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The Blog of a K-8 Math Specialist

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Tag: grade 4

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How We Listen: Astrid’s Thinking about 5 x 6

27 Mar 202327 Mar 2023
"Clinical interviews are an opportunity to listen closely," I caught myself telling a colleague recently. But... is that enough? How we frame the act of listening changes our entire experience.…
assessment…

Listening to Understand: Visualizing Adrian’s Thinking about Comparing Fractions

26 Feb 202326 Feb 2023
Marilyn Burns recently blogged about a 38 second video clip that I probably spent 380 seconds watching. (click on the image below to read the post -- but then come…
curriculum…

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.…
assessment…

I Don’t Speak Russian, But…

13 Dec 2022
My mother-in-law speaks three languages fluently -- and none of them are English. Her speech dances between Arabic and French and Algerian, and I do my best mental gymnastics to…
curriculum…

“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…
games…

“Oops, I Forgot”: Small, Beautiful Moments

2 Jan 20228 Oct 2022
I sat with fourth grade teacher Ms. Goldman in the back of her classroom as students cleaned up materials from the class. There were 15 minutes left in the school…
in the classroom

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…
curriculum…

Problem Based Lesson #3: Learning From One Another in Grade 4

9 Jan 202026 Jun 2020
This is a post in a series about problem based instruction in fourth grade -- centering on a series of lessons classroom teacher Claire* and I taught about symmetry. This…
education…

Problem Based Lesson #2: Making Connections with Symmetry in Grade 4

8 Jan 20205 Feb 2022
This is a post in a series about problem based instruction in fourth grade -- centering on a series of lessons classroom teacher Claire* and I taught about symmetry. This…
curriculum…

Problem Based Lesson #1: Launching Symmetry in Grade 4

7 Jan 202026 Jun 2020
This is a post in a series about problem based instruction in fourth grade -- centering on a series of lessons classroom teacher Claire* and I taught about symmetry. Part…
curriculum…

Getting Started with Problem Based Learning in Grade 4

6 Jan 202026 Jun 2020
What are the conditions that inspire teachers to take on problem based instruction? This isn't a story about how you can determine when a teacher -- novice or experienced --…
games

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…
games…

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…
games

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…
in the classroom

The Cookie Recipe: Learning Math from Students

1 Apr 20195 Feb 2022
Fourth grade teacher Alicia and I have a beautiful habit of doing math together when planning. We try out problems, and anticipate ways we think students.* *This work is made…
in the classroom

You’re Both Right: Examining and Honoring Mathematical Assumptions

21 Mar 201922 Jun 2021
Even from across the room, there was no mistake: Jacob and Ian were deep into a mathematical debate. Jacob had pulled his chair up to Ian's desk, and they were…
in the classroom

The Striped Snake Barbecue Puzzle: Exploring “Challenge” in 3rd Grade

4 Mar 20196 Feb 2022
Who gets to be challenged in class? How does the work we give students impact their status (or how they perceive their status) in the classroom? Meet Calvin You've probably…
curriculum…

“Why is the math teacher here for social studies?”

16 Jan 20196 Feb 2022
I slipped quietly into Room 304, trying not to distract the fourth graders, who were finishing up a writing assignment. I set up my laptop to project to the white…
curriculum…

#TeamBlankSpace

3 Jan 2019
Every time a child says, 'I don't believe in fairies,' there is a fairy somewhere that falls down dead.J. M. Barrie, Peter Pan (1904) When a work page is overly rigid…
assessment…

Presuming Competence: Using Clinical Interviews to Support Classroom Instruction

13 Nov 201827 Nov 2018
"She's not on an IEP, but she's struggling in class. What should I do?" I don't know the student -- Alejandra, or Ali, for short -- very well, so I arranged…

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Recent Posts

  • Seeing the World through One Kindergartner’s Eyes 18 May 2023
  • Fractions in Fractions: Sparking Creative Mathematical Thinking 9 May 2023
  • “Teachable Moments,” and a Tale of Two Detours 27 Apr 2023
  • The Case of the Impossible Triangles 3 Apr 2023
  • Bugs Jump Really High #tmwyk 1 Apr 2023
  • How We Listen: Astrid’s Thinking about 5 x 6 27 Mar 2023
  • Ramadan Pizzas: Mathematizing Children’s Literature #tmwyk 22 Mar 2023
  • “It’s as fat as it is tall”: Language and Concept Development with Quick Images 7 Mar 2023
  • Listening to Understand: Visualizing Adrian’s Thinking about Comparing Fractions 26 Feb 2023
  • Preserving Equality — Algebraic Thinking Across Grade Levels 13 Feb 2023

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Upcoming Conference Presentations & Workshops

October 12, 2023
ATMNE Conference
(Portland, ME)
“Cultivating Student Ownership of Mathematical Language and Ideas” (with Louisa Connaughton)

October 27, 2023
NCTM Annual (Washington DC)
“Counting Collections as Context for Liberation” (with Kassia Omohundro Wedekind)

SEE OTHER RECENT EXPERIENCES…

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#tmwyk access centering students ideas child study clinical interview desmos division education equity five practices formative assessment fractions games geometry grade 1 grade 2 grade 3 grade 4 grade 5 grade 6 grade 7 grade 8 illustrative mathematics intervention investigations Investigations (Inv3) kindergarten listening making connections multiplication problem-based instruction problem-based learning productive discussions race remote learning slow reveal graphs student thinking student work visual representations writing
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