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-25"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Math_Efficacy_table3-1.png" alt="5 5 Math Efficacy Table3 1" height="331" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Math_Efficacy_table3-1.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-26"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>The total group of 1,047 Grade 2 students was divided into two approximately equal sized groups based on their pretest scores. The 523 students scoring lowest on the pretest were considered to be lower achieving mathematics students while the 524 scoring highest on the pretest scores were considered to be higher achieving mathematics students.</p> <p>Table 4 shows that both groups made statistically significant gains. The effect sizes for both groups were substantively important and are classified as large.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-27"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Math_Efficacy_table4-1.png" alt="5 5 Math Efficacy Table4 1" height="593" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Math_Efficacy_table4-1.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-28"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Figure 1 provides a graphic representation of the gains achieved by the Grade 2 students. In one semester, the Grade 2 students increased their average scores by 28%. The low achieving mathematics students increased their scores 35% while the high achieving mathematics students increased their scores 21%.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-29"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Go-Math_Efficacy_fig1-1.png" alt="5 5 Go Math Efficacy Fig1 1" height="849" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Go-Math_Efficacy_fig1-1.png';" loading="lazy" /> </div> <figcaption> <p><strong>FIGURE 1.</strong> Grade 2 Pretest Posttest Gain Comparison All Students, Low Pretest Students, High Pretest Students</p> </figcaption> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-30"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="grade-4-results" name="grade-4-results" id="grade-4-results">Grade 4 Results</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-31"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Table 5 shows that the average scores of the 1,000 Grade 4 students participating in the study increased their average test scores at a statistical significant level. The effect size was substantively important and is classified as large.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-32"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Math_Efficacy_table5-1.png" alt="5 5 Math Efficacy Table5 1" height="331" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Math_Efficacy_table5-1.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-33"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Based on their pretest scores, the total group of 1,000 Grade 4 students was divided into two equal sized groups of 500 students. The students scoring lowest on the pretest were considered to be lower achieving mathematics students while the students scoring highest on the pretest scores were considered to be higher achieving mathematics students.</p> <p>Table 6 shows that both groups made statistically significant gains. The effect sizes for both groups were substantively important and are classified as large.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-34"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Math_Efficacy_table6-1.png" alt="5 5 Math Efficacy Table6 1" height="593" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Math_Efficacy_table6-1.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-35"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Figure 2 provides a graphic representation of the gains achieved by the Grade 4 students. In one semester, the Grade 4 students increased their average scores by 25%. The low achieving mathematics students increased their scores 16% while the high achieving mathematics students increased their scores 14%.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-36"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Go-Math_Efficacy_fig2-1.png" alt="5 5 Go Math Efficacy Fig2 1" height="690" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Go-Math_Efficacy_fig2-1.png';" loading="lazy" /> </div> <figcaption> <p><strong>FIGURE 2.</strong> Grade 4 Pretest Posttest Gain Comparison All Students, Low Pretest Students, High Pretest Students</p> </figcaption> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-37"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="grade-6-results" name="grade-6-results" id="grade-6-results">Grade 6 Results</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-38"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Table 7 shows that the average scores of the 341 Grade 6 students participating in the study increased their average test scores at a statistical significant level. The effect size was substantively important and is classified as medium.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-39"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Math_Efficacy_table7-1.png" alt="5 5 Math Efficacy Table7 1" height="331" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Math_Efficacy_table7-1.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-40"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>The total group of 341 Grade 6 students was divided into two equal sized groups based on their pretest scores. The 170 students scoring lowest on the pretest were considered to be lower achieving mathematics students while the 171 scoring highest on the pretest scores were considered to be higher achieving mathematics students.</p> <p>Table 8 shows that both groups made statistically significant gains. The effect sizes for both groups were substantively important and are classified as large for the low scoring group and medium for the high scoring group.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-41"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Math_Efficacy_table8-2.png" alt="5 5 Math Efficacy Table8 2" height="593" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Math_Efficacy_table8-2.png';" loading="lazy" /> </div> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-42"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>Figure 3 provides a graphic representation of the gains achieved by the Grade 6 students. In one semester, the Grade 6 students increased their average scores by 8%. The low achieving mathematics students increased their scores 11% while the high achieving mathematics students increased their scores 6%.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container full" data-js-hook="media-block" data-type="component" id="body-43"> <div class="grid-x media-block background-transparent"> <div class="cell large-12"> <div class="intro-content is-hidden"> <div class="headline is-hidden"> </div> <div class="description is-hidden"> </div> </div> </div> <div class="cell large-12"> <div class="grid-container display-fillgrid"> <div class="content">   <figure class="media-block-image" data-js-hook="media-block-image" data-type="module" data-media-type="image" data-as-lightbox="false"> <div class="media-block-image-container"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/_transforms/research/_xlarge/5.5-Go-Math_Efficacy_fig3-1.png" alt="5 5 Go Math Efficacy Fig3 1" height="690" width="1280" class="not-set" onerror="this.onerror=null;this.src='https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/research/5.5-Go-Math_Efficacy_fig3-1.png';" loading="lazy" /> </div> <figcaption> <p><strong>FIGURE 3.</strong> Grade 6 Pretest Posttest Gain Comparison All Students, Low Pretest Students, High Pretest Students</p> </figcaption> </figure> </div> </div> </div> <div class="shape-container background-transparent is-hidden"></div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-44"> <div class="grid-x toc-header"> <div class="cell content"> <div class="headline"> <h2><a data-magellan-target="conclusions" name="conclusions" id="conclusions">Conclusions</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-45"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p>This study sought to determine the effectiveness of the <em>GO Math!</em> K–6 mathematics program by comparing growth on reliable and valid pretests and posttests. The study took place during the first semester of the 2014–2015 academic year and was carried out in 9 states and included 29 different schools and 118 teachers. The student population included the same percentage of students eligible as the national average. The percentage of non-White students was about 10% lower than the national average.</p> <p>Two research questions guided the study and the conclusions for each are reported below.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-46"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="research-question-1" name="research-question-1" id="research-question-1">Research Question 1</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-47"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p><em>Does the implementation of </em>GO Math!<em> Elementary Program in Grades 2–6 program lead to improved student mathematics achievement?</em></p> <p>Across all three grades mathematics student growth was statistically significant. The effect sizes at all three grades were above a substantively important level and were large at Grades 2 and 4 and medium at Grade 6.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <section class="grid-container" data-js-hook="toc-header" data-type="component" id="body-48"> <div class="grid-x toc-header"> <div class="cell content"> <div class="subheadline"> <h2><a data-magellan-target="research-question-2" name="research-question-2" id="research-question-2">Research Question 2</a></h2> </div> </div> </div> </section> <section class="grid-container" data-js-hook="copy-block" data-type="component" id="body-49"> <div class="grid-x group-label is-hidden"> <div class="cell content"> <div class="headline"> </div> </div> </div> <div class="grid-x copy-block"> <div class="cell quote content-right is-hidden"> <blockquote></blockquote> </div> <div class="cell content content-left small-12 content-block large-12"> <div class="description"><p><em>Does the implementation of </em>GO Math!<em> Elementary Program in Grades 2–6 lead to differential effects on student achievement as a function of student ability level?</em></p> <p>Across all three grades mathematics student growth for the high achieving and low achieving students was statistically significant. The effect sizes at Grades 2 and 4 were for both the high and low group students were above a substantively important level and were large at both grade levels. At Grade 6 the effect sizes were high for the low pretest scoring group and medium for the high pretest scoring group. </p> <p>On the basis of this study, both research questions can be answered positively: </p> <p>With the <em>GO Math!</em> program for students in Grades 2, 4, and 6 showed significant growth and the effect sizes were very large. </p> <p>The <em>GO Math!</em> program for elementary grade students showed significant growth for both higher ability and lower ability students in Grades 2, 4, and 6. The effect sizes for students at Grades 2 and 4 were large. At Grade 6 the effect size was large for low scoring students and medium for high scoring students.</p></div> <script async charset="utf-8" src="https://platform.twitter.com/widgets.js"></script> <script async charset="utf-8" src="https://www.instagram.com/embed.js"></script> </div> </div> </section> <div id="table-contents-body-bottom"></div> </article> </div> </section> </main> <footer class="component-footer" data-js-hook="footer" data-type="component"> <section class="footer-columns"> <div class="grid-x align-right"> <div class="cell large-offset-9 large-3 small-order-1 large-order-2"> <div class="footer-logo"> <a href="/" target="_blank" aria-label="Footer logo" rel="noopener noreferrer nofollow"> <img src="https://s3.amazonaws.com/prod-hmhco-vmg-craftcms-public/hmh-logo-white.svg" alt="HMH Logo" /> </a> </div> </div> </div> <div class="grid-x"> <div class="cell large-9 small-order-2 large-order-1"> <div class="grid-container"> <div class="grid-x medium-up-2 large-up-4"> <div 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