You have watched your child set the problem up correctly, then write an answer that makes no sense. Shown something like 2 + __ = 5, they fill the blank with 7, sure they did the math right. You probably wondered if they rushed, or stopped paying attention, or were simply “bad at math.” Here is what almost no one tells parents: your child read one symbol exactly the way school taught them to read it, and that symbol has quietly been steering them wrong since first grade. Their mind is fine. The equal sign was never explained.
FROM THE VIDEO
Key moments from The Hidden Power of the Equal Sign (Ep 37) with Dr. Sarah Powell of UT Austin:
Common questions from parents
Why does my child set up the problem right but write the wrong answer?
Is reading the equal sign wrong a sign of dyscalculia?
What do I actually say at home?
My child is in middle school. Is it too late?
Shown 2 + __ = 5, most kids write 7. Not a math failure: they learned the equal sign means “do something,” never “the same as.” Fixing that one symbol lifted word-problem scores a year later.
The Equal Sign Means “Do Something.” It Should Mean “The Same As.”
Dr. Sarah Powell of UT Austin has spent close to twenty years on a single symbol, and what she found explains a pattern parents see constantly. Most children, without being taught otherwise, read the equal sign as a command to act: see the numbers, add or subtract, write an answer. Powell calls this an operational reading, and it works fine for 2 + 3 = __, so it hides. Then the equation changes shape, like 2 + __ = 5, and the child writes 7, because the equal sign has only ever meant “do the operation and put the answer next.” The correct reading is relational: the two sides of the equation have to balance, to be the same as each other. Two plus three is the same as five. This is not a small-child glitch that clears up on its own. The research Powell points to, alongside cognition researchers like Bethany Rittle-Johnson, Nicole McNeil, Eric Knuth, and Martha Alibali, finds many middle-schoolers, and even some college students, still reading the equal sign operationally, which silently breaks their work the moment an equation grows more complex, like 2 + __ = 6 + 7.
The misread tends to show up in a few familiar shapes:
- Filling 2 + __ = 5 with 7, because the child added the two numbers they saw.
- Treating 7 = 5 + 2 as wrong or backwards, because the answer is supposed to come last.
- Adding everything in 2 + __ = 6 + 7 instead of balancing the two sides.
Shown two plus blank is the same as five, a child writes seven, and it looks like a math failure. It is one misread symbol, trained into them two hundred equations at a time.
Laura Lurns · Learning Success expert
Your Child Was Conditioned Into the Mistake. That Means It Comes Undone.
Here is the part that should lift a weight off you. The operational misread is not something your child invented, and it is not a sign of a faulty brain. It was trained. Powell puts it plainly: in the first hundred or two hundred times a young child meets the equal sign, the equation almost always looks the same, a number, an operation, then the equal sign sitting in the second-to-last spot with a blank for the answer. Roughly 80 to 90 percent of the equations elementary students see follow that one shape. Do anything two hundred times in a row and you learn the pattern, so children absorb “equals means write the answer here” long before anyone explains what it actually means. Many are never told at all. One teacher in this conversation, writing a book for students who find reading and math challenging, discovered the gap sat even earlier than she expected: before her students could hold onto addition facts, they needed to grasp that one side balances the other, with no operations at all, three counters are the same as three counters. “The bulk of our kids needed to start with that,” she said. “Unlock everything else.” A label or a score describes where a child sits today. It says nothing about where they land after the right kind of practice, and this is a textbook example: one un-taught concept, not a ceiling.
Key takeaways
- The equal sign gets misread: Most children read it as “do something,” not “the two sides are the same.”
- The error is trained, not innate: Eighty to ninety percent of equations children see condition the wrong meaning.
- Five minutes a day works: A relational equal-sign routine lifted word-problem scores and held a year later.
Five Minutes a Day, and It Held a Year Later
When Powell tested this, the result was the kind of thing parents rarely hear. She ran two identical word-problem programs with third graders. The only difference was that half the children spent five minutes a day on the equal sign, reading every equation as “the same as,” working balance scales and drawings until the idea of balance was solid. Those five-minute children improved their understanding of the equal sign, which improved their equation solving, which in turn lifted their word-problem performance above the children who practiced word problems alone. A year later, in fourth grade, only the equal-sign group still held that advantage. Five minutes a day, one concept, a durable head start. You do not need a curriculum to start tonight.
- Swap the word. Read “=” as “is the same as,” every time. “Two plus five is the same as seven.” Ask your child what “equals” means; if you get silence, you have found the gap, not a deficit.
- Flip the equation. Write 7 = 5 + 2 and 3 = 3 sometimes, so the equal sign is not always the last thing before the answer.
- Draw the balance. For 4 + __ = 7, draw four shapes on one side and seven on the other, then ask “how many more do you draw to make the sides the same?” Then write it as 4 + 3 = 7 and read it aloud.
This is also where number sense and the other building blocks of math live, and they respond to short, steady practice the same way the equal sign does. If your child has quietly been filed under bad at math, the same pattern usually holds: one un-taught idea hiding under what looks like a deficit.
Five minutes a day on what the equal sign means lifted these children above the ones who only practiced word problems, and a year later the advantage was still there.
Laura Lurns · Learning Success expert
You want your child to walk into algebra feeling like math makes sense, not like a trapdoor waiting to open. What stands in the way is rarely your child. It is a system that drills one equation shape two hundred times and never stops to say what the symbol in the middle means, then files the children it confused under “struggles with math.” You are the person positioned to name the real gap and close it, five minutes at a kitchen table, and nobody will advocate for your child the way you will.
Brain Bloom builds the underlying math skills these equations rest on, number sense, working memory, and reasoning, in short daily sessions you run at home.
A shaky grasp of the equal sign rarely travels alone. Most children who find word problems hard also show signs of strain in working memory, attention, or processing speed, the systems that hold an equation together while a child solves it. All Access opens every Learning Success program at once, so you build the whole foundation instead of chasing one symbol at a time.
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