Archive for the ‘Mathematics’ 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!

Differentiated Instruction in Mathematics

Saturday, January 21st, 2017

“Differentiated instruction” has recently become a buzz word in education, but Peninsula Heritage School has been actively engaged in differentiated instruction for years!
One example is the mathematics program throughout the school. Since math is taught during the first hour in the elementary grades, Explaining the Riemann Zeta Functiona gifted Kindergarten student, for instance, leaves his class during this time and walks to the First Grade room where he is a part of the First Grade math class. This is the same throughout the school, and we have students who are two (and sometimes three) grades above their age group in math. However, these students return to their age-appropriate class for the balance of their subjects as well as recess, lunch, and P.E. This configuration nurtures all the students’ social/emotional growth.
In the Seventh and Eighth Grades, the math courses offered at PHS include pre-algebra, Algebra I, and Geometry.
In addition to their coursework, Eighth Grade students in Geometry are assigned presentation topics in three categories on a rotating basis: Famous Mathematicians, Mathematical Current Events, and Subtopics of Mathematics. Today, one of our students gave a Current Events presentation about the latest work on the Riemann Zeta Function, complete with computer-generated graphs and equations.
While these student presentations are only four minutes in length, they introduce our students to the world of mathematics beyond Geometry and also give them additional practice in presenting information in front of a group.
Congratulations, Samantha, on today’s presentation!

Our Blog