Group items tagged

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).

"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.

"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…

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.

"InterTwinkles is a platform built from the ground up to help small democratic groups to do process online. It provides structure to improve the efficiency of specific communication tasks like brainstorming and proposals. "

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

"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

""That's why the goal of school has to be automaticity," my dad concluded. The Sunday morning roads were empty, and we'd nearly made it home. "Take learning your times tables. You've got to know them cold so that you can go on to finding common denominators, or reasoning about algebraic functions, or whatever. You need each task to become automatic before you can move onto the next intellectual step."" Humorous, yet enlightening take on math class, which can be applied to school in general. What is more important for us to teach students so that it becomes more automatic? Should we make facts automatic? Or should we instead focus on skills and thought processes that can be quickly applied to many scenarios in a variety of contexts?

"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.