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…]
Geometry
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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…]
Logic of ruler and compass constructions
This paper introduces Euclidean Constructive Geometry (ECG). ECG is a field of modern mathematics that is based on the traditions of ruler and compass geometry that emerge from the ancient Greek geometer Euclid. This type of mathematics is unique in that is emerges directly the basic categories of space and time. ECG relates directly with [Read more…]
A protocol for messaging to extraterrestrial intelligence
This paper presents policy considerations about messaging extraterrestrial intelligence, generally through radio waves. The authors summarize the history of radio-based messaging of ETI. It provides a general and high-level overview of the topic.
[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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