There is no escape...believe it or not. Mathematics is everywhere.
I hear I forget,
I see I remember,
I do I learn.
When I read this quote in an article on learning strategies, I realised how important it is to use hands on activities for teaching learning Mathematics. In year 2K we established a Maths lab in our school with a mission of creating interest in the subject using hands on activities and recreational Math which is not a part of any syllabus of any grade. In a year or two we came to notice a remarkable change in the attitude of students towards learning of Mathematics. It was in the year 2003 C.B.S.E. in India made it mandatory for all schools to have a Maths lab in school. I contributed in preparing a Laboratory Manual of C.B.S.E for grades 9 and 10. In the year 2006 , I came to know about blogging and created my blog for sharing Math lab activities at Planet Infinity.
Are you teaching the same way?
What other strategies you are using for teaching Math. Please share.
In "Deriving the Formula for the Volume of a Cylinder," you claim that the Length of the cuboid is 1/2 the circumference of the top circle. This is untrue, and would confuse a discerning student. You are better off by showing them the limiting process and letting their imaginations see the conclusion.
The length of the cuboid is approximately half the circumference of the top circle. The approximation is "off" by the difference between the length of an arc and the length of the secant. This difference, or error, is clearly (to students) related to the "curvature" of the arc. The smaller the arc, the less the difference. So if you started by cutting the cylinder into two pieces, then three, then four, etc. the students can quickly see that when you cut the cylinder into " a zillion" pieces the resulting cuboid is almost exactly a rectangular solid, so they can give the Volume = Length x breadth x height formula.