AU: tutorfinder.com.au CDN : findatutor.ca CDN: .i-tutor.ca CDN: Montreal Tutors NZ: findatutor.co.nz UK: tutorhunt.com UK: tutors4me.co.uk USA: wiziq.com USA: ziizoo.com |
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YOU are better than YOU think. Show yourself how: |
-/[]\- Logic
Mastery Do not leave here without it - Logic mastery will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck. |
-/[]\- After logic, (a) continue reading Three Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving linear2007 Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes & More Math, chapters 2 to 6; For online automated help in senior high school maths & calculus, visit quickmath.com For Automatic Calculus and Algebra Help with derivatives, integrals, graphs, linear equations, matrix algebra, visit calc101.com With overlap, each site quickmath & calc101offers a different range of services, some free, some not, all based on webmathematica. Good luck. |
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History of Numbers and Algebra
Young and Younger Numerical Knowledge
Numbers have not be known forever. Algebraic and geometric reasoning has been used to develop our conception of them beyond whole numbers and the use of fractions.
- Zero was possibly a tenth century invention - who needs a symbol to denote nothing?
- Before the late 1500s, calculations involving negative negatives were regarded with suspicion, considered to be imaginary. Calculations involving them might be done in private but would be reformulated with positive numbers before any public appearance. Negative numbers became publicly acceptable, at least for mathematical scholars, towards the end of the fifteenth century. But even today, accountants use parentheses in their reports to higher management and in company annual report to avoid the appearance of negative numbers. Negative numbers are still not completely accepted :)
- Then once negatives had been accepted as real and not just imaginary by mathematical scholars, their square roots were still regarded as imaginary or figments of the imagination. The identification of complex numbers with points in the plane due to Gauss, Argand, Wessel and others in the 1800's made these figments of the imagination real.
| www.whyslopes.com Algebra, Odds & Ends, |
Odd and Ends, Essays
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In Volume 2, Three Skills for Algebra, Chapters 8 to 14 and postscript What is a Variable point to a greater & clear use of words in algebra. Chapter 14 introduces a 4th skill for algebra, an elaboration of the third: - The direct and indirect use of formulas, numerically and algebraically, is unifying theme that should be mentioned aloud, with words, in each and every use of formula.