FROM THE VIDEO

Key moments from Ep171: Division Through The Years, A Session With Yvette Lehman with Yvette Lehman:

  • The one division symbol actually stands for two different actions, partitive fair-sharing and quotative measuring, and seeing both unlocked concepts she had struggled with for years. Watch at 27:17
  • The question that changed everything: not whether she was a math person, but whether she understood it yet, plus the rule that if you cannot represent an idea, that is the sign you do not understand it. Watch at 09:14
  • The reframe that moves the problem off the child: perhaps the content was never the hard part, and the way it was taught was what let everyone down. Watch at 10:42

Common questions from parents

My child says they are not a math person. Is that true?

It is a conclusion your child reached, not a fixed fact about their brain. Children build that belief from lessons that handed them steps to memorize without ever showing the meaning. A belief like that is overturned by new evidence your child gathers, one idea they truly understand at a time, rather than by argument.

What are the two types of division, and why does it matter?

The same division symbol describes two different actions. Partitive division is fair-sharing, where you know the number of groups and find how many go in each. Quotative division is measuring, where you know the group size and find how many groups. Most children are shown only one, so confusing the two becomes a hidden source of struggle.

How do I tell if my child understands math or is only memorizing?

Ask them to draw the idea, build it with objects, or explain it in their own words. If they are unable to represent it, that is the concept to work on, not another round of the same steps. Understanding is what makes math stick, while memorized steps with no meaning tend to fade by test day.

Could my child’s math struggle be dyscalculia?

It is possible, and it is worth paying attention to. A screener is a starting point, not a diagnosis. If your child might need formal accommodations such as an IEP or 504 plan, or you suspect a vision, hearing, or medical cause, a professional evaluation is the route to those supports. Either way, building understanding underneath the steps helps a child who finds math challenging.