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Numerical Reasoning

DecimalsGeneral InterestMultiplicationNumber and OperationsNumerical ReasoningReal-World ProblemsVideosWord Problems

When You Multiply by 10, Just Add a Zero? Horrors!?!

Have you ever asked students to solve 12.6 x 10, and they respond that the answer is 12.60? I have, many times. Students who do this apply a pattern that works when they multiply whole numbers by 10—they tack on a zero to the end of the number they’re multiplying. But then they apply the same pattern when working with decimals. What can we do?
Marilyn Burns
October 1, 2018
DivisionGeneral InterestNumber and OperationsNumerical ReasoningReal-World ProblemsSilent MathWord Problems

One Lesson, Two Pedagogical Mistakes

I believe strongly that mistakes are learning opportunities. At least that’s what I regularly tell students. But it sometimes feels different when the mistakes are mine . . . and especially when they are pedagogical mistakes that I make while teaching. That happened to me recently when teaching a lesson to fourth graders.
Marilyn Burns
January 1, 2018
DecimalsNumber and OperationsNumerical Reasoning

A Decimal Lesson . . . about 13/20 and More

I love Twitter. On November 3, 2017, I saw this image in a Tweet posted by @MarkChubb3. The image stuck with me for several days. After talking about it over dinner with a teacher friend, and then again over lunch with another, I became curious to find out what students might think. I made arrangements to “borrow” three fifth-grade classes and made plans to teach the same lesson in each class.
Marilyn Burns
December 19, 2017
GamesGeneral InterestMath MenusNumber and OperationsNumerical Reasoning

Oh No! 99!

The card game Oh No! 99! is a keeper! It gives practice with mentally adding one- and two-digit numbers and with adding and subtracting 10 from two-digit numbers. The game encourages strategic thinking as students decide which cards to play and which to keep, and it’s also useful as an informal assessment. Read about how the game was used with second and fifth graders.
Marilyn Burns
March 5, 2017
AssessmentBooks by MarilynDivisionGeneral InterestMath and LiteratureMultiplicationNumber and OperationsNumerical ReasoningProblem SolvingWord Problems

One Lesson, Three Grades, Three Twists

The children's book 17 Kings and 42 Elephants by Margaret Mahy is one of my long-time favorites. In this post I describe a division lesson that I’ve taught to third graders but recently revisited with fourth- and fifth-grade classes. With the older students, we tried extensions that differentiated the experience and put students in charge of deciding on problems for themselves. It was exciting to me to expand a lesson I've taught many times into a multi-day investigation.
Marilyn Burns
January 30, 2017
AssessmentDataGeneral InterestNumber and OperationsNumerical ReasoningReal-World Problems

Beans and Scoops

Lessons using beans and scoops have long been part of my teaching repertoire. I’ve used beans, scoops, and jars to engage students in all grade levels with a variety of mathematical ideas. In this post, I write about how I recently taught a lesson to give students experience with estimation, averages, multiplication, and more. Read about how I planned the lesson, how it unfolded, and suggestions for extensions and other lessons.
Marilyn Burns
November 1, 2016