Geometry remains one of the most forgotten areas in mathematics classes and we often do not give it the importance it deserves. Geometry topics are often left until the end of the course and there is not always time to work on them.

Surely, at school they taught you geometry on paper. You saw three-dimensional figures represented by drawings and a collection of formulas for areas, perimeters and volumes that you had to memorize.

All this was uninteresting, difficult to understand and very far from the reality that surrounds us.

But learning geometry doesn’t have to continue to be this boring. There is another way to teach geometry that children enjoy while learning.

## Manipulative geometry

Geometry, like other areas of mathematics, is learned by observing, touching and experimenting. Therefore, the best way for children to discover this exciting branch is through manipulative geometry.

There are a large number of manipulative materials with which children can explore, deduce and learn the geometric properties of figures and bodies as well as internalize increasingly complicated geometric concepts.

Although there are many to work with geometry, not all are as versatile as Tangram, polycubes and geometric blocks.

Below I tell you more about them so that you understand why I consider them the three best manipulative materials with which to work on geometry.

## Tangram and geometry

Surely you have ever seen a Tangram, the game of Chinese origin composed of 7 geometric figures: 5 isosceles triangles (2 large, 2 small and 1 medium), a rhomboid and a square.

It is normally accompanied by proposals with models of figures to build with all the pieces that make it up. Currently, there are more than 16,000 figures with which your children or students will be busy and have fun for hours.

Apart from this, its pieces can also be used to propose dozens of activities to work on plane geometry concepts such as the properties of geometric figures, area and perimeter. Furthermore, by experimenting with Tangram, your children and students will be able to develop logical reasoning, psychomotor skills and enhance their sense of direction.

You just need to propose the appropriate activities for each concept or area you want to work on.

With Tangram you can propose activities for children of all ages. For example:

- Sort the triangles by size or build a square with two or three pieces, in Early Childhood.
- Work on symmetry and the area of plane figures, in Primary.
- Calculate the sides of each of the figures taking the side of the large square as a unit of measurement, in Secondary.

## Polycubes

Polycubes are nestable cubes, of ten different colors, that are used to learn mathematics in a manipulative way.

Their resistance and versatility make them a material that has a very long life and can be used for activities from Kindergarten to Secondary School.

Here are some ideas to work with geometry with polycubes:

- create objects freely
- build geometric figures and bodies
- study symmetries in the plane or in three dimensions
- recreate models drawn on paper
- work on spatial visualization by drawing the plan and elevation of a given object
- build figures from a given floor plan and elevation (you can increase the level as much as you want)
- reproduce figures from a template

As you can see, it is an essential material to work on geometry. But with them you can also propose activities to teach calculus, algebra and statistics or to develop logic.

## Geometric blocks

The geometric blocks are a set of flat figures, with six different shapes: equilateral triangles, squares, hexagons, rhombuses (blue and gray) and trapezoids, each one of a different color.

This material, so attractive to the eyes of boys and girls due to its color, presents many possibilities, in terms of variety of activities and level of difficulty, to work on geometry in a manipulative way.

With geometric blocks you will be able to:

- begin to know plane figures and their elements (sides, vertices, diagonals and angles)
- discover regularities and patterns (regular geometric figures and bodies, symmetries, mosaics, etc.)
- work on more advanced concepts such as perimeters and areas
- solve geometry problems and challenges with closed and open proposals
- and also make free creations and thus develop your creativity

## How to learn geometry without drawings on paper

You’ve already seen why Tangram, polycubes, and geometric blocks are the manipulative materials I most recommend for teaching geometry.

They are versatile and we can create countless proposals with them. They can be adapted to all ages and children have a lot of fun playing with them freely. Plus, they’re easy to store at home or in the classroom, and if that’s not enough, they’re also pretty and affordable.

You can’t ask for more from them.

## Manipulative geometry course

In my online school I have a new course where you will learn how to teach geometry in a manipulative way to your children and your students, so that they understand it and enjoy their learning process: **Manipulative Geometry with Tangram, Geometric Blocks and Polycubes.**

In it I offer you more than 100 activities, with templates ready to print, to do with your children or your students between 4 and 14 years old. Furthermore, all of them can be carried out with just the three fantastic materials that I have just presented to you.

By clicking on the following button you will see all the course information.