# Pee In the Pool and Other Summer Problems – Problem Solving Resources

As part of my daily brush-up-on education news, I read over my Twitter feed to see what interesting articles or problems the many great educators and educational resource companies I follow might have shared. I laughed so hard when I saw the Tweet from @YummyMath asking how much pee was in the water, with a picture of a large pool and many people in it. Come on – let’s admit it, we have all asked that question at one time or another (especially if you are a parent!!)  It’s a great question. And now I am curious. Where to start? My thoughts are I’d probably need to do some research on the average amount of pee found in a pool and then go from there. The great thing here – Brian Marks from @YummyMath has done that work for me, and even has an engaging ‘lesson starter’ video to go along with the lesson (link to the lesson). So – this would be a really fun problem to start out with that first day of school – funny, lots to notice and wonder about, getting ideas from students on where to begin, what information they might need, etc.

In an early post this summer, Summer Vacation – Use Your Experiences to Create Engaging Lesson Ideas, I talked about how your own summer experiences could raise questions and interesting problem-solving experiences to bring back to the classroom. But – as the tweet from Brian Marks @yummyMath reminded me, there are other amazing educators and resources out there who are already thinking of these questions and even creating the lessons for you. No need to reinvent the wheel, as they say – if there are some interesting questions and resources already being posed and shared, then use them. Saves time, maybe provides some ideas you hadn’t thought of before, or maybe it takes something you did think of and provides some questions or links that you hadn’t found yourself. As educators, we need to really learn to collaborate and share our expertise so that we are not individuals trying to support just our students, but we are educators trying to work together to improve instructional practices and student achievement. Isn’t that what we try to stress within our own classrooms – i.e. working together, communicating, and sharing ideas because this leads to better understandings and new approaches? Same goes for our teaching practices and strategies.

Here are some fun problem-solving resources, with lots of different types of problems, but definitely some ‘summer-related’ things already started for you!

1. YummyMath – (check out the ‘costco-size’ beach towel activity….that’s funny!)
2. Mathalicious – (Check out the ‘License to Ill’ lesson – relevant to todays’ debate on Health Care & Insurance)
3. Tuva|Data Literacy (Check out their lessons and their technology for graphing and analyzing data, and their data sets – so much here!)
4. RealWorldMath
5. TheMathForum
6. Illuminations
7. Center of Math
8. MakeMathMore.com
9. MashUpMath

# Education Growth Mindset – So Important for Teachers and Students

I just came back from Kaiserslautern, Germany, where I was working with Department of Defense Education Activities (DoDEA) math teachers as part of the DoDEA/UT Dana Center College and Career Ready Standards Initiative. Our focus this summer, which kicks off the next year of continued support and training, was on helping teachers create a classroom culture of student discourse and a growth mindset that allows students to develop deeper mathematical understanding and become problem-solvers and confident mathematicians. It was a fabulous two days, and the teachers, some who had never explored this idea of ‘growth mindset’, really had some powerful conversations around this idea of providing students productive struggle opportunities and helping them develop this sense that they can solve problems, and they can improve mathematically, and they can learn. It was rather eye opening for many.  How many of us educators have come across those students who give up without even trying because they think they can’t do it? Or they have been so ingrained in the idea that they are ‘bad at math’, so they don’t even try? That’s what this idea is about.

Carol Dweck is a leader is this field of Growth Mindset, and how to motivate and help support this idea of a growth mindset. In fact, the teachers I worked with as part of our workshop, read an article by Dweck that provided some insight into what we as both teachers and parents, inadvertently sometimes do that prevents students/children from having a growth mindset. Something as simple as the way we praise can actually interfere with this growth mindset. More here.

Many of you may be unfamiliar with what a growth mindset is, so I found a great TedTalk from Carol Dweck that explains the idea behind it. As educators, this is something to really think about because we want to develop in our students the willingness to persevere and solve problems that may seem difficult.

# Summer Vacation – Use Your Experiences to Create Engaging Lesson Ideas

Sea Turtle at the Big Island, HI. How long do they live? How far do they travel??

I know most students and teachers this time of year are very familiar with Alice Cooper’s song “School’s Out for Summer”  (Seniors are probably focused on the line “school’s out forever….”  Maybe even some teachers!)  No doubt, summer is a time of rejuvenation for students and teachers – a much needed break, both mentally and physically. Note: Those of you who do not teach, and see teachers as having it ‘easy’ with the summers off, might try to spend some time in a teachers shoes before making those ridiculous assumptions, or read up a bit on what teachers actually do (they work more than 40 hours per week) and why summer breaks are so important.

Summer break is fast approaching for many, and some may have even started theirs. I remember those first couple of weeks literally not wanting to even look at anything related to school, students, or teaching. But – as most teachers will attest to, there comes a point where summer vacation weaves into professional learning or preparing for the next school year to begin. We never really turn off completely – we take classes to learn something new, or research some new technology or applications we want to try in class next year, or we revamp some lessons from the previous year. Summer vacation always ends up, at some time or other, connected back to teaching and learning – either personally for our own professional growth, or related to how we can be even better the next school year for our new group of students.

For me personally, everything I do always has me thinking of ways to create an interesting lesson for my students. It’s that pervasive idea that whenever possible, connecting the real world back to what students are learning will make the learning engaging and relevant. Just last week, sitting on the beach in Sea Isle City, NJ, watching this big machine out in the water that was dredging sand to replenish Avalon Beach, all I could think about were questions I would want my students to investigate.  Just a few of my questions, as I sat there:

• How much sand is being pulled up? Is it from the same spot (my observation, since the dredge is in a different location each day, is that no it is not)
• What happens to the sea animals and plant life that are ‘dredged’ up with the sand? Or, is there a filter that only allows sand in?
• What are the impacts on the sea life?
• How many hours a day do the dredges run? (seems like 24 hours to me!)
• How long does beach replenishment last? (if you don’t have any storms to wash it all back to sea) How long does it take to replenish a beach?
• How many pounds of sand is needed and where do they place the sand?

Lots of questions just from sitting and watching. What a great #STEM lesson this would be for students – there’s math, there’s science, there’s engineering and there’s definitely technology – it’s quite the endeavor. There is probably a ton of data out there and information about sand restoration projects, so you could have students researching, doing the math, checking out the science, investigating the machines used and the manpower needed. I did an initial search and found a couple articles already where I learned things like the grain size of the sand determines where the dredge pulls sand from (has to match the beach they are replenishing).  Pipelines are created to carry the sand from the dredge to the beach (so, how big are those pipelines? What happens after they ‘finish’ – do the pipes get removed?) Sometimes this is done to protect sea life, often times to protect commercial and residential properties, so this then begs the questions such as what’s the cost (money wise and to the environment), who benefits, what are the potential dangers and damage (to environment/sea life, etc). Here’s just a few articles I found.

My point here is not to give you a lesson on beach restoration. Instead, my point is that I was just sitting on the beach, enjoying my vacation, and saw the

Two clear streams in Costa Rica that when they meet, the chemicals in them react and turn the water blue. Why

machinery and started thinking. Posing questions. Realizing that there could be an amazing #STEM lesson here, which got me excited and doing research and yes – vacation or not – planning for teaching.  I think it is a natural tendency as a teacher to see a ‘lesson’ pretty much anywhere we go, which is what I want to emphasize here. Even on vacation, if you have a great idea based on something you are doing or seeing, some idea you think would be an engaging lesson, go with it. Take some pictures. Write down some ideas. Do some research. Use your own experiences and ‘time off’ to discover teaching ideas and spark your own enthusiasm for the next school year. Bring your vacation into your classroom and build relevant, real-world, multi-content lesson ideas that will spark student engagement, questioning, critical thinking and problem-solving.

Enjoy yourself and your summer, but never stop learning and looking for great ideas to bring back to your classroom.