“This isn’t math!” Engaging Math Problem Solving

Teaching with open ended problem solving engages students! These real world math problems are perfect for whole class challenges, math centers, accountable talk, math enrichment, math discourse and more!
That quote came out of “math”  last Friday as I presented my students with a chance to practice some of the decimal skills we have been refining.  Decimals are tricky little buggers for lots of kids…hard to “grasp” the idea that there are numbers between those simple counting numbers they have used their entire lives!
One way that students do tend to begin making sense (cents?) of decimals is by tying our studies directly to money. Don’t get me wrong–using money (one dollar is a “whole”, etc) cannot be the only way to deliver these concepts, but it is more concrete than some and works well with base 10 blocks and other modeling. So…to practice adding and subtracting money I gave my students an open-ended “party problem” where they were given a budget, a list of supplies/costs, a few “rules” and sent them off on their merry way to plan a party with $50 worth of imaginary money and a million dollars of ideas.  Some students worked in pairs, others alone, some simply “consulted” with a nearby classmate–but for 45 minutes, everyone added.  Subtracted.  Rechecked.  Planned.  Organized.  Complained.  Celebrated.  Questions were everywhere…
“Do we have to spend exactly $50?”
“Do people HAVE to use cups?”
“What if not everyone who is invited shows up?”
“What if the guests don’t like pizza?”
And the list goes on and on.  By the time the class period was done, parties were planned.  Math was checked and rechecked.  Kids were smiling and the comments had changed to (and I am NOT making this up!)
“Why can’t math be like this every day?”
“This was epic.  I wish we could do the party for real.”
and…my personal favorite…
“This isn’t math.”
Seriously folks…our little petunias do not always “get” what math IS!  They think it’s something you do in a notebook or do in a workbook or do on a test.  We have to work to build students’ understanding about what math IS–and what math is NOT.  I am going to keep working to design more tasks that help students develop this understanding.  If you want to see how I did the party problem, I do have a set of open-ended math problems in my store…but you can see how easy this task would be to replicate in your classroom.  Below is the link to the product if you want to see it–and a few photos of my party planners in action!

Teaching with open ended problem solving engages students! These real world math problems are perfect for whole class challenges, math centers, accountable talk, math enrichment, math discourse and more!

Teaching with open ended problem solving engages students! These real world math problems are perfect for whole class challenges, math centers, accountable talk, math enrichment, math discourse and more!

I just love listening to the collaboration and math discourse as students work together…having problems with MANY solutions really gets to that deeper thinking that happens when they are really applying the math we have taught them!  This problem is one of my open-ended challenges–there are currently 4 sets of these if you are interested!

Interested in a different post with more information about open ended challenges?  Just CLICK HERE TO READ IT.

Remember, the more “real” we can make the math–the more engaged they will be. Write problems with your students’ names…or events in your community…or school happenings. I’ve tried to create problems that our students might encounter in THEIR real world…and they love them! Here’s the latest 3 sets…

and discounted bundles of sets 1-3 and 4-6
Teaching with open ended problem solving engages students! These real world math problems are perfect for whole class challenges, math centers, accountable talk, math enrichment, math discourse and more!  
…and now there is a megabundle of all 18 challenges!
Rather pin this post for later? Here you go!
Teaching with open ended problem solving engages students! These real world math problems are perfect for whole class challenges, math centers, accountable talk, math enrichment, math discourse and more!

Meg