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This is the Newest webtool developed by Dan Meyer and Dave Major. Dan Meyer discusses the tool and task in a post on his blog here - http://blog.mrmeyer.com/?p=17503 I think this tool would be very engaging for students. Give them the task of finding the quickest route, and they will go nuts with it. I see two main applications for this particular tool/task: You could use this tool as an introduction to angles. Put it on the board, give the kids the task, and have them discuss how they would tell the ship captain to navigate around the buoys. When non-mathematical language and vocabulary bogs down the ship's progress, overlay a grid/protractor and introduce the idea of angles. Have the kids play around with the tool to come up with the quickest route. Discuss the result of small differences in angle measurement on the ship's progress (each degree above the necessary increases the amount of time lost). This could lead into a discussion on the importance of precision… This would be an easy task to make over if you wanted to talk about slope and writing equations of lines (Algebra I). You could overlay a grid on the board, The kids could draw the lines in to get the ships around the buoys, write the equations, then you could talk about how cumbersome the equations are and how ships are actually piloted and bring in the idea of degrees/vectors (direction and angle). Not only does this tool help to teach angles/vectors, but it's also a tool to get students estimating (angles AND distance).

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.)"

There are very interesting things here. h/t Dan Meyer

There are very interesting things here. h/t Dan Meyer

"David Cox sent his students through Function Carnival where they tried to graph the motion of different carnival rides. (Try it!) Every student's initial graph was wrong. No one got it exactly right the first time. But Function Carnival doesn't display a percent score or hint tokens or some kind of Bayesian probability they'll get the next graph right. It just shows students what their graph means for that ride. Then it lets them revise."

h/t Dan Meyer via Twitter

"There's a contest called Math-O-Vision, which your students should enter. Here's the premise: The Neukom Institute for Computational Science, at Dartmouth College, is offering prizes for high school students who create 4-minute movies that show the world of equations we live in. In 240 seconds, using animation, story-telling, humor, or anything you can think of, show us what you see: the patterns, the abstractions, the patterns within the abstractions." Two interesting things going on in this short blog post: 1. It introduces a contest which might be interesting for some of your students. I looked at the winning video from last year (linked in the post) and know that our students are capable of making something of similar quality. 2. The articles provides an interesting insight on math as a "product." This is quite an interesting discussion when thinking about how/why to assign this type of activity to your students.

"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.

"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

"Set up a surprise, such that resolution of that becomes the lesson that you intended. Anything that makes students ask the question that you plan to answer in the lesson is good, because answering questions that haven't been asked is inherently uninteresting." This article discusses how to create lessons that provoke student interest and prime them for your lesson. We all know that it is important to have a good introduction or a "hook" for a lesson, but this concept goes one step further. A hook that provides too much information leads to waning engagement. The goal is not just to get the student interested, but to make them curious and ask questions that we plan to answer on that day. Although this particular blog post and the examples within are math related, this technique can be implented in any content area.

"This resonates strongly. I shared a lesson with fellow teachers, and realized I had no good way to communicate what actually made the lesson powerful, and how charging in with the usual assumptions of being the explainer in chief could totally ruin it." Couldn't say it any better than this...Personally, this is one of the reasons I've tried to get video of classroom action and student reflections over the past several years for H21. We can write all we want about what makes a lesson powerful, but it's much more obvious and useful when we see it/hear it ourselves.

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.

"Function Carnival changes that. Students watch a video. They try to graph what they see. Then they play back the video and see how their graphical model would be represented as an animation. Does what they meant to graph about the world actually match the world?" This is an explanation of a new online math tool called "Function Carnival." The link to the tool is in the opening paragraph. Further explanation of the tool can be found here: http://blog.mrmeyer.com/?p=18420

"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.

"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.