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# Math Lessons and Teaching Tips

This is a collection of articles on math education topics plus a collection of actual lessons for many elementary math topics. We hope these lessons and articles will help you a lot in your math teaching!

A good way to find the topic you're interested in is to use the SEARCH box below. Most likely you'll find something about most elementary and middle school math topics.

Jump to lessons and articles about:

General Elementary Middle High School |
Place value Addition & subtraction Division Multiplication Fractions Decimals Geometry |

### General

Some of these links to go to *Homeschool Math Blog* and *Math Mammoth* websites, written by Maria Miller.

- Four habits of highly effective math teaching
- How to help a student who is behind in math
- Growth mindset and the value of mistakes in math learning
- Should you use timed tests for math facts?
- Why are math word problems SO difficult for children?

Hint: it has to do with a "recipe" that many math lessons follow. - The do's and don'ts of teaching problem solving in math

Advice on how you can teach problem solving in elementary, middle, and high school math. - How to set up algebraic equations to match word problems

Students often have problems setting up an equation for a word problem in algebra. To do that, they need to see the RELATIONSHIP between the different quantities in the problem. This article explains some of those relationships. - From CLOSED math problems (with one answer) to OPEN ones
- How to motivate & prevent math anxiety
- Keeping math skills sharp in the summer
- Geometric vanish puzzles
**Science resources**

Short reviews of the various science resources and curricula I have used with my own children.

### Elementary

- Learn to recognize numbers — a game for preschoolers
- Kindergarten math— an outline & recommendations
- Using a 100-bead abacus in elementary math
- Learn to recognize coins game
- Why are math word problems SO difficult for children?
- Using a calculator in elementary grades?

## Place Value Lessons-
Grade 1
- Teaching tens and ones
- Tens and ones practice
- Counting in groups of ten
- Skip-counting (0-100)
- Comparing (0-100)
- Cents and dimes
- Place Value - hundreds
- Comparing (0-1000)
- Place value - thousands
- Comparing thousands
- Rounding & estimating
- Rounding to the nearest 100
- Place value - big numbers
Grade 2 Grade 3 Grade 4 |
## Add & Subtract Lessons |

### Middle

Order of operations/PEMDAS

Estimation methods

Negative or zero exponents

Number to zero power is one - 2 proofs

How to teach proportions

Percent - the basic concept

Percentage of a number using mental math

How to calculate percentages of numbers

How to calculate percentages

Basics of percent of change

How to teach integers

Hands-on with pi

Fibonacci numbers and the golden section

Sine in a right triangle

Square roots without a calculator?

Where do you need math, square roots, or algebra in real life?

Balance illustrates equation solving

### Geometry Lessons

### High School

Why high school geometry is difficult

Help with high school geometry

What is proof?

Two-column proof vs. paragraph proof

Proving is a process - logarithm problem

Fascinating irrational numbers

Proof that square root of 2 is irrational

Rational numbers are countable

How does calculator find values of sine?

Fibonacci numbers and the golden section

Why does the square root algorithm work?