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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

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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

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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

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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

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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

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6. Montessori

Dr. Cotter on Symmetry

Dr. Cotter has an article published in the Hungarian journal Symmetry: Culture and Science, Volume 34, Number 3! Her article is titled Symmetry for Children Using Drawing Board Tools and Tangrams. The abstract reads: Young children are unable to use Euclid’s tools for geometric constructions. However, children as young as 5 years can construct equilateral triangles, hexagons,

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Card Games

2023 Summer Game #11: Fraction of Twelve

My two youngest children were six and eight when I started schooling them together in RightStart™ Math Level B. About half way through Level D it became apparent that my older son was ready to “fly” while my younger son was ready to “camp.” When the older of the two was in Level G and the younger one was in Level

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Card Games

2023 Summer Game #10: Mental Addition

One of the many aspects that drew me to RightStart™ Math was the idea of my children learning how to do mental math. Growing up, the whole idea of mental math was fascinating to me, but it was not encouraged. And, to be honest, I really doubted my own children’s ability to actually calculate equations

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General Info

Five Extra Math Ideas

Are you wanting some extra or independent work to supplement a child’s learning, especially for the quick-thinker? Perhaps they are working through the correct level, but they get the concepts fast? You don’t want to give them busy work or a ton of problems to work on but want something engaging and fun? Here are a

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Card Games

2022 Summer Game #14: Short Chain Subtraction

Did you enjoy last week’s game? Happily, there are many variations of the chain games and our family has played most of them as solitaire games. Nicholas, Chiara, and Ian played Short Chain Subtraction today, game S18 in the Math Card Games book, and had a great time! This variation is a great family game and is best for two to three

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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

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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

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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

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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

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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

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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

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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!

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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

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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

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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.

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