The box
www.MathForArtists.com
Math for Artists    (Home Page)
Math for Non-Linear Thinkers
Math for people who don't think in a straight line
Math for Non-Engineers
Math for the Rest of Us
Featuring "Wet Math" with special video footage of Dr. Ray McAllister, a pioneer of ocean engineering
(Many engineers actually have an artistic, divergent way of thinking, which is why many engineers create beautiful things and elegant solutions to difficult problems.)
This web site (and book and video) aims to make math interesting, "edutainment" and useful in our lives.
Featuring "Wet Math" (math that involves going under water or traveling on the water)

Dr. McAllister and Great Moments in Ocean Engineering


Diving locations are interesting, but Dr. McA's stories of engineering mistakes and glorious moments in engineering are fun to hear.

Our target is ages 9 to 16 years old, especially people who need to learn visually, who don't understand formulae but who understand something when it is discussed or presented as a story.

This is an outline of the "Wet Math" book.  There will be short video segments (which can be viewed on videotape and on the CD)
1.. how to find a dollar that you dropped in the grass

(locate two points of the horizon with two intermediate points to line up)   =  two points determine a line,  two pairs of points determine intersecting lines and your half-dollar is at the intersection.


2.  A million dollar mistake with a cable and current drag

3.  how to use mental math  (A $80 value for just five easy payments of $19.99 -- huh?)

4.  In World War Two, somebody converted some charts from metric to feet, but -- oops -- instead converted the depths to fathoms.  10 meters is 33 feet, or about 5 fathoms.   ...but the new chart called it 10 fathoms... oops, thinking it was 60 feet deep, the captain tore off the bottom of the boat.

"An afternoon with the Dino Diver"
or
"Wet Math: Great moments of ocean engineering."

Visit Dr. McA's  web site….
http://www.oe.fau.edu/faculty/mcallister.htm
"Math for Artists" is for people who think OUTSIDE
The Box

We're still growing and trying out new ideas...

CLICK for Math in Business and Math for your Art Studio and Math for Negotiations

"Math for Artists" is often not the most direct way of solving the problem, but it works in the "real world" and it works for artists and creative engineers.

There is more than one way to climb a mountain, and there's more than one way to learn geometry, algebra, trig, fractions, probability, circles, triangles, square roots and squares and cubes.
Go to Page 1          >>>> NEXT PAGE
If you like diving, you'll enjoy some of Dr. McA's favorite DIVING LOCATIONS.
Order your copy directly from him:

Dr. Ray McAllister
4850 NorthEast 28th Avenue
Lighthouse Point, FL 33064
dinodivr@bellsouth.net
(954) 426-0808
www.DinoDiver.com
If you think outside the box, then you might be a creative thinker.  You probably think in a divergent way.  On your way to "the solution," you collect "other solutions" or you explore "dead ends" that prove useful in other ways.

Convergent thinkers avoid dead ends, aiming for the solution that they anticipate.  Convergent thinking leads to quick results but often misses subtle changes.

Example:

Find the solution to these problems.

(14 - 5)(4-2) - (14-4) =

(15-8)(4 + 31) - (-15 -3) =

-(-14 + 5) (90 - 40)+ (12-4) =


A convergent thinker might move ahead quickly and miss a subtle addition of a minus sign or a different placement of the minus sign.  A divergent thinker might catch it.  Or the divergent thinker might notice that the answer to the third question is
458, the symbol for I  L  U on a cell phone (a short message).











(4=I, 5=L, 8=U, I love you).


This web page was created by Steve McCrea, a graduate of Florida Atlantic University's school of public administration.  McCrea admires the work of Dr. McAllister and this web page is an attempt to bring more attention to Dr. McAllister's creative thinking.


Click here to see some
MATH WRITINGS by students


Click below to see
Triangles

Other Web pages created by Mr. McCrey  McCrea   McCray

SAT REVIEW


Hallandale:  This is a delightful Adult Education Center with other students who want to complete their diplomas or just get come studying out of the way in a healthy calm environment.

MATH REVIEW with TRIANGLES


Mr. McCrey's REVIEW OF QUADRATIC EQUATIONS: 
negative B plus or minus the SQUARE ROOT of b squared
minus 4 AC all over 2 A


WOW!
Are you thinking
outside the box?
...you're just getting
started...

Visit
Challenging
Problems

www.math-success.com


Cooperative Learning

Walk the Graph (Huetinck Activity p. 144)

More Math Links  (from a high school)


www.oocities.org/teachers2teachers/
mathfaulinks.html
An article for parents   
Is your child a Hunter or a Collector?


Your child is either a hunter or a collector.  Recent results from research into the human brain confirms that there are many learning styles and that most people fall into two major categories.  However, many classrooms are not organized to use this valuable information.  This article aims to give parents, teachers and students enough information and resources to begin improving the way information is taught.

Learning Styles
Most teachers know about the Audio, Visual and Movement styles of learning.  Some students learn a new skill (counting the number of tiles in a room) by listening to the procedure.  “Count the number of tiles in a row across the room, then count the number of tiles along the length of the floor.”   Others want to watch it happen before they do it.  “Watch me:  first I walk across the room, then I walk along the length of the room.”  The third type, called kinesthetic or “learn by doing”, just wants to figure it out by handling the materials.  “I want to calculate the number of tiles in this room.  Go ahead and try it.  What do you think needs to happen?”

As a parent or teacher, you can see the difficulty that two types of students will have if the teacher uses only one method of giving the procedure.  In the rush-rush, 50-minutes-per-class high-intensity world of six classrooms changes per day that a typical middle and high schooler endures, teaching to all learning styles doesn’t always take place.  Classrooms are overcrowded, leaving little space to move around.  Students are distracted by worries (“How will I make it across campus before the bell rings?”), lugging four to six 8-pound textbooks around the school.  Distractions like TV and the Internet prepare your child for short tasks, not the 30-minute essay-writing that classrooms require.

Students have developed an ability to switch topics and subjects very quickly.    They can focus for hours on tasks that involve intricate hand-eye coordination.  This same skill makes it difficult to remain focused on one page of black and white non-moving objects (such as a page in a book).  People with Attention Deficient Disorder have a variable attention span.  They are labeled as “unable to sit still and focus” yet they can play a video game for extended periods.  The trick appears to be:  how can we make school work more like a video game?  That’s why there is an industry of educational videos and computer games for teaching subjects that schools, particularly middle schools, are not able to address.

Multiple Intelligences

Howard Gardner of Harvard University  identified two principal skills used by students to do well in school (Linguistic and Mathematical or spatial learning).  Then he described other learning styles that traditional schoolwork generally doesn’t require.

Logical and Linguistic

This is a sequential learner, who likes going step by step, A to B to C to D.  Verbal skills and high vocabulary are typical strengths of this learner.

Spatial and 3-D

A mathematical skill, this special ability is generally associated with boys. Engineers, architects and athletes share this skill in imagining where a structure is experiencing the most stress and where a ball will end up when it is thrown.

Social (interpersonal)

Interactive or social learners learn from each other or by talking with the teacher.  This student enjoys Socratic teaching methods centered on discussions, even if the student speaks only once or twice during the class.  The social student is engaged when others are talking and when there’s a potential for participation.

Intuitive (intrapersonal)

This student makes the leap from A to D or Z and often can’t explain the process – but gets the right answer.  Impatient with step-by-step methods, this student looks for challenging problems that can engage the “out of the box” thinking and creativity.

Musical

Some people learn best with melodies or rhythms.  If a mathematical procedure can be sung or stated as a poem, the rule is better remembered.  “I before E except after C, and except in neighbor and eight.”

There's another test: 
Ask yourself, "What can I do with a paper clip?"  If you come up with 45 uses, you have a "divergent" right-brained approach to thiking.  If you can think of 5 uses, then you are a left-brained, "convergent" thinker.

Left Brain

People who tend to think in “black and white” terms and “let’s find the answer” tend to want to get to the end.  “Let’s just make a decision.”  Research shows that the primary stimulation takes place in the “engineering” side of the brain, the left side.  Institutions and organizations that have strong hierarchies tend to reward the left-brain thinker because he follows procedures.  Army generals, educators, administrators, librarians (which category should this book be placed in?  On which shelf?).  Thinking inside the box is important.  Exceptions are not emphasized.  “What is the best way to go from New York to Los Angeles?”  Best is usually interpreted by a left brain thinker as “saving time” or some other single feature is emphasized, such as cost.  “It’s cheaper to fly than drive, except if there is a group of five people.”


Right Brain

People who don’t like the restrictions of a multiple choice or True False test are dubbed “artistic” and their concerns are about the process of getting a decision.    Thinking outside of the box is highly valued.  Exceptions are emphasized when asked “What is a good way to get from New York to Los Angeles?”  “Well, if it’s raining, then   “Am I traveling with a close friend?  Maybe it would be nice to take the train.”  Conditions surrounding the question distract the right-brained person from getting to an answer, but the result is often more entertaining than the process used by a left-brained person.  Think about comedians such as Robin Williams, Roseanne Barr, Teri Garr and George Carlin.  Right-brained thinkers are “coming out of left field” and their approaches to math are not what math teachers or text books expect.

Most people have a varying amount of right and left brained thinking.  They might approach a group of problems dispassionately but inject emotions when considering something else.


The Big Breakthrough

The critical dividing line in brain evolution took place more than 40,000 years ago.  Back then, our ancestors either collected food or hunted.  They did many tasks at the same time (watching children, cooking and looking for food) or they focused on one activity at a time (follow the prey).  Evolution created specialized brains for this division of labor, a breakthrough for the emerging species of homo sapiens.

Today, sophisticated scanning technology has allowed researchers to take live pictures of “efficient mathematical thinkers” (hunters) and “creative right-brained thinkers” (collectors).  The brain processes information in different locations, depending on what type of structure you inherited.  Hunters tend to process language in one half of the brain while collectors use both sides of the brain.  Hunters have a very active left side of the brain when they imagine a three-dimensional object, but people who are collectors have to employ both sides of the brain to cope with a spatial relationship, such as a geometric problem.   The lack of specialization by collectors mean that they often find geometric problems difficult to handle, while hunters have an easier time. 

As a teacher and a psychiatrist, we have seen hundreds of students who slip though the educational system that is designed to educate the sequential learner.  People who learn step-by-step in an audio way who don’t have the distractions of a highly active right brain and who aren’t ADD do just fine in the typical school environment.  It’s the students that are exceptions that need assistance.  There are many possibilities:  a hunter can be right-brained (intuitive and highly visual) or left-brained (able to follow step-by-step procedures and either-or decision making), but they approach these tasks wit a one pointed nature.  A typical collector, on the other hand, can often handle two or three tasks at the same time, responding to challenges and school work in a step-by-step, methodical manner or in an artistic, “scattered” way.

If other learning styles (audio, visual and movement) are considered, there are more than a dozen variables for teachers and tutors to take into account when designing a study plan for the student.  No wonder that many teachers end up just teaching by the familiar lecture-and-textbook method!

What can parents do?

Parents have many avenues open.  Get to know your child’s learning styles and also your own.  Give examples from your life.  By all means necessary show your child that learning is a lifelong process that takes place outside school.  You don’t have to be currently enrolled in school to be learning new words, new skills and new procedures.  While waiting for an appointment or when on vacation, bring along a book.  Carry new words on a sheet of paper while you stand in line at a supermarket.  Don’t watch hours of television or patrol the internet for an entire weekend.  Set an example. 

What can teachers do?
It’s been said in many different ways:  teach to the student, don’t teach the material.  Ifyou have a class filled with a mixture of visual, auditory and right-brained students, you have a challenge… but rise to it.  Japanese and Germany classrooms often spend an entire 50-minute period on one problem, showing three or five different ways to find a solution.

Set up learning stations if you have space in the room.  Allow students to take turns using the materials.

Permit cooperative learning for the interactive students. 

Allow students to move around (kinesthetic and ADD) and shift between projects.

Right-brained students often perform better on a long-term project rather than dozens of short assignments that require keeping track of papers (not usually a right-brained strength).

What can students do?

Ask your teachers for another way to meet the requirements of the course.  Be polite! 

Ask your counselors for help.   If you find no one to help you, give a copy of this article or do some research about right-brained thinking.  Keep asking questions until you

If you are an interactive learner, don’t study alone!

If you are right brained, realize that most questions don’t require your creativity.  Learn to focus on the obvious.  Remind yourself that your creative ways will find outlets when you choose your career.  And don’t stay away from the armed services or education!  Organizations need creative right-brained thinking to evolve, improve and respond to change. 

Strategies for right-brained students:  ask your teacher if you can do a long project instead of several small projects.  Sometimes right-brained students find it easier to stay on one subject rather than jump around.

Summary
This article attempts to bring to the reader a summary of current research about learning styles and brain types.  The aim is to give parents, students and teachers the vocabulary necessary to explore innovative ways of learning and retaining information.  No article can adequately address all aspects of a student’s development and other resources are given below to help the search for solutions that will lead to improved educational opportunities for today’s students.

Where can I find out more?
Cooperative Learning  http://www.funderstanding.com/cooperative_learning.cfm

Brain Structure

Dr. Nancy Snyderman’s TV program on ABC
http://www.abcnews.go.com/onair/DailyNews/
braingame020731.html

Caveman by Rob Becker
www.cavemania.com

Learning Methods and Multiple Intelligences
http://www.ed.psu.edu/insys/ESD/gardner/menu.html
A web page at Penn State University

Visual Math Methods
www.MathForArtists.com  (This page)  Steve McCrea’s web site for teaching basic math principles. 

Where do you go to find a tutor who addresses multiple learning methods?

Your school’s guidance counselor has a list of tutors in the area.
The Yellow pages lists after-school tutoring services.
Ask the tutor about methods that can be used to reach different learning styles.

McCrea's Methods       See the
Calendar for self study

What’s the bottom line about your methods of tutoring?

A Visual and Active Method

Students with ADD have a special skill for the SAT.  Each problem needs to be completed in less than a minute.  Wow!  People with short attention span are rewarded for not wanting to dwell on boring problems. 

The key here is the “thrill” gene or the “
Stimulation” threshold.  When I tutor in a VISUAL way, I change the location where we are writing, I talk louder and then softer, there are changes in approach, we work on small segments of the problems.  This is an ideal method for short answer math problems or short answer verbal problems as shown on the SAT.  For working on an essay, the best approach is piece by piece.  I try not to overload the Visual person with a large amount of abstract data == I create diagrams and boxes and arrows.

I also limit the amount of talking.  I ask a direct question, “What do I do next?” or “What did I do?” and at the end of the problem, perhaps finding the answer to (x - 3)(x + 3) = 0, then I create a similar problem and we do it again, but with less input by the tutor.

SEE THE COMMENTS ABOUT RIGHT AND LEFT BRAIN BELOW.


Interactive Approach

There is much more talking about a problem and very little diagram drawing because each detail elicits a stream of questions or comments from the Interactive student.  The talking and questions help the student describe exactly what happens in her mind when she sees “estimate the amount that is half of 16% of 60.”  

MENTAL MATH
With both types of student, I stress the importance of learning mental math or quick pencil math.  If I can remember that 1/7 or one-seventh is also about 14%, I don’t have to use the calculator to get a pretty-close answer to “$200 is divided by 7 people.   What is the amount per person?”    We can estimate the amount if 7 people divided $100, and then double it. 

The goal is getting answers in less than a minute, so each step along the way, including mental math and memorizing the 11 formulas in math, can be a chance for saving time.

My PSAT scores were 57 and 59, which meant that I went from 570 to 720, a jump of 150 points in verbal because I sat for four months with a list of 750 words.  Imagine what I could have done with a longer list and more time.  My math score went from 590 to 800, simply because I took the time to try every difficult problem in the book.  I just skipped the ones that I didn’t understand and later took time to learn the principal behind the question.  There are only about 100 types of math problem and it’s possible to look at every type and develop a plan for each type of problem.  Charles Garotta wrote two books, 500 SAT Words and 100 SAT math tips.  Students who read those books tend to spend less time with a tutor.  www.teacherstoteachers.com and click on SAT.  You’ll see covers of both books. 

These techniques can be taught by parents and teachers, but parents are often too busy or they lack confidence in their ability to teach.  If a guy got an 800 in the math part, why not hire him?  My verbal score was 720 and so my total score, 1520, gets the attention of students.  “Wow!  You’re smart!”  Well, I’m able to perform quickly because the questions are short and because I’m a visual student.  If you take away my pencil, my score goes down. 

LEFT OR RIGHT BRAIN

The critical difference between the two sides is this…
LEFT
“I want to know why.  Show it to me step by step.”
No emotions, just the facts.
The goal is important (the Hunter)

RIGHT

“Tell me the big picture.  Don’t confuse me with details and exceptions.”
Why are we doing this?  What difference does it make?
The process is important (the Collector)

If you wish to contact me, you can reach me at 954 646 8246

S. McCrea
Formerly Certified to teach in Florida Schools
Temporary Teaching Certificate Number 845508
Expired June 30, 2006

Accepted in Princeton, Yale, MIT (early acceptance), Haverford, Swarthmore (waiting list at Harvard). 
I'm familiar with the college admissions process and I know the importance of gettting letters of recommendation and the support of a legacy (both grandfathers, my uncle, great uncle, and father attended Princeton, and my ancestor Richard Stockton was in the first class to graduate in 1748).  Since I also got into Yale, my acceptance in an Ivy League school wasn't solely based on being a legacy kid.
I attended Princeton for one year and I worked in Nairobi and California for six years before completing my bachelor's degree at Nova University.
Master's degree in Public Adminstration (FAU)
SAT 800 math, 720 verbal, total:  1520
GRE  800 math, 700 verbal

Just Enough Math
 
(how much math does a student need to study?)

How can I assist you?
Other topics
1.  How can I prepare my child for getting into the college of her choice?
ANSWER:
continue learning yourself.  You need to set an example of putting time into self-improvement.  The old illiteracy was "I can't read."  The new illiteracy is "I don't want to learn something new."  Alvin Toffler says we must be able to unlearn then learn something new and be prepared to unlearn and learn anew.

2.  Keep an open mind about other schools. 
College Academy in Fort Lauderdale, the Honors High School at FAU, and other hybrids (joint partnerships between a university and a high school) allow students to earn actual college credit. 

3.  Think twice about putting your child in ALL HONORS courses.  Some kids don't do well under high pressure.  Grades aren't  everything, SAT scores are everything and schooling isn't everything.  Remember what Mark Twain warned:  I never let my schooling get the way of my education.   Look out for the well-rounded child..."nothing is more mediocre than well-rounded," pointed out an interviewee on the Diane Rehm show. "I prefer a kid who is interested in a narrow field.  Really interested." (February 2005). 

4.  Lots of new words.
Your house can be sprinkled in new words.  Visit www.oocities.org/teachers2teachers/satwords for more information.  If you need more suggestions, write to mistermath@comcast.net and ask for free advice.  Another source is www.freevocabulary.com.

5.  Get your child involved in a charity or in an activity that continues outside school.  Less TV, more work in an organization.

6.  Create penpal activity and create the opportunity for your child to visit other countries and then ask her or him to write about the experience.  Journals are useful for discovering the child's interests.... 

7.  Look at essays that were written by students who got into good schools.  Look especially at Brett Kushner's essay. Then you will see what your child should be aiming at writing ...honestly.

8.  Avoid calculus unless your child wants to study certain types of engineering.  Avoid Trig and Precalculus unless your child really wants to become a technician or a computer programmer.  Focus on Statistics.   Get into ethics, philosophy and literature.  Create more time for books before your child leaves high school!

Here's a question...  Remember that guy who stole 92 million AOL e-mail addresses and sold them to a casino in Las Vegas? 
Did that guy study calculus instead of taking an extra English course or an ethics and philosophy survey course?  Would an ethics or philosophy course have helped that fellow realize that there are choices in life...and he was making a poor choice ...?

Short Math Course for Artists.
1.  Look at the paintings and artwork on this page and elsewhere.  Ask "What are the proportions?"
3 to 2?
2 to 1?
If the length is 3.2 and the width is 1.6, what is the ratio of
length-to-width?

2.  What are the costs of the materials to make this artwork?

Calculate or estimate the rent, the size of the studio, the electricity used, etc.


Send your answers to
mistermath@comcast.net
There are many ways to describe the correct answers....




LOOK FOR A NEW SERIES ON DVD
A Math Teacher in...


A Math Teacher in Fort Lauderdale

A Math Teacher in Venice

A Math Teacher in Miami

A Math Teacher in Key West

A Math Teacher in Bangalore (that's an idea!)

A Math Teacher in Hawaii

A Math Teacher in Massachusetts

How does a math teacher see the world?  Math is everywhere and we can learn more about a place when we discover the math around us.


Answers to the problems...

(14 - 5)(4-2) - (14-4) = 

(9)(2) -(10) = 8




(15-8)(4 + 31) - (-15 -3) =
(7)(35) - (-18) =
245     +  18  =  263



-(-14 + 5) (90 - 40)+ (12-4) =

-(9) (50)  + 8  =  458
Interesting!  See Look For Patterns
Walk the Graph
and other Visual Activities            PARENTS...
Links to
Math Pages           More Links                 SCROLL DOWN
www.oocities.org/talkinternational/
mathlinks.html     
Dr. Robison's
FAU Math Links                                              Artists -- Look at the bottom
Continue your education at BIBBI

You can be a penpal to
someone from another country


Interesting information  FORSUBS

Active Learning
(It's fun and effective)


Scroll down!  Learn about Learning Styles
An innovative way to get into the college of your choice

Learn about the VORNLE Method

www.oocities.org/ teachers2teachers/ vornle. html


Differences between HUNTERS and COLLECTORS


Some characteristics of the two types of Brain Structure

The Hunter tends to…
be focused on the end results
Do one thing at a time
Converge on one solution
Ignore the environment around him (he can work in a crowded space)
Be able to use 3-D or spatial visualization


The Collector
tends to …
be focused on the process
Do several things at once
Diverge and tolerate more possibilities
Want to work in a relaxed work space and will find it difficult to work around disorganization
Be strong in verbal skills
An innovative way to get into the college of your choice

Learn about the VORNLE Method

www.oocities.org/ teachers2teachers/ vornle. html


Here is what John Vornle suggests...

Universities are businesses. They collect revenues from the parents of students.

• Why do I tell you this? Most people think that universities have a “higher purpose.” They do, but most fail in the execution.
• What type of institution are most American Universities?  Non-profit charities?  No, the typical American university is a simple business. 
McCrea adds:  Universities claim that they are “not for profit” but running a university is a business.  The typical college seeks clients who will pay for its services.

B) Selecting a College/ How do you get to know a college? 

At almost any university you can find a positive situation.   Pick subjects you are interested in learning about now and dedicate yourself to associating yourself with the best teacher/ professors in the university system you can find.

Question: Given the importance of the teachers, why do universities not tell you much about their teachers, classes and curriculums?
Answer: Profits. 

C) How do you best prepare yourself?
Question: What are the three top qualities colleges look for?
Conventional Wisdom: 
GPA
SAT
Rank in class

The Vornle Answer: Other than athletic ability (which is number one for many colleges), I am going to say:
(1) evidence of leadership (...of having organized peers and motivated a group to do something);
(2) extra-mural distinction in some extracurricular activity, i.e. not just editing the high school paper, but writing for the local community newspaper, or getting nationally ranked in chess or debating;
(3) personal dash, charisma, popularity, especially with adults.  Evidence of leadership in fundraising is very attractive.  “Personal dash with adults” is a trait schools won't ever admit noticing, but it influences them, like it or not.

Why do I tell you this?
#3 is important.  You need to capture the attention of adults so that they volunteer to write you the letters of recommendation.

What are Admission Realities?    Selective American colleges and American Ivy League colleges are very difficult to enter.  The competition is intense. 

However, there is room at those top schools for middle-ability kids from eastern prep schools and ambitious families to attend the best programs in the mid-west.




Visit SAT Words


TIPS and the McCrea Method

SAT WORD TO PHONE

Challenging MATH problems at nctm.org click here
An innovative way to get into the college of your choice
Learn about the VORNLE Method         Visit SAT Words
TIPS and the McCrea Method      SAT WORD TO PHONE    Pat-Harris.com  free videos

See David demonstrate SQUARE NUMBERS
Math for artists and other people who want another way to learn about math
Do you feel like you came from another planet?  Math for aliens
Does math feel strange...
Math for people just don't "get" math...
What is it like to have a tutoring session with Mr. Mac?

The student comes with questions but the student also has to perform her understanding.

Hello, Student:  Prepare for the first class!


Please visit www.MathForArtists.com and write down two or three things that she learned from the web site.
One thing:  What is new to you?
One Thing:  What is familiar (what have you heard about?)?

I also want you to try a few math problems --  “challenging problems”
The answers are given and I want you to
select two problems to show me and demonstrate.

Example:  1 Hour Ahead
Problem
I started my two clocks at the same time. One is slow and loses 2 minutes every hour; the other one is fast and gains 1 minute every hour. How long will it take for the faster clock to be 1 hour ahead of the slower clock?


Solution -- 20 hours.
The two clocks differ by 3 minutes per hour. Since 60 minutes are in 1 hour, (60 min.)/(3 min./hr.) = 20 hrs. for the faster one to be 1 hour (60 minutes) ahead of the slower clock.

The focus is on understanding and starting with "What is important to you?"   It is not about competition and it is not about grades. 
We are discovering the magic in numbers. 
We are relaxed.

=================  
Look at this web link and find a problem that you like to explain…

http://nctm.org/middle/archive.asp
Math For Artists creates videos for students who need help with math.
Print this first page and clip this order sheet
--  mail to S. McCrea, Box 30555, Fort Laud., FL 33303.              

Name ___________________________  Street __________________________________________________

City _______________________________________ State _________________________ Postal CODE __________

Email _____________________________________________  Phone _____________________________
YES, send me the following item(s):
(  ) 
CD "Visual and Active SAT"  $20                        (  )  CD "Put Something Useful On That iPod"  $10

(  ) 
DVD "Math with Leslie" 90 minutes $25               (  )  DVD "Social Math" 90 minutes  $25

(  ) 
DVD "Wet Math" with Dr. McAlister  (30 minutes)  $20

(  ) 
CD Pronunciation (for ESOL students)  $10         (  )  Summer Reading CD FREE on request

(  ) 
CD ESOL Course (for beginners)  $50  on 5 CDs.    ASK ABOUT NEW PRODUCTS

(  )  One hour of Math Tutoring using Skype  $60 
(The cost includes a CD with a video of the session.  Your computer needs to use skype, with Skype Video preferred on both sides)

Please add $4 to cover postage, envelope and handling costs.    You can make copies and share with students and friends. 
Send a personal check or money order to "S. McCrea" at 
S. McCrea, Box 30555, Ft. Laud, FL  33303
Allow five weeks for delivery (you will be surprised...)

See Other Items for sale (listed on www.ResolveToHeal.com)
Need a Tutor?  Any subject can be made more Visual and Active

954 646 8246

Testimonials at the bottom of this page... scroll all the way down
Yes, I teach with
SKYPE VIDEO!
Tutoring with Steve is available
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In Appreciation

To
JK, for making sure I'm fed and for hours of thoughtful feedback,
proofreading, enthusiasm, electronic fan mail and passion
Your support made this web page possible.


To
Dr. Sally Robison, who introduced me to collaborative and cooperative learning
and the Huetinck textbook.  She teaches at Florida Atlantic University. 
Your questions helped me develop the concept of 
JUST ENOUGH MATH.



Steve
A Math Teacher in... ___________________


<<< Costa Rica
JUST ENOUGH MATH.
Do artists need math?  Sure!
Let's teach
just enough math and only the math that is useful... say no to "Matrices" and complicated formulae like "the difference of two cubes."
Clever, but for math teachers and others who like challenges...
Math For Artists salutes anyone who switches away from gasoline.  Here's a cool web site by Mr. Mac:  WHY WAIT FOR DETROIT?    >>>>
(Use math to calculate your savings...)  How much oil was spilled?  whyfiles.org/168oil_spill/2.html






Drive an Electric Car Today! $3 gasoline and electricty for 10 cents per kilowatt-hour -- How much do you save?
Click here to see the SONY CLASSICS preview of "Who Killed the Electric Car?"
Photo credit: The duck  is covered with oil  from the Exxon Valdez spill. Photo from the Exxon Valdez Oil Spill Trustee Council.
How much gasoline does your family use ecah year? (about 10 gallons per week, so how many gallons per year?)
How much oil was spilled by the Exxon Valdez?  (do a search on the Internet) then CLICK HERE to learn about alternatives to gasoline
After you watch the video, watch again and count the number of favorable and unfavorable comments made about U.S. car makers...
Learn about alternatives to gasoline

Math For Artists salutes anyone who switches away from gasoline.  Here's a cool web site by Mr. Mac:  WHY WAIT FOR DETROIT?    >>>>
(Use math to calculate your savings...)  How much oil was spilled?  whyfiles.org/168oil_spill/2.html






Drive an Electric Car Today! $3 gasoline and electricty for 10 cents per kilowatt-hour -- How much do you save?
Math For Artists salutes anyone who switches away from gasoline.  Here's a cool web site by Mr. Mac:  WHY WAIT FOR DETROIT?   
(Use math to calculate your savings...)  How much oil was spilled?  whyfiles.org/168oil_spill/2.html






Drive an Electric Car Today! $3 gasoline and electricty for 10 cents per kilowatt-hour -- How much do you save?
Hint

You will need to know how much electricity it takes to drive a mile or how many miles a typical EV can cover on one kilowatt-hour...








Answer:  2 miles per KWhr
MathForArtists.com salutes anyone who switches away from gasoline.  Here's a cool web site by Mr. Mac:  WHY WAIT FOR DETROIT?   
(Use math to calculate your savings...)  How much oil was spilled?  whyfiles.org/168oil_spill/2.html






Drive an Electric Car Today! $3 gasoline and electricty for 10 cents per kilowatt-hour -- How much do you save?
Ouch!

It can cost 10 cents for two miles and 5 cents for 1 mile, so for 20 miles it can cost $1... oh, many cars get 20 mpg, so the cost per 20 miles is $3 for gasoline! (ouch)
<<<  www.sonyclassics.com/whokilledtheelectriccar/