<%@LANGUAGE="VBSCRIPT" CODEPAGE="1252"%> 14Mar04_sdei

The Teachers' Education Institute


Contact: Dr. David L. Mollet  tel/fax (619) 463-1270   email: tei@cox.net
6656 Reservoir Lane, San Diego, CA 92115


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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Just visited your website and am I thrilled. Please send me your newsletter. Maddy Reed, High Point, NC
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I am a Special Needs teacher in the Swansea, MA public school system and I LOVE your site. Janet Rausch
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Keep up the terrific work. I eagerly await each newsletter. Hazel James, Victoria Park, Western Australia
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This looks fantastic; I cannot wait to get my first newsletter. I downloaded the past issues from the web-site. They contain some great lesson plans! Sincerely, Michelle Auldridge
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I would like to subscribe to WER newsletter. Thank you for your wonderful ideas. Amy George
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I am sorry I did not find you sooner. I find these ideas soundly based and such an incentive to create other lessons based on your patterns and style that I wouldn't want to miss any morsel of creativity, information or technique. I feel I have been in an educational wilderness regarding this area. So you can see why I treasure what I find here. Please let me know if I am taking advantage of all the possibilities. I am looking forward to being able to spread your wonderful words and that they discover the wealth you have given. Thanks! Sue Pyn
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Thank you for the exciting newsletter. I will share this with other teachers. This is nothing short of FANTASTIC! Kudos to you and everyone involved in this. Sincerely, Kevin Sligar
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What a fantastic site you have. I’m going to pass the information to my school board. R. Michaud, Toronto
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A great site, very impressive and a great aid to professional development of teachers. Well done. Bob Worth
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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 a valuable service by providing the lessons for us. We would like to thank you in advance for all your hard work. Janice M. Biscoe, Assistant Principal, Wellsboro, PA 16901
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One of my clients is a teacher, and I sent her your URL. She was so impressed, that she forwarded it to every teacher in her district! Take care, Sarina McDonald, Seattle, WA.
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Terrific information and wonderful activities! I look forward to receiving your newsletter and I am sure the content will prove invaluable to me. Thanks! Sincerely, JoAnne Morris
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Hi, I will order this curriculum. It's the best thing I have ever seen out 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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Thank you for your wonderful resources! Linda Raas
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This last newsletter with the hunger address said volumes. I am so proud of subscribing to your publication. I have shown the site to my husband and he is going to take it to work and do all those complex things that systems analyst know how to do to spread the word and I'll take it to work too. God keep you and support you in your marvelous work. There is a real shortage of humanity 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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