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YOU are better than YOU think. Show yourself how:
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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 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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-/[]\- 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. |
Three Remarks (Postscripts)Previous: Foreword 1. Society and Pattern Based ReasonRules and patterns need to be read and written with precision.
Volume 1A, Pattern Based Reason, read slowly, will test and develop precision reading and writing while pointing to the benefits, origins and limits of rule and pattern-based methods in thought and deed. Not all is certain. The question of what rules and patterns are reliable remains open. But in daily life we do assume or rely upon many rules and patterns. There is no escape. 2. Science and Pattern Based ReasonIn science and technology, rules and patterns range from being reliable to speculative. Engineers and scientists need to know the benefits, origins and limits of their rules and patterns, that is, when they may be applied or not.
There was a dream that empirically discovered rules and patterns would provide answers. But such rules and patterns have their limitations. In society, religion, commerce and science, the follower of rule- and pattern-based thought and methods needs to the know the origins, benefits and limitations of those rules and patterns, and so see when to apply them and to when further thought is required. 3. Scale Factors in Science and Society - Ecology and Pattern Based ReasonQuestions of scale appear in society, science and technology. Processes that appear beneficial and harmless on a small scale may on a larger scale bring ill-effects. Think of towns on a river. Untreated sewage may leave river waters drinkable when the towns are small. But the growth of towns and population may pollute the waters and require remedies. City planners and designers of industrial processes need to consider the effects of scale. Rule and pattern based methods with results that appear to be repeatable and reproducible on a small scale may be rotten on a larger scale due to accumulated side effects. Next: Chapter 1, What is Reason. - Different kinds of Reason |
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