Geometry as a springboard to math

When there is a first combination … you will find a second combination.

I been thinking that these combinations are ideal ways to introduce a child in primary to various terminologies, words, language. One can apply terminologies found in algebra, explain the concept of variables with the pictures you see on the board. In that case the word sum could be brought to the child’s attention, that this word is linked to an addition, introducing the word quotient and product. For visual children this can be a good tool to give them these words. By experience a 10,  11 and 12 year old can by times struggle with word problems hence to a non-understanding of the terminologies they have in front of them.

These important words are often neglected because of the drive of having the right result or answer.

Of course there are millions of ways to give ‘the words’ to a student, yet within the Montessori material is so much that can be used for things, topics, facts and ideas but one doesn’t dare to do.

Another example…

I can explain (within the chapter of equations) what it means to maintain balance. It is visual, clear and attractive. ‘whatever is done on one side of the equal sign must also be done on the other side’;This board could be my introduction. Later one also can use a scale to let the children explore.

I will continue my investigation of the vabulous variety within the Montessori material, wher and how to apply the given in different topics of mathematics.

Chris

CHILDHOOD (6 – 12)

This is a “calm phase of uniform growth” in which the abstract mind is organized. The child’s mental and physical horizons open up and there is no limit to what the child can explore if the opportunities are there and conditions are favorable.

For this plane of development, Montessori emphasized an expansive education, a vastness of culture, wider social contacts and the open environment. This child wants to explore the whole question of morality, and can, together with other children, build social groups that are organized with rules to be governed by and work to be done.

The child of the second plane is eager for knowledge and understanding of the world built by Nature and mankind. He/She is endowed with the power of imagination, abstract thought and reasoning and physical strength.

The Four Planes of Development 6 – 12, The “Social Self”

In the second plane, the six – twelve year old is in a stage of consolidation and relative stability. It is a time of great energy. It is generally a hard and strong period.
Exploration out into the nature and society can begin. It is a time of loosing teeth. At nine some children loose their molars. New teeth allow the child to eat bigger food. The power to abstract and the intellect grows tremendously.

All other factors sink into insignificance as compared to exploring the world by feeding the intellect. It is during the second plane that a sense of time develops. This plane is when the child makes collections. It is also the time of the herd instinct, an indication of a growing social self. This is a time of moral development and fairness is a big issue. It is a time for teaching children how to work things out and how to cooperate. It is also a time of hero worship and a time when maximum effort is put forth in the physical, mental and social area.
The children have still a deep connection with the family.