Through the medium of word problems, these books are designed to help teachers and students develop and employ operation sense, meaning to understand the meaning of multiplication and division, in the context of solving problems in a coherent way. The books support teachers in scaffolding the use of word problems and provides practical examples for introducing students to verbal, contextual, concrete, visual, and symbolic representations, helping students make sense of the operations (both conceptually and algorithmically) across elementary and middle grades mathematics.

Help students reveal the math behind the words

Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution.



Mathematize It!
shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem's context, and employ strong operation sense to solve it.



This user-friendly resource for Grades 3-5



* Offers a systematic mathematizing process for solving word problems

* Provides specific examples for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals

* Demonstrates the use of concrete manipulatives to model problems with dozens of short videos





"This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources."

John SanGiovanni
Coordinator, Elementary Mathematics
Howard County Public School System, Ellicott City, MD


Help students reveal the math behind the words


"I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems.

Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution.  Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them.

Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem.
 
Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2

·         Offers a systematic mathematizing process for students to use when solving word problems

·         Gives practice opportunities and dozens of problems to leverage in the classroom

·         Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division

·         Demonstrates the use of concrete manipulatives to model problems with dozens of short videos

·         Includes end-of-chapter activities and reflection questions

How can you help your students understand what is happening mathematically when solving word problems? Mathematize it! 



In this book, John Hattie, Doug Fisher, Nancy Frey, team up with mathematics experts Linda M. Gojak, Sara Delano Moore, and William Mellman to walk teachers through the key research-based moves they should focus on in their mathematics classrooms - those with the highest effect sizes in the phases of surface, deep, and transfer learning. In accessible, every-day language, they offer their best guidance to teachers on what surface, deep, and transfer learning mean, look, and sound like in the mathematics context. How to ensure teacher clarity through setting meaningful learning intentions and success criteria that build on prior learning, and by continually checking for understanding.

Leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every elementary school mathematics student.



In high-impact mathematics instruction, it's not only what works, but when. This hands-on sequel to Visible Learning for Mathematics puts visible learning strategies in action in K - 2 classrooms to help teachers leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

In high-impact mathematics instruction, it's not only what works, but when. This hands-on sequel to Visible Learning for Mathematics puts visible learning strategies in action using grade-leveled examples and a decision-making matrix.



In high-impact mathematics instruction, it's not only what works, but when. This hands-on sequel to Visible Learning for Mathematics puts visible learning strategies in action in high school classrooms to help teachers leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

It’s time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students!


It’s time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students!