How Do We Teach Math Well?

In this post is my current working model for what must be included in effective math classes based on 15 years of working in math education, coaching and training hundreds of math teachers, and reading dozens of math education books and as much research about math and how we learn as I can find. I’ve been in a lot of great math classes and I’ve seen a lot of math classes that weren’t effective. It is the combination of all of these experiences that have led me to my list of non-negotiables in math class.

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Neily Boyd
The Math Wars: What's Most Important in Math Instruction?

In recent months, the so-called Math Wars have gained steam on social media. One side says that conceptual understanding and strong problem-solving skills are the keys to being successful in math, while the other says that strong procedural fluency is the thing strong math students need most. So who's right? Let’s look at what the research says about this age-old debate.

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Neily Boyd
Is This Computer Program Helping My Child Learn Math?

The use of computer-based math programs in US schools has grown rapidly in the post-pandemic era. The ability to differentiate the tasks students are working on based on what an individual student needs support with is one of the main reasons computer-based math programs have gained so much popularity. But are they actually working?

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Neily Boyd
How to Make Math Make Sense

There's a popular math quote that says, "Children must hold math in their hands before they can hold it in their heads." The source of this quote is unknown, but it hits the nail on the head. In this post, I explain how I help math make sense no matter what the topic is.

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Neily Boyd
What Is a Reasoning Strategy? Here Are Some Examples!

A reasoning strategy uses a child's understanding of number relationships and patterns (number sense) to figure out an unknown fact by relating it to one they already know. In this post, I share examples of reasoning strategies for addition, subtraction, multiplication, and division. This is by no means a complete list, but instead is meant to help you visualize and better understand what a reasoning strategy includes.

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Neily Boyd
What Is Fact Fluency? How Does It Develop?

Did you know that research now shows that pure memorization of basic math facts through flash cards and timed tests is not the best approach for helping children build fact fluency? So what is the best approach? And how can you support your child at home? In this post, we'll do a deep dive into what fact fluency means, how it develops in a child, and how parents can support at home. 

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Neily Boyd
To Delay or Not Delay Kindergarten: What to Consider When Your Child's Birthday Is Close to the School Cutoff Date

The decision of whether to delay kindergarten for a child whose birthday is close to the age cutoff is a hotly debated topic, and because of this, I agonized over the decision for months. In this post I’ll share the research we read, the experts we consulted, and the process we followed to make the decision that felt right for our family. My hope is that what follows provides you with resources as you navigate through this decision for your own family.

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Neily Boyd
Tips for Telling Time

As children learn to tell time, we want them to understand not just how to read a clock but also to be able to visualize the amount of time that has passed at a given time on the clock. Here are a few simple strategies you can use at home, for a variety of age levels, to help the concept of time feel concrete to your child:

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Neily Boyd
A Grownups' Guide to Reasoning Through Single-Digit Addition Facts

Addition and subtraction facts should not be learned through memorization alone. If we focus only on memorization, there are 200 single-digit addition and subtraction facts children would need to memorize. Instead, we want children to build fluency with these facts, which means that children are able to come up with the answers to these single-digit facts flexibly, accurately, and efficiently.

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Helping Children Learn to Estimate

Have you ever asked your child to guess how many there were of something and gotten a blank stare in return? There’s a good reason for this! Estimating isn’t a skill that develops automatically. It takes a lot of practice!

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