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

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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.
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YOU are better than YOU think. Show yourself  how:  

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Read  logic chapters 1 to 5  in online volume Three Skills for Algebra  for greater skills & confidence in  work 
and study

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 Logic chapters 1 to 5  re- appear not in sequence, as is or longer,  in  Volume 1A,  Pattern Based Reason, Bon Appetite.

Logic Mastery
 Amazing, Amusing, Amorous,  Delicious, Delightful, Edifying, Strengthening Elixir. 
It eases work & learning difficulties Makes the hard easier. Opens eyes. Leads to greater precision.
in reading and
writing

Logic mastery makes the hard, easier. Logic mastery  leads to better, stronger and richer comprehension.  Logic mastery  improves reading and writing.  Logic mastery ease learning difficulties.  Logic mastery gives a headstart.  In sum, 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 liinear Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes  & More Math, chapters 2 to 6;

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Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought

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What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts.


Try the Twiddla Whiteboard. In principle, it  allows to people to draw and chat together online on a copy of this webpage or a clean sheet. The chat may be via text or audio.  Visit www.twiddla.com to set up whiteboards to work with the webpage of your choice.

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.

Books & Websites for Mathematics students 14 to adult

For the last years of high school and the first years of college, site directories on three skills for algebra, geometry and calculus at this website point to material your child or teen should learn.

 The mathematics videos review, cover or introduce algebra, arithmetic, logic, geometry, trigonometry, complex numbers and calculus (why slopes). These videos are intended for students, 14 to adult, and teachers at all levels.

Future developments at this site may include problem sets, exercises and so forth, if economics justify this.

 Suggest that your child or teen to read each word, each sentence and each example in given class notes or textbooks. Provide help or feedback while you can.


Barron's Educational Series

The company Barron's Educational Series, Inc., ( www.barronseduc.com ) has a series of books on mathematics
  1. Arithmetic the Easy Way
  2. Algebra the Easy Way
  3. Business Mathematics the Easy Way
  4. Calculus the Easy Way
  5. Geometry the Easy Way
  6. Statistics the Easy Way
  7. Trigonometry the Easy Way
which could serve as presents for your child or teen, 14 to adult, before the corresponding course begins.

But your child or teen may lack the interest or inclination to look at reference works or different viewpoints. Many have the great expectation that the mathematics teacher for his or her class knows what is to be learnt and how to best present it.  

Beyond this intelligence comes from the willingness to learn and the struggle to learn. Those that learn easily, that is without thought, may have good memories but little intelligence. 

More References

  • For students 10 to 14, and even older, there is a fun website www.xpmath.com with online games, books and exercises to develop or review or test thinking and reactions skills in fractions, algebra, geometry, etc. 

  • Two sites Maths is Fun and Math League Help Topics appear to be for ages 9 to 14 say, site PURPLEmath appear to be for ages ages 10 to 15; and site SOSmath.com site is for ages 16 to adult. Two or three views of topic from different authors site put together may be clearer & more informative than one.Explore all to find examples & explanation to help yourself or someone in your care master mathematics, etc.

  • Kyrgyz-Turkish High Schools Mathematics Pages -Here is a excellent sequence of pdf files for grades 7 to 11 going from arithmetic to calculus. Looks very complete and is well-formatted. Jealously go away. Here is a great resource for teachers and/or students.Includes Review Exercises.

  • The BBC - Learning - Maths page includes links to other subjects in its right margin, and links to the following BBC websites:AS Guru Maths focuses on the most difficult areas of the core curriculum; GCSE Bitesize Maths, a guide, with interactive tests on algebra and geometry;. Key Skills - Application of Number - Improve your maths skills and get a college qualification; Skillswise - Numbers, A site for adults who want to improve their basic maths skills. World Service - Figure it out - Find out from the experts how maths can be used to explain the world around us. (site descriptions quoted or paraphased from BBC learning maths page).

  • Let's Review Math A and Let's Review Math B, ISBN 077641-2296-7 & -8, from the Barron's Education Series, Inc (www.barronsregents.com) are clear and definitive aids for high school mathematics in New York state, and possibly the rest of North America. (the last title echoes a who should read this book at the start of A and B.): Level: High School

  • Mathematics from the Birth of Numbers, 1996, 950+, by the late Jan Gullberg, is an excellence resource forpupils and instructor in college and the upper years of secondary schools. ISBN 0-393-04002-X. The book is a work of love by its author, highly recommend as gift for any one with a strong interest in learning or teaching mathematics.  Level: Calculus and Beyond

  • The VNR Concise Encyclopedia of Mathematics by W. Gellert, H. Küstner, M. Hellwich & H. Kästner, Van Nostrand Reinhold Company, 1975 (or 1977). ISBN: 0-442-22646-2 (hard cover) and ISBN:0-442-22647-0 (paperback). Copy right held by a corporation whose sense of public service does not exist or is insufficient to put this work back in print. Used copies are available via Amazon and equivalent online book sellers and reseller services.  Level: Calculus and Beyond.

 

www.whyslopes.com
Help your Child or Teen Learn:


Area Intro
1. Speaking Skills
2.  Reading & Writing
3. Preparing for Science
4. Learning Takes Time and Effort
5. Math Books: kids & teens
6. Math Books: teens & adults
7. Readings for  Parents
8. Patience Please
9. Who is in Charge
10. Motivation
11.  Will to Learn
12. Math K1-20
13. Links For Parents
14. JumpMath WorkBooks
15. Discipline in Schools

Maths for Ages 5+



D What to do in School & Why  

E.How to Study Mathematics


To read, write and spell, your children need to learn and memorize the alphabet. Anything less would be absurd. That being said, learning and using mathematics demands that your children meet key skills and concepts, and not skip any. Where local schools do not provide the latter, you need to provide remedies.

Care and Precision: If your child  can learn to follow multi-step methods carefully and precisely in arithmetic, he or she may do so  in other subjects, as well. Get your child or teen, if you can, to sit down and study. Suggest he or she aim for skill and concept development and perfection for their own sake, not that of their teachers.

The will to learn is the key to success in school.  Parents do have to be educated to support or guide their children and teens. What matters more is support for the will to learn, for children and teens to be  told to try to learn and to ask teachers, their schools or classmates for help and more help, as needed. Teachers and parents need to push students, help them find the will to learn, teamwork helps.

The main reason and focus for high school mathematics is or should be preparation for calculus. That requires skill and knowledge perfection with fractions, algebra, geometry, trig and functions. Many high school programs do not provide this. Make sure alone or with help that your children and teens have a good command of fractions. 

 

 



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a 1983 McGill. Ph. D. in mathematics
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