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 … Continue reading opportunity cost →

Here is the link to the Wikipedia article on this. keywords: [Chemistry] [Science] [periodicity] [patterns] [rows] [groups] [atomic number]

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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: … Continue reading article: SUBJECTIVE RATIONALISM IN LIBERAL ARTS MATHEMATICS, by Gary A. Wenger →

Pascal's Triangle: A Scaffolded Approach keywords: [Mathematics] [instructional materials] [curriculum]

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“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 … Continue reading teaching of elementary mathematics →

(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 … Continue reading online book: Mathematical Excursions to the World’s Great Buildings →

the derivative [Mathematics] [Calculus] [limit] [rate of change]

obtaining the tangent via the secant keywords: [Mathematics] [Calculus] [limit] [Geometry]