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Mathematical Reasoning™ Level E

Bridging the Gap Between Computation and Math Reasoning

Grade: 4


Full Curriculum

Grade: 4


Full Curriculum

  •  Multiple Award Winner
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Description & Features

Forget boring math lessons and dreaded drill sheets.  This fun, colorful 384-page book uses engaging lessons with easy-to-follow explanations, examples, and charts to make fourth grade mathematical concepts easy to understand.  It can be used as a textbook or a comprehensive workbook with your textbook to teach the math skills and concepts that students are expected to know in fourth grade—and several concepts normally taught in fifth grade.  This book emphasizes problem-solving and computation to build for success in higher-level math and math assessments.

Every lesson is followed with a variety of fun, colorful activities to ensure concept mastery.  The lessons and activities spiral slowly, allowing students to become comfortable with concepts, but also challenging them to continue building their problem-solving skills.  This book teaches more than mathematical concepts; it teaches mathematical reasoning, so students learn to devise different strategies to solve a wide variety of math problems.  It is written to the standards of the National Council of Teachers of Mathematics.


  •  Addends
  •  Addition
  •  Age
  •  Analyze Data
  •  Angles
  •  Area
  •  Bar Graph
  •  Calendar
  •  Capacity
  •  Characteristics
  •  Circle Graphs
  •  Coins
  •  Congruence
  •  Coordinates
  •  Count
  •  Data Analysis
  •  Data Collection
  •  Decimals
  •  Division
  •  Equations
  •  Equivalence
  •  Estimate
  •  Fractions
  •  Graphs
  •  Inequalities
  •  Language
  •  Length
  •  Match
  •  Mean
  •  Median
  •  Mode
  •  Money
  •  Multiplication
  •  Negative Numbers
  •  Number Lines
  •  Odd/Even
  •  Order
  •  Parallel
  •  Patterns
  •  Perimeter
  •  Perpendicular
  •  Place Value
  •  Prediction
  •  Prime/composite
  •  Probability
  •  Properties
  •  Real World Problems
  •  Reflection/Translation/Rotation
  •  Regrouping
  •  Rounding
  •  Rulers
  •  Shapes
  •  Subtraction
  •  Survey
  •  Symmetry
  •  Tables
  •  Temperature
  •  Time
  •  Variables
  •  Weight

Product Details

Item#: 06910BBP
Author(s): Carolyn Anderson
TOC: View Table Of Contents
Type: Student Book with Answers
Media: Paperback Book
License: Reproducible
ISBN–10: 1-60144-645-4
ISBN–13: 978-1-60144-645-9
Pages: 384, Color


2014 Practical Homeschooling Reader Awards™ - Honorable Mention, Elementary Math Category 2015 Practical Homeschooling Reader Awards™ - 2nd Place, Elementary Math Category Cathy Duffy 101 Top Picks for Homeschool Curriculum Cathy Duffy Top 100 Award Creative Child Magazine 2012 Book of the Year Award Creative Child Magazine Preferred Choice Award Dr. Toy Best Picks Dr. Toy Product of Excellence iParenting Media Award iParenting Media Best Products Learning® Magazine Recommended Resource for Successful Teaching Mensa Recommended Materials for the Gifted Mom's Choice Awards - Gold Medal for Excellence Mom's Choice Awards - Silver Medal for Excellence Practical Homeschooling Magazine 3rd Place Reader Award

Product Reviews Write a review for this product

"I am so excited about these books. I've never been excited about a math curriculum before, and I am telling everyone I know about them. No prep, good visuals, super clear, enjoyable to do each page, not too much of one thing at a time but keeping it varied... these books are gold." - Brittany, Canada
"Last year I struggled with my daughter's math. She never complained about school work, except when it came time for math. We were using the same math program we have always used so I wanted to stick with it. It ended up discouraging her so I spent this past summer seeking out something that was high quality, yet a different approach to what I had been using. A friend showed me your Mathematical Reasoning™ books and I gave them a try. We are now halfway through this current school year and the difference is night and day. What was like 'pulling teeth' is now fun to her and she can concretely see and express how useful math is to her in her daily life." - Kelly, SC
"As a teacher I like the problem solving activities as these could be used over again or with several students in the classroom." - IParenting Reviewer
"Mathematical Reasoning presents math in a way that makes it not only simple to learn, but also practical to apply to everyday circumstance (obviously making math more meaningful to him)." - Katherine, Mississippi
"My son hated math. I saw your curriculum and gave it a try. Wow, what a great fit for my son! Your Mathematical Reasoning curriculum gave him a way to learn math that made sense to him. Thank you!" - Amy, Ontario, Canada
"For the money, the books are excellent buys and worthy supplements to any childhood students education." - Maxine, Teaching Children Mathematics published by NCTM
"As a math instructor, I am so happy that it looks like I may have a math-brain in my family after all! He asks to do his math school work (Mathematical Reasoning book) every day!" - Janelle, Math Teacher & Parent
"We have truly enjoyed using this book. We started out by just using it once a week but my daughter begged for more! How can I turn down a child begging for Math!?! We are now using it daily and I can see the improvement in her math." - Jacquelin, Virginia
"I really like that there is a lot of life application, logic and critical thinking sprinkled throughout the book. Lessons do not appear overwhelming or take hours to complete. In fact, most pages take just a few minutes to complete. There is a lot of colorful visual appeal as well, without appearing too childish for these upper elementary kids." - Marcy, Kentucky
"It has been so good for her because it requires her to think! Sometimes she would get frustrated, but the material was engaging and it kept her motivated to try and figure it out." - Suzie, Illinois
"The fun thing about Mathematical Reasoning™ is that every page is a little different. No rote facts or boredom here! Mix that in with a few game-like activities and lots of colors and pictures, and they had my kiddo hooked." - Michele, Virginia
"This is a gorgeous book, inside and out - visually appealing and colorful; it makes getting kids interested in the book simple. May I repeat - simple." - Becky, Texas
"I don’t know about you, but I really like the idea that my child might learn how to think critically while also doing her math or language arts!" - Kate, California
"Our family loves your Mathematical Reasoning™ series. My son has completed Levels E and F. As a former public school teacher and now a homeschool mom, I have looked at many math curriculums and yours is by far the best I have seen and used. I am so glad you are continuing this series and cant wait to see Level G." - Park, Texas
"If you are serious about your child's mathematical development, then you need to add critical thinking and analogical thinking to your curriculum. These books are a great addition for any math curriculum and help your child develop important problem-solving and critical thinking skills." - Kari, Curriculum Choice
"We use The Critical Thinking Co. products as part of our homeschool curriculum. The Mathematical Reasoning™ Level A book has been a wonderful tool. The instructions are easy enough for my kindergartner to read. My son loves math now!" - Elisha, South Dakota
"Mathematical Reasoning™ books are easy to follow and allow kids to jump around... My sons teacher loved it, as well, saying the math concepts are age appropriate for him." - IParenting Media Reviewer
"We are completing Mathematical Reasoning™ Beginning 1. My son recently turned 4, and this is by far the best math program that I have found for preschoolers. We go over a few pages every night before we do our bedtime reading. I plan to order the next book in a few weeks." - Jamie, via Facebook

Test preparation available for the following:

Mathematical Reasoning™ prepares students to achieve top scores on assessment tests, including

Otis-Lennon School Ability Test® (OLSAT®)
Wechsler Intelligence Scale for Children® (WISC®)
Wechsler Preschool and Primary Scale of Intelligence™ (WPPSI™)
Cognitive Abilities Test™ (CogAT®)
Gifted and Talented Education (GATE) / Talented and Gifted (TAG)
Florida State Assessment (FSA)
Maryland School Performance Assessment Program (MSPAP)
WA Measurements of Student Progress (MSP)
Massachusetts Comprehensive Assessment System (MCAS)
Connecticut Mastery Test (CTPIII)
Florida Comprehensive Assessment Test (FCAT)
Iowa Tests of Basic Skills® (ITBS®)
Primary Test of Cognitive Skills™ (PTCS)
and many more!