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Maria Droujkova
Works at Natural Math
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Maria Droujkova

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A new blog post in the Inspired by Calculus series - an integration toy. http://www.moebiusnoodles.com/2014/04/heart-collage/
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A review of the book, from the good people in the natural mothering community.
Have you ever heard of a mirror book? It's a simple thing made of two inexpensive mirrors...
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We did not build the mirrors into the book - it just has an activity about mirror books :-) But maybe we should!
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You're never too young to be a scientist. And if you have an idea you're working on, submit it to the Google Science Fair at googlesciencefair.com! 
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I am very excited to learn more and help teachers implement natural math. Thank you for your immense effort and dedication to our students.
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Inspired by Calculus - Integrating with Fruits! Week 2 of the March-April Math Circle. "What was happening? It took us a few days to come up with the hypotheses that kids were trying to integrate 2-dimensional solids (book pages) out of 1-dimensional lines. We will test the idea next time."
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Math is an enticing adventure of discovery-based play. Find out how to start out that way and keep it that way via open-sourced ideas.
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I am super-excited about the syllabus of our next open course. One reason is that it merges skills and concepts.

Week 1: Introduction. What is multiplication? Hidden dangers and precursors of math difficulties. From open play to patterns: make your own math. 60 ways to stay creative in math. Our mathematical worries and dreams.

Week 2: Inspired by calculus. Tree fractals. Substitution fractals. Multiplication towers. Doubling and halving games. Zoom and powers of the Universe.

Week 3: Inspired by algebra. Factorization diagrams. Mirror books and snowflakes. Combination and chimeras. Spirolaterals and Waldorf stars: drafting by the numbers. MathLexicon.

Week 4: Times tables. Coloring the monster table. Scavenger hunt: multiplication models and intrinsic facts. Cuisenaire, Montessori, and other arrays. The hidden and exotic patterns. Healthy memorizing.
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Maria Droujkova writes, "Last week, The Atlantic published my interview called 5-Year-Olds Can Learn Calculus. I have been following the discussions on blogs, forums, and news sites.
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+Maria Droujkova I am not sure if you need scaffolding or just specific examples. There were so many (good) suggestions that I found myself a little unsure about where and how to start. Some concrete examples could serve as an anchor. 
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5-year-olds can learn calculus
http://www.theatlantic.com/education/archive/2014/03/5-year-olds-can-learn-calculus/284124/

About Natural Math, early calculus, and the role of free play in learning. An interview by Luba Vangelova.

“You can take any branch of mathematics and find things that are both complex and easy in it,” Droujkova says. “My quest, with several colleagues around the world, is to take the treasure of mathematics and find the accessible ways into all of it.”

It will be interesting to see how this discussion develops!

Pose your questions about early advanced math, free play, or math circles at our Q&A hub.

Update: the discussion develops, with many interesting points in comments.
r/math Reddit community http://www.reddit.com/r/math/comments/1zfizg/5yearolds_can_learn_calculus_why_playing_with/
Ycombinator  Hacker News https://news.ycombinator.com/item?id=7333998
Slashdot News for Nerds http://beta.slashdot.org/story/198957
Globe and Mail follow-up interview (Canadian newspaper) http://www.theglobeandmail.com/life/parenting/can-five-year-olds-really-do-calculus-this-educator-thinks-so/article17322640/
Full translation of the article by RIA (Russian News and Information Agency) http://ria.ru/studies/20140306/998418738.html
A shortened translation into Japanese (GigaZine) http://gigazine.net/news/20140306-children-play-math/
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Very proud of you +Maria Droujkova
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  • Natural Math
    Director, 2001 - present
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Make math your own, to make your own math
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