# Category: BlogPosts

## Equilateral Triangle Puzzle

At the start of the school year, I came across this tweet by @MathEqualsLove… This Week’s Puzzle: Equilateral Triangle. This puzzle is always a favorite! https://t.co/tPyH2w2spF #mtbos #iteachmath #teach180 #puzzlingclassroom pic.twitter.com/8Se6RJJepj — Sarah Carter (@mathequalslove) August 26, 2019 I loved the Equilateral Puzzle, so I finally got around to sharing it with teachers during a […]

## Perfect Quiz Protocol

We have long known that the most important aspect of schooling affecting student achievement is the effectiveness of the teacher in the classroom (Wright, Horn, & Sanders, 1997). So then, what exactly do effective teachers do? Two well-known people, Hattie and Marzano, have long thought about this very question. Both have created long laundry lists […]

## #TapeDiagramTuesday past problems

Here are the past problems posted for #TapeDiagramTuesday! September 10, 2019 September 17, 2019 September 24, 2019 October 1, 2019 October 8, 2019 October 15, 2019 October 22, 2019 October 29, 2019 November 5, 2019 November 12, 2019   November 19, 2019   November 26, 2019   December 3, 2019   December 10, 2019   […]

## Dividing fractions with common denominators

I recently was hanging out with some 6th grade teachers and, as often happens with teachers, we began talking shop. “Fractions…ugh”, said one teacher. “I’m getting into dividing fractions. I don’t know how to explain it to my kids any better than KEEP-CHANGE-FLIP”, she confessed. “I don’t teach that algorithm, because it never makes sense […]

## Multiplication facts with the Frayer model

I recently visited a 3rd grade class to share with the teacher ideas for teaching multiplication facts. She was particularly frustrated that her students were struggling with the larger facts – the sixes, sevens, eights, and nines. It was clear that while students had experience connecting multiplication with the idea of equal groups, students did […]

## The effect of great math teaching

Many, many years ago I walked into the classroom of a new teacher during her prep time and found this on her chalkboard… Doing my best of embody the famous quotation of G.H. Hardy, “A mathematician, like a painter or a poet, is a maker of patterns.”, I created a table of some powers of […]

## Math Teachers’ Circles

Imagine a golf coach who never plays golf. An English Literature teacher who doesn’t enjoy reading books. A lifeguard who can’t swim. Pretty absurd, right? Now imagine a math teacher who doesn’t do math. Unfortunately, this is often the case. Now I’m not talking about the math in the textbook. Of course, math teachers do […]

## Using the Empty Number Line

When I teach new mathematical concepts to my students, I always try to use some sort of visual model to make the learning easier. No duh! But what I have noticed is that over the years I have collected an odd assortment of models to teach everything without any theme to all the models. The […]

## Number Disks: A great way to visualize the operations

Recently, I have found myself vociferously advocating for more teachers to use number disks when teaching the four operations of whole numbers: addition, subtraction, multiplication, and division. Clearly my excitement for number disks has not yet rubbed off onto all the teachers I work with, because today I received the following question: Why are disks […]

## Jo Boaler Wants Everyone to Love Math

We’re a math-traumatized people, Jo Boaler says (although she uses the British locution “maths-traumatized”). It’s a belief she sees confirmed in everything from students crying over long division to MRIs that reveal young brains reacting to numbers as if they were snakes or spiders. from Pocket Here is where I got this article from.