Visual Math: See How Math Makes Sense -
Pictures are less intimidating than dense formulas.
cover the exact same amount of space. This makes "equivalent fractions" instantly intuitive. 3. Algebra as a Balanced Scale Equations are simply a search for balance. Imagine a playground seesaw. If you have on one side and on the other, the scale is level. The Logic: To keep it level while finding , you must take
If you can "see" the problem, you can often find a shortcut that isn't obvious in the text. Visual Math: See How Math Makes Sense
Finding the area of an irregular shape by slicing it into infinitely thin rectangles and adding them up.
Fractions represent parts of a single unit, usually a circle (pie) or a bar (chocolate). is one half of a circle; is two quarters. The Logic: By looking at the shapes, you can see that Pictures are less intimidating than dense formulas
Here is a quick guide to seeing the logic behind the numbers. 1. Multiplication as Area
is often taught as a formula, but it’s actually about physical space. If you have on one side and on the other, the scale is level
The physical area of the two smaller squares, when added together, perfectly fills the area of the largest square on the longest side (the hypotenuse). 5. Calculus as Slicing and Zooming Calculus is the math of change, visualized through motion.