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"very year, many of my students seem to have difficulty grasping the idea of perimeter and area. I've found that the best way to help students learn the difference between the two while figuring out how to properly calculate each is to have them engage in several different hands-on activities. This week I'll share with you how I introduce these important measurement concepts separately, then reinforce them with engaging cumulative activities that emphasize both area and perimeter."

"Today was a great day in our grade 4-5 STEM classroom. Last year I used MinecraftEDU with my students for several different lessons, and I tried a "perimeter and area building challenge," but this year I'm much more pleased with the quality of conversations I'm having with students about these geometric concepts in a simplified and modified version of that lesson I'm calling our "Geometry MinecraftEDU Challenge." These photos of whiteboard math from today's classes may look messy, but they represent some SUPER conversations with my students who were figuring out the different ways they could build a corral in MinecraftEDU that has an EXACT perimeter of 24 blocks."

Great LiveBinder collection of math problems for area and perimeter

"Helping children visualize math is critical to their success in the subject. I recently observed a 5th grade class starting a lesson on area and perimeter. I turned to a girl who was in my class four years earlier and reminded her that she knew the topic. "Yes I do!" she said excitedly. "The perimeter is where you sit along the outside of the rug in morning meeting, and area is the inside of the rug, where the squares are. That's from 1st grade," she said confidently, circling her fingers in the air to represent her thinking. Visual cues, like this one I use with my six- and seven-year-old students, stick and show that envisioning math helps children learn in lasting ways. We teachers can do more to give students internal ways to see the structure of mathematics-to understand types of units and what it means to move between them, and to pull apart and combine numbers. But math instruction is changing. At my school, in the early grades, we encourage children to use their fingers, something that feels so natural to them, to better understand numbers and the numbering system. We might talk about how a "high five" involves using a whole hand, which is really a unit made up of five fingers; while a thumbs-up involves just one segment of that five-part unit. We then go on to using things like beads on a string and, later, place-value disks, which are like poker chips, to help children see and work with numbers, units, and place value."

"Using Legos in the classroom is not a new concept at all. There are so many different classroom applications for the popular brightly colored bricks, and despite the myriad of uses, the go-to task for Legos is most often math. The handy little nubs sitting atop the bricks offer a chance to teach things like area and perimeter, the different colors lend themselves well to fractions. "

"For too many students, doing mathematics means just plugging numbers into a memorized formula to get an answer. And because they don't understand the formulas they're using, they often fail to use the right one. Take a look at Isaac's work below, for example. He is a fifth grade student who tried to find the surface area of a rectangular prism by incorrectly adapting a previously memorized formula for calculating perimeter. He calculated two times the length plus two times the width (2L + 2W) and tried to account for the height by multiplying it by 4, then adding it to the previous sum. Unfortunately, Isaac is not alone in this type of approach. Students who use formulas by rote may never come to see mathematics as sense-making and may never understand the formulas they use. And there are so many formulas to memorize! Teachers who prematurely introduce students to formulas risk denying them opportunities to develop the necessary conceptual foundations for mathematical understanding."

"I will be sharing about our Pinball Machine Mayhem that is happening in our Technology and Innovation class. We started with a brainstorming session on the process this week. We began with the Project Idea phase: This is where we explained that they would be making pinball machines. How they made them or what they used is completely up to them during this process. Next we moved into the Prototype Design students during this phase was given a blank piece of paper about the size of the actual pinball machines that they will make. The goal here was for them to start to apply the different pieces of their pinball machines to this document. What was incredible about this whole process was before we released the students to go work we asked them what subjects do they think will be covered throughout this process. Right away hands went up and students started sharing. Math - Area, Perimeter, Height, Length, Pythagorean Theorem to find the slope of their machine. ELA - Research, Creating a story for their pinball machine Social Studies - History of the pinball machine, Research on different pinball machines Science - Volume, Friction, Gravity, Art - Theme of their board, Creative look of their pinball machine. Tech Ed - Lights, sensors, buzzers Makerspace - Students talked about using little bits, robotic kits, makey makey board, along with legos and Knex's"

"Few middle schoolers are as clued in to their mathematical strengths and weakness as Moheeb Kaied. Now a seventh grader at Brooklyn's Middle School 442, he can easily rattle off his computational profile. "Let's see," he said one morning this spring. "I can find the area and perimeter of a polygon. I can solve mathematical and real-world problems using a coordinate plane. I still need to get better at dividing multiple-digit numbers, which means I should probably practice that more." Moheeb is part of a new program that is challenging the way teachers and students think about academic accomplishments, and his school is one of hundreds that have done away with traditional letter grades inside their classrooms. At M.S. 442, students are encouraged to focus instead on mastering a set of grade-level skills, like writing a scientific hypothesis or identifying themes in a story, moving to the next set of skills when they have demonstrated that they are ready. In these schools, there is no such thing as a C or a D for a lazily written term paper. There is no failing. The only goal is to learn the material, sooner or later."