For a Leaner Curriculum

Appetizers and Lessons for Mathematics and Reason (www.whyslopes.com) \|\|Définition d'une variable \|\| Algèbre \|\| Arithmetique \|\| Logique \|\|La raison basée sur les règles et modelés\|\|
Online Volumes 1, Elements of Reason. 1A. Pattern Based Reason 1B. Math Curriculum Notes 2. Three Skills for Algebra 3. Why Slopes & More Math (Optional Book Orders)	More Site Areas 1. Help Your Child or Teen Learn 2. Solving Linear Equations 3. Fractions Ratios Rates Proportions & Units 4. Euclidean Geometry 5. Analytic Geometry/Functions 6. Number Theory. 7. More Calculus	More Site Areas 8. Complex Numbers 9. Qc Maths Education 10. Secondary IV(?) maths 11. Real Analysis 12. LaTeX2HotEqn: 13. Electric Circuits Etc 14. Français 15. Algebra, Odds & Ends, Etc	More Site Areas 16. Math Education Essays 17. Telling & Working with Time 18. Maps, Plans & Drawings 19. Quantitative Skills for home, shopping and work 20. Statistics Useful, or Not. Test the Twiddla Whiteboard
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For a Leaner Mathematics Curriculum

Terminal Courses: The knowledge that a mathematics courses might be the last one seen by a student could dictate its form and content. The course objective would be develop practical skills and confidence, and so provide a favorable last impressions and hence an invitation for further studies in mathematics or quantitative disciplines. What we want are courses designed without the expectation of continued studies that none the less include an invitation for continued studies by building skills and confidence and by providing information clearly useful (engaging) for pupils.

The site page describing a lean mixed mathematic curriculum for secondary mathematics to or before calculus or including calculus begins with three aims to set for students and ideas on how to meet those aims in two steps or levels. The same page continues or ends with the good yarn or story theory of knowledge, and a description of the social and empirical construction of mathematics.

In this lean curriculum, an impure, mixed mathematics, geometric development of complex numbers with the assumption of their field properties, simpler than you think, demystifies the discussion of complex numbers and the law of signs, while easy consequences makes vectors and trig easier to understand and connect. The coverage of complex number may begin with or shortly after the explanation of rectangular and polar coordinates, and alongside analytic descriptions of rotations, translations and reflections in the plane.

The simple introduction of complex numbers gives a base for the use and further study of mathematics in technical disciplines (think of electricians with their phasors) and in science and engineering disciplines where the complex number approach to trigonometry simplifies calculations. If an earlier introduction is not favored, the simple introduction of complex numbers can be introduced at the start of unit circle trigonometry.