www.whyslopes.com

Entrance Level
Pages for Students and Teachers

Site Entrance
1. Arithmetic How-TOs
2. Algebra How-TOs
3. More Algebra How-TOs
4.  Beginner Geometry
5.  More Geometry
6. Calculus How-TOs
7. Logic How-TOs
8. Complex Numbers
Ends & Values
How to Improve Marks
Math Tutoring
Site Map
Site Reviews
Site Search
Vol 1, Elements of Reason

Proper notation & format 
makes the hard easier.

More Entrance Level Pages  

Applied Maths Program K1-12
Book Orders
Cafe Logos
Grades 7 to 12  Math Guide
Permissions
Privacy Policy
Math Cafe
Math Ed. References
Raising Standards
Sec I, Teaching Ideas
Sec II , Teaching Ideas
Sec III, Possibilities
Preparation for Calculus
Technical  Site Map

Show a student how to learn and that helps one. Show a teacher or  tutor how to make skills and concepts easier for students and that helps many. 

Miscellaneous

Your IP Address  & how to use it

Our Neighbours

Logos Cafe -- more than arithmetic served here.

Appetizers -- eat on your feet

If one is not to your taste, try another. Gluttony is recommended.

1. Arithmetic -- fare for starters.
2. English Lemons or French Garlic-- flavoured algebra for two tongues. The lemon is larger, but not bitter.
3. What is a Variable. Here a huge appetizer which shows how to talk about number and quantities before algebra or the shorthand role of letters and symbols begins.
4. Skiing - A Visual Interpretation of  Slopes --- What can be visualized before priming functions and starting calculus.
5. Skiing - Visual Interpretation of Slopes and a Calculus preview with the aid of factor polynomials alone or in rational functions.  
6. Complex Numbers -- the second imaginary platter (zero and negative numbers provided the first). Applet action is available.
7. Which founder of calculus never held an university post? Answer.
8. Which founder of calculus thought more highly of proofs with geometry before coordinates than algebraic proofs? Answer. Why have times changed? Answer.

Just Desserts from Logic

There is more to mathematics than just doing arithmetic. 

1. Two Logic Puzzles -- your egg and five questions twice over, lemon flavored. Available in Garlic flavour too.
2. Chains of Reason -- for sluggers.
3. Longer Chains of Reason -- for romantic types who like to climb ladders with accessible steps.
4. Islands and Divisions of Pattern Based Thought --- an Euclidean model for thought, in separate heaps, perhaps.
5. Deception - apart from white lies or diplomacy, not recommended all the time.
6. Pedestrian Fare -- for future safe returns.

Old Main Courses 
take-out available. 

• 1. Elements of Reason -- a well-titled combination dish given its intent, but in retrospect with a title too flat or too rash for Euclidean connoisseurs. Another name should have been found.
• 2, Three Skills for Algebra -- a logic and algebra breakfast.
• 3 Why Slopes and More Math  -- an algebra, trig and calculus/analysis dinner.
• 1A Pattern Based Reason -- a math-free supper with implications and some persuasion. 
• 1B,Mathematics Curriculum Notes -- a vision or hallucination for mathematics education.

New Main Courses
table-service only

•  Students at all levels may learn algebra with the aid of a crutch: A three column method for Solving Linear Equations with proper and improper fractional operations on Stick Diagrams. Fraction sense and skills are needed in calculus and  senior high school mathematics. 
• Fractions,  Ratios, Rates, Proportions   & Units - An assortment of lessons that may clarify concepts for instructors if not students. 
• Calculus Introduction
• Calculus Preparation for Page - 100 hours 
• Euclidean Geometry Introduction
• Quebec Maths Education, Here are three ways to ease or avoid this disaster: (i)  to send your teen or child out of the province, (ii) send your teen or child  to an international school which does not follow the Quebec Curriculum, or (iii) get professional assistance from the site author.
• Number Theory  Fresh baked ideas for developing numbers from tally sticks and geometric principles in a way accessible if not pure
• LaTeX2HotEqn - great idea, not yet used at this site.
• Solving Linear Equations with Stick Diagrams - a method for teachers, tutors and parents to introduce algebra and point to the use of fraction after fractions
• fractions - more methods for teachers to introduce fractions, ratios, proportionality, ratios and the role of units in proportionality calculations. 

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Road Safety Message  Do not walk on a road with your back to the traffic - rule of thumb
Please report by email,  errors in mathematics or grammar or terminology to site author
If a mathematics topic you need is not covered in site pages,  report that as well. Topics in most demand
will be covered first in site growth.  

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The Rest © 1995 onward by site author,   Alan Selby,  All Rights Reserved. 
The site author offers live skill development lessons online