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

 (Optional Book Orders)
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.
Try the
Twiddla Whiteboard
to work online with others.

[Site Entrance & Hub]Back ] Area Intro ][Site Exit]


YOU are better than YOU think. Show yourself  how:  

      |      
//  _   _ \\
/\             /\
  <|  (o)   (o)   |> 
 \     | |      / 

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

 -/[]\- 
||
   / \_ 
 ||||||||||||||||||||||||||||

 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;

      |      
//  _   _ \\
/\             /\
<|   (o)   (o)  |> 
     | |     |
   \             /   
\    =   /

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

 -/[]\- 
||
  _ / \     
 ||||||||||||||||||||||||||||

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.

Discipline in the Schools: Let the Student Decide

Some school are able to expel difficult students. Then teachers in those school may focus on helping students learn. But many other schools or school boards cannot expel students.  But there is possibility of providing quieter and better schooling for teenage student who decide to cooperate in their own education. That make access to some classes conditional on good behavior. Then let student decide whether or not to meet the condition. 

 How does one in general provide teachers with easier classroom management in public secondary schools and at the same time provide a better and safer school environment for most students? The answer is  Let the student decide, be that alone or with the advice of guidance counselors and parents.

Imagine an instructor Henderson with a subject expertise in say chemistry or physics, and great talent for skill and concept development there-in.  In the school, the principal should be able to tell students, Henderson is a great teacher but to be Henderson’s classroom you have to co-operate and be well behaved. Otherwise, you will be expelled from that class and put somewhere else. Then student in Henderson class will have a good learning environment and a chance to sit down and study. The chance to be in such an environment in physics or mathematics or another subject may drive students to be well behaved. No force is involved.

The stark message that student will be streamed not by academic success, but according to their classroom behavior, could lead - and there is a hope, not a guarantee - for classrooms where learning and not agitation is the main objective. Student will wanting to stay in such classes or be promotion to them will have incentive to behave. The otherwise boisterous student who wants to learn may then decide to control his or her behaviour alone or with advice from the school or parents. Thus firm limits are set. 

The academic environment may gradually become safer and more  engaging as students are forced to decide by this self-imposed streaming to make a choice. The introduction of such streaming may take a few years but as it proceeds students will strive and their parents will lobby for access to the stream noted for student co-operation in their own instruction. Let the student decide.  

Students who decide to behave may be placed in larger groups as classroom management is less difficult with them. That regroupment could release teachers for the small group instruction of the difficult students. We hope that latter are not deliberately difficult to have small group instruction. No scheme is perfect. The instruction of that small group may have to be shared between those teachers able to  manage difficult students. Each teacher is different. There is no need to insist all instructors who works well with cooperative students have the ability to work with the difficult ones at the start of a teaching career. 

In this matter, there will be invariable students who are difficult, who do not see the point of being in school or lack self-control. That is where small group instruction and guidance counselors may help. But there is always hope. The onset of teenage years or puberty is a time of unsettling changes for students in which rationality may not always be present. The teen that is difficult today may become more responsible over time. The growing teen is not on drugs, he or she is on hormones whose effects are unpredictable and whose effects will hopefully reduce over time, so that growing maturity is seen. 

A student who is difficult, there is always hope, may decide later to settle down in order to have the fruits of a safer learning environment. The hope in the foregoing is that students will decide to behave. 

Youth Offenders and Graduated Penalties: There is no magic age at which a teenager should be considered an adult. Instead of saying there is one law for youth and another law for adults, with a sudden change in status at say 18 years of age,  I would recommend a transition period in the interval 11 to 21 say, where  sentencing guidelines for youth are linear interpolated between those applied to  kids who may not know better to those of adults who should. Graduated reaction to misdeeds would set limits on youth who decide to act badly now, and then having escaped consequences, decide to continue to do so.  Some choice, no matter how arbitrarily about the form of graduation or interpolation between reactions to misdeeds of kids and reactions to the misdeeds of adults, could be better than none, or the abrupt transition zone question of whether to try a youth as an adult. That being said, formal and informal judges will still have leeway in deciding appropriate consequences. 
 

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. 

 

 



www.whyslopes.com
[Top of this Page] [Site Exit] Back ] Area Intro ]
[Comments, Reactions, Feedback]
: Favourite SitesBBC News  and mathematics portion of  English National Curriculum  

All trademarks and copyrights on this page are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995 onward by site author,   Alan Selby,
a 1983 McGill. Ph. D. in mathematics
All Rights Reserved.