Re-learning math from the basics -- Go through grades or topics?

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Discussion Overview

The discussion revolves around the approach to restudying mathematics from the basics, specifically whether to study material grade by grade or topic by topic. Participants explore methods for self-evaluation to identify starting points based on individual strengths and weaknesses in math knowledge.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant suggests estimating a starting grade based on personal confidence in topics and taking tests to assess knowledge, moving on or reviewing as necessary.
  • Another participant emphasizes the importance of following a structured order in learning, cautioning against skipping foundational concepts.
  • Some participants propose that reviewing from an adult-level or junior-high level textbook may be beneficial for those who feel confident in certain areas.
  • There are mentions of adult education classes that provide diagnostic tests to help place students in appropriate courses.
  • Participants discuss the difficulty in finding evaluation tests online, with suggestions to search for standardized math tests or practice tests that may be available for free.
  • One participant reflects on their past learning experience, noting that rote memorization led to gaps in knowledge and expressing a desire to identify weak areas for focused study.

Areas of Agreement / Disagreement

Participants express differing views on whether to study in a strict order or to focus on weaker areas first. There is no consensus on the best approach, and multiple strategies are proposed.

Contextual Notes

Some participants note the challenges in finding appropriate evaluation tests and the potential for paywalls on certain resources. The discussion highlights the variability in individual math backgrounds and the need for personalized approaches to restudying.

Who May Find This Useful

This discussion may be useful for individuals looking to refresh their math skills, particularly those considering self-study or adult education options.

Zephyyr441
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Hi, everyone!

I'm planning on restudying math from the beginning (K-12), via KhanAcademy, MathIsFun, and plenty of other resources.

Now, what I'd like to ask is, as the title says, should I study material grade by grade or topic by topic?

Additionally, is there a way to test myself to know from which grade/topic I should start, like doing some sort of "evaluation test" or something similar whether on KhanAcademy or some other website?

I'm asking this primarily because I know that early math will be a breeze to go through, so instead of wasting time on that, I would like to know if there is a way to start from somewhere where I'm weak and have holes to fill in?

Or should I ignore that and immediately start from the 1st grade and reconsolidate my foundations?

Any advice?
 
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I don't know of any sites that offers an evaluation. Have you had any luck searching the web?

If you can't find one, I imagine you have some idea of which topics you remember and which ones you might not be so confident about. So what I'd do is estimate a grade to start at and just start taking tests to see if you already know the stuff. If you do well, just go on to the test for the next topic. If you don't do well enough as far as you're concerned, then go through the unit on that topic to review and then retest. If you find yourself struggling a lot, then maybe go back to an earlier grade and try again. On the other hand, if it seems too easy, skip ahead a grade.
 
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Well, there's a reason material is taught in a certain order. I wouldn't want to go too far in one direction without "catching up" on others. To pick a goofy example, you can't be drilling down into calculus before you get to subtraction.
 
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Zephyyr441 said:
I'm asking this primarily because I know that early math will be a breeze to go through, so instead of wasting time on that, I would like to know if there is a way to start from somewhere where I'm weak and have holes to fill in?

Or should I ignore that and immediately start from the 1st grade and reconsolidate my foundations?
Hard to say. Many people would not need to study everything in-order. One may do well to review from an adult-level or even a junior-high level Basic Mathematics OR Pre-Algebra textbook. One should recognize what their weak topics are as one carefully scans the book's topics, section by section.

Have you thought about registering into an Adult Education class/course? They are usually setup to give diagnostic tests to help place you into a course, and the courses, especially if delivery is by Individualized Instruction each have their own diagnostic tests to point-up what topics for you to study in any enrolled course.
 
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Zephyyr441 said:
Additionally, is there a way to test myself to know from which grade/topic I should start, like doing some sort of "evaluation test" or something similar whether on KhanAcademy or some other website?
I did a Google search on standardized math tests for grammar school and high school and got lots of good hits. Maybe try that Google search to see if any of those K-12 evaluation exams might help you out.
 
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vela said:
I don't know of any sites that offers an evaluation. Have you had any luck searching the web?

If you can't find one, I imagine you have some idea of which topics you remember and which ones you might not be so confident about. So what I'd do is estimate a grade to start at and just start taking tests to see if you already know the stuff. If you do well, just go on to the test for the next topic. If you don't do well enough as far as you're concerned, then go through the unit on that topic to review and then retest. If you find yourself struggling a lot, then maybe go back to an earlier grade and try again. On the other hand, if it seems too easy, skip ahead a grade.

Vanadium 50 said:
Well, there's a reason material is taught in a certain order. I wouldn't want to go too far in one direction without "catching up" on others. To pick a goofy example, you can't be drilling down into calculus before you get to subtraction.

symbolipoint said:
Hard to say. Many people would not need to study everything in-order. One may do well to review from an adult-level or even a junior-high level Basic Mathematics OR Pre-Algebra textbook. One should recognize what their weak topics are as one carefully scans the book's topics, section by section.

Have you thought about registering into an Adult Education class/course? They are usually setup to give diagnostic tests to help place you into a course, and the courses, especially if delivery is by Individualized Instruction each have their own diagnostic tests to point-up what topics for you to study in any enrolled course.

berkeman said:
I did a Google search on standardized math tests for grammar school and high school and got lots of good hits. Maybe try that Google search to see if any of those K-12 evaluation exams might help you out.

Thank you all very much for your suggestions and opinions, I really appreciate it.

I did try to Google for evaluation tests or diagnostic tests or something like that, but most of the time I either got something unrelated to what I was looking for, or something stuck behind a paywall.

I will try to find some tests by googling
standardized math tests for grammar school and high school
like @berkeman said, so hopefully, I'll find some good examples.

As for my math knowledge before, I forgot to mention that the last time I did math was in high school which was about 6-7 years ago. Each time I did math tests I managed to get a C and B (sometimes A's, but those were rare).

The problem with the method of studying back then that I was using was rote learning. I crammed everything the night before tests, so everything that I learned all those days at school, I basically forgot now. Which is the reason why I'm planning on restudying everything from the point where I'm weakest all the way up to the pre-college material.

This is the reason why I'm looking for some sort of "evaluation" or "diagnostic" test to see where I should start.

For example, I know how to do arithmetic operations (ASMD) with whole numbers, fractions, decimals, etc. I know percentages, exponentiation, rooting, ratios, proportions, and elementary algebra. But that's about all I can remember right now, so I don't know where to start right now.

I think I might do KhanAcademy's Course Challenge Quiz on each grade and write down topics on which I'm struggling then go topic by topic, if not the whole grade if all those topics are in one grade :D

Thanks again for the replies guys, it really means it
 
Zephyyr441 said:
I will try to find some tests by googling

like @berkeman said, so hopefully, I'll find some good examples.
BTW, I didn't click into any of the many links, but in case each of those standardized tests are things that you have to sign up for and pay money to take, you might look for "practice tests" on the Internet for any of those tests that look useful. Just use the name of each standardized test in each search for the practice tests, and you should be able to find some free ones to take on the web.
 
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berkeman said:
BTW, I didn't click into any of the many links, but in case each of those standardized tests are things that you have to sign up for and pay money to take, you might look for "practice tests" on the Internet for any of those tests that look useful. Just use the name of each standardized test in each search for the practice tests, and you should be able to find some free ones to take on the web.
Gotcha, I'll look into it. Thanks for the info!
 
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