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file:///C:/50C8DEAF/1Aandintro_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C9075C.14ED4710 Content-Location: file:///C:/50C8DEAF/1Aandintro_files/slide0001.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Problem Solving warm up

Problem Solving
warm up

True or False

1.To be good at math, you need to have special powers.

2.It takes a special brain to be good at math.

3.Most people are capable of understanding enough about the mathematical basis of important issues to develop informed and reasoned opinions.

4.Math tends to make people less sensitive to the romantic and aesthetic aspects of life.

5.If you are good at math, you’re probably not very creative.

6.Math is relevant to my life.

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Strateg= ies for Studying

<= span style=3D'font-size:75%;color:#333399;mso-color-index:5;visibility:hidden'>= ♥<= /span>

♥<= /span>Budget your time effectively. An hour or two each day is more effective than cramming at th= e last minute.

<= span style=3D'font-size:75%;color:purple;visibility:hidden'>♥

♥If you have trouble:

♥<= /span>Do additional reading or problems be= yond what has been assigned

♥<= /span>Ask for help – friends, teachers

♥<= /span>Work with friends.

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Preparing for Exams

♥Rework exercises and other assignments.

♥Do extra problems.

♥Study your notes from lectures and discussions.

♥Reread the relevant sections in the textbook

♥Study individually before joining a study group with friends. Study groups are effective only i= f every individual comes prepared to contribute.

♥Don’t stay up too late before an exam.

♥Don’t eat a big meal within an hour of an exam.

♥Try to relax before and during the ex= am.

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Chapter 1 – Thinking Criticall= y

Lo= gic – the study of the methods and principles o= f reasoning.

An argument uses a set of facts or assumptions, called premises, to support a conclusion.

A fallacy is a deceptive argument – an argument in <= span style=3D'font-size:75%'>which the conclusion is not well supported by the = <= span style=3D'font-size:75%'>premises.

1A = 211; Recognizing Fallacies

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Hop in= the Way-Back Machine

<= span style=3D'font-size:88%;color:#65B9BF'>♥Remember way back, when you were in Geometry??

♥p and q we= re used in logic statements… (We recognized logic statements by “if-then”.)

♥

<= span style=3D'font-size:88%;color:#333399;mso-color-index:5'>♥p was the hypothes= is and q was the conclusion….

♥In this class, p is called ‘premise’, q = is the ‘conclusion’.

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We= 217;re going to analyze 10 fallacies

•Please turn to page 15

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•Appeal to Popularity

•Many pe= ople believe p is true;

•therefo= re

•p is true.

•

•False Cause

•A came = before B;

•therefo= re

•A cause= d B

•Appeal to ignorance

•There i= s no proof that p is true

•therefo= re

•p is false

•

•Hasty generalization

•A and B= are linked one or a few times;&#= 13;

•therefo= re

•A cause= s B (or vice versa)

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•limited choice

•p is false;

•therefo= re

•only q can = be true.

•

•appeal to emotion

•p is associated with a positive emotional response;

•therefo= re

• p is t= rue

•personal attack

•I have a problem with the p= erson or group claiming = p. = ;

•p is not true.

•

•circular reasoning

•p is true

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•diversion (red herring)

•p is r= elated to q and I have an arg= ument concerning q;

•therefore

= •p is true.

•= 3;

= •straw man

= •I have an argument concerning a distorted version of p;

= •therefore

•I hope you are fooled into concluding I have an argument concerning the real version of p.

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Assig= nment

♥pg 19-20 = ;

♥Discuss 5-10= all, 11-35 odds

♥Do 11-20 = ;

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