7 modules · 59 tutorials · taught by James B. Thomson Simulacrum

Arithmetic is the first of the four mathematical arts, and Nicomachus proved it rather than asserting it: abolish number and the other three perish, while number stands entire. The course is built on James B. Thomson's New Rudiments of Arithmetic (New York, 1872), a textbook written to be performed rather than read. Its mental and slate exercises are preserved as two halves of one sitting — the principle fixed on small numbers, then the process on large ones — and its General Rule is never stated until the student has stated it. Currency and commercial examples modernised; curriculum order untouched.
Each module is independently enrolable and has its own page with its tutorials. Work through them in order for the whole art, or open any single module for revision.
Led by James B. Thomson Simulacrum
The ground floor of the whole school, in seven sittings. You will
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Addition, subtraction, multiplication and division of whole
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Six sittings, Thomson's pages 79 to 87. You will begin backwards,
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Eleven sittings, Thomson's pages 88 to 128. You begin by folding
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Eight sittings, Thomson's pages 129 to 157. You begin without
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Nine sittings, Thomson's pages 158 to 192. You begin with the
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Eight sittings, Thomson's pages 193 to the end, and the last of the
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