Waldorf table puppets have to be one of the most powerful things I have ever taken into my teaching practice.  They are simple standing puppets.  People make them in a variety of ways and materials.
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This table puppet is a part of a late spring Nature Table.  She is made of wool felt.

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This table puppet is made of roving and sits as a little scene in a kindergarten.

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Here are two table puppets made by a sweet teacher in my Waldorf training.  It is Grandfather and Granddaughter.

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Carol would tell the story of Grandfather and Granddaughter.  It was an ongoing story.

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Here is a simple knitted table puppet.

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Here is another wool felt puppet.