FlickrStorm. Search on Flickr with some Magic. Visualizing Basic Algebra | Oliver Steele. Last weekend, I shared some interesting properties of numbers with my kids. The great thing about explaining something to a non-expert is that you have to actually understand the topic. (This is why making teaching universities and research universities the same actually makes sense.)
If you hide behind a formalism, the explanation won’t work. Usually, this means that you didn’t understand why the formalism worked either. This is why I thought “why are far away things smaller?” Some of the interesting properties of numbers are: that (n + 1)×(n-1)=n2-1: that the perfect squares (0,1,4,9,…) go up by successive odd numbers (1,3,5,…); and that the area of a triangular number (1+2+…+n) has a closed form. Multiplication and division are grounded in visuospatial concepts, which is why these number theoretical results are easy to understand. Properties of Addition Addition is associative: and commutative: Multiplication is Commutative The commutative law is that a×b=b×a.
Distributive Law ! Addendum. A Periodic Table of Visualization Methods. Concept Mapping Resource Guide. General Reading. A good place to start learning about concept mapping is by doing some reading of the primary background articles. Here are some of the "classic" articles that are a good starting point: Web Page Introductions. There are also several good introductory web pages available for the beginner: There are two major websites that act as major resources on concept mapping: Concept Systems Incorporated This is, of course, the primary website and the only one from which you can download the software and obtain information about licensing and training.
Presentations. Introduction to Concept Mapping Presentation in San Diego, January 13, 2005. Knowledge Base and Online Help. Tutorial. Training. Worksheets. Downloading. When you complete the form, the download page will be displayed. Installing.