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There are a lot of great problems here that could be used in math class. Starting class with one of these problems could be a great way to hook students into the lesson and have the students start generating their own questions and problem solving methods. Then, the math can be brought in appropriately. A lot of these problems seem to lend themselves to the "3 Act Task" model. A video/image representing the problem could go a long way in getting kids hooked.

"Too often kids have trouble with word problems. Too often they don't know what to do with two numbers let alone a bunch of numbers. They guess at division when one number is big and one is small. They add when they see two fractions. They multiply because that was how they solved the last word problem. I will also do this with my 8th graders because I suspect they will have trouble too. And this is exactly the kind of trouble we need to get into. Now rather than later. This task gets them thinking about ratios - which is like the most important math thing in all of the math things." This is a short description of how to get your students developing questions for mathematical scenarios. This would be a great activity to work on if you feel like your students are having difficulty deciphering word problems or are stumped when presented with unfamiliar mathematical scenarios.

Short list of questions for teachers to use while problem solving

I saw this Dan Meyer TED Talk on re imagining Math through problem solving. I like how he takes a problem from the textbook and makes it more rigorous. "Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. In his talk, Dan Meyer shows classroom-tested math exercises that prompt students to stop and think. (Filmed at TEDxNYED.)"

"Add "Would You Rather?" to your bookmarks. Phrasing math problems in terms of "Would You Rather" is simple and brilliant. I love this framework for three reasons:" Interesting framework for solving math problems. This post links to a resource of "Would you rather" problems that could be useful in a variety of different math courses.

"The following Problem Based Learning (PrBL) curriculum maps are based on the Math Common Core State Standards and the associated scope and sequences. The problems and tasks have been scoured from thoughtful math bloggers who have advanced our practice by posting their materials online." This is an incredible accumulation of lessons, tasks, and assessments that address the mathematical standards for the common core. Although it might take some time to align our specific SOL strands and content with the appropriate common core tags, these curriculum maps are still worth scouring and using, as there is a TON of good stuff here. This also might be a decent bookmark in case Virgina ever goes to the Common Core…

Real world math problems. You have to become a member to see solutions, but good problems and scenarios.

"And yet no one I'm aware of has pointed out one of the more glaring (literally) problems with Jackson's Tolkien films, a problem that has become more evident to me with each installment. It's the choice of his own native land, New Zealand, as the backdrop for these British stories. The island nation of swooping hills and glistening peaks isn't merely an unfortunate choice-it's one of the worst options I can imagine." You could do some really interesting textual analysis stuff like this with comparing book characters and settings with their on screen counterparts. What holds up to the original? What has changed? How does that affect the reader/viewer or change the message of the story? There's plenty of options that students would get into - The Hunger Game Series, The Hobbit, you could even do comic book characters and their on screen counterparts.

How can a game help students develop mathematical habits of mind? "Then we talked about the game for a bit, and discussed the "habits of mind" they had employed to figure out the game - noticing and wondering, guessing and checking, persevering, struggling productively, learning from mistakes without worrying about making mistakes (since they knew the only way they were going to make progress was to make mistakes and learn from them), and working together. We talked about how these skills are as important as any content they learn in their school classes, and how they can use those skills to make progress on math problems they're not sure how to solve. In fact, much of the math programming we did the rest of the year employed huge doses of Noticing and Wondering and generating ideas about math situations, or scenarios (a math problem with no stated question). Anecdotal reports suggest that by the end of the year, most of the students felt pretty confident that they could generate ideas about most math situations we handed them. Big win!"

I've never been a huge baseball fan, but I do like data. This interactive display shows the total expenditure of every Major League Baseball team (from 1998 out until a few years in the future). Clicking on a team in the top chart will break that expenditure down per player and show what each player makes per year. Just looking at this chart for a few minutes, I've come up with the following questions that could be used in a math class for a problem solving lesson. Some of these questions would also require the students to locate some additional data as well. * Is there a correlation between team expenditure and winning the Championship/making the playoffs/number of wins in a season? * What percent of a team's total expenses do "star players" take up? * Are star player's "worth it" for a baseball team? * How have team expenses changed over the past 15 years? * Are baseball players being paid more today than in the past or are their salaries just keeping up with inflation? * How much do today's baseball stars make in comparison to the stars of the late 90's and early 00's? Is this difference warranted? I'm sure there are plenty of better questions here that I'm missing.

"To solve engineering problems, you use your brain. Solving classroom problems uses your whole being." Nice article to share with teachers when everyone needs a bit of a boost. May share once we return from break.

"The big problem is not that they think too highly of themselves. Their bigger challenge is conflict negotiation, and they often are unable to think for themselves. The overinvolvement of helicopter parents prevents children from learning how to grapple with disappointments on their own. If parents are navigating every minor situation for their kids, kids never learn to deal with conflict on their own. Helicopter parenting has caused these kids to crash land." Although I'm not a parent, I am a teacher. And this article (especially this annotation speaks to me). Teachers shouldn't have to be the primary individuals that teach children how to think for themselves, grapple with disappointments, and deal with conflict - that should be the parents. But if we build our curriculum and class activities correctly, we can help to teach these characteristics.

"When I get a taxi for the 15-minute ride from my office to the airport, I have two choices. I can hail a cab on the street, and pay a metered fare for the 4.6-mile trip. Or I can walk to the local Marriott and pay a fixed fee of $31.50. Truthfully, I'm always a lot happier paying the fixed fee. I'm happier even though it probably costs more in the end. (A congestion-free trip on the meter comes out to about $26.) Sitting in a cab watching the meter tick up wrenches my gut: Every eighth of a mile, there goes another 45 cents-tick ... tick ... tick." ...this provides interesting context for a math problem using linear equations. When is it worth it to pay the fixed fare vs. paying the per 1/8th of a mile rate? You could "3-Act" this scenario pretty easily: -Take a short video of a taxi fare display clicking upwards. Ask students to give you the first questions that come to mind. When the students ask for it, provide them with a photo of the rate schedule on the side of the taxi and your destination address.

"A puzzle by Sam Loyd. The red strips are twice as long as the yellow strips. The eight can be assembled to form two squares of different sizes. How can they be rearranged (in the plane) to form three squares of equal size?" Interesting brainteaser or problem that could act as a warmup. You could make these strips into manipulatives in Inspire or give the students physical strips to help with the visualization process. I'm sure there's math here, I just don't know what it is...

"You've seen the tasks. You've read the research. You're basically bought in. But how do you begin? More importantly, how do you introduce students to inquiry driven learning?" h/t Dan Meyer

"The root cause of the American Civil War is perhaps the most controversial topic in American history. Even before the war was over, scholars in the North and South began to analyze and interpret the reasons behind the bloodshed." Another interesting problem that Voyant (and other data viz/textual analysis tools) could help us solve. Provide students with a little background and then give them the Articles of Secession for a variety of states. Have them analyze/interpret the overall reasons for Secession based on what they uncover.

Lesson objective: In this lesson, students use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. Pretty much all the steps to this lesson are on the website, which also includes a download link with all the materials that you will need. Something to think about if you plan on completing this lesson: When you first pose the problem to the students - Have the students discuss how they could represent the location of the different vertices for the Bermuda triangle. Give the students time to research/explore and find the latitude/longitude on their own rather than giving it to them directly. There are plenty of tools out there that can help the students complete this task, the most common being Google Earth and Google Maps

Variety of Three Act lessons Timon Piccin.

"This theory says, "For math to be engaging, it needs to be real. The fake stuff isn't engaging. The real stuff is." This theory argues that the engagingness of the task is directly related to its realness. This is a limited, incomplete theory of engagement. There are loads of "real" tasks that students find boring. (You can find them in your textbook under the heading "Applications.") There are loads of "fake" tasks that students enjoy." I agree completely that there are plenty of REAL tasks that aren't engaging, but in my personal experience as a math student and as a teacher that occasionally creates math lessons, I find the most engaging problems are those that have a real application to my personal interests and life. Personally, I believe that if teachers present "real" tasks to the students that they are passionate about and have fun teaching, that rubs off on the students.

A friend shared this with me and it's a good read. It also summarizes the way that many of our teachers think, and could be an interesting article to share with a teacher and have a discussion about. Ultimate, I have a huge problem with the assumptions and conclusions that are being made here: "Now I'm not calling for abuse; I'd be the first to complain if a teacher called my kids names. But the latest evidence backs up my modest proposal. Studies have now shown, among other things, the benefits of moderate childhood stress; how praise kills kids' self-esteem; and why grit is a better predictor of success than SAT scores. All of which flies in the face of the kinder, gentler philosophy that has dominated American education over the past few decades. The conventional wisdom holds that teachers are supposed to tease knowledge out of students, rather than pound it into their heads. Projects and collaborative learning are applauded; traditional methods like lecturing and memorization-derided as "drill and kill"-are frowned upon, dismissed as a surefire way to suck young minds dry of creativity and motivation. But the conventional wisdom is wrong. And the following eight principles-a manifesto if you will, a battle cry inspired by my old teacher and buttressed by new research-explain why." Why are these seen as two completely different and opposing philosophies of education? That's my question. From my experience, teasing knowledge and understanding out of children stresses the hell out of them. They struggle to give you an answer initially, but when when you are unwilling to spoon feed them or provide them with a "drill and kill" answer, they finally make a connection. In doing so you show the students that their grit and determination has helped them gather a better understanding of the material and become a better student and learner in process.

I may write a decent response to this. She plays just about every false argument card in the book. It needs this treatment - http://www.al.com/opinion/index.ssf/2013/10/huntsville_teacher_common_core.html

This take down of Gladwell's dyslexia chapter http://languagelog.ldc.upenn.edu/nll/?p=8123 makes for a similar parallel.