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.
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.
Where to start in Geometry? What age is the right one? How much does one need to pay attention to language? Again I think that children can and need to be trained in their visual understanding and additionally one can add the right words to what they see and obsreve. The earlier they learn to be able to express what is in front of them the better it is.
I see it now in the last year of elementry and in the first years of secondary how hard it is ti express properly and clearly what they see and most of all, what they have to do or are doing. SO language is essential and will help them to describe and explain…
If you can explain it, you know how to do it…
THINK INTERDISCIPLINARY 🙂