www.whyslopes.com
for better work & study skills, read the math-free logic chapters in Vol. 2 (Français)
Volume 1B,  Mathematics Curriculum Notes
Echoes of Modern Mathematics Curricula,  a reference for mathematics instructors and math education professors
recognition of old difficulties and inductive principles for course design and delivery provide motivation, method
and technical standards for a new leaner, yet further reaching and more effective curriculum 
    ||Définition d'une variable || Algèbre || Arithmetique || Logique ||
Managing Reform
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OnlineVolumes

1,  Elements of Reason. 
-with  foreword for all volumes
1A. Pattern Based Reason 
- striving for objectivity, etc
1B. Math Curriculum Notes
inductive principles etc
2. Three Skills for Algebra
- unifying themes + study skills
3. Why Slopes  & More Math - previews & starter lessons for elementary & advanced calculus.

See Volume 2 and 3 if you are preparing kids for calculus.

More Site Areas 
1. Help Your Child or  Teen Learn
2. Linear Equations & Fraction Skills - Sec I to V level
 3. Fractions Ratios Rates Proportions Units  - Sec I & II
4. Euclidean Geometry - Sec IV
5. Analytic Geometry -Sec IV & V
6. Number Theory.  Sec V &VI
7. More Calculus Sec V & VI
8. Complex Numbers Sec II to VI
9. Qc Maths Education  
10. Secondary IV(?) math  
11.Real  Analysis College level
12. LaTeX2HotEqn College level
13. Electric Circuits Etc  Sec IV+
14 Français - Sec III +
15. www.whyslopes.com  Entrance Level Pages:

This  Calculus Preview and Chapters 2 to 6 in  Volume 3 offer lessons  to make the hard easier at the start of calculus, or to provide a context for the study of slopes and factored polynomials before calculus.

Your IP Address  & 
how to use it

Three Links for Teachers:
(i) First Year High School Math - Lesson Plans with Fraction Focus (ii) Second Year High School Math - Lesson Plans with an algebra focus (iii) Algebra Lesson Plans

Parents: Site Area Helping Your Child or Teen Learn  covers 1. Speaking Skills, 2. Reading & Writing, 3. Preparing for Science, 4. Math Work Books, 5.Books for Parents, 6. Mathematics for ages 6 to 14, 7. Having Patience -you'll need it. Chaperone your sons and daughters  through jumpMath workbooks for grades 3 to 8 along side site lessons for grades 7 to college and material elsewhere. 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, but do not abuse it.

Lesson Plans and lessons

Secondary I - fractions & allied concepts (decimals, percentages)

Secondary II
- Algebra  (arithmetic versus algebraic methods, backward use of formulas and proportionality equations)
Secondary III - to come(?)
Secondary IV
- Functions to Trig & Statistics

Algebra Lesson Notes & Ideas for All levels

 

School authorities at the district level, the smaller the better,  need to designate an individual or two, experts in subject matter & diction, to direct mathematics education, individuals who can be fired, individuals with reputations to make or lose, so that responsibility for the quality of course design, course material and instruction is clear, preferably individuals with resources to do in-service aid and training of teachers, while courses are ongoing. The site author is available.  

1B, Mathematics Curriculum Notes,   Chapters 1 to 12 

Book Entrance
Inductive Principles
Three Remarks
1 Introduction
2 For & Against Math
3 Algebraic Thought
4 Why Slopes & SQRT of -1
5  Books & Articles to Read
6 Unruly Origins of Algebra
6. Axiomatic Civilization
7 Geometry, 2 Ways
8 Modern Instruction
9 The Two Ends
10 The Transition
10 Explaining Logic
10 Explaining Algebra
10 Why Sets in Math.
12 Four Phases
Essay January 2007
Words for Teachers
Grouping Students
Site Eurekas
Links
Managing Reform
Constructivism Revisite
Math Ed. Professors
More  On Constructivism
Educational Follies
Missing the Point I
Direct Instruction
Damage Reversal

Chapter 11: Primary School Mathematics

11 Primary Math
11 Cue Cards
11 Counting
11 Decimals - Addition
11 Decimals -Times
11 Decimals & Subtraction
11 Fractions and Division
11 Notational Conflict
11 Reciprocals Etc
11 Decimals - Ratios
11 Size Comparison
11 Numbers, +ve or -ve
11 Rename < Sign
11 Complex Numbers

-Inductive principles for course design & delivery  require a clear description of where and how skills and concepts may rest on earlier ones, so that difficulties may be explained and remedied by looking for  what was missed or forgotten in earlier studies. 

Mathematics is a demanding subject. All errors in notation and comprehension need to be identified and corrected. In reading, spelling and writing, students have to learn all the letters in the alphabet, not just some. and memorize spelling. Anything less implies difficulty.

Likewise in mathematics, students have to master key skills and concepts, one at a time and one after another. Anything less implies difficulty.


My status  Teachers U are not alone. For online help and advice for understanding and developing mathematics,, contact  site author Professor Selby via (i) Email (ii) Yaho (or MSN) Messenger, or (iii)  Skype
for online sessions by chance when I am online or appointment when I am off. The first session (saying hello) is free.  While talking online, we may scribble on  Yahoo, MSN, Skype or  Twiddle this page!  whiteboards. The twiddla whiteboards has a built-in browser for students, teachers and tutors in general to import webpages and explore/scribble on them together.  It also has audio in theory.   [Session length depends on supply and demand.  Call during off-peak periods for better service. ]

 


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