This to me smacks of fear and really some perverse form of protectionism. The whole idea of "schooling" is built upon the premise that there is some fundamental set of knowledge that it's important for students to master before they can function in the world. However, with the advent of computers, the internet, and their miniaturization in the form of smart phones, any piece of human knowledge is instantly retrievable and usable.
What's the point of a semester long instruction in algebra or geometry still filled (mostly) with rote memorization of methods and formulas when those methods and formulas are available ubiquitously at the touch of a button. Schools see smartphones as an existential threat and rather than try to adapt their model of instruction to the tools that we all now have, they're attempting to ban them outright. I only see this leading to resentment and anger from students who are accustomed to instant, easy access to information.
It's context. The purpose of memorization, etc. is so that when you look at more complex ideas and concepts, you're not wasting cognitive load on foundational concepts like basic arithmetic.
I took a differential equations class last semester, where the easy part of quite a few problems was to solve a quadratic equation. And it was easy, because my algebra classes had correctly required me to practice that skill (and memorize the quadratic formula).
So, you say, I'm never going to take differential equations. And you very well might not. I have two responses to that:
1) That's true, you might not, but the guy sitting next to you will, and he doesn't even know it yet. If you were allowed to opt out of that subject, you both would, and he wouldn't even have a chance to make up for it later.
2) There are plenty of other subjects where the easy part is an algebra concept, and it's only easy because you practiced it years before.
What's the point of a semester long instruction in algebra or geometry still filled (mostly) with rote memorization of methods and formulas when those methods and formulas are available ubiquitously at the touch of a button. Schools see smartphones as an existential threat and rather than try to adapt their model of instruction to the tools that we all now have, they're attempting to ban them outright. I only see this leading to resentment and anger from students who are accustomed to instant, easy access to information.