Archive for the ‘Geometry’ Category

BEYOND Differentiated Instruction

Thursday, March 2nd, 2017

Peninsula Heritage offers students the opportunity to learn academics at their own personalized pace, with small group instruction. For instance, in mathematics, students can advance one, two, or even three years above their class and still be with their age-appropriate peers for their other subjects, which nurtures appropriate social-emotional growth.
In the Eighth Grade, a full year of Geometry is offered to those who have previously excelled in mathematics. In addition to this rigorous curriculum, the small class size allows students to independently pursue mathematical processes that are of particular interest to them.Chris's Cross Line Theorem
For instance, last week during class one student formulated the idea that there might be an easier way to manually (i.e. not using a calculator) square two-digit numbers. In an instant, this young mathematician was off and calculating, trying one approach after another. Within twenty minutes he raised both hands in victory. He had created what he called Chris’s Cross-Line Theorem for Squaring Two-Digit Numbers. Then, each of his classmates put forth a two-digit number to test the new Theorem, and each time it worked!
The following day this student learned that his new Theorem had already been discovered by others in the mathematical world. Although disappointed, his Geometry class had already learned the famous situation of independent discovery: both Isaac Newton in England and Gottfried Leibniz in Hanover (now Germany) developing differential and integral calculus independently. This PHS student realized that the true joy was in the process of discovering!

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