Research Based/High Leverage/Evidence Based Practices
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Description: Explicit instruction is an evidence-based practice that any teacher can use in his or her own math class to engage learners and ensure that they are mastering the material. A key component of explicit instruction is making sure to ask a variety of questions, both low level and high level. In How to Ask the Right Questions in Math, Erica Mason, from the University of Missouri, discusses the different types of questions and why both are so critical to ensuring that all students are learning. In...
Description: SDI Spotlight – Mathematics: Algebraic Concepts (VDOE TTAC at GMU), SDI Spotlight – Mathematics: Geometry (VDOE TTAC at GMU), SDI Spotlight – Mathematics: Integer Operations (VDOE TTAC at GMU), SDI Spotlight – Mathematics: Place Value, Decimals, Percent (VDOE TTAC at GMU), SDI Spotlight – Mathematics: Rational Number Operations (VDOE TTAC at GMU), SDI Spotlights in Mathematics: Whole Number Operations (VDOE TTAC at GMU)
Description: SDI Spotlight - Algebraic Concepts - SDI Spotlights in Mathematics focus on research- and evidence-based Concrete-Representational-Abstract (CRA) method in mathematics practices in whole number operations, rational numbers, place value and decimals, algebraic concepts, and geometry. Brief videos demonstrating specific CRA method strategies and lesson plans are shared. Explicit Instruction Checklist, Progress monitoring forms, and other information about the strategy are shared. Information...
Description: SDI Spotlight - Place Value Decimals Percent - SDI Spotlights in Mathematics focus on research- and evidence-based Concrete-Representational-Abstract (CRA) method in mathematics practices in whole number operations, rational numbers, place value and decimals, algebraic concepts, and geometry. Brief videos demonstrating specific CRA method strategies and lesson plans are shared. Explicit Instruction Checklist, Progress monitoring forms, and other information about the strategy are shared....
Description: SDI Spotlight - Geometry - SDI Spotlights in Mathematics focus on research- and evidence-based Concrete-Representational-Abstract (CRA) method in mathematics practices in whole number operations, rational numbers, place value and decimals, algebraic concepts, and geometry. Brief videos demonstrating specific CRA method strategies and lesson plans are shared. Explicit Instruction Checklist, Progress monitoring forms, and other information about the strategy are shared. Information and...
Description: SDI Spotlight - Integer Operations - SDI Spotlights in Mathematics focus on research- and evidence-based Concrete-Representational-Abstract (CRA) method in mathematics practices in whole number operations, rational numbers, place value and decimals, algebraic concepts, and geometry. Brief videos demonstrating specific CRA method strategies and lesson plans are shared. Explicit Instruction Checklist, Progress monitoring forms, and other information about the strategy are shared. Information...
Description: SDI Spotlight - Mathematics Rational Number Operations - SDI Spotlights in Mathematics focus on research- and evidence-based Concrete-Representational-Abstract (CRA) method in mathematics practices in whole number operations, rational numbers, place value and decimals, algebraic concepts, and geometry. Brief videos demonstrating specific CRA method strategies and lesson plans are shared. Explicit Instruction Checklist, Progress monitoring forms, and other information about the strategy are...
Description: SDI Spotlight - Mathematics Whole Number Operations - SDI Spotlights in Mathematics focus on research- and evidence-based Concrete-Representational-Abstract (CRA) method in mathematics practices in whole number operations, rational numbers, place value and decimals, algebraic concepts, and geometry. Brief videos demonstrating specific CRA method strategies and lesson plans are shared. Explicit Instruction Checklist, Progress monitoring forms, and other information about the strategy are...
Description: Mastery of early math concepts is associated with such later achievements as middle school grades, high school graduation, and career opportunities (Garcia & Weiss, 2017). Given the importance of early math, REL Appalachia created the Community Math Night Facilitators' Toolkit as a detailed resource for K–5 elementary school educators to plan and implement a Community Math Night event. Community Math Nights use research-based, interactive math activities to engage families in building...
Description: When teaching students who have difficulties in mathematics, it is important to incorporate instructional practices that have been shown, through evidence, to improve outcomes. Three evidence-based strategies for mathematics instruction are visual representations, metacognitive strategies, and schema instruction.
Description: Intensive Intervention in Mathematics Course Content NCII, through a collaboration with the University of Connecticut and the National Center on Leadership in Intensive Intervention and with support from the CEEDAR Center, developed course content focused on enhancing educators’ skills in intensive mathematics intervention. The course includes eight modules that can support faculty and professional development providers with instructing pre-service and in-service educators who are learning...
Description: Most people don't realize it, but the words that we use to teach a concept have a huge impact upon students learning. Math is an especially tricky area where teachers must be precise and use the right word or they could confuse their students. Sarah Powell examines both the challenges of using proper mathematical language as well as strategies and examples to help teachers use precise and specific language to help students learn math. These videos part of Project STAIR, an online resource for...
Description: This module, the second in a series of three, discusses implementing an evidence-based practice or program with fidelity (est. completion time: 1 hour). Before completing this module, consider visiting part one. When you have finished parts one and two, proceed to part three.
Description: This module, the second in a series on intensive intervention, offers information on making data-based instructional decisions. Specifically, the resource discusses collecting and analyzing progress monitoring and diagnostic assessment data. Developed in collaboration with the National Center on Intensive Intervention at American Institutes for Research and the CEEDAR Center, this resource is designed for individuals who will be implementing intensive interventions (e.g., special education...
Description: This module describes the MTSS, or RTI, framework as applied to mathematics. It includes discussions of how MTSS and RTI are related, as well as a description of instruction, assessment, and data-based decision making at each level of intensity: Tier 1, Tier 2, and Tier 3 (est. completion time: 2.5 hours).
Description: This resource introduces users to progress monitoring in mathematics, a type of formative assessment in which student learning is evaluated to provide useful feedback about performance to both learners and teachers (est. completion time: 2 hours).
Description: Evidence-Based Practices (Part 1): Identifying and Selecting a Practice or Program Module -This module, the first in a series of three, discusses the importance of identifying and selecting evidence-based practices (est. completion time: 1.5 hours). When you have completed the module, be sure to visit parts two and three.
Description: Intensive Intervention (Part 1): Using Data-Based Individualization To Intensify Instruction Module - This module, first in a series of two, overviews data-based individualization and provides information about adaptations for intensifying and individualizing instruction. Developed in collaboration with the National Center on Intensive Intervention at American Institutes for Research and the CEEDAR Center, this resource is designed for individuals who will be implementing intensive interventions...
Description: This practice guide from IES provides evidence-based practices that can help teachers tailor their instructional approaches and/or their mathematics intervention programs to meet the needs of their students. Lynn Fuchs, NCII advisor, chaired the panel that developed this guide, which presents six recommendations to move students toward more fluent performance of mathematics, “how-to steps” to carry out the recommendations, and potential obstacles and challenges to implementation.
Description: Dr. Powell’s website provides resources and information about evidence- based practices, including links to virtual manipulatives.
Description: WWC products allow educators to better understand what works in different contexts. WWC intervention reports show which tools increase mathematics achievement by grade, while WWC practice guides show effective practices for topics such as fractions.
Description: The EBI Network math team (Dr. Erica Lembke at the University of Missouri, Dr. Sarah Powell at the University of Texas, Dr. Pamela Seethaler at Vanderbilt University and Elizabeth Hughes at Duquesne University) has developed a framework to present math interventions that incorporates both a focus on content area (e.g. Counting & Cardinality or Operations & Algebraic Thinking) and the type of problem the child is having (acquisition, proficiency or generalization).
Description: The following MSTAR Equivalent Fraction Intervention lessons target struggling Tier 2 students. The intervention lessons provide a concrete structure to help students learn the foundational skills necessary for success in increasingly complex mathematics curricula. The intervention lessons do not have a recommended time limit, as students may move at varying paces, depending on prior experience with the content. We estimate that each intervention lesson will take at least 30 minutes and...
Description: Through this Course Enhancement Module (CEM), participants will learn about assessment tools and intervention practices that should be integrated into a comprehensive, evidence-based math intervention program within the Response to Intervention (RTI) framework. The assessment tools and intervention practices are research-based and involve multiple levels of support (including schoolwide, classwide, small-group and individual levels of support) using data-based decision making. As participants...
Description: The Supporting All Students Resource Guides were designed through collaboration between the New York State Education Department and partners in the field. The purpose of these guides is to provide teachers with examples of scaffolds and strategies to supplement their instruction of English language arts (ELA) and mathematics curricula. The guides use the EngageNY ELA and mathematics modules as exemplars since they are free and open source curricula available for all New York State...
Description: This recorded webinar: Schema Based Instruction for Problem Solving provides an overview of schema based instruction and how it can be used effectively for teaching problem solving to students with disabilities in mathematics.
Description: Recorded Webinar: Evidence Based Specially Designed Instruction in Mathematics - This 90-minute webinar highlighted the strategies found in new VDOE resources that detail mathematics supports and strategies educators can use to enhance instruction for students with disabilities in mathematics. This webinar highlighted strategies found in the Students with Mathematics Disabilities: Frequently Asked Questions and the Evidenced Based Specially Designed Instruction in Mathematics Resource Guide.
Description: (K-8, Algebra I, Geometry, Algebra II) These resources are provided to support teachers in implementing the 2016 Mathematics Standards of Learning in their classrooms. Teachers are encouraged to not only use these tasks with their students, but also to endeavor to implement them with fidelity by utilizing the detailed information provided in the task implementation templates. Planning for Remote Implementation of Rich Mathematical Tasks guidance document is attached and...
Description: Learning Disabilities in Mathematics - In Virginia, mathematics disability is recognized as one of the conditions under the category of Specific Learning Disability (SLD). Evidence-Based Specially Designed Instruction in Mathematics Resource Guide provides an overview of evidence-based instructional strategies that educators can utilize to support students with mathematics disability or difficulty at any grade. Importantly, the strategies outlined in this document are targeted at...
Description: NCII is housed at the American Institutes for Research, and works in conjunction with many of our nation's most distinguished data-based individualization (DBI) experts. It is funded by the U.S. Department of Education's Office of Special Education Programs (OSEP) and is part of OSEP's Technical Assistance and Dissemination Network (TA&D). The mission of the NCII is to build knowledge and capacity of state and local leaders, faculty and professional development providers, educators, and...
Description: Virtual Virginia is a program of the Virginia Department of Education that provides flexible digital education opportunities to students and educators throughout the Commonwealth of Virginia. Virtual Virginia offers online professional learning opportunities for all Virginia Public school educators at no cost. VVA's fully online professional learning opportunities include webinars, courses, certifications, workshops, conferences, and the VVA Professional Learning Network.
Description: "Instead of intervention in children with disabilities, let’s do some intervention in the way we teach math.My vision is to create classrooms in which all kids are able to become mini mathematicians, modeling their world through mathematics. This requires that we design an intervention into how we currently teach mathematics to children. This website is a place to learn about innovative approaches to disability (neurodiversity, Universal Design for Learning, and Disability Studies in...
Description: High-Quality Mathematics Instruction: What Teachers Should Know - This module describes the components of high-quality mathematics instruction: a standards-based curriculum and evidence-based practices. It also highlights a number of evidence-based practices as well as other classroom practices that teachers can use to teach mathematics (est. completion time: 1.5 hours). Module Objectives • After completing the entire Perspectives & Resources section and reviewing the...
Description: Mathematics Instructional Plans (MIPs) help teachers align instruction with the 2016 Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom. Co-Teaching Mathematics Instructional Plans utilize the six common co-teaching approaches: teaming, station teaching, parallel teaching, alternative teaching, one teaching/one assisting, and one teaching/one...
Description: According to Regulations Governing Special Education Programs for Children with Disabilities in Virginia, Least Restrictive Environment (LRE) means that to the maximum extent appropriate, children with disabilities, including children in public or private institutions or other care facilities, are educated with children who are not disabled, and that special classes, separate schooling or other removal of children with disabilities from the regular educational environment occurs only when...
Description: Khan Academy provides: Personalized learning - Students practice at their own pace, first filling in gaps in their understanding and then accelerating their learning. Trusted content - Created by experts, Khan Academy’s library of trusted, standards-aligned practice and lessons covers math K-12 through early college, grammar, science, history, AP®, SAT®, and more. It’s all free for learners and teachers. Tools to empower teachers - With Khan Academy, teachers can identify...
Description: PowerUp Your Classroom Personalize instruction with evidence-based strategies and accessible technology to meet the needs of diverse learners. PowerUp Your Professional Development A successful technology implementation process depends on having school and district leaders work together as a Leadership Team to drive change, achieve results, and promote sustainability. PowerUp Your School A successful technology implementation process depends on having school and district leaders work...
Description: These research summaries covering instructional strategies and interventions offer information that includes level of effectiveness as well as the age groups for which a given strategy or intervention is designed. Links to the original reports are also provided for those who might wish to explore further. Summaries are available on the following topics: Assessment (includes progress monitoring), Behavior and Classroom Management, Content Instruction, Diversity, Early intervention/Early...
Description: This practice guide provides five recommendations for teaching math to children in preschool, prekindergarten, and kindergarten. Each recommendation includes implementation steps and solutions for common roadblocks. The recommendations also summarize and rate supporting evidence. This guide is geared toward teachers, administrators, and other educators who want to build a strong foundation for later math learning.
Description: This publication provides research-based guidance that reflects "best practices" for intensifying instruction in reading and mathematics for students with significant learning difficulties in K-12, including students with disabilities. It can also be used as a resource for instructional specialists and special education teachers who are searching for broad guidelines on the design and delivery of intensive interventions.Related to this document is Designing and Delivering Intensive...
Description: The Best Evidence Encyclopedia (BEE) is a free website created by the Johns Hopkins University School of Education’s Center for Research and Reform in Education (CRRE). It is intended to give educators and researchers fair and useful information about the strength of the evidence supporting a variety of programs available for students in grades K-12. The BEE mostly consists of systematic meta-analyses of research on effective programs in reading, mathematics, writing, science, early...
Description: The What Works Clearinghouse (WWC) reviews the existing research on different programs, products, practices, and policies in education. Our goal is to provide educators with the information they need to make evidence-based decisions. We focus on the results from high-quality research to answer the question “What works in education?” Topics include: Literacy, Mathematics, Science, Behavior, Children and Youth with Disabilities, English Learners, Teacher...
Description: The National Library of Virtual Manipulatives (NLVM) is an NSF supported project that began in 1999 to develop a library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for math instruction (K-12 emphasis). What is Matti Math? The NLVM Computer App is an enhanced offline version of the NSF supported National Library of Virtual Manipulatives (NLVM) for K-12 mathematics. It boasts an NSF supported library of uniquely interactive...
Description: Illuminations is a project designed by the National Council of Teachers of Mathematics (NCTM). Illuminations works to serve you by increasing access to quality standards-based resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers. Our Resources Lessons and interactives searchable by NCTM’s Principles and Standards and by the Common Core State Standards. Over 700 lesson plans Over 50 activities; these are...
Description: Schools today face the challenge of providing appropriate services to a diverse and increasingly numerous student population diagnosed with autism spectrum disorder. In order to achieve this goal, evidence-based practice is essential in the schools. To assist school professionals as they strive to help these students reach their potential, the National Autism Center has produced a comprehensive 245-page manual, Evidence-Based Practice and Autism in the Schools. This invaluable resource...
Description: This project has developed a variety of planners to help teachers plan accessibility strategies for lessons from their mathematics curricula. The planners provide guiding questions for identifying mathematical goals, potential barriers, and strategies to enable students to reach the goals. They have used these planners in workshop activities as a way to analyze lessons and brainstorm accessibility strategies. Note: You will be asked to register at no cost before downloading the documents.
Description: This section includes: Accessibility Strategies to Consider, Guiding Operations for Accessibility Strategies and Accessibility Tool List. Note: You will be asked to register at no cost before downloading the documents.
Description: The NCES Kids' Zone provides information to help you learn about schools; decide on a college; find a public library; engage in several games, quizzes and skill building about math, probability, graphing, and mathematicians; and to learn many interesting facts about education.
Description: This module discusses the importance of selecting evidence-based practices and programs. It also examines actions that school personnel can take to increase the likelihood that the practice or program is implemented as it was designed (est. completion time: 3 hours).
Description: The RMC Research Corporation's Center on Instruction (COI) website is your gateway to a cutting-edge collection of research-based resources on instruction.While these resources are useful for improving the achievement of all students, they particularly target students in the lowest performing schools, students with difficulties learning mathematics, students needing intensive instruction, or special needs/diverse learners, including English language learners. This site includes information on...