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

The Four Planes of Development 12 – 18 – “Adolesence Turmoil”

Late adolescence is turmoil. During this time, age twelve to eighteen years others become more important. Little by little they leave the family, first emotionally then physically.
This is hard on parents. Parents are asked to see the adult in the child. Parents need to change how they talk. What was appropriate before is not anymore. The children are being reborn (powerful hormonal changes are occurring) and are very insecure. They see adulthood coming and are very interested in themselves.

All children at this age have an inferiority complex. They are convinced they are being watched. They imagine everyone is looking at them. They don’t have a stable inside or outside anymore. It is also a very idealistic time. They need to be exposed to heroes and idealists. They want to know they have a role to play. They respond to people who make a difference.

The hardest part in our society is that they are seen as useless. Society is telling them there is no place for them until they get older. The way out for this is often the arts, music and drama.

This is the time that the child develops significant relationships with other adults. There is a decrease in IQ during this period. The child has a decreased interest in academic learning when they are really growing and going through great physical changes.

It is a time to train for self-sufficiency. Connect lessons with practical, concrete experiences. This is a good time to learn about the independence and interdependence of nature.