This paper focuses on geometric intuition and mathematic education. Geometric reasoning is based in intuition and imagination. One must be able to visualize geometric figures and imagine their manipulation in order to perform geometric reasoning. The authors point out that geometric intuition can be intentionally nurtured through a series of tasks. Often students will feel [Read more…]
Western Esotericism
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The primordial mandalas of East and West: Jungian and Tibetan Buddhist approaches to healing and transformation
This paper provides a cross-cultural review of mandalas, which are circular figures used in psycho-spiritual practices like mediation or imagination. The mandala bridges is both an archetype of the self and a fundamental object in constructive geometry, which may bridge the objective and subjective phases of consciousness. Both Western and Eastern use of the mandala [Read more…]
The” committee of sleep”: A study of dream incubation for problem solving.
This paper presents the results of a study with undergraduate students about dream incubation and problem solving. Dream incubation is the process of intending to have a dream about something. Traditionally, people would intend to have a dream of healing, insight, or transformation, for example, in the ancient Greek healing temples of the dream god [Read more…]
Mysticism in the history of mathematics.
This paper the history of mysticism and mathematics in the West. There are a number of notable mathematicians who also experienced mystical phenomenon. Abraham noted several types of mysticism including: entity communications, mathematics as the universal language, and dreams. Examples include Socrates, Descartes, Dee, Newton, Ramanujan, and others. Some SETI theorists suggest that a test [Read more…]
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