Which practices have evidence of effectiveness in the mathematics classroom? Where do I go to find more?
Which components of instruction time and time again have been shown to yield the best results for learning in math? The IRIS Center (Vanderbilt University) has created modules to highlight practices that have demonstrated moderate to strong evidence for boosting student outcomes in math. These practices include: explicit, systematic instruction, visual representations, schema instruction for word problems, and metacognitive strategies.
IRIS Center Modules: What is High Quality Mathematics, and Why Is It Important?
ESSENTIAL EVIDENCE-BASED INSTRUCTIONAL PRACTICES
Collective Teacher Efficacy! (Peter DeWitt, Ph.D.)
Fostering Collective Teacher Efficacy Webinar (Jenni Donohoo, Corwin)
What if All Students Were Proficient in Mathematics? (Dr. John Woodward, Voyager Sopris Learning)
Assisting Students Struggling with Mathematics: Intervention in the Early Grades (Institute of Education Sciences)
Evidence-Based Practices for Instruction (United States Department of Education)
Evidence-Based Practice Summaries (Iris Center at Vanderbilt University)
High-Impact Math Approaches at Each Phase of Learning (Corwin Learning)
Improving Mathematical Problem Solving in Grades 4 Through 8 (Institute of Education Sciences)
Mathematics Strategies to Support Intensifying Interventions (National Center on Intensive Intervention)
Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students (Institute of Education Sciences)
Teaching Math to Young Children (Institute of Education Sciences)
Ten Key Mathematics Practices for All Elementary Schools with Strong Evidence of Effectiveness From High-Quality Research (Meadows Center)
Ten Key Mathematics Practices for All Middle and High Schools With Strong Evidence of Effectiveness from High-Quality Research (Meadows Center)
Articles:
Belief-Based Versus Evidence-Based Math Assessment and Instruction: What School Psychologists Need to Know to Improve Student Outcomes (VanDerHeyden & Codding)
Taking the Guesswork out of Locating Evidence-Based Mathematics Practices for Diverse Learners (Hughes, Powell, Lembke & Riley-Tillman)
Worked Examples: How to Accelerate Student Learning (From Theory to Practice)
Vetted Websites:
Evidence-Based Intervention (EBI) Network
ADDITIONAL RESOURCES
IES Practice Guide: Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students | What Works Clearinghouse
Improving Children's Understanding of Equivalence (ICUE) | University of Notre Dame, Dept. of Psychology & Institute for Educational Initiatives
Computation of Fractions | National Center on Intensive Intervention
Division of Fractions (Fletcher)
IES Practice Guide: Developing Effective Fractions Instruction for Kindergarten through 8th Grade | What Works Clearinghouse
Importance of Fractions Instruction (Siegler)
Intensive Intervention in Mathematics: Fractions Concepts & Procedures | National Center on Intensive Intervention
Fractions, Ratios, and Percents (Cain)
Progression of Fractions (Meaning, Equivalence, Comparison) (Fletcher)
Video Example: A Tutor Shows a Student How to Add Fractions with a Step-by-Step Checklist | National Center on Intensive Intervention
John SanGiovanni, mathematics supervisor for Maryland's Howard County Public School System, underscores the elusiveness of number sense when he says, "It's not measured. It's not a specific standard. It's not a lesson." Number sense is a student's "intuitive understanding of numbers, their magnitude, relationships, and how they are affected by operations," (Learn NC, University of North Carolina). When we find students who "don't have good number sense," what can we do about it? Below are links that demonstrate how educators have gone about building number sense in their learners.
CORE Fluency & Number Sense Webinars
Daily Routines to Jump Start Math Class - Quick Overview Video | John SanGiovanni, Corwin
Daily Routines to Jump Start Math Class, Grades 3-8 | John SanGiovanni, Corwin
Daily Routines to Jump Start Math Class - Elementary
Daily Routines to Jump Start Math Class - Middle School
Daily Routines to Jump Start Math Class - High School
Estimation 180: Start Here Introduction Video
Estimation180.com | Andrew Stadel
Esti-Mysteries | Steve Wyborney
IES Practice Guide: Recommendation #4: Number Lines
Number Sense through Puzzle and Play Webinar | John SanGiovanni
Number Talks: Building Numerical Reasoning | Sherri Parrish
John Hattie, Corwin
University of Texas, at Austin
Institute of Education Sciences
Teacher Talk vs. Student Talk!