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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!"

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).

"Since demolishing 78 traffic signals and installing 80 roundabouts, the northern Indiana city of Carmel has reduced the number of accidents by 40 percent and the number of accidents with injuries by 78 percent." There's a great lesson in here somewhere. I'm not sure of the exact structure for it, but here are some of my random thoughts. Let me know if you have others: Use Googlemaps and GoogleEarth in order to determine how many traffic lights are in a specific location in a county/city. Using the calculations in this article/video, how much could the county/city that you researched in Google maps have saved if they installed traffic circles rather than traffic lights. Extension - Research the number of accidents and injury/fatality stats for the area that you've researched. Using the calculations in this video/article, how many lives would traffic circles save in this area?

"How did Gladwell misconstrue it? Aside from not having copied the numbers from the actual paper correctly for his book? He says that there is a perfect correspondence between practice and the level of expertise a person attains. And you can't tell that from the paper. The 10,000 hours is an average of differences. You could have two people in any endeavor and one person took 0 hours and another took 20,000 hours, which is something like what happened with two high jumpers I discuss in the book. One guy put in 20,000 and one put in 0, so there's your average of 10,000 hours, but that tells you nothing about an individual. Now, Gladwell doesn't say there's no such thing as genetic talent. I think other writers are stricter than him. [Matthew Syed's] Bounce is a book that minimizes talent. Gladwell does say elite performers are more talented. One of the things that Ericsson criticizes Gladwell about is to say that 10,000 hours is some kind of rule. The paper just says that these performers by the age of 20, these performers have accumulated 10,000 hours but there's no where that says it's a magical number where that's when they become elite or anything like that. These people, by the time they go into their professional careers, have way more than that. That's just where they were when they're 20 as an average, not even to mention their individual differences."

"Mark talked about the idea of using Evidence-Based Arguments as a starting point. Every historical investigation needs to begin with a great question. Then they asked kids to do research and create videos. But what they got was disappointing. What they got was basically text with pictures, a script with a background. It wasn't a story, it wasn't engaging, and it often didn't really answer the question.  They begin to realize that they needed to learn more about how to create high-quality documentaries, how to use images and video to actually tell a story. And eventually they came up with a Four Step Process that students work through to create high-quality documentaries:" 4 Step Process for creating HST videos. I don't necessarily agree with the author's thought that tech should not be introduced until step #4, as tech can enhance 1-3 just as well. The teacher just needs to model good behavior and help students develop structures for the work in these phases for it to be successful.

"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.

"Confucius famously urged followers to heed the Golden Rule: do to others what you would have them do to you. However, he was also famous for another concept: jen. According to Confucius, a person of jen "brings the good things of others to completion and does not bring the bad things of others to completion." In other words, jen represents our ability to make the world a better place…but also a worse one. In this lesson we'll explore the concept of the jen ratio - the ratio of positive to negative observations in our daily lives - and discuss how it influences the way we experience the world. From violent video games to inspiring hip-hop lyrics, how does the Confucian concept of jen shape our lives?" This seems like a very engaging introduction to ratios. This is a paid resource, but the media for this lesson is free and available to all.

"As brilliant reader John D. asked, how many miles does Mario have to travel before he finally gets to Princess Peach?" This could be a great lesson starter for ratio, proportion, and estimation. Show your students one of the levels, ask them to predict, and then have the students create a process in order to answer the question. Reveal the article after students have made their calculations.

"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

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.

Wow. Just wow. A lot of potential application here for a variety of topics. - My World History teachers are about to do a Socratic seminar on Rome. The topic is "Haves vs. Have Nots." This map fits perfectly into this discussion. - Use as a tool to discuss reasons for immigration/emigration - Locate the most/least poor areas of the US? Why do you believe this is the case? -Does geography impact poverty? How/Why? - Compare this map to other poverty maps from the past, specifically during the period of industrialization. Discuss how/why things have changed.

"Like his teammate Ray Rice, the Ravens linebacker was accused of beating up his wife. But in his case, there was no video." This really makes me think about how we could use this article, plus a variety of other documents, to discuss how various forms of media affect public/individual perception, feelings, emotions, decisions, etc. This is obviously a serious topic, and shouldn't be treated lightly, but feel like it could lead into some particularly deep discussion in a high school AP class, like AP language.

"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.

Using this article and the tools listed (http://mentalfloss.com/article/56120/how-far-does-mario-have-run-and-swim-super-mario-bros) as the basis for the lesson: How far does Mario travel in this speedrun? Calculate the proportion of the game that this speedrun completes and leaves incomplete. Based on the time it takes for this speedrun, what's the fastest that you could beat Mario if you completed EVERY level.

"Google Books: Google Books can be a good research tool for students if they are aware of it and know how to use it. In the video below I provide a short overview of how to use Google Books for research. You can also find screenshots of the process here. "

"He cites Socrates's parable of the Egyptian god Theuth and how he invented writing, offering it as a gift to the king of Egypt, Thamus, who met the present with defiant indignation: This discovery of yours will create forgetfulness in the learners' souls, because they will not use their memories; they will trust to the external written characters and not remember of themselves. The specific which you have discovered is an aid not to memory, but to reminiscence, and you give your disciples not truth, but only the semblance of truth; they will be hearers of many things and will have learned nothing; they will appear to be omniscient and will generally know nothing; they will be tiresome company, having the show of wisdom without the reality."

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

"When you get the flu, viruses turn your cells into tiny factories that help spread the disease. In this animation, NPR's Robert Krulwich and medical animator David Bolinsky explain how a flu virus can trick a single cell into making a million more viruses." Interesting video/animation on how we get the flu. Could be an interesting resource in a unit or lesson on viruses.

"There is a new digital divide on the horizon. It is not based around who has devices and who does not, but instead the new digital divide will be based around students who know how to effectively find and curate information and those who do not."

"So, what's a leader and the school to do? How do we create "checks" to serve as guideposts toward success?  One potential way may be a novel idea in education.  Use teachers and educators that have experienced success in building instructional capacity to be "scouts" for other teachers and schools that are building capacity in a meaningful way.  What I mean by 'scouts' is that these individuals would be charged with working next to teachers and school leaders to develop and refine instructional capacity, but when "it" shows itself in the form of meaningful and intentional classroom instruction or PLCs that really improve student performance, the 'scouts' chronicle this story.  The 'scouts' dual responsibility is to not only share in the building of the capacity, but to also spread the good news when it's been accomplished. In doing so, the profession of teaching and learning, can begin to articulate and share in these guideposts toward meaningful capacity.  What's missing in this dynamic are the 'scouts' that are embedded in several classrooms, schools and districts simultaneously and use this experience to improve the work simultaneously.  What's crucial about this approach is that it isn't 'helicoptered in' and is never something done 'to' teachers.  The work of the 'scout' is to find, develop, and refine great teaching and learning and use this as a way to scale up the work so that more and more students can have access to highly effective teaching and learning. " This article, specifically this annotated section, really spoke to me and made me think about what the two main initiatives of our department - Henrico 21 and Reflective Friends, should look like. It shouldn't be something that is "helicoptered in" or "done to teachers," but instead should be about developing, refining, promoting, and sharing good teaching.