“It’s as fat as it is tall”: Language and Concept Development with Quick Images

7 Mar 2023

Some days, things just go sideways. It's the reality of teaching. I watched as Grade 1 teacher Rachel led her students into the classroom fifteen minutes later than usual. Rachel…

Preserving Equality — Algebraic Thinking Across Grade Levels

13 Feb 202313 Feb 2023

Equality is a fundamental concept of mathematics. The way that we can play around with values -- adjusting numbers slightly -- but maintain equality is fascinating, and differs between operations.…

Peas and Carrots… and Beans

9 Feb 20238 Feb 2023

Last year, our first grade team had the opportunity to work with Investigations authors from TERC -- the inimitable Karen Economopolous, with Megan Murray in absentia. To prepare for our…

Facilitating Number Boxes, Part 2 – Supporting Reasoning with Representations (Learning With Students)

15 Dec 20223 Feb 2023

"Hmm.. 8 + 3. Let's put the 8 in the ten frame. If we add 3, will it be more than, less than, more equal to 10?" Kyleigh missed parts…

“What Are You Hoping For?”: Facilitating the Number Boxes Game to Develop Reasoning – Learning with Teachers

8 Dec 20223 Feb 2023

Number Boxes is one of my favorite games to play. The set up looks similar to an Open Middle problem, with empty boxes that you will place digits into. Open…

How Many Birds: Mathematizing “Two Many Birds” In First Grade, Part 2

28 Apr 202227 Apr 2022

I have been reading Allison Hintz and Antony Smith’s Mathematizing Children’s Literature (Stenhouse, 2022), and it has disrupted how I think about the use of children's literature in math class. In my…

The Bossy Owl: Mathematizing “Two Many Birds” in First Grade, Part 1

27 Apr 202227 Apr 2022

In my last blog post, I described three ways in which Allison Hintz and Antony Smith’s Mathematizing Children’s Literature (Stenhouse, 2022) has disrupted how I think about the use of children's literature…

Stenhouse Blog Post: Using Student Work as an Anchor for Mathematical Discourse (Something to Talk About)

11 Jan 20221 Jan 2022

This blog post was published on the blog for Stenhouse Publishing, as part of a series on classroom discourse. You can read the complete post on the Stenhouse website. While…

More Peas, More Carrots: Student Agency in Representations While Problem Solving

16 Dec 2021

Today, the first graders revisited "Peas and Carrots." They had spent several days exploring part-part-whole thinking in the context of games like "how many are hiding?" and "counters in a…

The Half-Triangle: Attending to Precision and Building On Others’ Ideas

12 Dec 202111 Dec 2021

From Investigations: Grade 4, Unit 4, Investigation 2, Lesson 2 "This shape fits my rule," said 4th grade teacher Ms. Cohen, moving the green right triangle to the left side…

“Never Say Anything a Kid Can Say”: Peas and Carrots Edition

10 Dec 2021

Yesterday was an exciting day in first grade: the launch of peas & carrots! This is the first "how many of each?" problem in first grade. Students wrestle with two…

Digging in the Closet: The Return of the Museum of Rarely Used Math Manipulatives (MoRUMM)

18 Nov 202112 Dec 2021

My officemate and I have an embarrassment of riches -- in the form of math materials. In the first district where I taught, manipulatives were hard to come by. My…

Making Space to Listen and Observe

29 Sep 2021

My school recently adopted TERC's Investigations in Number, Time, and Space. The cornerstone of this curriculum is listening to, centering, amplifying, and leveraging student ideas. Many of the embedded assessments…

Choosing a Story to Tell: Examining a Lesson Close in 1st Grade

28 Aug 20196 Feb 2022

I had planned to spend my first time in Room 12 observing the classroom teacher and getting to know her students. Instead, the teacher texted me the day before to…

Students Surprise Us: Interviews with Juliet

20 Jun 201919 Jun 2019

Have you ever had a student just gloriously prove all your assumptions wrong? Things move so quickly in a school. In order to grapple with the pace of our days,…

One of Favorite Games: The Skip Count Game

30 May 20198 Feb 2023

This game is part of my "simple but high leverage" collection of games that are flexible, engaging, and easy to prep. Others include Number Boxes and the Answer Is... I've played the…

One of My Favorite Games: Number Boxes

29 May 20193 Feb 2023

This game is part of my "simple but high leverage" collection of games that are flexible, engaging, and easy to prep. Others include The Answer Is... and the Skip Count Game. I…

One of My Favorite Games: The Answer Is…

28 May 20196 Jun 2019

This game is part of my "simple but high leverage" collection of games that are flexible, engaging, and easy to prep. Others include Number Boxes and the Skip Count Game. I have…

Daysha at the Board: Assigning Competence

2 Mar 20195 Feb 2022

"Sit down, Daysha... Daysha." Six-year-old Daysha shot me an icy glare while she leisurely pumped hand sanitizer onto her open palm. The rest of her class was all sitting on…

Making Connections during Number Talks

28 Mar 2017

All hands shoot up in 1M, a first grade classroom. The students strain their arms, employing arched eyebrows and pursed lips to entreat me to call on them. Of course, once I…