Understanding Math: Making Sense of Rational Numbers

When students struggle with fractions, decimals, and integers, it’s often assumed they’re missing skills. In reality, they’re missing understanding.This episode opens our Understanding Math series by focusing on how students make sense of rational numbers as quantities that have value, direction, and position—not just symbols to manipulate. We explore how early experiences with counting, comparing, and representing numbers develop over time, why the number line is such a powerful organizer of thinking, and what students need to understand before operations make sense.You’ll hear why rushing into procedures often leads to fragile learning, how a lack of magnitude and relational understanding impacts students’ ability to judge reasonableness, and what it looks like to slow down without lowering expectations. We also share concrete ways to help students reason about value, distance, and relationships across number systems—even when your current unit lives in another domain.This episode is designed to spark meaningful PLC conversations and give you something you can use immediately in your classroom. It sets the foundation for the rest of the month and prepares students to connect quantities more confidently as we move toward ratios, proportions, and algebraic thinking.Send a textBuild multiplication fluency through understanding with the Seeing Patterns, Building Power series. Two books now available on Amazon—plus check out my son’s new adventure novel, Anansi: Shadows of Myth and Mystery!Thanks for tuning in to this episode of the Make Math Happen podcast! If you enjoyed today’s conversation, subscribe on your favorite listening platform, leave a review, and share this episode with your fellow educators. You can also join the discussion and connect with me directly by clicking the link to join the Math Collective. Together, we’ll keep exploring practical strategies to transform classrooms and inspire students. Remember, new episodes drop every Sunday at 9:00 am, so mark your calendars! Until next time, keep making math happen, and I’ll catch you in the next episode.If you like math videos, let's connect: YouTube TikTok