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Appetizers and Lessons for Mathematics &
Reason Français: 26
pages
A 1100+ page site with math-free logic chapters and
wordy algebra
chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.
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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.
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Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even
help you njoy it. ... unintimidating, sometimes funny and very clear. ... .
Read all. Continue with Volume 2, Three Skill for Algebra.
Site Review. Math resources ... span ...
arithmetic, logic, algebra, calculus, complex numbers, and
Euclidean geometry. Lessons and how-tos
.... provide a good foundation ...
Read all. See site books as well.
Teachers & Tutors: Site material uniquely explains common
troubles in terms of steps too large or missing. Plus,
this December 2011, 5-phase
framework offers a context
for mathematics & logic education. Phases 1 to 3 may focus on
skills with actual or potential local value for adult & daily life. College-oriented phases 5 &
4 focus on calculus & preparation for it.
Phases 1 to 4 may also serve trades & professions not dependent on calculus.
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Location: Site Entrance < Archives < Mathematics Education Essays << How to be a better instructor
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Four Ideas on how to be a Better Instructor
- Identify clearly the skills and concepts your students need to
master.
- Develop or find lessons and lessons plans to clearly and firmly
develop those skills and concepts.
- Observe student work to correct errors and react to them - when a
student or students have difficulty, take the student or students back
before the likely source to rebuild skills and confidence, to remove the
source and then to proceed.
- Distribute a checklist of skills and concepts for students to master,
and require students to fill a binder with notes and examples that cover
the skills and concepts and demonstrate mastery of each skill and
concept. Then check that the notes are complete, photocopies are
acceptable, and that the demonstrations are correct - gaps and errors in
the notes and worked examples provide opportunity for feedback and
correction, even skill and concept development with perfection. Then
marks for a given period may be based on the percentage of skills and
concepts mastered as indicated by the binder and/or further tests.
Sample and/or usable checklists for mathematics education should
appear in site pages.
Site material in 900 pages ranges from new or recycled exposition of key
skills and concepts to more theoretical discussion of instruction,
methods, ends and evaluation. That being said, Support for
inductive principles for instruction is extensive but not yet complete in
site pages. So writing will continue.
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Primary School Instructors: For mathematics instruction, year by
year, see site area for parents and see
site lesson plans for secondary I and secondary II mathematics. The
advice and lesson plans give discipline based aims for your mathematics
lessons. In the English
National Curriculum, also see
key stages 1 and 2 and
attainment levels 1 to 5 for mathematics.
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Secondary and Remedial College Instructors: See Chapters 1 to
14 of Volume 2 and the site areas on solving linear equations, or see
the descriptions and appetizers for site books and further site areas
below. To learn more, see site ideas for instruction,, lessons and
lesson plans included, Also in the English
National Curriculum, also see mathematics
key stages 3 and 4 and
attainment levels 5 to exceptional performance - the latter
altogether they describe secondary school level prerequisites for
calculus. Site ideas will give a different and clearer viewpoint of
what you have seen before as a teacher, and before that as a student.
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Location: Site Entrance < Archives < Mathematics Education Essays << How to be a better instructor
[1] [2] [3] [4] [5] [6] [7] [8] [9][10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64]
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© 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
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