Skip to content Skip to footer
General Info

Dr. Cotter on Multivides

Did you check out our blog on division? And did you read about short division? Isn’t that just wonderful? Now, let’s talk about some practice for short division. When I was a child, my mother created puzzles for my siblings and me. They were called multivides. Multivides are a great self-checking activity that uses both multiplication

Read More »
6. Montessori

Dr. Cotter on Division

Long division used to be considered the ultimate goal of arithmetic. An earlier division algorithm was so complicated it wasn’t taught until college. Today some students learn a mnemonic in order to remember what to do when in the long division process. One example is DMSB (Divide, Multiply, Subtract, Bring down). To make it memorable,

Read More »
6. Montessori

Dr. Cotter on Addition and Subtraction Facts

Addition  Addition can be thought of as finding the whole when the parts are known. Place value greatly simplifies finding the sum of two numbers. To be efficient in adding, we start with the sums of numbers 1 + 1 through 9 + 9. These are best learned through strategies, especially visualizable strategies, and through frequent usage. 

Read More »
6. Montessori

Dr. Cotter on Measurements

Measurement is an application of math that is an important part of everyday life. We measure length, area, volume, mass (weight), temperature, time, angles, and many other attributes. For more than simple comparisons, we need numbers and a basic unit. Sometimes, two or more units are combined. For example, we speak about speed as miles

Read More »
6. Montessori

Dr. Cotter on Manipulatives

When teaching math to a child, there are three important questions to consider: Are manipulatives necessary for teaching math? What is the purpose of manipulatives? Are some manipulatives better than others? First of all, let’s define manipulatives. A concrete manipulative is a physical object that a child handles in order to learn mathematics. Some math

Read More »
6. Montessori

Dr. Cotter on Place Value

Place value is the very foundation of arithmetic. Place value packages numbers into groups of tens and tens of tens. This makes calculating large numbers similar to adding single-digit numbers: 3 + 4 is similar to 30 + 40, 300 + 400, 3000 + 4000, and so on. We need to regard place value as

Read More »
General Info

Dr. Cotter on Multiplication

Multiplication has been the mathematical downfall of many children (and adults!). It’s not so much the problem of the algorithms, but rather it’s the problem of the memorization of the 100 facts. Before expecting the child to learn the facts, we need to teach the meaning of multiplication. So often, we say it is the same as

Read More »
6. Montessori

Dr. Cotter on Counting

Most people think of counting as the foundation of math; therefore, they teach kids to memorize the long string of 100 counting words. Next, to count objects, they teach them to touch each block in turn while saying the next word in the string. After completing this counting ritual, the child must be ready to

Read More »
Lessons

RS2 Level H, Lesson 91

RS2 Level H, Lesson 91 September 15, 2023 by Kathleen Cotter Clayton Susan wrote us: “Hello, my son and I are struggling with Lesson 91, with problems 9 & 10. Can we please have an explanation? Love your materials! Thank you.” Well, Susan, this took me a while to come up with a good clear explanation! Here’s my

Read More »
Lessons

RS2 Level H, Lesson 82

RS2 Level H, Lesson 82 September 14, 2023 by Kathleen Cotter Clayton Today’s blog is thanks to Joanna and her son, Hunter. They live in Florida and started with Level A and are now working on Level H! Here’s Hunter working on Level H, Lesson 82….. This lesson is on pyramids. One of the goals of the lesson is to

Read More »

 by 

RightStart Math: Free Support, Resources, and Training

September 2025 Newsletter We want to remind you of the many free resources available to you as a school that uses RightStart Math. 1. Year-Round Continue Reading

 by 

Start Math Right Dr. Cotter’s Greatly Anticipated Book is Here!

We are excited to announce the release of Dr. Joan Cotter’s new book, Start Math Right—a valuable resource designed to empower educators and parentsContinue Reading

 by 

Thank you teacher!

We want to take a moment to say a special thank you for the incredible work you do. We see the dedication, the late nights, the creativity, and theContinue Reading

 by 

RightStart Math and Classical Education

Classical education is built on the foundation of strong reasoning, deep understanding, and mastery of fundamental skills. When it comes toContinue Reading

 by 

Happy New Year! Welcome to 2025!

January 2025 Newsletter Welcome to the New Year 2025!  We hope everyone had a fabulous winter break! As you start the new year, here are someContinue Reading

Quilting and the Cotter Abacus

I am a quilt designer. I’ve made over 250 quilts in my lifetime, 98% of my own design. I’m currently working on my sixth quilt from someone else’s pattern.I have the directions in front of me as I’m approaching on the final steps of Bonnie Hunter’s Allietare quilt design. I find myself struggling to understand how

Read More »

Dr. Cotter’s Abacuses

How many different abacuses do you think Dr. Cotter has? Here’s a clue…. Dr. Cotter is holding one of her first abacuses: a Japanese abacus, purchased by a friend who had visited Japan. She became so efficient using this abacus that she was faster and more accurate than she was with a calculator!While you try

Read More »

Start Math Right – Fractions Chapter

Kathleen is here to walk you through the Fractions chapter of the new Start Math Right: The Journey to Mathematics Excellence book. She begins with a story of fractions and confusion from 1972, then goes on to discuss what a fraction is and how to teach fractions. Kathleen also discusses how not to teach fractions!

Read More »

Start Math Right – Division Chapter

Listen to how division is addressed in the new Start Math Right: The Journey to Mathematics Excellence book. Teresa Foltin talks about how division is the most challenging of the arithmetic operations, and shares that there are two distinct ways to think about division. One way is to find the size of a group; another

Read More »

Start Math Right – Multiplication Chapter

Are you curious how the new Start Math Right: The Journey to Mathematics Excellence book addresses multiplication? Listen to Allison Fitzgibbon share her discoveries from the new book. Allison admits that the multiplication chapter was packed with more information than she had time to cover! She chose to focus on patterns found in math. Multiplication

Read More »

Start Math Right – Addition & Subtraction Chapters

Rachel is here to give you a summary of the Addition and Subtraction chapters from the new Start Math Right: The Journey to Mathematics Excellence book! Rachel Anderson was one of the proofreaders for Dr. Cotter’s book and shares her insights during the January 2025 Online Conference. She begins with a quote from the book.

Read More »

What our Customers Are Saying