Math skills, step by step
Plain walkthroughs of the specific skills that trip kids up, from fractions to long division.
Estimation: Teaching Kids to Know When an Answer Is Ridiculous
A kid wrote that 4 times 6 was 240 and didn't blink. Estimation is the skill that would've caught it. Here's how I taught kids to smell a wrong answer.
Arrays and Area Models: The Picture That Ties Multiplication to Real Math
Kids who memorize times tables still freeze on word problems. Arrays and area models give multiplication a picture, and the picture is what makes it stick.
Introducing Coordinate Grids: Plotting Points Without the Panic
The first day of graphing usually ends in tears or blank stares. Here's how I taught the coordinate plane so kids stopped guessing which number goes first.
Multiplying by 10, 100, and 1000: The Pattern Behind the Zeros
Just add a zero works until your kid hits decimals, then it falls apart. Here is what is really happening when you multiply by ten.
Converting Fractions, Decimals, and Percents: One Idea, Three Costumes
Kids treat fractions, decimals, and percents as three separate subjects. They are one number in three outfits, and that changes everything.
Understanding Remainders: What Long Division Leftovers Actually Mean
Most kids can write R3 at the end of a division problem without any idea what it means. Here is how to make the leftover make sense.
Fractions on a Number Line: The Model That Ties It All Together
Pizza slices work until a kid has to compare two-thirds and three-fourths. A number line is the one model that carries fractions all the way up.
Order of Operations at Home: More Than Just PEMDAS
PEMDAS is a memory trick that quietly teaches two wrong ideas. Here is how to teach order of operations so it actually makes sense to your kid.
What Is Algebra Readiness in Elementary School, Really?
Algebra readiness has almost nothing to do with algebra. Here are the elementary skills that actually predict who thrives in eighth grade, and how to build them.
Patterns and the Start of Algebraic Thinking in Elementary Math
Patterns look like kindergarten fluff, but they are where algebra actually begins. Here is how to grow that thinking at home with beads, tiles, and questions.
Reading Graphs and Charts: The Data Skill Schools Rush Through
Why chart-reading gets crammed into a single week each year, and how to build real data sense at home using cereal boxes, weather, and a jar of coins.
Elementary Geometry Basics Every Parent Can Teach in the Kitchen
Shapes, angles, symmetry, area, and volume are all sitting in your kitchen right now. Here is how to teach the geometry basics without a single worksheet.
Introducing Negative Numbers Without the Confusion
Negative numbers trip up smart kids because we teach them as rules to memorize. Here's how to make them make sense before a single rule shows up.
Adding and Subtracting Decimals: Line Up That Point
The single most common decimal mistake is lining numbers up on the right instead of on the point. Here is how to fix it for good.
Multiplying and Dividing Fractions: The Rules That Finally Make Sense
Kids memorize flip and multiply and then forget which fraction to flip. Here is what the rules actually mean, so they stick for real.
Adding and Subtracting Fractions Without the Tears
The pizza trick that makes fractions click, plus the one rule kids skip that causes most of the tears. A plain guide to adding and subtracting fractions.
The Area Model: Why Your Kid Multiplies With Boxes Now
Your kid multiplies 23 times 47 by drawing a grid of boxes, and you have no idea why. Here is what the area model teaches and how to help at home.
Long Division, Finally Made Clear for the Parent Helping at the Table
Long division falls apart when a kid chants the steps without knowing why. Here is how to teach it so each step actually means something.
Multi-Digit Multiplication at Home: The Standard Way, Explained Simply
The standard multiplication algorithm has two spots where kids fall apart. Here's how to teach it at home so both of them make sense.
Mental Math Strategies Kids Can Actually Do in Their Heads
The kids who are fast in their heads aren't memorizing more. They're using a handful of strategies you can teach at the kitchen table in a week.
Place Value to the Millions: Helping Kids Read Big Numbers Confidently
The commas are the secret. Once a kid learns to read big numbers by the groups between the commas, the millions stop being scary.
Fractions of a Set: Half of a Group Is Different From Half of a Cookie
Kids who nail half of a pizza often freeze at half of a bag of grapes. Here's why the jump is hard and how to make it click at the kitchen table.
Reading a Calendar and a Clock: The Time Skills Schools Assume Kids Have
A whole class of third graders once froze on one question: if practice ends at 5:15 and it's 4:40, how long until you're done? Here is how to teach kids elapsed time so it clicks.
Multi-Step Word Problems: Teaching Kids to Slow Down and Chunk
Most kids don't fail word problems because the math is hard. They fail because they rush. Here's how to teach them to chunk it into pieces.
Comparing Fractions: The Trick of Thinking About Missing Pieces
Which is bigger, 5/6 or 7/8? There's a way to see the answer in your head in about two seconds, and it beats cross-multiplying every time.
Measurement at Home: Teaching Inches, Feet, and Why We Estimate First
Measurement clicks fastest when kids guess before they measure. Here's how to teach inches and feet at home with a ruler and a few things off your shelf.
Number Sense: The Quiet Skill That Predicts Math Success
Some kids just seem to get numbers. It isn't luck or talent. It's number sense, and building number sense in kids is more everyday than you'd expect.
Area vs. Perimeter: The Mix-Up and How to End It for Good
Kids swap area and perimeter constantly, and it's usually not carelessness. Here's how I taught the difference so it actually held.
Decimals Make Sense Once Kids See Them as Money
A kid who's baffled by 0.25 knows exactly what a quarter is. Money is the bridge, and most curricula walk right past it.
Reading Is a Math Skill: Kids Who Can Calculate but Can't Decode the Problem
Your kid can rattle off 8 times 7 but stalls on the word problem right below it. Usually that gap is about reading, not numbers.
Word Problems: Why 'Look for the Keyword' Backfires
The keyword trick tells kids 'altogether means add.' It works until it doesn't, and then it wrecks their confidence. Here is what to teach instead.
Rounding Numbers Without the 'Look at the Neighbor' Chant
The rhymes and chants get kids rounding for a week and forgetting it by the test. Here is how to teach rounding numbers so it actually sticks.
Counting Coins and Making Change: Money Math That Sticks
Counting coins is where a lot of kids first meet real-world math, and it trips them up for one specific reason. Here is how to fix it.
Telling Time on an Analog Clock in a Digital World
Every screen in your house shows the time in numbers, so why bother with hands and a face? Here's the plain case for it, and how to teach it.
Equivalent Fractions: Why 1/2 and 2/4 Are the Same Pizza
Why 1/2 and 2/4 are the same amount of pizza, explained the way it should be taught: with something kids can actually see and hold.
Fractions Aren't Scary When You Start With a Sandwich
Most kids don't fear fractions. They fear the notation. Start with a real sandwich cut in half and the whole thing gets a lot friendlier.
Regrouping and Borrowing: What the 'Little 1' Actually Means
The little 1 kids write when they carry or borrow is not a rule to memorize. It is a trade. Here is how I get that across so it finally sticks.
Place Value Is the Foundation Everything Else Sits On
When a kid keeps making the same odd mistakes in bigger math, the problem is almost always place value. Here is how I teach it so it finally sticks.
Give the math a reason.
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