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Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

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Home < - Volume 1A Pattern Based Reason << Chapter 5 Deception

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Chapter 5, Deception (and Hype)

Suggestive or Misleading Questions

Recall that one question for the one-way rule

When Aunt Jane visits her nephew Tom's home, Tom goes out to play.

asked what could be said for certain about Aunt Jane when Tom goes out to play? The answer is nothing. But the wording in this question hinted or suggested that a little bit more could be said for certain about Aunt Jane. The question was slightly misleading. A less misleading question would be what, if anything, can be said for certain. You have to be aware of misleading questions. The topic of suggestive and misleading questions is discussed next.&

Are you trusting? Are you willing to politely accept everything I or someone else says or suggests without question? The phrase what can you say for sure in the above question makes you expect something could be said for sure, not nothing. You have to watch for misleading and suggestive questions in and outside of this book.

When someone tries to convince you with a suggestive chain of reasoning, you need to recognize the weak and strong links in that chain. Then you can decide for yourself whether or not to accept the suggestions or conclusions obtained. Faulty logic may hide some deliberate deception or some reparable chains of reason. In particular, you may see where the chain fails and is broken, or where the chain can be strengthened or repaired. In our thoughts, we need to identify or keep track of what is certain, what is almost sure, what is guessed, what is probable, and what is only suggested.

The next example is far-fetched in most worldly locations, but it illustrates a situation that you need to recognize. Suppose I asked how long have you been beating your elephant? This question suggests you own a mistreated elephant. A gullible, too trusting, person overhearing this question could believe (assume) you own an elephant. A gullible person overhearing the question could believe this unless you say the question is absurd because you don't own an elephant.

We all are slightly gullible. It is a matter of politeness not to challenge a speaker. On hearing a question, we like (or tend) to think each question posed is correct, honest and not misleading. But we need to continually watch for questions that are not realistic, especially if the speaker does allow us to challenge them. Their words may force upon us unchallenged assumptions or suggestions. Suggestive questions need to be recognized – if not stopped. They need to be challenged and corrected to prevent the reasoning from continuing in an absurd or deceptive direction.

A series of suggestive questions is intimidating and forceful. When the suggestions in them remain unchallenged, you may find yourself at the end of a long chain of suggestive reasoning, agreeing to or not challenging some repugnant ideas. So watch for misleading questions. The questions and possibly the speaker are false. Step by step, or question by question, such false reasoning needs to be exposed. The exposure could start with the very first question, and then the next, and the next, and so on.

When a speaker, in posing and answering suggestive questions, leads you to false or repugnant conclusions, such a speaker has lied and mislead you. Your intelligence has been deliberately or accidentally insulted. The speaker, a possible villain, has taken advantage of your politeness or silence. Faulty reason or lies may be hidden in suggestive questions.

Hype, Hype, Hype, Hooray

People try to persuade us in many ways. We need to recognize the fair and unfair ways, or the sensible and nonsensical ways. In persuading ourselves and others, we need to recognize and appreciate or reward careful logic. Efforts to persuade and lead us are met in advertising, public relations, political campaigns, religion, law, business, mathematics courses (yes), and even your family. Advertisements and sales pitches may give an excessively favorable impression of a product. That is, few people, parties or companies will point to the bad or weak parts in their service or product. Because of a favorable impression or promise, we may choose one service or product much to our later regret.

Words can be used not only to teach and inform but also to direct or misdirect others. Here different messages can be given to different people. For example in talking about an adult-only subject, a child may be given or understand one message, while the elders understand another (or both). This may give a simple, half-innocent, example of a creative, deceptive ambiguity. In time the child grows up. Delivery of two different messages at once becomes more difficult as the child learns. Double meanings are then seen by the child, and no longer useful. The child is less gullible. More blatantly, appearances and words can mislead us.

Ambiguity and inconsistency are tools of some politicians and some sales agents for whom only the result (selling a product, service or conclusion) counts. For example, a leader or salesperson may suggest different and contrary ideas to different people. Watch for this inconsistency. Does it reflect a maturing attitude or a deceptive tongue?

In honest debate between people, question and issues are addressed one by one as they appear and the course of debate is not changed to avoid answering awkward questions. Unfortunately, for the sake of persuasion, political speakers may respond to only part of a question and shift the topic of conversation, so that the original topic is neglected. It is a shallow and insulting kind of response that goes for the most part unchallenged in public debate.

Numbers, and not just words, can be used to mislead people. Numerical descriptions of situations need to be understood. Averages for instance may be computed using different ways. It is also deceptive to let people think that one calculation is used instead of another. It is also deceptive, more precisely meaningless, to use statistics without saying how they were computed. In mathematics, a statistic is just a number computed from collected data. Further examples of and warnings about numerical or statistical methods of deception can be found in the following two books.

  1. How to Lie with Statistics by D. Durf, 1954, Norton and Company, ISBN -0-393-31072-8
  2. Use and Abuse of Statistics by W. J. Reichmann, 1961, Pelican Books, ISBN 0-14- 02-0707-4

Ethics For Persuasion

When you want others to agree with an action or idea, how should you speak? The only way to convince others is to give them reasons acceptable to them. But in doing this, our reasons for the action or idea could be different from the ones acceptable to them. When this is the case, we should say so. In this, some diplomacy may be required. The honesty advocated here is awkward when you speak to people who do not allow reasons different from theirs for a common goal.

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.


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Home < - Volume 1A Pattern Based Reason << Chapter 5 Deception

[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]


Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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