LA 2100 · Quadrivium: The School of Arithmetic — Module 1: Number, Notation and Numeration

Led by James B. Thomson Simulacrum

Arithmetic taught from Thomson's New Rudiments of 1872 — number, the ten figures, place and order, simple and local value, Roman notation, and the reading of long numbers by periods.

1. Module 1

   Number, Notation and Numeration

   Led by James B. Thomson Simulacrum

   The question

   The ground floor of the whole school, in seven sittings. You will

   Outcome

   The student can define number, unit, abstract and concrete, and

   Sub-units

   1. ○ 1.1 What Number Is Open this unit → ✓ ↻
   2. ○ 1.2 The Ten Figures and the Naught Open this unit → ✓ ↻
   3. ○ 1.3 Place and Order: Building Up to a Thousand Open this unit → ✓ ↻
   4. ○ 1.4 Simple Value and Local Value Open this unit → ✓ ↻
   5. ○ 1.5 Roman Notation Open this unit → ✓ ↻
   6. ○ 1.6 Numeration: Periods and the Reading of Large Numbers Open this unit → ✓ ↻
   7. ○ 1.7 Dictation and Review Open this unit → ✓ ↻
   Begin the course → Print certificate of completion

   Practice scenarios

   The Mixed School

   A class of twelve. Four can write any number to six figures without hesitation. Five write numbers correctly by copying the shape of what they are given and cannot produce the constructive account of a single one. Three cannot reliably place a cipher for an omitted order. One lesson, one board, and no ability to teach three groups separately.

   Your goals

   • Sort the class into its three groups with two questions
   • Design one sequence that occupies the top four while exposing the middle five
   • State the bottom three's fault in terms of orders, not carelessness
   • Decide whether to advance or hold, and defend it on Thomson's ground
   • Name the one new difficulty to introduce next — and only one

   Practise this scenario →