By Becca Phillips You can’t tell a child “there’s no such thing as monsters” because, well, then, why is there a word for it? I was given this advice when my own daughter was an infant, but I’ve thought a lot about it over the years, and how inextricably linked our...
K–5 Math
Building Equitable Learning Environments for Each Student
Mar 22, 2021
By Danielle Seabold, IM Certified® Facilitator “All students can be successful in mathematics.” For most mathematics educators, we lean into this. We believe that all students can learn mathematics, and that they can be successful. However, as we focus our lens on the...
Explorations in IM K–5 Math: Challenges for Curious Students
Mar 2, 2021
By Jen Hawkins and Mike Nakamaye What do we do with curious students who are ready, willing, and able to go further with math ideas? Some students cannot wait to dig deeper into the mathematics they are studying in class. Their curiosity comes from working with a...
What Does It Mean to Use Mathematics?
Feb 22, 2021
By William McCallum Our vision at Illustrative Mathematics is a world where all learners know, use, and enjoy mathematics. In my last post I picked up that first verb and talked about what it means to know mathematics. In this post I'd like to talk about what it means...
Supporting Culturally Responsive Pedagogy with IM K–5 Math™
Feb 17, 2021
By Dionne Aminata “We are striving to . . . compose a country committed to all cultures, colors, characters, and conditions of man. And so we lift our gazes not to what stands between us, but what stands before us.” Poet Laureate, Amanda Gorman Amanda Gorman recited...
By the End of Grade 3: Developing Fluency with Multiplication
Jan 25, 2021
By Zack Hill The major work of grade 3 includes representing and solving problems that involve multiplication and division. Then, by the end of grade 3, students are expected to know from memory all products of two one-digit numbers. What does this look like and how...
What does it mean to know mathematics?
Jan 4, 2021
By William McCallum A world where all learners know, use, and enjoy mathematics. Perhaps the most mysterious verb in the IM vision—a world where all learners know, use, and enjoy mathematics—is the first one: know. Knowing mathematics means being able to "do the...
The Nuances of Understanding a Fraction as a Number
Dec 7, 2020
By Kristin Gray This was originally posted on Kristin Gray’s personal blog, Math Minds, on November 15, 2020. Student work is just the best. It is the one thing that will always motivate me to write! So, let’s kick this post off with a great work example from grade 3....
Creating Time and Space for Students to Develop Foundational Mathematical Ideas
Nov 16, 2020
By Maureen D. O'Connell “Slow down, you’re moving too fast, you got to make the morning last...” When we consider early childhood mathematics this familiar song comes to mind. In our hurried society where more is more, childhood expectations have been pushed to...
Reading Graphs is a Complex Skill
Nov 4, 2020
by William McCallum Newspapers are full of graphs, far more than 10 or 20 years ago. Indeed, I have a graph to show that! (Source, Priceonomics) And yet I wonder how often readers see graphs as pictures illustrating a point, rather than as texts to be read. A reader...
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