Logic mastery strengthens comprehension and so improves home, work & study abilities .
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Notes for Parents (and teachers and tutors)

Webpages 20 onward represents essays in draft form on which way to go in mathematics education, how and why. They remain to be rewritten or consolidated. In the mean-time, comments are welcome. Each level of an art or discipline needs to be described in a manner that is clear and rational to adults, parents and teachers included, who have mastered the art or discipline to that level or beyond.

1. Speaking Skills suggests how to improve the speaking and listening skills of your child.
   

2. Reading & Writing offers ideas for the development of these skills.
   

3. Preparing for science -Teaching a boy or girl to cook or to follow any multi-step method precisely, in a repeatable and reproducible manner, will help in science and all area of work and study.
   

4. Learning Takes Time and Effort: Four Things for a Student to Know. Quote in full of an article from Speaking of Learning that refers back to words at this site, no longer online.
   

5. Patience Please. Reflects the inductive idea that learning takes time. If you see a difficulty, you need to identify the source and retreat before it in order to practice skills that restore confidence and then to practice skills that remove the source of the difficulty. Teaching, tutoring or parenting takes time and patience. Good luck. Nothing is certain.
   

6. Who is in Charge? For better or worse, you the parent or guardian may be the first and longest term instructor of your child. Do your best
   
   Parents and teachers need to say no for small things of little consequence to build and maintain authority to say no for larger matters. Parental authority: ; use it or lose it.
   

7. Student Motivation Here a discussion of the challenge. Not the solution. ;
   
   Students with parents who say mathematics mastery is important, or education in general is important, will ; often have more goals, more will and more staying power in school and college - no guarantees here -but is part of the solution.
   

8. Talk to Your Child or Teen. For many, those without learning difficulties, the will to learn is often more important than ability. Encourage the will. ; That is part of the solution.
   

9. Discipline in Schools: Streaming by Student Cooperation. Societies that want quality education will preserve the authority of teachers in the classroom, while providing safeguards so that the that teachers do not abuse that authority. In the first instance, students may be streamed by their willingness to cooperate with teachers, and then by their academic destination. People with good education will not want to go into classrooms if [A.] student disrespect is a constant danger; and [B] present-day course design in their discipline areas is inconsistent and irrational according to their previous training in the discipline. Uniform standards in education are mixed blessing. While in the first instance they raise standards, over time central planning or bureaucratization may lead to those standards being lowered. In large enough regions, different school systems should develop their own standards, with multiple independent centers for course and curriculum design, each trying to offer a different design, each staff in a way that rejuvenation is continuous or mass retirement in one is not simultaneous with mass retirerment in another.

10. Work & Study Ends, Values and Methods. These appear to be missing in schools.
    

11. Parents Need to Follow & Supervise the Education of their Child or Teen.
    
    If your child falls behind, provide extra help during the school year or during summer vacations. Ask your school for a list of observable skills that it and you should be verify. If there is no list, form one alone or with other parents. If ; there is no list of observable skills, your child school system has no idea where it is heading. It is lost. ; ;
    

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science