3 Rules to Spark Learning: A Must Watch for All Teachers

Ramsey Musallam, chemistry teacher from San Francisco, California, talks about 3 rules to spark learning: (1) curiosity comes first, (2) embrace the mess, (3) practice reflection. Even though he is a chemistry teacher, these rules are clearly applicable to all subjects especially mathematics. Curiosity is the reason why mathematical conjectures are made and theorems are proved. The “mess” is what every problem solver go through, it is the hidden face of cut-and-dried theorems we found in books. Reflection is important to teachers and students. They can reflect on how students think and develop strategies on how to elicit responses, while students can reflect on their practices in solving problems.

Watch Ramsey Musallam in one of the most fascinating 6-minute lectures about curiosity and learning.  » Read more

The Explanation to the Infinite Chocolate Bar Trick

Last week, I posted about the video shown below, a method that allows you to create infinite chocolate. Watch again the video and observe closely where the extra chocolate came from.

After watching this video, watch the following video which discusses the secret behind the trick.

You can explore the GeoGebra applet shown in the second video here.

Learning the Mathematics of History through Ngram Viewer

Google Ngram Viewer is an online phrase grapher pioneered by Erez Lieberman Aiden and Jean-Baptiste Michel. It graphs words or phrases from more than 5 million textbooks digitized by Google. The x-axis shows the year while the y-axis shows the percentage of appearance in relation to other n-grams (1-gram is a 1 word phrase, a 2-gram is a 2-word phrase).

The grapher is easy to use. Just type the words or phrases you want to know about or you want to compare. For example, I want to know which of the following jobs are popular:  actor, soldier, politician, athlete, and mathematician. Well, from the result below, if I were a young man who wants to be written in books, I probably wouldn’t want to be a mathematician.  » Read more

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