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Related:  Maths StartersCuriosity & RigorThree-Act Math

Would You Rather? | Asking students to choose their own path and justify it 4 Strategies to Spark Curiosity British archaeologist Mary Leakey described her own learning as being "compelled by curiosity." Curiosity is the name we give to the state of having unanswered questions. And unanswered questions, by their nature, help us maintain a learning mindset. When we realize that we do not know all there is to know about something in which we are interested, we thirst. We pursue. We act as though what we do not know is more important than what we do, as though what we do not possess is worth the chase to own it. Strategy One: Equip Students to Ask Questions At its essence, curiosity is asking questions and pursuing answers. We often ask students if they have any questions, but we rarely teach them how to ask advantageous questions. Strategy Two: Provide a Launch Pad Even if students have mastered the full range of question forming, it is difficult to inquire about topics with which they have no familiarity. Strategy Three: Cast a Wide Net Strategy Four: Avoid Cutting the Search Short References

[WCYDWT] Will It Hit The Hoop? November 15th, 2010 by Dan Meyer Is he going to make it? Can you draw me the path of a shot that will make it? That will miss it? How about now? A little more obvious, isn’t it? Basketball Strobes — Full Take 4 from Dan Meyer on Vimeo. Here are seven versions of the same problem. the half video, for asking the question,the half photo, for giving the students something to work with,the geogebra file, one use for the half photo, featuring a dynamic parabola in vertex form.the full video, for showing the answer, Attachments

Go Maths ThinkQuest [3ACTS] Pyramid Of Pennies July 8th, 2011 by Dan Meyer The Goods Download the full archive [33.9 MB]. Act One image — pyramid of pennies Act Two Act Three Sequels I have $1,000,000.00 in pennies, how big of a pyramid can I make? where s is the number of pennies in a stack and b is the number of pennies on one side of the square base of the pyramid. Review Here’s my burning question: is that enough? Check for understanding: what happens during the first, second, and third acts of a mathematical story? Act one is about visuals, context, and perplexity. Act two is about tools, information, and resources. Act three is the resolution. Release Notes Teachers in my PD session love this one and, as their facilitator, so do I.

A+Click SMS | A+Click SMS stands for Short Math Situation. Don’t confuse with SMS (Short Message Service), which is used as an acronym for all types of short text messaging. The last one is the most widely used data application in the world with several billion active users. If the length of the SMS text messages is limited to 140 characters, the Short Math Situation questions are limited to 64 characters. A+Click SMS are: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 52 – 28 = 4 Which digit do I move to make the equation correct? 26. 27. 28. 29. 30. A+Click SMS Part 2 Like this: Like Loading...

When are Students Engaged? (Updated 11/2013) Educational author and former teacher, Dr. Michael Schmoker shares in his book, Results Now, a study that found of 1,500 classrooms visited, 85 percent of them had engaged less than 50 percent of the students. In other words, only 15 percent of the classrooms had more than half of the class at least paying attention to the lesson. So, how do they know if a student is engaged? What do "engaged" students look like? Teacher-Directed Learning You will see students... Paying attention (alert, tracking with their eyes) Taking notes (particularly Cornell) Listening (as opposed to chatting, or sleeping) Asking questions (content related, or in a game, like 21 questions or I-Spy) Responding to questions (whole group, small group, four corners, Socratic Seminar) Following requests (participating, Total Physical Response (TPR), storytelling, Simon Says) Reacting (laughing, crying, shouting, etc.) Student-Directed Learning You see students individually or in small groups...

Other People’s Problems October 27th, 2011 by Dan Meyer Malcolm Swan: Draw a shape on squared paper and plot a point to show its perimeter and area. Which points on the grid represent squares, rectangles, etc. Draw a shape that may be represented by the point (4, 12) or (12, 4). Find all the “impossible” points. I like this problem a lot (I’ll spoil some of the fun in the comments) even though it’s fundamentally dissimilar to most of the problems I write about here. One of the best parts about my working life right now, including grad school and my work with publishers, is my daily exposure to the vast set of answers to the question, “What makes for good math education?” So I’m grateful to instructors like Labaree and Stevens who urged us all to quit trying to solve the problem and focus first on describing the domain of the problem and its range of solutions. They all reveal their constraints quickly and clearly. Let me close with a tweet from David Cox, a math teacher who also gives a damn about design.

Find the Factors | A Multiplication Based Logic Puzzle Questioning Toolkit Essential Questions These are questions which touch our hearts and souls. They are central to our lives. They help to define what it means to be human. Most important thought during our lives will center on such essential questions. What does it mean to be a good friend? If we were to draw a cluster diagram of the Questioning Toolkit, Essential Questions would be at the center of all the other types of questions. All the other questions and questioning skills serve the purpose of "casting light upon" or illuminating Essential Questions. Most Essential Questions are interdisciplinary in nature. Essential Questions probe the deepest issues confronting us . . . complex and baffling matters which elude simple answers: Life - Death - Marriage - Identity - Purpose - Betrayal - Honor - Integrity - Courage - Temptation - Faith - Leadership - Addiction - Invention - Inspiration. Essential Questions are at the heart of the search for Truth. Essential Questions offer the organizing focus for a unit.

Putting Asilomar into action | A Math Education That Matters A week has passed since I went to the annual California Math Council conference at Asilomar. It was my first time attending, and, my god, it got me fired up to get back to work teaching kids math. Luckily, my wait was only a matter of hours. Dan Meyer‘s session on making math class more like the addicting video games that teenagers love was a winner. Andrew Stadel ran a great afternoon session in which he did a Dan Meyer-style three-act task. Rick Barlow and my good friend Shira Helft ran a great session about structures that get kids talking, explaining and justifying math. I could go on and on here, but I’ll stop. Like this: Like Loading...

5 Maths Gems #34 Hello and welcome to my 34th gems post. This is where I share five teaching ideas I've seen on Twitter. The summer holidays are finally here! Let's be honest though - although it's lovely to have the opportunity to rest and play, the majority of us do a fair amount of school work over summer - creating resources, organising and tidying, preparing for September, catching up on reading... Have you read all 34 of my gems posts? Now's a good time to start! 1. 2. I love this prime clock from the brilliant Minimal Math Concepts. Whilst on the subject of primes, check out this excellent primes and factors puzzle from @LearningMaths: @LearningMaths always produces excellent resources. If you want to take this idea further, your class could design and produce a maths alphabet poster like the examples shown below. 4. 5. Recommended Reading This summer @DrBennison and @MissNorledge are undertaking an impressive #summerblogchallenge. Here's a few recent posts that I recommend: Update

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