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What was the name of your first pet? Where did you put your house keys? How do you
get to work every morning? Most likely, you didn't need to look up the answers to
these questions. You remembered them.
Memory is, without a doubt, the most powerful (and practical) tool of everyday life. By
linking both your past and your future, memory gives you the power to plan, to reason, to
perceive, and to understand. As long as thinking and insight are important in how we live
our lives, memory will be critical as well. And the better your memory, the more information
you'll have at your immediate disposal and the better your thinking will be.
Yet while all of us have an amazing capacity for memory, there are plenty of times when it
seems to fail us. Why does this happen? And how can you fix it?
According to award-winning Professor Peter M. Vishton of The College of William & Mary,
an engaging cognitive scientist who has spent decades studying the secrets of human
memory, the problem is simple. Our brains were not really built for the types of
memory challenges we give them in classrooms, offices, and throughout our daily
lives, he says. So the central trick to enhancing the power of your memory
is to transform things that are hard to remember into things that are easier for your brain
to encode and later recall.
This insight lies at the heart of his captivating course Scientific Secrets for a Powerful
Memory. In just six engaging and interactive lectures, you'll explore the real research
(not the fads) on how memory functions and then apply these findings to help you
make better use of the memory abilities you have. By tapping into a series of scientifically
proven strategies, tricks, and techniques, and by practicing them through dynamic exercises
led by Professor Vishton, you'll emerge from the end of this short course with the
ability to process information more effectively and to increase your chance of remembering
almost anything you want.
Discover How Remarkable Memory Is
Throughout this course, Professor Vishton continually focuses on just how remarkable
memory is; and how easily it can be strengthened, enhanced, and improved at any
age.
We may have trouble remembering phone numbers, names, where we left our
keys, or facts for an exam, he says. All of these failings, however, are not
due to limitations of your brain to encode and store information. We all have this capacity,
and to a remarkable level!
The most important way to improve your memory performance and to remember
information accurately and for a long time, according to Professor Vishton, is to transform
that information into something that's easier for your brain to remember and use,
like a distinct visual image or a simple string of letters. Essentially all of the techniques you
learn about in Scientific Secrets for a Powerful Memory center on this single goal.
Build Your Mental Tool Kit
So what are some of the powerful skills you'll be able to add to your mental tool kit?
Throughout these lectures, you'll learn about a range of methods and techniques
designed to boost your memory's powers.
The Major System: How can you convert hard-to-remember numbers (such as birthdays,
identification numbers, or parking lot zones) into easy-to-remember images? Developed in
1648, the Major System assigns a particular phonetic consonant sound to the digits 0
through 9. When you intersperse vowels and other non-Major consonants, you can make
words of items that you can easily imagine.
The Method of Loci: Credited to the Greek poet Simonides, the Method of Loci is one of
the simplest and most effective tricks for memorizing information. If you can tie the
information whether it's a shopping list or the names of the last 15 U.S.
presidents to known, physical locations, then your memory for it will be dramatically
improved compared with simply attempting to recall the information off the top of your
head.
Chunking: Studies have shown that people can hold about seven meaningful, self-coherent
items (such as letters or entire sentences) in their short-term memory . From this
perspective, these seven storage locations can actually hold a nearly unlimited number
of things. All you have to do is learn to pack more information into each of these seven
chunks using the other strategies explored in the
course.
And those are only a few of the insights you'll find. You'll also get tips on everything
from how best to study for an exam to proven ways for transferring information from
your short-term to your long-term memory.
Unlock Your Memory's Untapped Potential
I've long been fascinated with human cognition and the brain, notes Professor Vishton,
named one of the best 300 professors in America by The Princeton Review. And since
the beginning of my time studying psychology, I've also been interested in memory.
His amazement at the strength and capabilities of human memory is one you'll most
certainly be agreeing with as you learn from each of his expertly crafted lectures. With
his wealth of experience both teaching and researching the mysteries of memory and
the human mind, Professor Vishton offers you the model guide for improving your own
everyday memory.
And to expand on your skills and put them to work, he's filled these six lectures
with short exercises you can perform as you watch or listen. Pause the course and work
on the examples or test your newfound skills at the end of each lecture; there are plenty
of opportunities for you to practice what you've learned.
We've all long held people with fantastic memories as somehow superhuman; but
the truth is that anyone can be a memory whiz; provided they know the skills for doing so.
And now Scientific Secrets for a Powerful Memory offers you the key to unlocking your
memory's vast, untapped potential.
Due to its unique subject matter Scientific Secrets for a Powerful Memory takes a highly
visual approach. Many of the powerful and practical techniques for improving your memory
that are taught in the course are best demonstrated visually. Therefore, we have carefully
crafted this course to take advantage of animations, videos, photographs and diagrams - as
well as Professor Vishton's interactions with these visuals on a virtual set.
Please note that due to the highly visual nature of the course Scientific Secrets for a
Powerful Memory does not come with an accompanying guidebook. We did not believe a
simple book could adequately convey the information in the course and rather than make
a book that did not do the course justice, we decided not to offer a guidebook. However,
we believe that you will be very excited by how we produced this course and will find it to
be an enriching and fulfilling experience in your educational journey.
About Your Professor
Dr. Peter M. Vishton is Associate Professor of Psychology at The College of William & Mary.
He earned his Ph.D. in Psychology and Cognitive Science from Cornell University. Before
joining the faculty of William & Mary, he taught at Northwestern University and served as
the program director for Developmental and Learning Sciences at the National Science
Foundation. In 2012, Professor Vishton was named one of the best 300 professors in
America by The Princeton Review.
A consulting editor for the journal Child Development, Professor Vishton has published
articles in many of the top journals in the field of psychology. Among these are
Psychological Science, Science, and the Journal of Experimental Psychology. He is
also the creator of the DVD What Babies Can Do: An Activity-Based Guide to Infant
Development.
Available Exclusively on Video
Because of the highly visual nature of the subject matter, this course is available only on
video. It features more than 100 images, many animations, and on-screen text to
illustrate mental concepts, learning tools, and demonstrations by the professor.
01- Problems versus Exercises.avi
02- Strategies and Tactics.avi
03- The Problem Solvers Mind-Set.avi
04- Searching for Patterns.avi
05- Closing the Deal - Proofs and Tools.avi
06- Pictures Recasting and Points of View.avi
07- The Great Simplifier - Parity.avi
08- The Great Unifier - Symmetry.avi
09- Symmetry Wins Games.avi
10- Contemplate Extreme Values.avi
11- The Culture of Problem Solving.avi
12- Recasting Integers Geometrically.avi
13- Recasting Intergers with Counting and Series.avi
14- Things in Categories - The Pigeonhole Tactic.avi
15- The Greatest Unifier of All - Invariants.avi
16- Squaring is Better - Optimizing 3s and 2s.avi
17- Using Physical Intuition and Imagination.avi
18- Geometry and the Transformation Tactic.avi
19- Building from Simple to Complex with Induction.avi
20- Induction on a Grand Scale.avi
21- Recasting Numbers as Polynomials - Weird Dice.avi
22- A Relentless Tactic Solves a Very Hard Problem.avi
23- Genius and Conways Infinite Checkers Problem.avi
24- How versus Why - The Final Frontier.avi
End Credits.avi
Professor Paul Zeitz.avi
Description Secrets of Mental Math
course no. 1406
Taught By Professor Arthur T. Benjamin, Ph.D., Johns Hopkins University,
Harvey Mudd College
640x480 Xvid.avi
128 kbps CBR MP3
Quick: What's 25 × 45?
How about 742 × 300?
Or 4821 ÷ 9? Most of us, when faced with math problems like these,
immediately reach for a calculator or a pen.
But imagine if you could perform these and other seemingly difficult but
surprisingly easy calculations right in your head.
Seems like an impossible feat? It's not.
One key to improving and expanding your math potential whether you're a corporate
executive or a high-school studenties in the powerful ability to perform mental math calculations.
Solving basic math problems in your head is a gateway to success in understanding and
mastering higher mathematical fields such as algebra, statistics, and calculus. It's a skill
that offers other lifelong benefits, including
* giving you a competitive edge in school or at work;
* keeping your mind active and sharp at any age;
* improving your performance on standardized tests; and
* learning to solve problems by using a variety of methods.
Mental mathematics also is valuable when you're shopping for groceries or figuring out how
much to tip at a restaurant. And perhaps the best part? Learning how to do mental math
can be fun especially when you're learning in the company of Professor Arthur T. Benjamin
of Harvey Mudd College, one of the most engaging and entertaining members of
The Great Courses faculty. The Secrets of Mental Math, his exciting new 12-lecture
course, guides you through all the essential skills, tips, and tricks for improving and
enhancing your ability to solve a range of mathematical problems right in your head.
Mental Math Made Simple
Mental math, as Professor Benjamin demonstrates, is not as daunting as it may seem.
In fact, it's an ability you already have you just may not know it. Performing calculations
in your head is all just a process of breaking down a large problem into simpler and
simpler problems until it's finally reduced to a single answer.
Assuming no detailed knowledge of mathematics other than what you learned in
elementary school, Professor Benjamin has designed The Secrets of Mental Math
to be accessible to anyone looking to tap into or strengthen his or her mental
calculating skills.
In the first part of the course, you focus on specific strategies for performing the
basic nuts-and-bolts operations of mental mathematics.
* Adding any two numbers up to three digits
* Subtracting any two numbers up to three digits
* Multiplying any two numbers up to two digits
* Dividing any number by a number up to two digits
Dr. Benjamin fills each lecture with a wealth of practice problems to follow along with
and get you engaged in the joys of mentally solving math problems.
Once you've gotten these four fundamental operations down, you then branch out
into some interesting directions that continue to hone your mental math skills.
Among the exciting skills you'll develop are
* how to find approximate answers using the art of "guesstimation";
* how to quickly find squares and square roots;
* how to improve your memory for numbers (including phone and credit card numbers)
by using a simple phonetic code;
* how to approach enormous calculations with increased confidence and accuracy;
* how to mentally determine the day of the week of any date in history; and
* how to do rapid pencil-and-paper mathematics in ways seldom taught in school.
And his accompanying course guidebook is filled with additional problems you can
use to practice your newfound skills.
Discover Valuable Mathematical Tips and Techniques
Throughout The Secrets of Mental Math, Professor Benjamin leads you through some
fun and memorable techniques for tackling specific mathematical calculations. Here's
an example of one strategy he calls "Create a Zero, Kill the Zero," helpful for determining
the divisibility of any odd number that doesn't end in 5.
Is 1232 a multiple of 7?
* Start by adding or subtracting a multiple of 7 to create a 0 at the end (1232 + 28 = 1260).
* Kill the 0 from the new number (1260 becomes 126).
* Add or subtract a multiple of 7 to create another zero at the end (126 + 14 = 140),
then kill the 0 at the end.
* Determine whether the new number is a multiple of the original divisor (yes, it's 14).
* Thus, 1232 is a multiple of 7.
An Encouraging, Rewarding Look at Numbers
But you'll get more than just fun strategies to help make mental math easier. Learning with
Professor Benjamin is like having a supportive coach right by your side someone to encourage
you, challenge you, and instill mathematical confidence in you. It's this same teaching
method that has won him a host of prestigious awards from the Mathematical Association
of America, including the Deborah and Franklin Tepper Haimo Award for Distinguished
College or University Teaching of Mathematics.
So prepare yourself for an unforgettable adventure in mental mathematics. Enjoyable,
eye-opening, and immensely rewarding, The Secrets of Mental Math makes basic math
quicker and easier than ever before. And it's a powerful way to take your first, more
confident steps into the intriguing and undeniably fun world of numbers.
About Your Professor
Dr. Arthur T. Benjamin is Professor of Mathematics at Harvey Mudd College.
He earned a B.S. from Carnegie Mellon University and a Ph.D. in Mathematical
Sciences from Johns Hopkins University.
Professor Benjamin's teaching has been honored repeatedly by the Mathematical
Association of America (MAA). In 2000, he received the MAA Deborah and Franklin
Tepper Haimo National Award for Distinguished College or University Teaching of
Mathematics. In addition, the MAA named Professor Benjamin the 2006 & 2008
George Pólya Lecturer.
Available Exclusively on Video
Because of the highly visual nature of the subject matter, this course is available
exclusively on video. It features hundreds of visual elements, including step-by-step
walkthroughs of mental math problems, as well as graphics and illustrations.
Course Lecture Titles
12 Lectures
30 minutes / lecture
1. Math in Your Head!
Dive right into the joys of mental math. First, learn the fundamental strategies of
mental arithmetic (including the value of adding from left to right, unlike what
you do on paper). Then, discover how a variety of shortcuts hold the keys
to rapidly solving basic multiplication problems and finding squares.
2. Mental Addition and Subtraction
Professor Benjamin demonstrates how easily you can mentally add and subtract
one-, two-, and three-digit numbers. He also shows you shortcuts using the
complement of a number (its distance from 100 or 1000) and demonstrates
the uses of mental addition and subtraction for quickly counting calories and
making change.
3. Go Forth and Multiply
Delve into the secrets of easy mental multiplication Professor Benjamin's favorite
mathematical operation. Once you've mastered how to quickly multiply any
two-digit or three-digit number by a one-digit number, you've mastered
the most fundamental operations of mental multiplication and added a vital tool
to your mental math tool kit.
4. Divide and Conquer
Turn now to the last fundamental operation of arithmetic: division. Explore a
variety of shortcuts for dividing by one- and two-digit numbers; learn how to
convert fractions such as 1/7 and 3/16 into decimals; and discover methods
for determining when a large number is divisible by numbers such as 3, 7, and 11.
5. The Art of Guesstimation
In most real-world situations such as figuring out sales tax or how much to tip
you don't need an exact answer but just a reasonable approximation. Here,
develop skills for effectively estimating addition, subtraction, multiplication,
division, and square roots.
6. Mental Math and Paper
Sometimes we encounter math problems on paper in our daily lives. Even so,
there are some rarely taught techniques to help speed up your calculations
and check your answers when you are adding tall columns of numbers,
multiplying numbers of any length, and more.
7. Intermediate Multiplication
Take mental multiplication to an even higher level. Professor Benjamin
shows you five methods for accurately multiplying any two-digit numbers.
Among these: the squaring method (when both numbers are equal),
the "close together" method (when both numbers are near each other),
and the subtraction method (when one number ends in 6, 7, 8, or 9).
8. The Speed of Vedic Division
Vedic mathematics, which has been around for centuries, is extremely
helpful for solving division problems much more efficiently than the methods
you learned in school. Learn how Vedic division works for dividing numbers
of any length by any two-digit numbers.
9. Memorizing Numbers
Think that memorizing long numbers sounds impossible? Think again.
Investigate a fun and effective way to memorize numbers using a
phonetic code in which every digit is given a consonant sound. Then
practice your knowledge by trying to memorize the first 24 digits of pi,
all of your credit card numbers, and more.
10. Calendar Calculating
The fun continues in this lecture with determining the day of the week of any
date in the past or in the future. What day of the week was July 4, 2000?
How about February 12, 1809? You'd be surprised at how easy it is for you
to grasp the simple mathematics behind this handy skill.
11. Advanced Multiplication
Professor Benjamin shows you how to do enormous multiplication problems in
your head, such as squaring three-digit and four-digit numbers; cubing two-digit
numbers, and multiplying two-digit and three-digit numbers. While you may not
frequently encounter these large problems, knowing how to mentally solve
them cements your knowledge of basic mental math skills.
12. Masters of Mental Math
Professor Benjamin concludes his exciting course by showing how you can use
different methods to solve the same problem; how you can find the cube root
of large perfect cubes; how you can use the techniques you've learned and
mastered in the last 11 lectures; and more.
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