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Showing posts from December, 2019

Refelction of the whole blogs

Read through my blogs, my view is widened. This class offered me more opportunities to read and involve different methods to deliver math ideas. First, I learned about how to construct and manage my lesson plan and unit plan which I will use later. I learned from my team members when we were working together to make a lesson plan  Although it is only 15 minutes lesson, we exchanged our ideas and had a good result. The unit plan is more challenge for me. Fortunately, my classmates helped me to collect information and supported me lots. I am appreciated for their caring. The unit plan needs to include different factors, such as indigenous context, environment factors and culture diverse, social structure. This unit plan pushed me to think out of the box, to think more about educate a people, not only math content.  Second, the class shaped my own view.  Math is fun. We plan puzzles. Each puzzle has different approaches, and all worked well. I would like to share my feelin...

Summary observations of the term blog

Upon review of the blog from this term in this class, I find a nice selection of teaching philosophies and styles discussed in the articles.  The articles suggest ways that we can direct our own teaching practice and give some examples of how a method has been used in the past.   In addition, we reflect on our own reasons for choosing math and our reasons for becoming teachers.  Finally, there is a nice selection of reflections from my own practice teaching (micro teaching) that are interesting to look back on. Finally, there is the most fun and interesting ideas for math puzzles/riddles that I solved or at least tried and that I can use in my own classroom to stimulate discussion and spur creative math thinking. All and all an interesting selection of resources to have for future use.  Thank you.

1000 bottles of wine

This was a very interesting question but I could only get partway through.  I numbered each bottle of wine from 1-1000.  Then, with 10 rats, I knew that we could group the bottles into groups of 100's, with 1 group of 100 for each rat.  So rat 1 would have bottles 0-100, rat 2 would have bottles 101-200, and so on.  In this scenario, I could test 100 bottles of wine with 1 rat so that I would be left with 900 bottles of 'safe' wine.  But this isn't what the question ask.  But then I was stuck. I have since learned that we can solve the problem using binary numbers.  To start, label the bottles in base 10 representation 1-1000 again, but this time, also label them in binary.  The rats represent the digits of a binary number: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512. For each bottle of wine, pour one drop of wine for each 1 in it's binary code in the appropriate rat.  After an hour, the dead rats/live rats will reveal a pattern showing which b...

Off the Grid, Edward Doolittle

To begin, I especially liked the sentence ' No matter how determined we are to extend our grids, we must eventually bow to the gentle but insistent curvature of the earth.    This is a beautiful statement - nature overpowers and will win every time in it's simple, graceful but forceful way. 2 or 3 'stops' I had in reading this: things that stopped you, surprised you, etc. 1) I didn't realize how strict and unmoving a 'grid' system was.  According to the article, grids are inflexible and don't yield to the earth or nature.  Consequently, we can say also that while Euclidean geometry is promoted for its practical value, it fails in practicality unless limited to small uniform regions. 2) The delineation of the land based on the very practical methods relative to proximity to the river and slope of the land was again very natural and beautiful and simple and dare I say, perfect for the application.  There is no issue in this context of whether the lan...

Revised Unit and Lesson Plans (Draft 3)

The Unit and Lesson Plans can be accessed using this following links Unit Plan Lesson 1 Lesson 2 Lesson 3