An Illustration of the Theory
What is the essence of geometry? It is form, symmetry and perspective. Children
possess a natural feeling and understanding for these things. This understanding
is taken as the starting point for the teaching of geometry and the aim
is to awaken and nourish these qualities.
Why not start the teaching of geometry by encouraging the drawing of very simple
forms at a very early age. The forms can begin
quite simply and progress gradually so that in the lower grades the children
experience straight and curved lines, the circle and other geometrical shapes,
symmetry, mirror images, and metamorphosing forms.
Little use would be made of
the ruler and measuring, and children are encouraged to improve their visual
judgement and freehand drawing. Children draw and then color in many different
types of geometrical patterns and drawings. “Real” geometry
can now be taught but again it will remain in the realm of observation
and artistic construction; it is not concerned with measurement and proofs.
For
example, perhaps from ages 10 to 11 constructions can be drawn
with compass and ruler, but without calculations and measurement. Geometrical “proofs” are
learnt by “discovery” from the constructions drawn, namely “proofs” are
visible. The teaching of the actual proofs can follow and could be taught
at around age 12.
Thus knowledge is built up through the wonderful experience of discovering
that one's own feeling for form and so on can directly relate to learning geometrical
proofs and theorems.
Through this and similar processes an important
principle is established. In the
first place children come to care for and understand subject
matter. Later on they can learn and add the theoretical
knowledge.
In so doing, integration of left and right
hand brain activity occurs, first through feeling and later on through
cognitive understanding.
One Further: Example - Heroes and Heroines
Those of us involved in the raising of children
know how important it is for us to set an example for our children. Children
need this but they
also need more than this.
They need their heroes and heroines and it
is a sad reflection on modern society that children look no further than
pop or film stars to satisfy their needs.
It
is important, therefore, that through the curriculum children can
study people worthy of their admiration and respect. If we accept
the above stages we begin to see this need taking form in children
around the age of 7 and 8, and so it is crucial that appropriate
topics are introduced at this stage.
In one sense children are moving from one type
of consciousness to another.They pass from a world of imitation to one
of pictorial representation. From a world dominated by “action orientated” behavior
we find that the childs'behavior is influenced to a very great extent
by the affective, namely feeling orientated.
Prior to this, children's sense of right and wrong is based, to a very great
extent, on what pleases or displeases mother or other adult. At around 7 a
change takes place and children start to develop an inner feeling for what
is right or wrong.
This
is a crucial time for their ethical development and children
should hear stories which stimulate their imagination.Through such
stories children are able to experience two human traits or characteristics
that are part of human life. These are tolerance tempered with humor
and also a deeply felt reverence.
These could never be understood by young
children through their cognitive faculties, and yet they are intensely
felt if they are experienced through the imagination. Instead of being
impressed by the wealth or exploits of a current “pop star” children
are stirred through their imagination by wonderful tales of courage,
humility, compassion, and fortitude.
What the Future
should be: A Model to Examine Teaching
Previously we saw how education can
be divided into three distinct areas by answering three questions,"Why
is it taught?", "What is taught? and "How is it taught?"

Many educators and psychologists have described various stages through which
a child develops. Probably the most well known is Piaget, but Bruner, Erikson
and Steiner are others. The stages of development described by Erikson, Piaget
and Steiner indicate areas of agreement.
These stages are accepted by educators.
The problem is that the major educational decisions are made on a political
basis not an educational one. Also that the people making these decisions
ignore the findings of these respected figures who have made their life
study how we grow and develop.
The second question, "What is taught?" requires content or curriculum. If we
accept the stages described by Bruner, Erikson, Piaget and Steiner it follows
that we should formulate content which is appropriate for
each stage of development. It follows that the appropriate time for teaching
subject areas is determined by the stage of "all round development" (which
includes both affective and intellectual understanding), and not simply by
the stage of cognitive development.
It is not merely a question of "are
these children ready to learn this?" but more a question of "what will
feed the inner nature of the child at this stage of development?"

To answer the third question, "How is it taught?" we need a methodology of
teaching. Our approach suggests the ways in which various subject areas should
be presented to children, and it offers guidelines on how the school day should
be structured.
Some of this is based on an examination
of the personality or temperament of children and teacher, and encourages
teachers to prepare their lessons so as to appeal to children of different
temperaments. Some is based on the acknowledgement that a child is not
a miniature adult, but lives in a world which has a unique quality.
Teaching therefore needs to follow a
path through this world, starting in the imaginative and creative realm,
moving to action and practical expression, and finally reaching the cognitive.
In doing so it is a methodology which takes into account left and right
hand brain activity.
What teachers have to say about our Lessons
and Newsletters

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visited your website and am I thrilled. Please send me your newsletter.
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Hi Joyce and David, Thank you so much for the opportunity to be in on the newsletter.
I am thrilled and so are the teachers that are in our school. You are doing
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there. You and your wife are brilliant. I wish you both the best. Your 6th
grade with math is amazing. I wish you both the best. Warmly, Michele M.

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or at least humanity surfacing these days that this is truly light in the darkness.
I'll keep you in my prayers as I have been doing and know my deepest desire
for you both is success in this wonderful work you do. Margaret Pyne

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