MATH
At STEMIE, we are developing learning trajectories for science, technology, and engineering. Our colleagues at University of Denver/Marsico Institute are the math pioneers.
Math is the study of patterns in numbers and space, including the concepts, processes, and structures of counting and numbers, space and shape, and symmetry, as well as a set of math practices by which math knowledge is developed, refined, and applied.
Math has 5 groups of big ideas – Number & Operations, Data Analysis, Measurement, Geometry, and Algebra. Each group of big idea has a set of topics and each topic has a developmental progression.
Learning Trajectories work in math was pioneered by Drs. Doug Clements and Julie Sarama. Visit their website [LT]2 – Learning and Teaching with Learning Trajectories to:
- learn about how children learn and think about math
- try math activities for children birth to age 8
- get started supporting early childhood math learning

Some of STEMIE’s resources include math topics as well as science, technology, and/or engineering. Here are those resources:
STEM ideas for toddlers at bath time
Daily Routine Explorations with Your Young Child: Cooking BreakfastSTEM in the kitchen for breakfast
Daily Routine Explorations with Your Young Child: Doing LaundrySTEM activities while doing laundry.
Daily Routine Explorations with Your Young Child: Getting DressedAll STEM domains can be explored during the routine of dressing.
Daily Routine Explorations with Your Young Child: Mealtime – ApplesExplore sequencing, sorting, and counting during activities with apples.
Daily Routine Explorations with Your Young Child: Mealtime for InfantsSTEM ideas for infants at meal time
Daily Routine Explorations with Your Young Child: Mealtime for ToddlersSTEM ideas for toddlers at meal time
Daily Routine Explorations with Your Young Child: Tummy Time for InfantsTummy time is a wonderful opportunity for young infants to develop upper body muscles and learn about and explore the world around them. You can introduce STEM ideas and vocabulary as you support their physical development.
Discovery Play Activities with Your Young Child: Building BlocksSTEM ideas for blocks
Discovery Play Activities with Your Young Child: Counting Things that FlyObserve, count, and sort things that fly
Discovery Play Activities with Your Young Child: What Makes a Shadow?Help your child discover shadows and how to create them.
Storybook Conversations: Bear in a SquareBear in a Square is a book written by Stella Blackstone and illustrated by Debbie Harter. A bear travels through different places and identifies shapes in this rhyming story. Help your child find shapes in your home and name where you see them.
Storybook Conversations: Counting KissesCounting Kisses is a book by Karen Katz. This book counts kisses on baby’s body parts as the baby gets ready for bed. Can you help baby count all the kisses?
Storybook Conversations: How Big is a Foot?How Big is a Foot? is a book written and illustrated by Rolf Myller. The King wants to give the Queen something special for her birthday. The Queen has everything except a bed. The trouble is that no one knows how big a bed is because beds have not been invented! The Queen’s birthday is only a few days away. How can they figure out what size the bed should be?
Storybook Conversations: I See PatternsI See Patterns is a book by Linda Benton. This book shows patterns in everyday life with pretty photographs and simple words. Point out patterns with your child in clothes, food, toys, or outside in nature.
Storybook Conversations: Inside, Outside, Upside DownInside, Outside, Upside Down is a book by Stan and Jan Berenstain. Brother Berenstain learns all about opposite locations and directions while hiding inside a moving box. Will Papa Bear find him, or will Brother find his way out of the box?
Storybook Conversations: Luna’s Yum Yum Dim SumLuna's Yum Yum Dim Sum is a book written by Natasha Yim and illustrated by Violet Kim. Luna is having Dim Sum on her birthday. She and her brothers are talking about how to share buns fairly. Talk about how to count and share foods equally foods.
Storybook Conversations: One Duck StuckOne Duck Stuck is a book written by Phyllis Root and illustrated by Jane Chapman. In this book, a duck gets stuck in the sticky, squishy mud. She sees lots of different animal friends in the marsh. Who can help pull her out?
Storybook Conversations: Pete the Cat and His Four Groovy ButtonsPete the Cat and His Four Groovy Buttons is a book written by Eric Litwin and illustrated by James Dean. Pete, the cat, sings about his shirt and counts his four groovy buttons. When some fall off, Pete has to subtract and count again! Can you help Pete count his changing number of buttons?
Storybook Conversations: Rosie’s WalkRosie's Walk is a book by Pat Hutchins. Unaware the fox is following her; Rosie leads him into one accident after another. Will the fox manage to catch her, or will Rosie outwit him?
Storybook Conversations: Six-Dinner SidSix-Dinner Sid is a book written by Inga Moore. Sid the cat lives at number one Aristotle Street. He also lives at number two, number three, number four, number five, and number six. Since the neighbors on Aristotle Street do not talk to each other, no one realizes that Sid gets six dinners each night. What will happen when Sid gets a cold?
Storybook Conversations: Ten Apples Up On TopTen Apples Up On Top is a book written by Dr. Seuss and illustrated by Roy McKie. Three silly animal friends practice balancing and counting apples on their heads. Others try to knock the apples off while the friends race away. What can you balance on your head?
Storybook Conversations: Ten Black DotsTen Black Dots is a book by Donald Crews. Dots are used to make different objects while counting. What can you make with ten circles?
Storybook Conversations: The Grouchy LadybugThe Grouchy Ladybug is a book written and illustrated by Eric Carle. Follow the Grouchy Ladybug on her journey and about learn animals, time, and size, as well as the benefits of friendship and good manners. Talk about time and how the Sun changes position in the sky throughout the day.
Storybook Conversations: Up to My KneesUp To My Knees is a book written by Grace Lin. It is springtime. Mei plants a seed and watches it grow. How tall will it get?
