Author: pkrafel
Just learning how to play with all of this.

Probabilistic Shifts – Cairns #76

Alysia helped me realize that I need to describe “probabilistic shifts”, a term I use to describe a certain thought pattern that plays an important part in the way I think of the world. The term came from the way

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The Width of Water – Cairns #76

Both my editors thought I should drop this section but this is me practicing how to communicate part of an idea that I am still wrestling with that I believe might become important. Feel free to skip over it at

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Cranes Calling Overhead – Cairns #76

A couple of weeks ago, a flock of about one hundred sandhill cranes, heading north, circled low over the school for fifteen minutes. I announced it over the PA and most of the Chrysalis classes came outside to watch. To

Scientific Notation and the Size of the Universe – Cairns #76

My eighth grade math class got to the mathematics of scientific notation, especially how huge multiplication problems can turn into simpler additions of exponents. When the curriculum shifted over to addition with scientific notation, a deviation from the students’ expectations

8th Grade Analogies – Cairns #76

Years ago I read an article stating that all the pre-college tests like the SAT were not correlated with achievement in college and beyond. Only one test did predict it and that was the Miller Analogy test. Perhaps analogical thinking

Cairns #76 – End of the Long Nights, 2014

Probabilistic Shifts Alysia helped me realize that I need to describe “probabilistic shifts”, a term I use to describe a certain thought pattern that plays an important part in the way I think of the world. The term came from

Cairns #75 – Afraid of Children Walking in the Redwoods

Helping turn the prow of our entropyship, the Earth, back upstream so that Earth’s evolving consciousness may explore the vast headwaters of the Universe for billions of years to come. Cairns #75 – Beginning of the Long Nights  I feel

Cairns #74 – Scree

Helping turn the prow of our entropyship, the Earth, back upstream so that Earth’s evolving consciousness may explore the vast headwaters of the Universe for billions of years to come. Cairns #74 – End of the Long Days, 2013  

Cairns #73 – Koans

Helping turn the prow of our entropyship, the Earth, back upstream so that Earth’s evolving consciousness may explore the vast headwaters of the Universe for billions of years to come. Cairns 73 – Beginning of the Long Days, 2013 Taking

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Cairns #72 – Reading the Teacher

Cairns #72 End of the Long Nights – 2013 My mother died this month She lived a life of smiles and grace up to the end at 95. If I had to tell only one story about her, it would

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