Resource Library

A synthesis of empirical research on teaching mathematics to low-achieving students

Research
Standards: Construct Viable Arguments • Make Sense of Problems
This meta-analysis synthesizes the research on the effects of interventions designed to improve mathematics achievement of students considered low achieving or at risk for failure. It examined the...

Developing effective fractions instruction for kindergarten through 8th grade: A practice guide

Research
Standards: Math • Reason Abstractly
This practice guide presents five recommendations to help educators improve students? understanding of fractions. It features strategies to develop young children?s understanding of early fraction...

Direct instruction in math word problems: Students with learning disabilities

Research
Standards: Reason Abstractly • Model with Mathematics • Use Appropriate Tools Strategically • Make Sense of Problems
The study investigated the effectiveness of strategy teaching and sequencing practice problems when teaching students with learning disabilities (LD) how to solve word problems. Students were...

Effects of mathematical word problem solving by students at risk or with mild disabilities

Research
Subscription Required: No
Standards: Model with Mathematics • Attend to Precision • Make Sense of Problems
The purpose of this study is two-fold. First, the researchers sought to assess the effectiveness of two instructional strategies, an explicit schema-based strategy and a traditional basal strategy,...

Effects of self-explanation as a metacognitive strategy for solving mathematical word programs

Research
Standards: Make Sense of Problems • Reason Abstractly • Construct Viable Arguments • Attend to Precision
The study examined the effects of a metacognitive strategy (i.e., self-explanation) on elementary school students’ ability to solve word problems. Students were assigned to one of three conditions: (...

Explicit instruction in mathematics problem solving

Research
Subscription Required: No
Standards: Model with Mathematics • Attend to Precision • Make Sense of Problems
This study examined the effectiveness of the explicit translation strategy method that explicitly teaches fourth-graders to translate word story problems into mathematical equation form. The study...

Introduction to Thinking Aloud 508 Compliant Slideshow

Slideshow
Subscription Required: No
Standards: Reason Abstractly
This is a 508 compliant version of the Overview Slideshow found in the Instructional Strategy Guide for Math: Thinking Aloud. 

Math Think-Alouds

Article
Standards: Make Sense of Problems • Reason Abstractly • Use Appropriate Tools Strategically • Construct Viable Arguments
Math Think-Alouds engage students and help them make their way step-by-step through a solution process, reasoning right along with you and can be used effectively both in school and at home....

Quick View: Virtual Manipulatives

Quick View
Subscription Required: No
Standards: Make Sense of Problems • Reason Abstractly • Model with Mathematics • Use Appropriate Tools Strategically
In the past, most classrooms only had physical manipulatives. Today, more classrooms have improved access to computers and the Internet. As a result, virtual manipulatives are becoming more common....

Research on Math Practices

Bibliography
The PowerUp WHAT WORKS Team at the Center for Technology Implementation, has conducted extensive reviews of the literature on mathematics teaching and learning. View our bibliography for a collection...

Strategy training and attributional feedback with learning disabled students

Research
Standards: Construct Viable Arguments • Reason Abstractly
The study explored strategies of verbalization and effort-attributional feedback on student self- efficacy and skills. Grounded in the hypothesis that verbalization enhances learning outcomes, the...

Thinking Allowed: Helping Students Organize Out Loud to Solve Math Problems

Tools and Templates
Subscription Required: No
Standards: Make Sense of Problems • Make Use of Structure
Finding and understanding patterns is crucial to mathematical thinking and problem solving. It is easier for students to understand patterns when they organize their information. Struggling students...

Thinking Aloud: Fractions Assessment

Lesson in Action
Standards: Reason Abstractly
Mrs. Jackson’s Grade 6 class has been working on a fractions, rates, and ratios unit. Yesterday she gave the class a quiz to assess her students’ understanding. After reviewing the results, she wants...

Thinking Aloud: Number Crunching

Lesson in Action
Standards: Reason Abstractly
Mrs. Jefferson’s 5th grade class can be reluctant to describe aloud the steps they follow to find an answer. In this lesson, students will begin practicing the thinking aloud strategy and learn the...

UDL Guidelines -- Checkpoint 6.2 Support planning and strategy development

Tools and Templates
Standards: Use Appropriate Tools Strategically • Construct Viable Arguments
An important skill for students in any content area, and especially in math, is the ability to think aloud and demonstrate how they arrived at an answer. UDL Checkpoint 6.2's examples, resources, and...

Using CRA to teach algebra to students with math difficulties in inclusive settings

Research
Standards: Reason Abstractly • Model with Mathematics • Make Sense of Problems
This study compared student achievement in solving liner algebraic functions using a concrete- to-representational-to-abstract (CRA) sequence of instruction and a repeated abstract explicit...

Using Mathematics Think Aloud: A Field-Identified Teaching Strategy for English Language Learners with Disabilities

Webinar
Standards: Make Sense of Problems
This webinar presents teacher insights on the Mathematics Think-Aloud strategy. The Think-Aloud strategy is one of four research-based teaching strategies designed from the practices of teachers who...

Using PowerUp for PD: Thinking Aloud

Professional Development Support Material
Standards: Reason Abstractly
Find general directions, suggested activities, and support materials/activities for the Slide Show, Teach with Tech, and the Lessons in Action to use in your professional development.