|
A parent once told me something that stuck. Their child had been learning math mostly through watching. Watching teachers. Watching videos. They watched carefully. And on the surface, it looked like things were going well. The work was getting done. So naturally, everyone assumed the learning was happening. Until one day the parent asked a simple question: "Can you explain how you got that answer?" And the student just sat there for a second. Not because they didn’t care. But because they had learned how to follow steps… Not how to explain their thinking. Watching Steps Isn’t the Same as Thinking Through Them Students are good at watching. They can often copy down something that works. They watch teachers break down problems. If no one pauses and asks them to respond… Then it’s easy for students to move forward without really knowing what’s going on. That part—the explaining part—is where learning deepens. Explaining Thinking Changes the Learning Something different happens when students have to explain what they’re doing. They slow down. They notice where they’re unsure. Then stop halfway through. That pause matters. Because that’s often the moment when confusion starts turning into understanding. Not silently. Out loud. This Skill Builds Confidence Over Time Students who get used to explaining their thinking don’t just memorize steps. They start actually making sense of problems. They learn how to recover when they feel stuck. That kind of confidence doesn’t usually come from watching alone. It grows through interaction. Through questions. Real learning isn’t just about seeing steps. It’s about understanding them well enough to talk through them. That’s a skill students can’t fully build on their own without conversations. If your child struggles to explain what they’ve learned later, you're not alone. Questions like, “What does this word mean here?” Getting them to explain what they are thinking …. that’s where deeper learning may need to begin. P.S. Don’t see what you are looking for? We are still adding classes. Message us at support@themathgift.com and tell us what class you are interested in. P.P.S. |
Helping students make sense of math, find joy, improve, and accelerate through our 1:1 lessons, classes, and curriculum.
It has never been easier for a student to get an answer without doing the work. Take a picture of a math problem. Upload it. Ask AI to solve it. Seconds later, there's the answer—often with all the work neatly written out. So what happens when cheating becomes that easy? That's the question Adam Grant recently explored in a New York Times article about cheating in the age of AI. And I think it's an important question for parents, too. We can put rules around technology. Teachers can change...
Recently, I read an article about a group of freshmen at UC Berkeley who showed up to their professor's office hours for help with calculus. But before they could get to the calculus, they got stuck on something much simpler. They were asked to solve: 7x - 5 = 9 It's a middle-school algebra problem. Their professor had to stop and walk them through it step by step. And this wasn't an isolated concern. Across the University of California system, professors are reporting that more students are...
I hear about more and more students learning math almost entirely through online programs. Watch a video. Answer some questions. Get a score. Move on. And I understand the appeal. Technology can grade instantly. It can tell us which questions a student missed. It can track progress and help us see where a student may need more practice. Those are incredibly useful tools. But there's an important distinction. A tool isn't a teacher. I've worked with students who have watched the same...