Why Word Problems?

Wow! My Word Problems from Literature Kickstarter is just barreling along. I love seeing how many people are interested in a playful approach to teaching math.

Check It Out

But you might wonder: Why do I care so much about word problems?

In many textbooks, word problems are an afterthought tacked on to the end of a math lesson.

For me, it’s just the opposite. Word problems are the key part of a lesson, because that’s where children come face-to-face with the meanings of math concepts.

The Key to Learning Math

If we want our children to learn real math, we need to offer them plenty of problems to solve. A child may work through several pages of number calculations by rote, following memorized steps, but a good problem demands more thought.

A story problem puts flesh on the abstract bones of arithmetic. Word problems encourage children to ponder what it means for one thing to be bigger than another, or smaller, or faster, or slower, or made up of several parts.

Word Problems from Literature will feed your child’s mathematical imagination with story problems inspired by classic books, from 2nd-grade stories based on Mr. Popper’s Penguins to prealgebra stumpers inspired by The Lord of the Rings.

And when you finish my puzzles, I’ll show you how to create your own word problems from literature, using your children’s favorite story worlds.

The Trouble with Word Problems

Most young children solve math problems by the flash-of-insight method: They hear the problem, and they know by instinct how to solve it.

This is fine for simple problems like “Four kittens played with a yarn ball. Two more kittens came to join the fun. Then how many kittens were playing with the yarn ball?”

When problems grow more difficult, however, that flash of insight becomes less reliable, so we find our children fidgeting with their paper or staring out the window. They complain, “I don’t know what to do. It’s too hard.”

Too often, the frustrated child concludes, “I’m just not good at math.”

But the truth is that nobody is good at math, if you define “good at math” to mean they can see the answer instantly. Here’s a more useful definition: You’re good at math if you have problem-solving tools and know how to use them.

And that is something everyone can learn.

Word Problems from Literature and the Word Problems Student Workbook will show you how. Order your copies today!

Visit the Kickstarter

 
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This blog is reader-supported.

If you’d like to help fund the blog on an on-going basis, then please head to my Patreon page.

If you liked this post, and want to show your one-time appreciation, the place to do that is PayPal: paypal.me/DeniseGaskinsMath. If you go that route, please include your email address in the notes section, so I can say thank you.

Which I am going to say right now. Thank you!

“Why Word Problems?” copyright © 2022 by Denise Gaskins. Photos copyright © TarasMalyarevich, ArturVerkhovetskiy, Wavebreakmedia / Depositphotos.

Sample My New Playful Word Problems Book

I’m so excited to announce that on August 9th, I’m launching my newest playful math book, Word Problems from Literature (2nd Edition).

And the prelaunch page is now live! You can sign up to get an email from Kickstarter as soon as the campaign launches.

Visit the Prelaunch Page
(free Kickstarter account required)

This is one of my all-time favorite books, and I’ve had so much fun with this new edition — adding stories, writing make-your-own-problem prompts, sneaking a few teaching tips into the worked-out solutions, creating an almost-magical guide to helping kids reason their way through math problems.

I’ve put together a free 14-page printable (pdf) “Word Problems Sampler” to give you a taste of things to come, including three ready-to-use student workbook pages.

Check it out:

Download the Sample Pages

Help Your Kids Learn Math the Creative Way

  • Are you a parent trying to help your child learn math?
  • Or a teacher looking for creative ideas for your classroom?
  • Or a homeschooling parent hoping to enrich your student’s understanding?

Then you’ll love Word Problems from Literature and the Word Problems Student Workbook because they prepare your children for school success, providing the tools they need to solve tough math problems.

Feed your child’s mathematical imagination with puzzles inspired by classic books, from 2nd-grade stories based on Mr. Popper’s Penguins to prealgebra stumpers inspired by The Lord of the Rings.

Hit the button to visit the prelaunch page and sign up for notifications:

Get Notified

6th Grade Minimalist Math Curriculum

For details on using a Minimalist Math Curriculum, see my earlier post How To Make Time for Exploration.

If you’re teaching or homeschooling students in 6th grade, here’s the new minimalist curriculum link:

As I mentioned in my earlier post, a minimalist curriculum can be a great way to free up time for playing math games and exploring enrichment activities (like these).

How To Make Time for Exploration

Perhaps the most common objection I hear to using math games and enrichment activities is, “I don’t have the time. I can’t even get through our regular math book!”

Well, here’s one possible solution: Use a “Minimalist Math” outline to guide your instruction, turning your regular textbook into a backup resource, teaching only the topics your children don’t already know, leaving more time free for exploration and playful discovery.

Minimalist Math: Getting Down to Basics

Michelle at ResearchParent.com condensed the elementary math curriculum down to 360 problems per year, just 10 per week.

Take just a few puzzles each day, and talk math with your kids:

  • What do they notice in the problem?
  • Does it remind them of anything?
  • How might they try to figure it out?
  • Does it make them wonder about numbers, shapes, or patterns?

Use colorful markers on a whiteboard for low-stress exploration. If your children can solve a problem and explain their reasoning, you don’t need to study that topic. When they get stuck, follow the Notice-Wonder-Create method described in this blog post series.

If you’re both stymied, that’s when you pull out your regular textbook (or look the topic up online).

Practice with Games

Of course, children still need plenty of practice to master the math facts and solidify their knowledge.

Since you’re not spending as much time on lessons and homework, you can plan on playing lots of math games. Games are a fun, low-stress way to firm up math skills.

Check out My Best (Free) Math Games for All Ages, and follow the Math Game Monday posts on my blog.

Read Library Books

To enrich your child’s mind with the great ideas of mathematics and whet their appetite for learning, nothing beats a “living” math book.

A living book is one that brings our minds into direct contact with the great ideas of life.

Check out my Math with Living Books lists to get started, and ask your librarian for more suggestions.

For Older Students

Michelle’s Minimalist Math Curriculum goes through 6th grade (so far). But you could use the Corbettmaths 5-a-Day problems in the same way for older students.

And for enrichment activities to fill up your free math time, I can’t think of a better resource for all ages than the NrichMaths website.

“When I first started homeschooling, math became the most overwhelming, unpleasant part of our day. As someone who loves math, I didn’t want to continue on a path that was leading to such bad attitudes.

“My Minimalist Math Curriculum covers the same breadth of topics as a traditional curriculum without all the repetition. You are welcome to use what I created in whatever way serves your family.”

Michelle, Research Parent
Mathematics Activities for Kids

 
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This blog is reader-supported.

If you’d like to help fund the blog on an on-going basis, then please join me on Patreon for mathy inspiration, tips, and an ever-growing archive of printable activities.

If you liked this post, and want to show your one-time appreciation, the place to do that is PayPal: paypal.me/DeniseGaskinsMath. If you go that route, please include your email address in the notes section, so I can say thank you.

Which I am going to say right now. Thank you!

“How To Make Time for Exploration” copyright © 2022 by Denise Gaskins. Image at the top of the post copyright © Aron Visuals, Andrew Ebrahim, and Melissa Askew via Unsplash.com.

New to Playful Math? Start Here

Do you want your children to enjoy learning math? Teach them how to play!

After the troubles of recent years, it’s even more important for families to play together. So I’ve made the ebook version of Let’s Play Math Sampler: 10 Family-Favorite Games for Learning Math Through Play permanently free.

What a great way to introduce your child to the joy of learning!

With excerpts taken from my most popular books, the Let’s Play Math Sampler features ten kid-tested games covering math concepts from counting to prealgebra.

Pick up a copy today, and make math a playful family adventure.

Download Your FREE Copy

Or Shop Your Favorite Online Store
… or request a copy from your library or local bookshop.

“Math is so many things — beauty, structure, problem solving, communication, language, creativity — but here’s what I’ve learned as I’ve tried to help my children develop positive relationships with math: It All Begins With Play. Anything by Denise Gaskins is a fantastic place to start. These books are filled with the perfect combination of perspective and practicality.”

—Michele Johnson, Instagram post

 
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This blog is reader-supported.

If you’d like to help fund the blog on an on-going basis, then please join me on Patreon for mathy inspiration, tips, and an ever-growing archive of printable activities.

If you liked this post, and want to show your one-time appreciation, the place to do that is PayPal: paypal.me/DeniseGaskinsMath. If you go that route, please include your email address in the notes section, so I can say thank you.

Which I am going to say right now. Thank you!

“New to Playful Math? Start Here” copyright © 2022 by Denise Gaskins.

Don’t Miss Playful Math Carnivals #155 and #156!

Here is SOOOOO MUCH GREAT MATH!

Each monthly carnival brings you a new collection of ideas for playing math from preschool to high school. It’s like a free online magazine of mathematical adventures, helpful and inspiring no matter when you read them.

Explore with your kids or on your own:

John Golden put together an awesome carnival, featuring puzzles, games, slow-reveal graphs, geometry, algebra, math art, puzzles, videos, mobius strips with zippers, and lots more fun. Wow!

Johanna Buijs found a delightful assortment of math tidbits from around the world, inspirational quotations, games, activities, videos, books to check out, and all sorts of mathy fun. Love it!

Help Us Keep the Carnival Going

The Playful Math Blog Carnival wants you!

The carnival is a joint effort. We depend on our volunteer hosts to collect blog posts and write the carnival each month.

Putting together a blog carnival can be a lot of work, but it’s a great opportunity to share the work of bloggers you admire and to discover new math-friends online. I love that part of being a host!

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up!

CREDITS: Feature photo (top) by Vitolda Klein on Unsplash.com.

Math War for Simultaneous Equations

Just updated my blog post Math Game: War with Special Decks to add a game I missed the first time around:

Math War is the most worksheety of all the math games I play with kids. But you can add a level of choice by playing the Trumps version.

Math War Trumps: Instead of playing for the highest sum, as in Julie’s original game, have each player draw 3 cards. The player whose turn it is first names “X” or “Y” as trump, then all players lay down a card. Highest trump value wins the skirmish.

Variation: Let the player naming trump also decide whether the highest or lowest value will win.

For more great math games, visit My Best (Free) Math Games for All Ages.

 
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This blog is reader-supported.

If you’d like to help fund the blog on an on-going basis, then please join me on Patreon for mathy inspiration, tips, and an ever-growing archive of printable activities.

If you liked this post, and want to show your one-time appreciation, the place to do that is PayPal: paypal.me/DeniseGaskinsMath. If you go that route, please include your email address in the notes section, so I can say thank you.

Which I am going to say right now. Thank you!

“Math War for Simultaneous Equations” copyright © 2022 by Denise Gaskins. “Red playing cards” photo by José Pablo Iglesias via Unsplash.com.

Playful Math Carnival #154: The Math Journaling Edition

Welcome to the 154th edition of the Playful Math Education Blog Carnival — a smorgasbord of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

Bookmark this post, so you can take your time browsing.

There’s so much playful math to enjoy!

By tradition, we start the carnival with a puzzle/activity in honor of our 154th edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

Try This Puzzle/Activity

Since 154 is a nonagonal number, I think you might enjoy visiting some of my old “Adventures of Alexandria Jones” posts about figurate numbers:

And then try this math journaling prompt: Build or draw your own nonagonal numbers — numbers built from 9-sided polygons.

How many nonagonal numbers can you find? What do you notice? Does it make you wonder?

Click here for all the mathy goodness!

How To Respond to Your Child’s Math Writing

In previous posts, I encouraged parents, homeschoolers, and teachers to explore the world of math and introduced one of my favorite learning tools, the math journal. Then I shared several of my favorite types of journaling prompts to get your kids started writing about math.

Math journal prompts offer a wide range of options for students to explore. Most of the prompts do not have a “right” or “wrong” answer. Our goal is to root around in some small corner of the world of math, to lift a stone and peek underneath it, just to see what we can find.

The idea that being good at math means finding the right answers is a huge myth. Of course, many problems in math do have a single right answer. But even for those problems, the answer is not the real math of the problem.

Math is all about thinking.

It’s like taking a road trip. You may have a destination, but there are many paths you could take to get there. Different students may take different paths — they may think about the problem in different ways.

It’s this reasoning that is the real math, and the right answer is just a side effect of reasoning well.

Continue reading How To Respond to Your Child’s Math Writing

5 Ways To Enrich Your Student’s Experience of Math

In previous posts, I encouraged parents, homeschoolers, and teachers to explore the world of math and introduced one of my favorite learning tools, the math journal.

But you may be wondering, what can my students do with their journal? How do I find good math prompts?

Here are five different ways your children can explore math through writing, classified by the type of reasoning involved.

#1: Game Prompts

Ask your children to play a number or strategy game and then write about it.

Game prompts break through the idea that math is dull and boring. They help students develop a positive attitude toward math while practicing their number skills or strategic thinking.

Continue reading 5 Ways To Enrich Your Student’s Experience of Math