VS on Facebook:
Is it a good idea to use mind maps for formulas (like in Physics, Math etc)
Lev Goldentouch:
Using mindmap for formulas is pretty much what a computer does. As human, I would also dual code small funny animations of each specific factor in the formula and why/how it changes the end result.
For example:
Gravity F=G*m1*m2/r^2
- G=6.66*(10^-11): Do not fall on demon’s [666] horns [11]
- m1m2: If I get fat I will get to heavy to walk (m1).If I was on Jupiter I would weight as an elephant (m2).
- 1/r^2: If I jump high enough I will never fall (1/r^?). Gravitation strength with distance like light strength on paper (1/r^2!)
The keytostudy work-book will be published soon. In the meanwhile I decided to publish this exclusive content from the book.
Remembering formulas is typically a logical task. If you try to put formulas into PAO or Loci, you may memorize a specific formulation, but you will not be able to modify and reuse it sufficiently well. Statistics is something almost everybody needs to use.
Go to http://stattrek.com/statistics/formulas.aspx
Population correlation coefficient = ρ = [ 1 / N ] * Σ { [ (Xi – μX) / σx ] * [ (Yi – μY) / σy ] }
Now let us start to analyze what it means:
1. Population correlation coefficient = ρ = [ 1 / N ] * ΣF(X,iYi)
This means we have some average of a function of two populations over all instances. We take average over smarts of all married pairs.
2. The function is F(X,iYi)=Nx(X,)*Ny(Yi)
Product of normalized population instances. The relative smarts of a husband and the relative smarts of a wife generate smarts of a pair.
We normalize each population by mean and standard deviation.
On average women are a bit smarter than man. We negate this by subtracting average. Smart men are smarter than smart women, stupid men more stupid than stupid women – negate that by dividing by standard deviation.
4. Try to vocalize the process for dual coding
“We normalize X, and we normalize Y, their product on average is so correlated”
The steps are typically the same
-
Divide the formula into meaningful parts
-
Generate a story which explains why this is meaningful
-
Provide a cool example. Does not have to be right, but should be sufficiently simple to remember the rule.
-
Use common sense: if the common sense negates the result, need to update common sense. Otherwise we have mathematical intuition in work!
-
Mathematicians often report synesthesia of math formulas sounding like music. Try to dual code what you understood…
There are plenty of formulas on http://stattrek.com/statistics/formulas.aspx…
Try our method on them!