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
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5. Analytic Geometry/Functions 
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Try the
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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.


Reading and Writing

For Reading

Your young child needs to master the alphabet and recognize the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. You can use cue cards (or pieces of paper) with these letters and number written on them, and ask him or her to identify each symbol as it shown. An erasable surface may serve instead for the writing of symbols to be recognized. Turn the mastery of these symbols into a game.

Cue cards can also be used for the expression of short words, three letter, then four letter. Explain that every words can be written with letters, and every number can be written with words or digits. Short stories with short words can be read with your child. Here your child can be encouraged to read the stories aloud with you. You can also challenge your child to read the words silently, that is, with mouth closed and no lip motion.

When you child starts reading ahead of where you both are, then it is time for him or her to read alone. But from time to time, you should ask your child or teen to read aloud a passage or two, to check and practice the ability to read aloud. Confidence here needs to be encourage from elementary school to the end of high school, and even college. Your child should not be embarrassed to ask you to listen to a passage being written for you to provide critical,  not too critical, constructive feedback. This is part of the learning or teaching process.

For Writing

A child may master reading, spelling and acquire a large vocabulary. Writing requires something to say, a story to tell, instructions to give, or reasons for this or that. Passively reading or listening or watching stories is quite different from presenting stories in written or spoken form. Developing story telling and repeating skills, both written and spoken is suggested.

An essay which is not descriptive presents a perspective or point of view, a chain of reasoning perhaps. In meeting or writing a chain of reason,  knowledge of how to follow, form and criticize chains of reason is required. 

Read these first chapters on the communication & logic in site Volume 1A, Pattern Based Reason, yourself before bringing them to son's or daughter's attention. The key chapters on logic appear in sequence in site Volume 2. chapters 1 to 5 

Logic mastery (see chapters 1 to 5) and the associated ability to read and write precisely is remedy for learning difficulties in many subject,  mathematics included. So covering the logic chapters as early as possible without alienating your son or daughter is recommended. What hard for a 10 year old may be less hard for a 13 year old and easy for a 16 year old. Have patience.

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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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