Little Brains, Big Concepts: Progression of Number Concepts Kindergarten – 2nd Grade

By the end of second grade, children have developed the foundation for their future math learning. They know that numbers tell how many, they have explored our base ten number system, and they understand that numbers can be put together and taken apart to create new numbers. In fact, with a handful of exceptions, children … Continue reading Little Brains, Big Concepts: Progression of Number Concepts Kindergarten – 2nd Grade

Little Brains, Big Concepts: Progression of Number Concepts Ages 3-6

The journey to understanding number is one of wonder and exploration, and I continue to be amazed by how children's brains build these concepts from the ground up. The fact that all brains tend to follow a similar path is equally astounding. This common journey provides a road map for how we can best support … Continue reading Little Brains, Big Concepts: Progression of Number Concepts Ages 3-6

Little Brains, Big Concepts: Subitizing

Take 5 seconds and look at the image below. How many dots are there? Now, take a moment to reflect on how you counted the dots. Chances are you didn't count each dot. Instead, your brain probably grouped the dots by twos, threes, or fours without counting them. That's right - our brains can count … Continue reading Little Brains, Big Concepts: Subitizing

Little Brains, Big Concepts: Comparing Quantities

This post is part of the Little Brains, Big Concepts series. Check out the previous posts: Introduction, Number, Counting Strategies, Part-Whole Relationships, Understanding 10, Place Value Children naturally compare quantities starting at a young age. Does "hey, they got more than me!" sound familiar? Finding the relationship between amounts and groups is at the heart … Continue reading Little Brains, Big Concepts: Comparing Quantities

Little Brains, Big Concepts: Place Value

This post is part of the Little Brains, Big Concepts series. Check out the previous posts: Introduction, Number, Counting Strategies, Part-Whole Relationships, Understanding 10. Take a moment and add the following numbers in your head: 266 + 146. Don't worry about getting the right answer, think about how you do it. Did you stack the … Continue reading Little Brains, Big Concepts: Place Value

Little Brains, Big Concepts: Understanding 10

This post is part of the Little Brains, Big Concepts series. Check out the previous posts: Introduction, Number, Counting Strategies, Part-Whole Relationships. One of the most important things you can do as a parent is help your child develop an understanding of ten. Ten is the foundation of our number system, so a deep and … Continue reading Little Brains, Big Concepts: Understanding 10

Little Brains, Big Concepts: Part-Whole Relationships

This post is part of the Little Brains, Big Concepts series. Check out the previous posts: Introduction, Number, Counting Strategies. I find it difficult to describe the power and awe-inspiring nature of part-whole relationships. So, this haiku will have to do: Knitted into the Fabric of the universe Building blocks of math Part-whole relationships extend … Continue reading Little Brains, Big Concepts: Part-Whole Relationships

Little Brains, Big Concepts: Counting Strategies

This post is part of the Little Brains, Big Concepts series. Check out the previous posts: Introduction, Number. Counting plays a critical role in understanding number. Once children begin to understand the concept of number, they start to develop counting strategies that utilize deeper understandings of the number-word sequence. Counting strategies are the foundation for … Continue reading Little Brains, Big Concepts: Counting Strategies

Little Brains, Big Concepts: Number

This post is part of the Little Brains, Big Concepts series. Read the introduction to this series here. Define the number 4 by following these rules: You can't define it by its surrounding numbers, and you can't use the words "number" or "four." Harder than you think, right? I mean, what is a number, and … Continue reading Little Brains, Big Concepts: Number