Simple and Intuitive Mathematics for Learning Elementary Physics

Abstract

Mathematics is the language of physics and simple and intuitive mathematics is effective for imaging physical pictures of phenomena. This is important because geometrical viewpoints inspire ideas in physics. For example, some problems on the motion of a particle in a uniform gravitational field can be well illustrated by simple diagrams. Calculus is not only a way of calculating but is also closely related to the law of inertia through slope on a position-time graph. As such, cross-curricular study between mathematics and physics is effective for broadly developing thinking power at the high school and college levels.

Statistical mechanics of protein structural transitions: Insights from the island model

“…He considered that Euclidean geometry is effective at teaching the construction of concepts and that physics is difficult for junior high school students. In contrast to these views, however, a geometric analogue based on pictures or diagrams can allow students to see at a glance why the theorems of algebra, calculus, and other fields of mathematics are true [76–78]. Einstein and Poincaré held the view that we should use visual intuition [76], and Professor Saitô in fact devised the concept of the island model by visual intuition based on the triangle distance map.…”