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# April 2018 Editors' Picks

April 12, 2018

Here we present some of the best mathematics videos that our content team has curated this month. Our free Epsilon Stream App presents you with the best selection of curated mathematics videos, blog posts and games. You can search the App for almost anything you can think of in the realm of K - 12 mathematics and related exploratory areas.

As for the curators - who are we? We are parents, teachers, curriculum developers and mathematics researchers. Why do we do it? We just love watching and discussing mathematics videos and we are working on making Epsilon Stream and incredible go-to address for reference and mathematics joy.

Infinite Sums and Geometric Series Explained Visually by Think Twice: This video presents an elegant visual explanation of geometric series and related results. Watching this will help you develop some intuition around these infinite sums.

A Valentine from Möbius (Radcliffe Institute) by Harvard University: We found out about this great video via Mike Lawler's cool post, 15 (+1 bonus) Math ideas for a 6th grade math camp. Take a strip of paper, loop it over, and tape the ends together. Now cut it in half lengthwise. It is fairly straightforward to imagine that you end up with two loops. What happens if you twist the paper before connecting the ends? This is not so easy to visualize. Check out this short but beautiful video by mathematician Takeshi Tokieda that looks at such visualisations. Can you predict how it will turn out?

Music And Measure Theory by 3Blue1Brown: Play two musical notes at the same time on a piano. Some pairs sound pleasant, others sound quite dissonant. This video explores the relationship between such musical intervals and the mathematical problem of covering the rational numbers between 0 and 1. Can we create such a cover with open intervals on the number line, such that the sum of the lengths of the intervals is strictly less than 1? Does that sound weird? Impossible? How is this related to music? Your gut feeling may be that there is a deep association between music and mathematics. The connections made in this video are just beautiful.

When Pi is Not 3.14 by PBS Infinite Series: The famous constant Pi is always the ratio of the circumference of a circle to its diameter. You may not realise that the value of Pi is actually sensitive to the way we measure distance. In fact, you may not have realized that there are many ways to define distance. One such way is using the "taxi cab metric". This video explores this idea and beyond.

Beautiful Visual Explanation of Completing the Square by Eddie Woo: Eddie Woo is an amazing Australian high school mathematics teacher who has had a positive impact on the mathematical education of many people around the world through his engaging classroom videos. In this video, check out his delightful visual explanation of completing the square, and take note of the electrifying atmosphere in his classroom. Surely this is an inspiration to teachers of mathematics around the globe!

Why is it Called the Chain Rule? by Tipping Point Math: If you have studied differential calculus, then you are surely familiar with the chain rule for differentiation. You may not, however, have considered the enlightening visualisation of gears in this video, and how it relates to this well-known chain rule.

The mathematical secrets of Pascal's Triangle by TED-Ed: What is mathematics? The study of patterns? If that is the case, then this video by Wajdi Mohamed Ratemi cuts straight to the heart of mathematics by highlighting some fascinating patterns in Pascal's Triangle. What is your favourite pattern in Pascal's Triangle?

Let us know which of these videos you liked the most. We'd love to hear from you.

If you have an iOS device then you can now run the free Epsilon Stream iOS App and enjoy over a thousand videos categorized to match your search. If you are not an iOS user, register with us to try the Beta version for web/Android, out soon.

You can also follow @OneOnEpsilon on Twitter for daily maths video shoutouts and continue to support incredible mathematics content creators on youtube.

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