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Mathematical Reasoning™ Level B

Bridging the Gap Between Computation and Math Reasoning

Grade: 1


Full Curriculum

Grade: 1


Full Curriculum

  •  Multiple Award Winner
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Description & Features

Forget boring math lessons and dreaded drill sheets.  This fun, colorful 352-page book uses engaging lessons with easy-to-follow explanations, examples, and charts to make first 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 first grade—and several concepts normally taught in second 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.


  •  Action
  •  Addition
  •  Bar Graph
  •  Calendar
  •  Capacity
  •  Count
  •  Fractions
  •  Language
  •  Length
  •  Manipulative
  •  Match
  •  Money
  •  Number Lines
  •  Odd/Even
  •  Order
  •  Patterns
  •  Probability
  •  Real World Problems
  •  Shapes
  •  Subtraction
  •  Symmetry
  •  Temperature
  •  Time
  •  Weight
  •  Whole Numbers

Product Details

Item#: 06907BBP
Author(s): Doug Brumbaugh and Linda Brumbaugh
TOC: View Table Of Contents
Type: Student Book with Answers
Media: Paperback Book
License: Reproducible
ISBN–10: 0-89455-885-4
ISBN–13: 978-0-89455-885-6
Pages: 352, Color (Perforated)


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 Jenkins Group Moonbeam Children's Book Award, Silver Medal 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 used the Mathematical Reasoning® books for all four of my children starting at age three. These books are practical and easy to use. The children easily grasped object-to-number ratio, number recognition, addition, subtraction and even algebraic concepts at a very young age. I highly recommend Mathematical Reasoning®!" - Julianne, OK
"My daughter took to it instantly. I was impressed with Critical Thinking Co.'s math vocabulary and how they applied it to this level." - Traci, Texas
"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
"The word playful... accurately describes the activities. They are presented more like something found in a puzzle book than included in a comprehensive curriculum." - Jessica, Homeschooling mom
"The addition facts are presented on one page and on the opposite page, the student will answer a riddle by completing a dot-to-dot using the sums. Instead of just doing facts for seemingly no reason, he has the reward of finding the answer to a riddle." - Jessica, Homeschooling mom
"Mathematical Reasoning™ not only allows skills to build on one another but once a skill is learned, it is continually practiced. On page 295, adding coins is still practiced (though it was introduced on page 6). But instead of fifteen boring pages based strictly on coins, the skill is randomly spread over three-hundred and twelve pages, with increasing difficulty." - Jessica, Homeschooling mom
"What you won’t see on the website is the quality of the pages. Each page is thick, tough paper -- able to withstand the constant erasing of a perfectionist eight-year-old boy." - Jessica, Homeschooling mom
"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)
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!