Here is the link to the Wikipedia article on this topic.

The Wikipedia article makes no distinction between levels of activity, for example, idle amusement versus study, nor does it bring in the effect of inertia to the discussion. Choosing idle amusement over study not only means loss of that amount of intellectual development, but also brings an increase in the propensity to make a similar choice in the future. (Hence the advice, “Don’t have any fun until you’re fifty.”, and the advice, “Lead simple lives, so that you may do complicated mathematics.”)

keywords:

[Economics]

[utility]

[progress]

[advancement]

[continuous improvement]

# Month: April 2020

# the periodic table of chemical elements

Here is the link to the Wikipedia article on this.

keywords:

[Chemistry]

[Science]

[periodicity]

[patterns]

[rows]

[groups]

[atomic number]

# article, with videos, on the Beatles: All Those Years Ago, by Anup Anand Singh

Here is the link.

keywords:

[music]

[nostalgia]

# article: SUBJECTIVE RATIONALISM IN LIBERAL ARTS MATHEMATICS, by Gary A. Wenger

a quote from the article:

“I define subjective rationalism as the practice of deductive reasoning, while attending to matters of probability and personal preference.”

— Gary A. Wenger

(suggested new terminology)

I would like to suggest the term ‘Wengerism’ for ‘the practice of deductive reasoning, while attending to matters of probability and personal preference’.

keywords:

[education]

[instruction]

[training]

[teaching]

[learning]

[study]

[curriculum]

[educator]

[unfiltered feedback]

[probability]

[personal preference]

Note: The document downloads automatically, so I’m not giving any url for it.

(Also: There is also a related book available on Amazon.)

# Pascal’s Triangle: A Scaffolded Approach

Pascal's Triangle: A Scaffolded Approach

keywords:

[Mathematics]

[instructional materials]

[curriculum]

# Number Guru (Reverse Phone & Text Lookup)

Here is the link.

keywords:

[unknown caller]

[mystery]

# teaching of elementary mathematics

“The human mind is so constructed that it must see every perception in a time-relation—in an order—and every perception of an object in a space-relation—as outside or beside our perceiving selves. These necessary time-relations are reducible to Number, and they are studied in the theory of number, arithmetic and algebra. These necessary space-relations are reducible to Position and Form, and they are studied in geometry. Mathematics, therefore, studies an aspect of all knowing, and reveals to us the universe as it presents itself, in one form, to mind. To apprehend this and to be conversant with the higher developments of mathematical reasoning, are to have at hand the means of vitalizing all teaching of elementary mathematics.”

— Nicholas Murry Butler

cf:

“Nothing is of greater importance than the early instruction of youth.”

— Peter Stuyvesant

keywords:

[education]

[instruction]

[training]

[learning]

[study]

[curriculum]

[educator]

# online book: Mathematical Excursions to the World’s Great Buildings

(345 pages)

Here is the link.

This book contains an introduction to Calculus, and a Glossary of Architectural Terms.

Chapter Headings

1. Humanity Awakening: Sensing Form and Creating Structures

2. Greek Geometry and Roman Engineering

3. Architecture Inspired by Faith

4. Transmission of Mathematics and Transition in Architecture

5. The Renaissance: Architecture and the Human Spirit

6. A New Architecture: Materials, Structural Analysis, Computers and Design

7. Basic Calculus and Its Application to the Analysis of Structures

keywords:

[geometry]

[survey]

[tour]

# the derivative

the derivative

[Mathematics]

[Calculus]

[limit]

[rate of change]

# obtaining the tangent via the secant

obtaining the tangent via the secant

keywords:

[Mathematics]

[Calculus]

[limit]

[Geometry]