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How many ways are there to prove the Pythagorean theorem? - For more proofs of the Pythagorean theorem, including the one created by former U.S. President James Garfield, visit this site. Another resource, The Pythagorean Proposition, by Elisha Scott Loomis, contains an impressive collection of 367 proofs of the Pythagorean theorem. The Pythagorean theorem can be extended in its breadth and usage in many ways. For example, the theorem can be extended to 3 dimensions: the squared distance between diagonal corners of a cube is equal to the squared distance of the length, width, and height of the cube. In the same way, though perhaps difficult to visualize, the theorem can be extended to any number of dimensions.

Amplifying student voice in purposeful digital lesson design. This is a collaborative post written with the incredible Sean Fahey, an amazing 6th grade teacher in Indiana. Be sure to follow him on Twitter and check out his blog at faheystech.blogspot.com. If you follow either one of us on Twitter, you will quickly find out that we have many things in common. Two of those being our passion for Flipgrid and HyperDocs. Video Creation This page is designed to introduce and show you how to use various free video creation resources. The process of creating and publishing videos can be a great way to get students excited about researching, storytelling, and sharing their work with an audience. For teachers who have never facilitated video creation projects in their classrooms, choosing the right style of video and the right tools can be a bit confusing at first. To help bring clarity to the styles and tools, I have a rather simple outline that I use in my video creation workshops. That outline with suggested tools for creating videos in each style is included in the PDF embedded below.

Sketchnotes in the Classroom: 10 Ideas to Get Started What if taking notes could put a smile on your students’ faces? Just imagine if you could get your kids excited about an exercise in higher-order thinking. Picture your students begging to take notes because it involves gel pens and doodles. After Summer, Teachers Spend a Month Reteaching Students Two-thirds of teachers polled in a recent survey said they spend at least a month reteaching students old material when they return from summer vacation. The survey, administered by the National Summer Learning Association, asked 500 teachers how much time they typically spend teaching students skills they should have learned and retained from the previous grade. Nearly a fourth (24 percent) said at least five to six weeks, while two-thirds claimed at least three to four.

Frayer Model-Vocabulary Study Google Doc! Frayer Model-Vocabulary Study Google Doc! I like to make technology and learning interactive. While working on ideas for science vocabulary, I began thinking about using Frayer models. How to Use Padlet in the Classroom: A Fantastic Teaching Tool Padlet is a versatile, easy to use tool for every teacher’s toolkit. Let’s learn the basics. At the bottom of this post, I have a Padlet that is temporarily open for you to post and share your favorite edtech tools. Richard Byrne, author of Free Technology for Teachers, spent some time teaching the teachers at my school about Padlet. I’ve got some notes in this article that he mentioned in the workshop to give him due credit.

Does reading fiction make us better people? - BBC Future Of course, experiments are one thing. Before we extrapolate to wider society we need to be careful about the direction of causality. There is always the possibility that in real life, people who are more empathic in the first place are more interested in other people’s interior lives and that this interest draws them towards reading fiction. It’s not an easy topic to research: the ideal study would involving measuring people’s empathy levels, randomly allocating them either to read numerous novels or none at all for many years, and then measuring their empathy levels again to see whether reading novels had made any difference. SMART IEPs (Step 4): Write Measurable (Not Abstract) Goals A SMART IEP is an individualized education program that is: specific, measurable, filled with action words, realistic and relevant, and time-limited. Attitude statements are non-goals A parent wondered if "commitment to academic success" was an appropriate goal. IEPs often include attitude statements, i.e., "have a good attitude," "display a cooperative spirit," or "develop healthy peer relationships."

Teacher Talk: PicCollage in the Classroom – PicCollage When we created PicCollage, we thought it would mainly be used as a digital alternative to scrap-booking, allowing users to capture their memories in unique, creative ways. But pretty quickly, we began seeing teachers from all over the world sharing their students’ PicCollage projects across social media and we realized what a great tool we’d created for the classroom! Since then, we’ve worked to make PicCollage classroom-friendly by adding school settings and even developing PicCollage for Kids, which can be used by kids of any age. Recently, we chatted with teachers from all over about how they use PicCollage in creative ways in the classroom to bring their lessons to life. Stephanie Laird, an Instructional Coach at Mitchellville Elementary in Iowa started using PicCollage three years ago as a way for students to document their learning and demonstrate their understanding. Today, she works with teachers and students to incorporate PicCollage into their teaching and learning.

Hypertext Engineer Vannevar Bush wrote "As We May Think" in 1945 in which he described the Memex, a theoretical proto-hypertext device which in turn helped inspire the subsequent invention of hypertext. Etymology[edit] "(...)'Hypertext' is a recent coinage. 'Hyper-' is used in the mathematical sense of extension and generality (as in 'hyperspace,' 'hypercube') rather than the medical sense of 'excessive' ('hyperactivity'). There is no implication about size— a hypertext could contain only 500 words or so.

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