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"As a high school math teacher, it was important for me to create a learning space that welcomed on-demand wonder and exploration. I knew that I planned to have a few essential hands-on math tools, and in the last few years, I also knew that I needed to have other items that were essential for providing kids more creative freedom. With a few containers, manipulatives, and supplies, along with some technology, I created a space that my students would go on to name "the wonder shelves." What you are about to read was not an overnight process, but one that grew over an eight-year span."

Some measurement and math games

Drag, manipulate and animate visual mathematics to develop and generalize your understanding of fundamental concepts across elementary math, geometry, algebra, trigonometry, calculus, and beyond. Based on the award-winning software The Geometer's Sketchpad®, the Sketchpad Explorer app allows you to interact with, and investigate, any document created in Sketchpad. With a simple, powerful multitouch interface, Sketchpad Explorer puts mathematical comprehension at your fingertips.

Restrictions for Using NOAA Images Most NOAA photos and slides are in the public domain and CANNOT be copyrighted. Although at present, no fee is charged for using the photos credit MUST be given to the National Oceanic and Atmospheric Administration/Department of Commerce unless otherwise instructed to give credit to the photographer or other source. Downloading Images If you wish to download an image, click below the image caption on High Resolution Photo. This will download a high resolution "jpg" image that can be saved by right clicking your mouse for printing or manipulation within a graphics software program.

This virtual manipulative allows you to solve simple linear equations through the use of a balance beam.

The greatest challenge is moving beyond the glitz and pizzazz of the flashy technology to teach true literacy in this new milieu. Using the same skills used for centuries-analysis, synthesis, and evaluation-we must look at digital literacy as another realm within which to apply elements of critical thinking... Literacy includes the ability to read and interpret media (text, sound, images), to reproduce data and images through digital manipulation, and to evaluate and apply new knowledge gained from digital environments. According to Gilster,5 the most critical of these is the ability to make educated judgments about what we find online.

"I knew when we started our unit on neighborhoods that I wanted to add a Genius Hour component to it. Kinders are fascinated with building, making and designing with the various manipulatives they have available to them and the sheer joy of creating. Each piece they connect, whether on their own or with a friend, has a story: the how, the who and the what for about their structure/vehicle/invention. We introduced the idea of neighborhoods with brainstorming, read alouds and a Brainpopjr. We asked questions and created a Neighborhood Wonder Wall."

"Technology offers a myriad of ways to learn, practice, and understand math. Math manipulatives, videos, games, interactive simulations, physical activities - all can help reinforce a deep conceptual understanding."

"We have many ways to do Hour of Code at Khan Academy, choose the one that suits you best! * Hour of Drawing with Code - Learn how to program drawings using JavaScript, finishing up by designing your very own silly animal.Try it on your own or with your class! * Hour of Webpages with Code - Learn how to make webpages with HTML tags and CSS, finishing up by making your very own greeting card. * Hour of Databases - Like playing with data? Learn how to manipulate data in a database and make your own custom store.

"PBL (Problem Based Learning) has long been an important aspect of my teaching programme. This term in my Year 6 Mathematics Class we have been learning about Fractions and Decimals. After doing some learning about how to use and manipulate them effectively and developing an understanding of chance, the students have been set a problem based around filling a gap in the market.   The students were set a problem based on filling a gap in the market. The problem was: "The educational board game market is severely lacking fraction, decimal and chance based games to support learning"."

"The YMCA's Camp Combe is one of the most popular and best-known sleepaway camps in the New York Area. Serving over five hundred children a day during the summer months, the facility keeps its guests both busy and entertained with a whole host of activities including swimming, archery, high rope courses, nature walks, and...Minecraft? No, I'm not kidding. An hour outside of New York City, New York, a group of third-to-fifth graders this week dove into the camp's first ever Minecraft session. Of course, as creatively-oriented as the base game is, it doesn't really teach kids all that much as far as practical knowledge is concerned. That's why Camp Combe is using an educational variant of the title: MinecraftEdu. Deveoped by TeacherGaming, MinecraftEdu is a modified version of the base game whose sole purpose is to get its players interested in STEM (science, technology, engineering, and mathematics) fields. After logging in to MinecraftEdu, players are first taught the basics of the vanilla Minecraft experience - logging into a server, controlling their avatars, manipulating the environment, acceptable behaviors...you get the idea. Once they've been schooled in how to play, they're then given an objective; this task could be anything from building a bridge to creating a functional particle accelerator."

" have been looking at the future of play for about 5 years and have spoken about the topic at MIT and written about it in Fast Co. Design, Parents Magazine and The Atlantic. Recently, I summed up the research into a poster for parents and teachers to help them frame the value of play in education (see below attachment). I think this excerpt from my Atlantic article said it best, "Someday, rather than measuring memorization as an indicator of progress, we will measure our children's ability to manipulate (deconstruct and hack), morph (think flexibly and be tolerant of change), and move (think "with their hands" and play productively). Standardized aptitude tests will be replaced by our abilities to see (observe and imagine), sense (have empathy and intrinsic motivation), and stretch (think abstractly and systemically). We will advance our abilities to collaborate and create." The future favors the flexible. And that's another reason this poster has + signs at the top of each category - because the superpowers of play we will need for a constantly evolving world is always changing and it encourages everyone to add their own powers of play. "

"Pic Collage is a simple and free app for both phone and tablet that can turn photos and images into real works of art. With pre-made collage templates and backgrounds, the app is unique in how easy it is for students to manipulate their photos into beautiful layouts and patterns. The app also features built-in effects and stickers that give students the ability to truly personalize their work, providing endless classroom uses, applications and fun."

"Laura Richardson, who spent 10 years at Frog Design, has boiled it all down into one playful infographic: The Periodic Table of 21st Century Play. It nicely supplements her in-depth 2010 innovation essay for Co.Design, "The Four Secrets of Playtime That Foster Creative Kids. There are 11 play categories, from morphing to questing and from stretching to creating, and subsets of activities in each. "Play is our greatest natural resource in a creative economy," Richardson writes. "Someday, rather than measuring memorization as an indicator of progress, we will measure our children's ability to manipulate (deconstruct and hack), morph (think flexibly and be tolerant of change), and move (think with their hands)."

"You may have heard about all the cool things 3D printers can do. If you're a math teacher, maybe you've thought about letting your students make their own manipulatives or get hands-on in geometry with 3D solids. If you're an economics or business teacher, perhaps you've considered assigning students a project to design, market and sell their own 3D-printed products. Or maybe you're a science teacher interested in exploring 3D models of cells, atoms or DNA with your students. Wait! Slow down. Before you jump into purchasing and integrating this new gadget into your classroom, take a moment to consider the logistics and realities of becoming a 3D printer early adopter. Here's a basic FAQ I've developed based on my own experiences and extensive research into classroom 3D printing."

"One of 21st-century life's cruelest ironies is that technology has saved us a lot of time, which we then turn around and spend using said technology. American attention spans have dropped to a demoralizing five minutes. Most of us are constantly being bombarded by distractions, from coworkers to texts and emails to enticing Web headlines. The good news is Skynet has not taken over yet; we can still control the machines and manipulate them to not hinder our concentration."