>"But teacher, I'll always have a calculator". Damn right. A calculator and Wikipedia and chatgpt. Remembering the quadratic equation is literally useless knowledge to retain.
Memorizing the exact formula of the Quadratic equation may not be necessary - knowing that the quadratic equation exists and what it is does is the useful part. Even more useful is to recognize a problem and realize the quadratic equation applies to it.
Trigonometry or calculus are better examples of this. Memorizing every formula and then promptly forgetting about them 5 minutes after passing the test is not useful but learning the concepts and the fundamentals and how they apply to solving a whole slew of problems is the useful part. Algebra is extremely abstract (especially if you are a school pupil - "I'll never use this in the real world") but understanding it unlocks a whole lot of higher level conceptual ways of thinking and approaching problem solving.
You'll have far better success using a calculator (or chat GPT or Wikipedia) if you know not just what to punch into it by the why as well.
Memorizing the exact formula of the Quadratic equation may not be necessary - knowing that the quadratic equation exists and what it is does is the useful part. Even more useful is to recognize a problem and realize the quadratic equation applies to it.
Trigonometry or calculus are better examples of this. Memorizing every formula and then promptly forgetting about them 5 minutes after passing the test is not useful but learning the concepts and the fundamentals and how they apply to solving a whole slew of problems is the useful part. Algebra is extremely abstract (especially if you are a school pupil - "I'll never use this in the real world") but understanding it unlocks a whole lot of higher level conceptual ways of thinking and approaching problem solving.
You'll have far better success using a calculator (or chat GPT or Wikipedia) if you know not just what to punch into it by the why as well.