I remember preparing for an interview for my first teaching position in the 90’s. I was told that I would likely be asked to explain my approach to teaching problem-solving. I jumped on the Internet to research problem-solving and craft my response. What I found...
Part/whole thinking begins in Kindergarten when students are expected to learn the number combinations for the numbers through 10. Below you see a graphic representation for the combinations for 5. These are often called number bonds. This is a year-long process as...
I remember being in a teacher’s classroom and the students were making equations to equal the number of the day, which was 44. I noticed that all the students were using just two numbers in their equations (40 + 4, 50 – 6, etc.). I wanted to try to push...
Ask teachers about problem-solving strategies, and you’re opening a can of worms! Opinions about the “best” way to teach problem-solving are all over the board. And teachers will usually argue for their process quite passionately. When I first...
Quick pop quiz. How many problem structures are there for addition and subtraction problems? If you said somewhere around 15 structures, you’re in the right ballpark. Unfortunately, students are often exposed to only the simplest structures. As teachers, we need...
The shift from additive thinking to multiplicative thinking is a monumental leap in mathematical understanding. It’s no wonder, then, that both the CCSSM and Texas TEKS stress concrete and pictorial learning and multiple representations in both 2nd and 3rd grade....
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