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Montessori School Fullerton, Orange County, CA 92833

Testimonials

Mathematics and Geometry
 

Math has been a part of the human being since the beginning of time. It has been a part of man’s effort in the discovery of food, clothing, and shelter. The tendency of human beings to create and invent is based on law, order and exactness. It is inherent in us and belongs to us universally, and therefore belongs to the child. Dr. Montessori believed that math should not be difficult for the child and it is the adult’s influence that presents a negative view of math. Adults convey misconceived ideas that math is difficult and mysterious, something that only gifted children should attempt, and children should not be presented with it too early. Dr. Montessori believed that all human beings has the capability for a mathematical mind, so none of these notions are true. She maintained that that the process for the acquisition for language is more complicated, than that required for math, and yet one expects a child to use language effortlessly. The reason that the child does so with relative ease is that he is given a greater exposure to it from the moment he is born. In a Montessori environment, the child is given exposure to all aspects of math starting from the primary children’s house.

In the elementary class, math starts with the story of numbers which outlines where our decimal systems and numbers started. After the presentation of the concept of the Million (The child arrives in elementary class with the concept of numbers to Thousand in place) the presentation of math proceeds as follows:

Multiplication

Long Division

Squaring and cubing with the materials

Fractions  (includes the four basic operations)

Decimal Fractions

Squaring and Cubing (leading to abstraction and formula)

Square Root/Cube Root

Negative Numbers/Powers of Numbers

Non-Decimal bases

Ratio and Proportion

Word Problems

Distance, Velocity and Time

Principal, Interest, Rate and Time

Measurement

Introduction To Algebra

 

Geometry

We begin by giving the child a historical prospective of geometry, through stories of the early Greeks, Pythagoras and the Egyptians. This is for two reasons:

1.     To give the child an idea of the origins of geometry, in a way that he will find it interesting. Also, it is to let him know that it is a concept that has developed over time.

2.     To let the child reflect on the relationship of the development of geometry and his own development. The practical applications of geometry came first, the reasoning later. This is exactly how the child learns, experiences come first, and the whys and wherefores come later.

During the course of our study we do work that centers round six topics:

1.     Congruency, similarity and equivalence

2.     Polygons

3.     Study of angles

4.     Study of lines

5.     Area of plane figures

6.     Solid geometry and area of solid figures