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RESOURCES BY TOPIC
ALGEBRA
IES Practice Guide: Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students | What Works Clearinghouse
DIFFERENTIATION
EVIDENCE-BASED PRACTICE
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
FLUENCY BUILDING
Kansas MTSS recommends ten minutes of computational fluency practice daily for all students. The recommendation is a direct relay of a What Works Clearinghouse publication under the direction of Dr. Russell Gersten and a panel of experts in Math interventions (Gersten, 2009). The recommendation as published is directly correlated to intervention time; however, research around basic arithmetic facts and automatic retrieval has shown such a strong correlation to future mathematical success that we recommend strengthening all students’ computational fluency for ten minutes each day. Thus it is recommended that the practice period be integrated into the core instruction as opposed to only during interventions.
This ten minute devotion is not meant to be rote memory practice; rather, automaticity must be built on the conceptual understanding underlying the computation at hand. This is done by addressing facts first through sufficient conceptual understanding instruction, mastery practice (goal of about 90% accuracy at a rate of about a fact per 2-3 seconds), and finally ensuring adequate spaced review to continue efficiency with each fact. For more specifics on this ten minute period, please refer to the Kansas MTSS '10 Minutes of Computational Fluency Brief in the resources below.
General Guidance
Building Computational Fluency Webinar (Witzel)
Building Fact Fluency Into Intervention (Powell)
Early Mathematics Fluency with CCSM (Matney)
Facts on Fire Fluency Probes | Measures and Interventions for Numeracy Development (M.I.N.D.)
Fluency and Automaticity (VanDerHeyden & Codding)
Fluency Practice ‖ Best Practice ‖ K-12 Math Instruction | Project STAIR
Fluency Resources for Grade Level Routines (K-5)) | Achieve the Core
Instructional Strategies: Intensive Intervention with Mathematics Module #5 | National Center on Intensive Intervention
Kansas MTSS Computational Fluency Brief
Kansas MTSS Computational Fluency Webinar
Instructional Hierarchy: Linking Stages of Learning to Effective Instructional Techniques | Intervention Central
Math Worksheet Generator for Math Facts | Intervention Central
Mathematics Fluency Support Grades 6-8 | EngageNY
Resources for Early Numeracy & Computation Skills | Measures & Interventions for Numeracy Development
Books
Mastering the Basic Math Facts of Addition/Subtraction & Multiplication/Division (O'Connell & SanGiovanni)
FRACTIONS INSTRUCTION
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
INTERVENTION
Academic Intervention Tools Chart | National Center on Intensive Intervention
Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades | Institute of Education Sciences
Intervention | Kansas MTSS & Alignment Math Repository
Math Intervention Curriculum List | Kansas MTSS & Alignment
LEARNING PROGRESSIONS
With the change in standards, came a greater focus on critical areas in mathematics. Within these narrowed standards, there are noted specific clusters that should be weighted in time allocations based on their importance. Many of these are a part of the progression of mathematics to algebra. As your district selects new curriculum or evaluates their current, it is important to ensure appropriate weighting of these major clusters. This is a critical subset of clusters and should be predominate during intervention instruction. With limited time to close the gap for these students, it is important to focus on objectives that will have the most effect on what is to come in their future instruction..
2017 Kansas Mathematical Standards
Achieve the Core Coherence Maps
Achieve the Core Progressions to Algebra
KSDE Progression Documents for Math Standards
PreK-8 Intervention Focus (Full Algebraic Progression Standards by Instructional Level)
Priority Instructional Content in Mathematics | Achieve the Core
MATHEMATICAL VOCABULARY / PRECISE LANGUAGE
12 Math Rules That Expire in the Middle Grades (Karp, Bush & Dougherty)
13 Rules That Expire (Karp, Bush & Dougherty)
How Do You Attend to Language Within Intensive Intervention? | National Center on Intensive Intervention
Math Language in Middle School: Be More Specific (Powell, Stevens & Hughes)
Supporting Clear and Concise Math Language: Instead of That, Say This (Hughes, Powell & Stevens)
Why Kids Should Learn the Language of Mathematics (Harbin-Miles)
MULTIPLE REPRESENTATIONS
IES Practice Guide: Use of a Well-Chosen Set of Concrete and Semi-Concrete Representations | What Works Clearinghouse
Intensive Intervention in Mathematics: Module 4 | National Center on Intensive Intervention
Kansas Assessment Program Guidelines for Using Manipulatives on the Math Assessment
Kansas Assessment Program: Resources Available to Students Taking the Math Assessment
Video Example: A Tutor and Student Use Algebra Tiles to Solve an Equation | National Center on Intensive Intervention
Video Example: A Tutor Models How to Solve a Word Problem About Change | National Center on Intensive Intervention
What Should We Consider When Teaching Students with Math Difficulties | National Center on Intensive Intervention
Concrete, representational & abstract (CRA) manipulative virtual resources:
Math Playground Virtual Manipulatives
Mathigon Polypad Virtual Manipulatives
PLANNING FOR STUDENTS NEEDING MORE INTENSIVE SUPPORT IN MATHEMATICS
The PROGRESS Center (which stands for Promoting Rigorous Outcomes and Growth by Redesigning Educational Services for Students with Disabilities Center) provides information, resources, tools, and technical assistance services to support local educators and leaders (kindergarten through transition age) in developing and implementing high-quality educational programs that ensure students with disabilities have access to free appropriate public education (FAPE) which allows them to make progress and meet challenging goals, consistent with the U.S. Supreme Court's decision in Endrew F. v. Douglas County School District (2017).
Instructional Practice Briefs | The Progress Center
Six Key Instructional Practices for Accelerating Learning and Promoting Progress for Students with Disabilities | The Progress Center
PROBLEM SOLVING
Do Not Use Key Words Word-Problem Instruction Videos | Project STAIR
Effective Word-Problem Solving Instruction: Using Schemas to Facilitate Mathematical Reasoning (Powell & Fuchs)
How Do You Incorporate Effective Problem-Solving Strategies Within Intensive Intervention? | National Center on Intensive Intervention
IES Practice Guide: Improving Mathematical Problem Solving in Grades 4 through 8 (What Works Clearinghouse)
Video Collection of Word Problem Schemas (Powell)
Video Example: A Tutor Models How to Solve a Word Problem About Change | National Center on Intensive Intervention
Video Example: A Tutor and Student Work on Word Problems | National Center on Intensive Intervention
STANDARDS FOR MATHEMATICAL PRACTICE
Mathematics Practice Standards | University of Texas at Austin
Standards for Mathematical Practice & Instructional Materials | Achieve the Core
FAMILY ENGAGEMENT
Community Math Night Facilitator's Toolkit | Institute of Education Sciences
Introduction to Community Math Nights | Institute of Education Sciences