I have tried three different math curricula with my kids, and nothing stuck until I read this book. Dr. Broaddus explains why regrouping works instead of just telling you to carry the one. The drawings and block models made sense to my eight-year-old right away. I finally feel like I know what I am doing when I teach math.
The thing I loved most was how the book shows multiple ways to explain the same concept. When one student didn't get fractions with circles, I tried the strip model from chapter four, and something clicked. It is not a bunch of theory. You can actually use these ideas the next day. My students are complaining less about math.
Fractions used to make my oldest cry. Now I understand why. Dr. Broaddus helped me see that I was teaching the procedure without building the foundation. The Cuisenaire rod examples changed everything for us. My daughter finally understands that one-half is bigger than one-third. That might sound small, but for us it was huge.
I graduated with a math degree, but had no idea how to explain basic operations to second graders. This book filled that gap. The section on integers with two color chips saved me. I used to dread teaching negative numbers. Now I actually look forward to it because I have models that work. It is practical without being boring.
Many of my students have given up on math because they think they are bad at it. This book gave me new ways to show them they are not. The number line strategies for subtraction and the step-by-step approach to multiplication helped several kids gain confidence. Dr. Broaddus writes like someone who has been in the trenches.
I have been teaching elementary math for twelve years and still learn new things. The breakdown of the twelve problem types for addition and subtraction made me rethink how I write word problems. Also, the partial quotients method for division is something I wish I had learned years ago. This is not just for beginners.