I remember the moment in high school physics where I had an epiphany that the velocity equations the class was memorizing looked a lot like derivatives. We just happened to be covering derivatives in calculus at the time and my personal discovery meant I no longer had to memorize the velocity equations (I hated memorizing stuff)!

I brought up my discovery with my calculus prof later and he was so pleased for me (of course it was obvious to him). It's these small victories / "click moments" that grew my love of math and I hope to pass them on to my kids through their own discovery.

Maybe it's just me. But when I get the feeling like I just beat the system, even in a really small way, it's a rush.