Appetizers and Lessons for Math and Reason
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Alan Selby  
Logic Appetizers to test or or improve reading, writing and thinking skills, with definitions, concepts and proofs in many subjects (Chains of Reason; One or TwoWay Implications; Islands & Divisions of Knowledge; Deception); Advice (How to Study Maths and Why; What to Do in School and Why; What to hope for in the classroom; On Problem Solving; Maths Learning CheckList; Road Safety message); For Parents & Teachers (Helping your Child or Teen Learn; Helping your child With Maths; Understanding Decimals). Math Lessons: Arithmetic and Algebra Review Problems (includes a 20 by 20 times table); What is Algebra? (on algebraic thought); What is Calculus? (why slopes are met in high school, ad nauseam); What are complex numbers? (how to add and multiply vectors in the plane  see also growing number systems, links to trig, and a Complex Number Applet); When the greater than sign should be called the more positive than sign (a misnomer explained); Pythagorean Theorem (the Chinese proof based on a square divided); and Painless Theorem Proving. A version in French is also available.  


Levels:  Elementary, Middle School (68), High School (912) 
Languages:  English, French 
Resource Types:  Lesson Plans and Activities, Problems/Puzzles, Link Listings 
Math Topics:  Basic Algebra, Arithmetic/Early Math, Multiplication, Imaginary/Complex Numbers, Calculus (Single Variable), Triangles and Other Polygons, Logic/Foundations, Philosophy 
Math Ed Topics:  Teaching Issues/Strategies 
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