YOU are better than YOU think. Show yourself how:
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Read logic
chapters 1 to 5 in online volume Three
Skills for Algebra for greater skills & confidence
in work |
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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;
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Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought |
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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.
Math, Logic and Reasoning Puzzles
Activities to engage students - to build the will to learn - and also to build skills
- Math Games and Activities for Kids word problems, logic problems, math games. www.mathplayground.com
- SAT Math Practice
From http://www.k111.k12.il.us/king/math.htm#Factors/
Online Logic Puzzles/Games
- Battleship
- Peg Solitare
- Cut The Knot
- Elementary Brain Teasers
- Figure This (NCTM)
- Interactive Fun Puzzles (many logic puzzles for both younger and older children)
- Marbles and Row Puzzle
- Mahjongg Puzzle
- Math Puzzles (from Discovery School)
- Triple Quintzee (like yahtzee)
- Zig Zag
- Math Games (by Math Playground)
- Logic Games (by Math Playground)
Fallacies and Non-Rational Persuasion
Fallacious Appeals
Misdirected Appeals:
Appeal to Authority
| Lateral Thinking Bottleneck |
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Put a coin in a bottle and then stop the opening with a cork. How can you
get the coin out of the bottle without pulling out the cork or breaking
the bottle?
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Push the cork into the bottle, and shake the coin out. |
| Lateral Thinking Coast to Coast |
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Train A and train B are crossing the country, from coast to coast, over
3,000 miles of railroad track. Train A is going from east to west at 80
miles per hour, and Train B is going from west to east at 90 miles per
hour. Which train will be closer to the west coast when they meet? (Hint:
You don’t have to do any math to get the answer. Just use your head!)
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When the trains meet, they will be at exactly the same point. Therefore,
they will each be the same distance from the west coast. |
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| Lateral Thinking Digging Dirt |
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How much dirt is in a round hole that is 9 feet deep with a diameter of 3
feet? (Hint: You don’t have to do any math to get the answer. Just use
your head!)
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None. You make a hole by digging out the dirt, so the hole is empty. |
www.whyslopes.com
Mathematics Education Essays
57 or so
Area Entrance & Hub Ideas for Better Instruction 4 Ways to Improve Reform Theory of Knowledge Peer Review The Trouble With Algebra Course Design and Delivery How Letters Appear Sit Down & Study Modern Education Key Notes and Themes Site Lesson Plans How This Site Differs Site Origins Math & Logic Puzzles Comments on site content.
Words For Instructors Inductive Principles Fairness Principles Apprentices & Masters Three Remarks For a Leaner Curriculum Mixed Maths Curricula Cultivating Intelligence Reason - 3 kinds in maths Logic in Mathematics Science Education Maths Instruction in General Operational View & Values Standards Ends and Values Goals & Unifying Themes Algebra Lesson Plans Algebra, Geometrically Mathematics Curriculum Shifts Teaching Tips - Fractions to Calculus Math Ed Perils Talk the algebra talk Sec I - Fraction Focus Sec II - algebra focus Sec III - Focus on Slopes Maps-Plans-Drawings Math Wall Posters Education, Empirical Art Damage Reversal North American Math Curriculum Managing Reform Essay January 2007 Educational Follies Contructivism Incomplete Missing the Point I Mathematics in Context What and When, A Challenge Grouping Students Teacher Certification Education of Math Ed. Professors Site Eurekas Links Help Me Learn/Teach;
- Algebra
words before symbols - direct & indirect use of formula, numerical versus algebraic solutions - what is a variable (more words)- Arithmetic
- exercises
- with fractions
- videos on primes, lcm, gcm,lcd, square roots etc- Calculus - geometric preview, algebraic preview,
3 study guides,
much more- Complex numbers
-starter lesson with java applet - easy consequences for trig & vectors in the plane- Education
- Empirical Course Design & Delivery- Fractions
- alone
- by rote
- with algebra
- videos
- Functions - introduction
hindsight - composition aka
substitution -- Geometry, Euclidean - Correspondence of triangles, Triangle construction, duplication & Isometry - Failure of ASA & the // line postulate - angle sum in triangles -// grams - Triangle Similarity
- Geometry- Analytic - functions, polynomials, complex numbers, unit circle trigonometry
- Logic
- First Steps -
Symbols in Logic -
Occurrence & Truth Tables - Indirect Reason -Indirect Reason More- Proportionality
- Definition - Direct & Indirect Use - Numerical versus Algebraic Solutions- Real Analysis
- Decimal View of concepts and of proofs- Rules &Patterns in Science, Technology & Society - Pattern Based Reason
- Mathematical Reasoning, empirical, inductive or deductive
- Units
- in rates & slopes & (?) derivatives
- in ratios & proportions - slopes & rates included- Complex Numbers & Vectors & Trig
- trig expression for dot & cross - cosine law