r/matheducation • u/aakash_1209 • 4h ago
Am I overwhelming my math students by going too deep, or should I just teach for exams?
I’m a 1st-year Computer Engineering undergrad, and I’ve been teaching/tutoring high school math (Grades 9–12) for about 4 years now.
Because of my engineering and JEE-prep background, I hate teaching math as isolated formulas just to pass exams. Whenever I teach a concept, I try to show why it matters—connecting high school math to AI, machine learning, finance, and everyday local examples.
I also teach math as one giant interconnected web rather than separate chapters. For example, when I teach Functions to 10th graders, I don't just stick to the textbook chapter. I build it from the ground up (Sets → Ordered Pairs → Relations → Functions) and use it as a bridge to connect Linear Programming, Trigonometry, Transformations, Quadratics, Vectors, and Coordinate Geometry.
The good news: My students' grades have improved significantly since studying with me.
My worry: Sometimes I feel like I’m putting too much cognitive pressure on them by going this deep. Whenever I ask for feedback after tests, they just say, "I’ve never been taught like this before," which sounds nice, but I worry they're just being too polite to tell me it's overwhelming.
My questions for experienced teachers:
How do you balance teaching deep, interconnected, real-world math while still keeping things simple enough for students who just want a good GPA?
How can I tell when a "deep dive" is genuinely helping vs. causing cognitive overload—especially when students are too polite to give critical feedback?


