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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
Section Entrance 1. Speaking Skills 2. Reading & Writing 3. Preparing for Science 4. Learning Takes Time and Effort 5. Patience Please 6. Who is in Charge 7. Motivation 8. Will to Learn 9. Discipline in Schools 10a. Ends & Values (I) 10b. Ends & Values, (II) 11. Ends & Values (III) 12. Parent Role in Math Ed. 13. Math Booklets, Ages 3 to 9 13a. Pre- K Mathematics (?) 13b. Kindergarten Mathematics (?) 13c. Grades 1 & 2 Mathematics (?) 12d Grade 3 Mathematics (?) 14. Math Booklets Ages 10 to 14 15. Math Books: teens & adults 18. BookLets for Pre-K to Grade 8
Observable & so verifiable
skills & standards:
Goals for Math Education Late Primary School Math Skills K 7 Decimal Skill Checklist K7-9 Arithmetic Guide K7-9 Algebra Guide K7-9 Geometry K10-12 For All (we hope) K10-12 For Half (we hope) K10-12 For a Third Counting For Parents Addition Table for Parents Times Table for Parents Work Format Math Tips for Parents
More Standards to come
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For
Senior
High School & Calculus Students
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Words to clearly
introduce algebra and variables
have been missing in course design. For people who cannot do
algebra,
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the missing words may
explain or ease their difficulties. Volume 2 ,Three
Skills for Algebra, in Chapters
8 to 14 & 18 etc, puts words before symbols to
providing the missing words in a way that enrich the
comprehension of all. Those words form the middle part of a algebra
(and logic) lessons aimed at helping or improving all
of high school mathematics and also calculus course
design & delivery.
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For Avid Readers in School & Out -
Online Books
1. Elements of
Reason. 1996
1A. Pattern
Based Reason 1995
1B. Math
Curriculum Notes 1996
2. Three
Skills for Algebra 1995
3.Why
Slopes & More.Math
1995
Tour their forewords.
Calculus Prep or Help: See Volumes 2 & 3,
and this bigger
Calculus
Guide. If your
calculus questions is not answered here, submit
it. Over time, that may complete the site development of
calculus.
For Parents: Speaking
Skills, Reading
& Writing,
Preparing for Science, ends,
values and methods for work and study, parent- friendly maths
skill development booklets for ages 4-14.
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Mostly
For High
School
Intro to Solving
Linear Equations
- a different paths for junior and even senior high
school students. Question for Tutors: When do
you use and when you skip the stick diagram method
here?
Fraction
Skills, thought-based development, Ages 10 to 14 may need a
tutor. Students who have to understand in order
to do may like the development in all or part.
For Senior
High School Mathematics & Calculus
5
wordy Logic
Chapters
4 curious Algebra
Chapters
Words before & besides symbols. A Key Algebra
forward & backwards Chapter
First Calculus
Preview (1st intro)
Four Calculus
Chapters
(2nd intro)
Intro to Complex
Numbers (long)
Intro to Mathematical
Induction (romantic & wordy at first)
Tutors & Instructors:
These lessons introduce skills differently Would you
recommend them?
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More Topics
1. Decimal
Arithmetic Reference!
2. Integers
- Intro to Signed No.s
3. Fractions
- fully explained.
4. Fractions
with Units
5. Number
Theory,
6. Solving
Linear Equations
7 Formulas
for- & backwards -
8. Proportionality,
Back- & For-wards.
9. Logic
Chapters:
10. Euclidean-Geometry
11. Slopes
& Equations of Straight Lines. (Take
I. See take II below)
12. Why
Study Slopes.
13. Maps,
Plans, Similarity & Trig,
(Take II included here)
14. Quadratics:
Starter lessons
15. Polynomials:
Starter lessons
16 Why
Factor Polynomials:
17 Functions
- Forwards & Backwards.
18. Exponents,
Radicals & logs.
19. Complex
Numbers before trig (new advance/ starter lesson)
20. DC
Electric
Circuits Etc
21. Real
Analysis
22. The
Olde Complex No, Trig
& Vector Section.
23. More
Calculus Stuff
- written after Volumes 2 and 3.
Level I Material: New Stuff
Time and Date Matters
Level I Arithmetic.
Money Matters
Measurement Matters
Matters of Chance (Risk Control)
Logic
Chapters
(leave what's not clear in Level I to Level II)
Using/Making Maps and Plans.
(A variant of
Maps,
Plans, Similarity & Trig, to
appear here).
For Instructors
-
Education
Essays
(opinions,
possibilities, references)
- Free
Advice and Directions for teaching primary & high school maths
will be given in online meeting place with voice &
whiteboard.
- Math & Logic How-TOs
1. Arithmetic
2. Algebra
3. More Algebra
4. Beginner Geometry
5. More Geometry
6. Calculus
7. Show Work or Logic
These may be too dense for students. Offering ideas to change
education makes this site different. Nothing
ventured, nothing gained. Site material is
mathematically correct, and where not, please report
errors. The two level program POMME in the site
entrance implies multiple paths for instruction. Supporting
those paths in turn implies a clear destination for
site development and perhaps a new name.
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