Friday, November 8, 2013

Math problems of the week: traditional vs. contemporary algebra

Highest Common Factors in 1900's algebra vs. College Preparatory Mathematics

I. The first problem set involving highest common factors in Wentworth's New School Algebra (published in 1898) [click to enlarge]:



II. The only problem set involving highest common factors in CPM's Algebra, 2nd edition (published in 2000) click to enlarge]:


III. Extra Credit

My home schooled daughter just finished the Wentworth assignment, above. What, if anything, does this predict about her "higher level mathematical thinking skills," as standardized by the Common Core?

2 comments:

C T said...

I love that Wentworth problem set. It's so clear and focused on actual algebra.
The rectangles on the CPM page actually detract because they tie concrete, 2-dimensional visuals into problems involving x^3.

Auntie Ann said...

The Wentworth book is simply fun, too. There is joy in doing complex problems. No clutter, just the challenge of figuring it out and getting it done.