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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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
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15. Algebra, Odds & Ends, Etc
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16. Math Education Essays
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20. Statistics Useful, or Not.
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to work online with others.

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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.

 

Parents: Talk to your children and teens. Ask them about their school days. See if they are passive learners - working to rule - doing the least amount possible, or opposing their own instruction. Regardless, encourage your offspring to be  positive, independent, self-directed learners, learners actively and deliberately seeking to obtain and perfect skills and knowledge - alone or with help from readings, tutors and teachers. Teachers may meet dozens or hundreds of students each week, and not the time nor inclination to be personal tutors. So active cooperation with attention to details, the will to listen and try,  instead of passive or overt opposition or resistance to education, will all help your charges in school and out.

Modern education theory calls for instructors to engage, charm and motivate all students through class activities and kindness. While charm is best, charm may not work, or be absent, and your children and teens have decisions to make.  Whether to try or not, to cooperate in their own education is one of them. The proper choice  may be harder when a teacher is not charming but the decision still has to be made. So talk to your children and teens. Ask them about their school days, and guide them if you can.  In raising kids, if you are unlucky,  there may be two difficult even stormy periods or growth (?) spurts - the horrible two's and  the horrible teen years.  Wait for the storms to pass, if you can.  Giving your child or teen the will to learn counts more for his or her education than being well-educated yourself. Students with limited gifts or abilities with the will to learn and to keeping trying  may  go further and deeper than student with many gifts.

 A teenager planning to become a policeman said he did not work at learning mathematics, that he was doing the least possible (in fact less) to pass, since his mother had told him, mathematics after arithmetic was a waste of time.  My late or too late objection to that came as a surprise  - no earlier teacher had done that.  For students to do better in school, they do not need well-educated parents, they need parents who value education and say so repeatedly. While I disliked writing essays and book reports as a teen, had difficulty deciding what to writing, I would not today tell any child of mine that reading and writing skills, and understanding the characters in book or play, is unimportant. With the passage of time, I might have acquired the maturity to do well and avoid the misery of my earlier high school days in expressive, non-deterministic,  subjects. 

 

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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