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Mathematize It! [Grades K-2]: Going Beyond Key Words to Make Sense of Word Problems, Grades K-2: Corwin Mathematics Series
Autor Kimberly Morrow-Leong, Sara Delano Moore, Linda M. Gojaken Limba Engleză Paperback – 25 aug 2020
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 K-2
· Offers a systematic mathematizing process for solving word problems
· 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
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Specificații
ISBN-13: 9781544389851
ISBN-10: 154438985X
Pagini: 232
Dimensiuni: 216 x 279 x 17 mm
Greutate: 0.66 kg
Ediția:First Edition
Editura: SAGE Publications
Colecția Corwin
Seria Corwin Mathematics Series
Locul publicării:Thousand Oaks, United States
ISBN-10: 154438985X
Pagini: 232
Dimensiuni: 216 x 279 x 17 mm
Greutate: 0.66 kg
Ediția:First Edition
Editura: SAGE Publications
Colecția Corwin
Seria Corwin Mathematics Series
Locul publicării:Thousand Oaks, United States
Recenzii
“One of the most important goals of K–2 math education should be developing a robust understanding of addition and subtraction that can serve as a foundation for later learning. In Mathematize It! Morrow-Leong, Moore, and Gojak help teachers transform solving word problems from an activity focused on getting answers to an activity that supports students’ understanding of the mathematical principles of the operations. Teaching
suggestions are integrated throughout the book in a manner that allows teachers to make adaptations to meet the needs of their students. This book belongs on every primary grade teachers’ bookshelf.”
“Kim Morrow-Leong, Sara Delano Moore, and Linda Gojak have written an essential guide for teachers of grade K–2 mathematics—both those new to the field and those with many years of experience. Read this book and learn how to help students develop a deep understanding of the mathematical principles behind each operation—in other words, effectively help students learn to mathematize problem situations.”
“Help your students get into the messy fun of true problem solving, where the goal is to make sense of the world—not just arrive at an answer! Mathematize It! will engage you in the nuance and power of teaching through context. You’ll be surprised and delighted by the student examples, inspired by the teacher commentary, and ready to craft story problems that uncover the big ideas of your grade.”
“Mathematize It! is a must-have resource for teachers and teacher leaders. In this comprehensive resource the authors not only introduce a new verb—mathematize—to the primary teacher’s vocabulary, they also provide teachers with a ‘go-to guide’ for teaching problem solving. Features such as the Mathematizing Sandbox as a problem-solving model, the emphasis on the use of multiple representations, and the integration of children’s literature provide teachers with instructional tools to help students develop a strong operation sense.”
“The list of generational math books to come along and truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It! to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It! will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!”
“Mathematize It! is a must-read for anyone who has struggled to teach word problems and is ready to figure out what really works. The authors present a plethora of strategies that help students focus on the thinking part of the problem-solving process while gently helping the reader understand that so many of our ‘tried-and-true’ methods, such as key words, really don’t work. They help us realize that the real work of solving word problems is in the sense-making phase—once students have made sense of a problem, calculating the solution is the simpler part of the process.”
“Mathematize It! addresses the complexity of problem solving more completely than any other individual resource. It is easy to say that we must teach students to ‘mathematize situations’ but this book helps us to actually help students learn to do it. The challenge and reflection pieces at the end of each chapter are a game changer for unveiling teaching opportunities, prompting discussion in your PLC, and moving this from a book on the professional shelf to a powerful tool to impact instruction.”
“Mathematize It! is a book that should be on the shelf of every classroom teacher and division leader who supports mathematics teaching and leading. This valuable resource helps educators to think about the what, why, and the how to make sense of word problems. It gives a framework and visuals on how to support teachers’ understanding around problem types and solving problems and excels in assisting teachers in how to make a commitment to teaching for greater understanding.”
“This is a game changer . . . even after 20 years of supporting students and their sensemaking of word problems, I am thrilled to learn even more from this trio of authors. They offer practical suggestions, opportunities for practice, and relevant research in order to increase awareness of best practices surrounding word problems. The only key word in this case is MATHEMATIZE! To have this resource in your hands is to have an invitation to the ‘mathematizing sandbox’.”
“This dynamic author trio brings years of classroom experiences to one of the central problems of teaching and learning mathematics: making sense of word problems. Focusing on the construct of ‘mathematizing’—drawing, constructing, describing, representing, and making sense of situations—
this clear and practical guide needs to be required reading and discussion fodder for every elementary teacher of mathematics. It’s just that clear, informative, and insightful!”
“As our students begin to mathematize the world around them, it becomes extremely important that we listen to their thinking so that we can continue to move their understanding forward. What makes Mathematize It! such a useful tool for teachers is that it thoughtfully unpacks student strategies, which helps inform and guide our next move as a classroom teacher.”
“Mathematize It! engages readers deeply in the mathematics content through an easy-to-use visual analogy: playing in a sandbox. The authors have found a way to make problem-solving seem like a fun task—one that is akin to something we’ve all been doing forever: playing. Their clever and applicable problem-solving model of thinking provides a structure teachers can use to support students in tackling word problems and actually enjoying the process. It’s time for you to play in the sandbox and more importantly, Mathematize It!”
“The authors provide a detailed and practical guide on how to take a word problem, uncover the mathematics embedded in it, carefully consider representations, and use it all to solve the problem. The reader begins to realize that all models are not created equal. The authors’ careful attention to the nuances within mathematical relationships illustrates how mathematizing differs from answer getting, yet shows us that ideas like operation sense and computation are related. The authors’ plain-language explanations empower us to leverage those relationships in order to help students become better mathematicians.”
“I can’t wait to use Mathematize It! in my work with teachers and students! The excellent examples, including actual student work and teacher commentaries, highlight the complexity of the problem situations in a way that is clear and usable for classroom teachers and for those of us who support them. The focus on operation sense, understanding the role that each quantity plays, and connecting representations to problems makes this a must read for anyone helping students become successful problem solvers. I especially appreciate the inclusion of non-whole-number examples!”
“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.”
“Finally! An answer for equipping students in making sense of word problems. Mathematize It! clarifies the challenges in problem solving and gives concrete steps and advice on understanding problem contexts and the mathematics involved. The examples, student work, and videos throughout the book bring ideas to life, and make their implementation doable. This is a must-read for every math teacher who desires their students to truly understand the role of mathematics in the world.”
“Leaving behind the procedures and the gimmicks, Mathematize It! will effectively help develop teachers’ understanding of problem types and the pedagogical techniques necessary to teach students how to solve problems through understanding. Using comprehension strategies and varied representations are key to student success with contextualized computation. The sandbox notes, structured techniques, and videos make this book very teacher friendly. The ideas are easily transferable to the mathematics classroom.”
suggestions are integrated throughout the book in a manner that allows teachers to make adaptations to meet the needs of their students. This book belongs on every primary grade teachers’ bookshelf.”
“Kim Morrow-Leong, Sara Delano Moore, and Linda Gojak have written an essential guide for teachers of grade K–2 mathematics—both those new to the field and those with many years of experience. Read this book and learn how to help students develop a deep understanding of the mathematical principles behind each operation—in other words, effectively help students learn to mathematize problem situations.”
“Help your students get into the messy fun of true problem solving, where the goal is to make sense of the world—not just arrive at an answer! Mathematize It! will engage you in the nuance and power of teaching through context. You’ll be surprised and delighted by the student examples, inspired by the teacher commentary, and ready to craft story problems that uncover the big ideas of your grade.”
“Mathematize It! is a must-have resource for teachers and teacher leaders. In this comprehensive resource the authors not only introduce a new verb—mathematize—to the primary teacher’s vocabulary, they also provide teachers with a ‘go-to guide’ for teaching problem solving. Features such as the Mathematizing Sandbox as a problem-solving model, the emphasis on the use of multiple representations, and the integration of children’s literature provide teachers with instructional tools to help students develop a strong operation sense.”
“The list of generational math books to come along and truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It! to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It! will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!”
“Mathematize It! is a must-read for anyone who has struggled to teach word problems and is ready to figure out what really works. The authors present a plethora of strategies that help students focus on the thinking part of the problem-solving process while gently helping the reader understand that so many of our ‘tried-and-true’ methods, such as key words, really don’t work. They help us realize that the real work of solving word problems is in the sense-making phase—once students have made sense of a problem, calculating the solution is the simpler part of the process.”
“Mathematize It! addresses the complexity of problem solving more completely than any other individual resource. It is easy to say that we must teach students to ‘mathematize situations’ but this book helps us to actually help students learn to do it. The challenge and reflection pieces at the end of each chapter are a game changer for unveiling teaching opportunities, prompting discussion in your PLC, and moving this from a book on the professional shelf to a powerful tool to impact instruction.”
“Mathematize It! is a book that should be on the shelf of every classroom teacher and division leader who supports mathematics teaching and leading. This valuable resource helps educators to think about the what, why, and the how to make sense of word problems. It gives a framework and visuals on how to support teachers’ understanding around problem types and solving problems and excels in assisting teachers in how to make a commitment to teaching for greater understanding.”
“This is a game changer . . . even after 20 years of supporting students and their sensemaking of word problems, I am thrilled to learn even more from this trio of authors. They offer practical suggestions, opportunities for practice, and relevant research in order to increase awareness of best practices surrounding word problems. The only key word in this case is MATHEMATIZE! To have this resource in your hands is to have an invitation to the ‘mathematizing sandbox’.”
“This dynamic author trio brings years of classroom experiences to one of the central problems of teaching and learning mathematics: making sense of word problems. Focusing on the construct of ‘mathematizing’—drawing, constructing, describing, representing, and making sense of situations—
this clear and practical guide needs to be required reading and discussion fodder for every elementary teacher of mathematics. It’s just that clear, informative, and insightful!”
“As our students begin to mathematize the world around them, it becomes extremely important that we listen to their thinking so that we can continue to move their understanding forward. What makes Mathematize It! such a useful tool for teachers is that it thoughtfully unpacks student strategies, which helps inform and guide our next move as a classroom teacher.”
“Mathematize It! engages readers deeply in the mathematics content through an easy-to-use visual analogy: playing in a sandbox. The authors have found a way to make problem-solving seem like a fun task—one that is akin to something we’ve all been doing forever: playing. Their clever and applicable problem-solving model of thinking provides a structure teachers can use to support students in tackling word problems and actually enjoying the process. It’s time for you to play in the sandbox and more importantly, Mathematize It!”
“The authors provide a detailed and practical guide on how to take a word problem, uncover the mathematics embedded in it, carefully consider representations, and use it all to solve the problem. The reader begins to realize that all models are not created equal. The authors’ careful attention to the nuances within mathematical relationships illustrates how mathematizing differs from answer getting, yet shows us that ideas like operation sense and computation are related. The authors’ plain-language explanations empower us to leverage those relationships in order to help students become better mathematicians.”
“I can’t wait to use Mathematize It! in my work with teachers and students! The excellent examples, including actual student work and teacher commentaries, highlight the complexity of the problem situations in a way that is clear and usable for classroom teachers and for those of us who support them. The focus on operation sense, understanding the role that each quantity plays, and connecting representations to problems makes this a must read for anyone helping students become successful problem solvers. I especially appreciate the inclusion of non-whole-number examples!”
“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.”
“Finally! An answer for equipping students in making sense of word problems. Mathematize It! clarifies the challenges in problem solving and gives concrete steps and advice on understanding problem contexts and the mathematics involved. The examples, student work, and videos throughout the book bring ideas to life, and make their implementation doable. This is a must-read for every math teacher who desires their students to truly understand the role of mathematics in the world.”
“Leaving behind the procedures and the gimmicks, Mathematize It! will effectively help develop teachers’ understanding of problem types and the pedagogical techniques necessary to teach students how to solve problems through understanding. Using comprehension strategies and varied representations are key to student success with contextualized computation. The sandbox notes, structured techniques, and videos make this book very teacher friendly. The ideas are easily transferable to the mathematics classroom.”
Cuprins
Publisher's Acknowledgements
Table of Contents
Video List
About the Authors
Introduction: Why You Need to Teach Students to Mathematize
Problem Solving Strategies Gone Wrong
What is Mathematizing? Why Is It Important
Focus on Operation Sense
Using Mathematical Representations
Teaching Students to Mathematize
Building your Understanding of Operations and Related Problem Situations
Playing in the Mathematizing Sandbox: A Problem-Solving Model
Final Words Before You Dive
Chapter 2: Moving From Counting to Addition & Subtraction
Thinking About Counting, Addition, and Subtraction
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problem
The Development of Courting
Counting or Add-To?
Representing Problem Situations or Representing Answers
Using Children's Literature to Explore add-To and Take From Situations
Transcribe the Action or Relationship
Moving beyond Twenty
Students and Teachers Think About the Problems
Representing Problem Situations Multiple Ways
Translating the Five Relationships: Try It Out
Teaching Students to Use Concrete and Pictorial Models
Key Ideas
Try It Out!
Identify the Principle
Write the Problem
Change It Up
Reflect
Chapter 3: Add-To Problems: Locating the Change
Thinking About Active Addition Situations
Thinking About Active Addition Situations
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problems
Finding the Unknown, Three Story Structures
Story Structures: Implications for Teaching
Modeling the Active Problem Situation
Model Actions
Distinguish Pictures from Pictorial Representation
Identify Important Features
Creatively Meet Students' Needs
Using Children's Literature to Explore Add-To Problems
Make Predictions
Transcribe the Action or Relationship
Digging Deeper into Start Unknown Situations
Complicating Things: The Start Unknown Variation
Strategies for Making Sense of Start Unknown Problem Situation
Separating Computation from Operation
Moving to Equations
Key Ideas
Try It Out!
Identify the Problem Situation
Write the Problem
Change It Up
Reflect
Chapter 4: Take-From Problems: Locating the Change
Thinking About Active Subtraction Situations
Sandbox Notes: Explore Your Thinkin
Students and Teachers Think About the Problems
Finding the Unknown, Three Story Structures
Story Structures: Implications for Teaching
Modeling the Active Problem Situation
Digging Deeper into the Start and Change Unknown Situations
Moving from Concrete to Symbolic Representation
Using Children's Literature to Explore Take-From Situations
Create Another Outcome
Finding the Unknown Quantity
Key Ideas
Try It Out!
Identify the Problem Situatoon
Write the Problem
Change It Up
Reflect
Chapter 5: Part-Part-While: Understanding the Relationship
Thinking About Part-Part-Whole Situations
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problems
Defining the Part-Part-Whole Situation
Modeling Relationships vs. Action
Moving from Counters to Bar Models
The Special Case of Both Parts Unknown
Modeling Measurement Problems
A Note About the Commutative Property
Using Children's Literature to Explore part-Part-Whole Situations
Make Predictions
Moving to Larger Whole Numbers
Students and Teachers Think about the Problems
Modeling Measurement Problems
Writing Equations: Addition or Subtraction
Writing Equations: Addition or Subtraction
Finding the Equation in the Model
Key Ideas
Try It Out!
Identify the Problem Sitaution
Write the Problem
Change It Up
Reflect
Chapter 6: Additive Comparison: Another Kind of Relationship
Thinking About Additive Comparison Situation
Students and Teachers Think about the Problems
Early Years Comparisons
Additive Comparison Situations
Building Models for Comparisons
Students and Teachers Think About the Problems
Making Use of Models For Thinking
The Language of Comparisons
Language Can Get Tricky
Building Bar Models for Comparisons
Problem Posing as an Instructional Strategy
Using Children's Literature to Explore Additive Comparison Situations
Create Another Outcome
Key Ideas
Try It Out
Identify the Problem Situation
Write a Problem
Change It Up
Reflect
Chapter 7: Early Multiplication and Division: Patterns and Predictions
Thinking about Early Multiplicative Thinking
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problem
Modeling Even and Odd Numbers
Equal Groups Problem Situation
Using Patterns to Identify Even and Odd Numbers
Using Children's Literature to Explore Early Multiplication
Transcribe the Action or Relationship
Bringing Another Dimension with Arrays
Recognizing Area/Array as a Problem Situation
Building an Understanding of Arrays as Structures
Using Children's Literature to Explore Arrays
Transcribe the Action or Relationship
Setting the Stage Division
Equipartitioning
Two Models for Division
Using Children's Literature to Explore Early Division
Transcribe the Action or Relationship
Key ideas
Try It Out
Identify the Problem Situation
Write the Problem
Change It Up
Reflect
Chapter 8: Changing How You Teach Word Problems
Getting into the Mathematizing Sandbox
8 Shifts in Instruction for Building Students' Problem-Solving Skills
Do Word Problems for Sense-Making
Treat Context and Computation Separately
Create More and Varied Representations
Explore All the Work Operations can Do
Add Operation Sense Routines with a Variety of Problem Situatons
Listen to Students and Be Curious
Make Time for Mathematizing in the Sandbox
Guidance for Moving Forward: FAQ's
Finding Unexpected Mathematics in Stories
Table of Contents
Video List
About the Authors
Introduction: Why You Need to Teach Students to Mathematize
Problem Solving Strategies Gone Wrong
What is Mathematizing? Why Is It Important
Focus on Operation Sense
Using Mathematical Representations
Teaching Students to Mathematize
Building your Understanding of Operations and Related Problem Situations
Playing in the Mathematizing Sandbox: A Problem-Solving Model
Final Words Before You Dive
Chapter 2: Moving From Counting to Addition & Subtraction
Thinking About Counting, Addition, and Subtraction
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problem
The Development of Courting
Counting or Add-To?
Representing Problem Situations or Representing Answers
Using Children's Literature to Explore add-To and Take From Situations
Transcribe the Action or Relationship
Moving beyond Twenty
Students and Teachers Think About the Problems
Representing Problem Situations Multiple Ways
Translating the Five Relationships: Try It Out
Teaching Students to Use Concrete and Pictorial Models
Key Ideas
Try It Out!
Identify the Principle
Write the Problem
Change It Up
Reflect
Chapter 3: Add-To Problems: Locating the Change
Thinking About Active Addition Situations
Thinking About Active Addition Situations
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problems
Finding the Unknown, Three Story Structures
Story Structures: Implications for Teaching
Modeling the Active Problem Situation
Model Actions
Distinguish Pictures from Pictorial Representation
Identify Important Features
Creatively Meet Students' Needs
Using Children's Literature to Explore Add-To Problems
Make Predictions
Transcribe the Action or Relationship
Digging Deeper into Start Unknown Situations
Complicating Things: The Start Unknown Variation
Strategies for Making Sense of Start Unknown Problem Situation
Separating Computation from Operation
Moving to Equations
Key Ideas
Try It Out!
Identify the Problem Situation
Write the Problem
Change It Up
Reflect
Chapter 4: Take-From Problems: Locating the Change
Thinking About Active Subtraction Situations
Sandbox Notes: Explore Your Thinkin
Students and Teachers Think About the Problems
Finding the Unknown, Three Story Structures
Story Structures: Implications for Teaching
Modeling the Active Problem Situation
Digging Deeper into the Start and Change Unknown Situations
Moving from Concrete to Symbolic Representation
Using Children's Literature to Explore Take-From Situations
Create Another Outcome
Finding the Unknown Quantity
Key Ideas
Try It Out!
Identify the Problem Situatoon
Write the Problem
Change It Up
Reflect
Chapter 5: Part-Part-While: Understanding the Relationship
Thinking About Part-Part-Whole Situations
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problems
Defining the Part-Part-Whole Situation
Modeling Relationships vs. Action
Moving from Counters to Bar Models
The Special Case of Both Parts Unknown
Modeling Measurement Problems
A Note About the Commutative Property
Using Children's Literature to Explore part-Part-Whole Situations
Make Predictions
Moving to Larger Whole Numbers
Students and Teachers Think about the Problems
Modeling Measurement Problems
Writing Equations: Addition or Subtraction
Writing Equations: Addition or Subtraction
Finding the Equation in the Model
Key Ideas
Try It Out!
Identify the Problem Sitaution
Write the Problem
Change It Up
Reflect
Chapter 6: Additive Comparison: Another Kind of Relationship
Thinking About Additive Comparison Situation
Students and Teachers Think about the Problems
Early Years Comparisons
Additive Comparison Situations
Building Models for Comparisons
Students and Teachers Think About the Problems
Making Use of Models For Thinking
The Language of Comparisons
Language Can Get Tricky
Building Bar Models for Comparisons
Problem Posing as an Instructional Strategy
Using Children's Literature to Explore Additive Comparison Situations
Create Another Outcome
Key Ideas
Try It Out
Identify the Problem Situation
Write a Problem
Change It Up
Reflect
Chapter 7: Early Multiplication and Division: Patterns and Predictions
Thinking about Early Multiplicative Thinking
Sandbox Notes: Explore Your Thinking
Students and Teachers Think About the Problem
Modeling Even and Odd Numbers
Equal Groups Problem Situation
Using Patterns to Identify Even and Odd Numbers
Using Children's Literature to Explore Early Multiplication
Transcribe the Action or Relationship
Bringing Another Dimension with Arrays
Recognizing Area/Array as a Problem Situation
Building an Understanding of Arrays as Structures
Using Children's Literature to Explore Arrays
Transcribe the Action or Relationship
Setting the Stage Division
Equipartitioning
Two Models for Division
Using Children's Literature to Explore Early Division
Transcribe the Action or Relationship
Key ideas
Try It Out
Identify the Problem Situation
Write the Problem
Change It Up
Reflect
Chapter 8: Changing How You Teach Word Problems
Getting into the Mathematizing Sandbox
8 Shifts in Instruction for Building Students' Problem-Solving Skills
Do Word Problems for Sense-Making
Treat Context and Computation Separately
Create More and Varied Representations
Explore All the Work Operations can Do
Add Operation Sense Routines with a Variety of Problem Situatons
Listen to Students and Be Curious
Make Time for Mathematizing in the Sandbox
Guidance for Moving Forward: FAQ's
Finding Unexpected Mathematics in Stories
Notă biografică
Kimberly Morrow-Leong is an adjunct instructor at George Mason University in Fairfax, Virginia, a part-time researcher at American Institutes for Research, and a consultant for Math Solutions. She is a former grade 5¿9 classroom teacher, K¿8 mathematics coach, and coordinator of elementary professional development for the National Council of Teachers of Mathematics (NCTM). She recently completed an elected term as vice president and 2018 program chair for NCSM, Leadership in Mathematics Education. She holds a BA in French language and a masters in linguistics (TESOL). She also holds an MEd and PhD in mathematics education leadership from George Mason University. Kim is the 2009 recipient of the Presidential Award for Excellence in Mathematics and Science Teaching (PAEMST) from Virginia. She is happiest when working with teachers and students, putting pencils down and getting messy with manipulatives!
Descriere
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 K-2
· Offers a systematic mathematizing process for solving word problems
· 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
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 K-2
· Offers a systematic mathematizing process for solving word problems
· 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