| Welcome to the Norwich Academy | Mathematics (Arithmetic & Geometry) |
A number of courses, subjects and projects are connected to the Norwich Academy mathematics Department. These include basic skills Numeracy classes for adults accredited with the Open College Network (OCN), GCSE classes, Business Studies, Qur'anic Mathematics, Geometry, Bookkeeping & Accounting, and an accredited Running a Small Business programme. There is also a core syllabus in development, some of which is outlined below. We welcome any comments or contributions. Compulsory Modules (arithmetic 1, geometry 1, arithmetic 2) Intermediate Modules (algebra and logic 1) Optional Modules (geometry 2, business calculations, Qur'anic calculations) Contact the Academy/Leave Feedback
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There are four intellectual sciences (the fourth of which comprises geometry): 1 Logic 2 Physics 3 Metaphysics 4 The Mathematical Sciences The mathematical sciences comprise four distinct disciplines: • Geometry • Arithmetic • Music • Astronomy Geometry is the study of quantities (measurements) in general, which may be either discontinuous, inasmuch as they constitute numbers, or continuous (as geometrical figures). They may be of one dimension - the line; of two dimensions - the plane; or of three dimensions - the mathematical solid. These measurements and the qualities they possess, either by themselves or in combination with each other, are what is studied in geometry. (p. 372) For instance: The angles of any triangle are equal to two right angles. Parallel lines do not intersect anywhere, even when they extend to infinity. The opposite angles formed when two lines intersect are equal to each other. Other subdivisions of geometry include: Spherical figures (spherical trigonometry) and conic sections Mechanics Surveying Optics In view of its origin, carpentry needs a good deal of geometry of all kinds. It requires either a general or specilised knowledge of proportion and measurement, in order to bring forms from potentiality into actuality in the proper manner, and for the knowledge of proportions one must have recourse to the geometrician. Therefore, the leading Greek geometricians were all master carpenters. Euclid ...was a carpenter and was known as such. The same is the case with Apollonius...and Menelaus, and others...(p. 322) Geometry enlightens the intellect and sets one's mind right. All its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence. It has been assumed that the following statement was written upon Plato's door: 'No one who is not a geometrician may enter our house.' (p. 378) Our teachers used to say that one's application to geometry does to the mind what soap does to a garment. It washes off stains and cleanses it of grease and dirt. The reason for this is that geometry is well arranged and orderly, as we have mentioned. (p. 379)
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A Possible Mathematics Syllabus1. Compulsory ModulesArithmetic 1Counting, Recognition & Writing of Numbers to 100 Sets of 2's to 10's Odd & Even Numbers Multiplication Tables Hundreds Tens & Units (HTU) to Millions Simple Multiplication, Division, Subtraction, Addition Geometry 1Recognition, Description & Construction of Shapes Introduction to Trigonometry Arithmetic 2 Long Arithmetic Weights & Measures Fractions, Decimals & Percentages Ratio Significant Figures Negative & Prime Numbers Tables & Graphs 2. Intermediate ModuleAlgebra & Logic 1Simple Algebraic Equations, Introduction to Logic, Binary Numbers/System, Permutations & Combinations Common Mathematical Formula, Mathematicians Project, Simple Probability & Set Theory, Mathematical Signs & Symbols Calculus (possibility) 3. Optional Modules
Geometry 2 Introduction (by projects) to: Astronomy, Surveying, Optics, Mechanics, Spherical Figures (spherical trigonometry) and Conic Sections
Business Calculations Qirad, Shirkat (and other contracts), Shares, Bookkeeping Techniques, Business Analysis, Linear Programming, Critical Path Analysis
Qur'anic CalculationsInheritance, Zakat, Solar & Lunar Calculations Possible subjects for Biographical Mathematics Projects • Abu Ali al-Husain ibn Abdallah ibn Sina ( Avicenna ) • Pythagoras of Samos • Euclid of Alexandria • Johannes Kepler • Plato • Gottfried Wilhelm von Leibniz • René Descartes • Aristotle • Ibn al-Banna • Abu'l Hasan ibn Ali al Qalasadi • Al-Faris (Kamal al-Din Abu'l Hasan Muhammad) • Hippocrates • Archmedes • Charles Babbage • Marquis de Condorcet (Marie-Jean-Antoine-Nicolas de Caritat) • Srinivasa Ramanujan • Fibonacci (Leonardo Pisano) • Blaise Pascal • Omar Khan • Al Qarismi (Indian numerals/Kitabul jabr) |
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