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Thoughts on the teaching and learning of mathematics

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Tag: Algebra

Substitution and Elimination
Posted on February 6, 2022February 6, 2022

Substitution and Elimination

Resources for those of us teaching students how to solve systems of equations with substitution or elimination. Continue reading Substitution and Elimination

Posted on July 4, 2021July 4, 2021

Beyond Math Conference 2021

Thank you to everyone who joined me at the Beyond Math Conference this summer. I hope you enjoyed my presentation on Getting the Most out of Math Tasks. As promised, here are some additional resources to accompany that presentation. Staircase Task During the video I did three tasks. First, I did a classic task called … Continue reading Beyond Math Conference 2021

Posted on February 11, 2019February 12, 2019

Percentages and Milk

Reduced Fat Milk and Milkfat Here’s an activity that my friend Nic Vitale and I wrote for MTMS‘ Math for Real and then found out that they had published something similar (Bu & Marjanovich, 2017) so they decided not to publish our article. It’s funny that Nic contacted me about this situation and we wrote it … Continue reading Percentages and Milk

Posted on January 29, 2019

Points and Lines

Here’s a math problem I thought of when I was driving today involving points and lines. Continue reading Points and Lines

Solve for y and substitute?
Posted on February 22, 2018

Solve for y and substitute?

Something I’ve been thinking about is the way we teach students to solve systems of linear equations using substitution. Consider for example the following system of linear equations: y = 3x + 4 and 2y – 3x = 16. Many textbooks would suggest the way forward is to  solve one of the equations for a … Continue reading Solve for y and substitute?

Why does elimination work?
Posted on November 19, 2017November 19, 2017

Why does elimination work?

Teachers typically emphasize two techniques (though there are certainly others) for solving systems of equations: substitution and elimination. The other day I asked my class of prospective middle and secondary teachers to explain why elimination works. I asked this because as I was sitting at my kitchen table that morning, My students were not able … Continue reading Why does elimination work?

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  • 180 Ideas: #20 Rate & Review
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