Remembering Math Beyond Chapter 1

[mathdad]

As most of you already know, I am using the MHB to review precalculus. I took this course way back in 1993 and got an A minus. I also use youtube to review this beautiful material.

I have noticed that many tutors here can easily answer calculus 1 questions as they can calculus 3, precalculus as well as college algebra, algebra 1 as well as algebra 2, geometry as well as trigonometry, etc. How does one retain all this information fresh in the mind? For example, when I complete chapter 1 in any math book, and feel comfortable with the material just learned, by the time I am half way through chapter 2, I have already forgotten most of chapter 1. If I am in chapter 5, I have forgotten chapters 1 through 4.

1. Can this be a retention problem?

2. How do you, personally, retain so many math topics and courses learned long ago?

3. Answering math questions on a daily basis is not the solution. I answer precalculus questions almost everyday. What can I do to increase my math skills to such degree that it makes no difference if the questions in front of me are precalculus, geometry, trigonometry, whatever?

 

[lofgran]

Thank you for sharing your experience and concerns about retaining math knowledge. I understand the importance of continuously refreshing and expanding our knowledge in any subject, including mathematics.

To answer your first question, yes, this can be a retention problem. Our brains are wired to prioritize and remember information that we use frequently. If we don't regularly practice and apply certain concepts, they can fade from our memory over time. This is why it is important to constantly review and practice math topics, even if we feel confident in our understanding.

As for your second question, I personally retain math knowledge by regularly practicing and applying it in my work and daily life. I also find it helpful to make connections between different math topics and courses, as they are often interconnected. For example, understanding algebraic concepts can help with understanding calculus. Additionally, using mnemonic devices or creating visual aids can also aid in retention.

Lastly, to address your third question, I would suggest incorporating different methods of learning and practicing math. This can include solving practice problems, teaching the material to someone else, or even creating your own study guides. It is also important to continuously challenge yourself and seek out new and more difficult problems to solve.

In summary, retaining math knowledge requires regular practice and application, making connections between different topics, and using various learning methods. With dedication and persistence, you can increase your math skills and feel confident in tackling any math problem that comes your way.

Best of luck in your studies!