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
 Seven reasons behind math anxiety and how to prevent it
 Mental math "mathemagic" with Arthur Benjamin (video)
 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
 Math Stars Worksheets — a comprehensive set of newsletters with excellent activities
 Problem Solving Decks — activities to get your kids thinking
 Learn to recognize numbers — a game for preschoolers
 Kindergarten math— an outline & recommendations
 Using a 100bead abacus in elementary math
 Learn to recognize coins game
 Why are math word problems SO difficult for children?
 Using a calculator in elementary grades?
 Grades K2 instructional resources — originally from the state of North Carolina
 Grades 35 instructional resources — originally from the state of North Carolina
Place Value Lessons

Grade 1
 Teaching tens and ones
 Tens and ones practice
 Counting in groups of ten
 Skipcounting (0100)
 Comparing (0100)
 Cents and dimes
 Place Value  hundreds
 Comparing (01000)
 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
Multiplication Lessons

Grade 3
 Multiplication concept as repeated addition
 Multiplication on a number line
 Multiplication is commutative
 Multiply by zero
 Multiplication word problems
 Order of operations
 Structured drill for multiplication tables
 Multiplying by whole tens & hundreds
 Distributive property
 Partial products  the easy way
 Partial products  video lesson
 Multiplication algorithm
 Multiplication Algorithm — TwoDigit Multiplier
 Scales problems  video lesson
 Estimation when multiplying
Grade 4
Division Lessons

Grade 3
 Division as making groups
 Division/multiplication connection
 Division is repeated subtraction
 Zero in division
 Division that is not exact (remainder)
 Divisibility
 How to teach long division
 Zero in dividend
 Remainder & long division
 A twodigit divisor
 Repeated subtraction and long division
 Why long division works
 Review of division topics
 Divisibility within 01000
 Divisibility rules
 Prime factorization 1
 Prime factorization 2
 Sieve of Eratosthenes
Grade 4
Fraction Lessons
Why are fractions so difficult to learn?
 Understanding fractions
 A fractional part of group
 Mixed numbers
 Fractions to mixed numbers and vv.
 Adding like fractions
 Equivalent fractions
 Adding unlike fractions 1
 Adding unlike fractions 2: Finding the common denominator
 Adding mixed numbers
 Subtracting mixed numbers
 Subtracting mixed numbers 2
 Measuring in inches
 Comparing fractions
 Simplifying fractions
 Multiply fractions by whole numbers
 Multiply fractions by fractions
 Multiplication and area
 Simplify before multiplying
 Dividing fractions by whole numbers
 Dividing fractions: fitting the divisor
 Dividing fractions: reciprocal numbers
 Dividing fractions: using the shortcut
Decimals Lessons
Middle
 Math Stars Worksheets — a comprehensive set of newsletters with excellent activities
 Problem Solving Decks — activities to get your kids thinking
 Grades 68 instructional resources — originally from the state of North Carolina
 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
 Handson with pi
 Fibonacci numbers and the golden section
 Sine in a right triangle
 Square roots without a calculator?
 Rational numbers & converting repeating decimals into fractions
 Where do you need math, square roots, or algebra in real life?
 Where do you need exponents in everyday life?
 Balance illustrates equation solving
Geometry Lessons
High School
 Why high school geometry is difficult
 Help with high school geometry
 What is proof?
 Twocolumn proof vs. paragraph proof
 Proving is a process  logarithm problem
 High school indicators
 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?