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Math Hints: Easy Mathematical Strategies from Counting Through Calculus
MathHints.com (formerly shelovesmath.com) is a free website that includes hundreds of pages of math, explained in simple terms, with thousands of examples of worked-out problems. Topics cover basic counting through Differential and Integral Calculus! Use Math Hints to homeschool math, or as a supplement to math courses at school. The website was developed by Lisa Johnson, a retired telecom engineer, who has tutored math for over three decades.
My philosophy on teaching math:
- You can’t study for math tests without doing problems! A lot of times, I think I know the subject I’m tutoring (by looking at the book), and then when I get in there and start solving problems, I realize that I didn’t know it as well as I thought I did!
- Learning math should be an active experience and should relate to the world. For example, use “simpler numbers” if a problem’s numbers are complicated. For example, paying $ \$4$ for $ 2$ oranges makes division more obvious for a unit rate than paying $ \$5.88$ for $ 3$ oranges.
- Learning math requires an understanding of what to “memorize” (for example, the tools), and what to “understand”. We don’t need to reinvent the wheel; it’s already been invented. Don’t worry if you have to memorize something with math without “understanding” it!
- Learning more advanced math is no more than building on what is already known. For example, if you can add $ 2+2$, and build with mathematical tools that you’ll learn slowly, you can be taught to solve a complicated Calculus problem.
- Math books tend to “brag” and try to explain things with difficult words that sometimes don’t make sense! Math can be explained more easily with every-day words.
- Sometimes there’s just one little concept that isn’t known or understood that makes a whole new math concept difficult. It maybe required to go backwards and relearn this concept.
Math = Rules + Examples + Practice, Practice, Practice! ENJOY!
Note: Please give me feedback for this site at lisa@mathhints.com. Thanks!
Note: The tools I use to create the graphs and equations are Graph (free!) and MathType, respectively.
Basic Math
Adding and Subtracting | Decimals |
Multiplying and Dividing | Fractions |
Prime Numbers, GCF and LCM | Metric System |
Pre-Algebra
Percentages, Ratios, and Proportions | Powers, Exponents, Radicals, and Scientific Notation |
Negative Numbers and Absolute Value | Order of Operations (PEMDAS) |
Introduction to Statistics and Probability
Beginning Algebra
Intermediate Algebra
Advanced Algebra (also check Pre-Calculus below for Advanced Algebra)
Pre-Calculus/Even More Advanced Algebra
Trigonometry
Differential Calculus
L’Hopitals (L’Hôpital’s or L’Hospital’s) Rule (in Integrals section)