[Photo by pfala.]
Thanks to John Cook’s article about factorials in the recent Mathematics and Multimedia Carnival, we’re adding new rules to the 2010 Mathematics Game.
Let’s play with multifactorials!
Lewis Carroll’s Logic Challenges
Symbolic Logic Part I was published in 1896. When Lewis Carroll (Charles Lutwidge Dodgson) died two years later, Part II was lost. Because they couldn’t find the manuscript, many people doubted that he ever wrote Part II. But almost eighty years after his death, portions of Part II were recovered and finally published. The following puzzles are from the combined volume, Lewis Carroll’s Symbolic Logic, edited by William Warren Bartley, III.
These puzzles are called soriteses or polysyllogisms. Carroll began with a series of “if this, then that” statements. He rewrote them to make them more confusing, and then he mixed up the order to create a challenging puzzle.
Given each set of premises, what conclusion can you reach?
10/10 is Powers of 10 Day
Measure the Earth: Useful Links
To find the latitude of your position:
To convert your latitude to a distance measurement:
- GPS Latitude and Longitude Distance Calculator
Enter your latitude, but enter 0 (zero) for longitude. Then enter 0 for both latitude and longitude for the equator. Click to calculate your distance to the equator in meters, km, feet, or miles.
[I will also add these to the original post.]
Sept-Oct 2010 Math Calendars
As I was preparing for Wednesday’s Homeschool Math Club Games & Activities meeting, I remembered my old math calendars and thought, that would be a fun activity to offer. So I pulled up the files and discovered that the days of the week matched perfectly. What a cool coincidence!
So in case you missed the math calendars last year, or in case it’s been long enough that your children have forgotten, here are the “new” versions:
Addendum
Umm Ahmad created an easier version for young students:
MathCounts: Grandfather Clause for Existing Homeschool Teams
Click here for the official update. Small schools are not mentioned, but it seems logical that their existing teams would also be grandfathered in. Maybe? and according to Mathmom’s comment below, small schools are left out in the cold.
… After taking all concerns into account, a compromise was crafted that would grandfather in homeschools and virtual schools that participated in the 2009-2010 program year to allow them to participate on teams in this year’s Competition Program. All new homeschool and virtual school participants must abide by the new eligibility rules that require those participants to register only as individuals. This compromise was brought to the MATHCOUNTS Board of Directors and approved unanimously.
Therefore, for the 2010-2011 school year, all homeschool and virtual school groups that registered for the MATHCOUNTS Competition Program either as teams OR individuals during the 2009-2010 program year will be allowed to register teams or as individuals for the upcoming 2010-2011 program year, following all of the 2009-2010 requirements for participation.
MathCounts: No More Homeschool Teams
If you’ve heard rumors about the new ruling, here is the official take.
I try to avoid ranting on this blog, but I’m deeply disappointed. My students always enjoyed the team aspect of working/suffering together. I don’t know if any of them will be willing to participate as individuals.
Update: MathCounts: Grandfather Clause for Existing Homeschool Teams
How to Start an Argument: The Monty Hall Problem
[Photo by MontyPython.]
You can get a good argument going in almost any group of people with the infamous Monty Hall problem:
Imagine you are on a TV game show, and the host lets you choose between three closed doors. One of the doors hides a fancy sports car, and if you pick that door, you win the car.
You pick door #1.
The host opens door #3 to reveal a goat. Then he gives you a chance to switch your door for the unopened door #2.
Should you switch?
What if you say you’re going to switch, and then the host offers to give you $5,000 instead of whatever is behind door #2?
Try the game for yourself at the Stay or Switch website.
Continue reading How to Start an Argument: The Monty Hall Problem
Probability and Baby Blues
[Photo by audi_insperation.]
[In The Birthday Surprise, Alex discovered her family was expecting a new member…]
What will the baby look like, Alex wondered. “Dad, is there any way to tell whether the baby will have blue eyes like I do, or brown like the rest of the family?”
Dr. Jones shuffled the papers on his desk and found a blank page. “Over 100 years ago, the Austrian monk Gregor Mendel studied genetics, or how various traits are passed down from one generation to another.” He began to draw a diagram as he talked.
Alexandria Jones and the Birthday Surprise
[Photo by D Sharon Pruitt.]
[July 27th is Alex’s birthday, which she shares with Johann Bernoulli, an irascible mathematician from the late 17th century.]
The guests had gone. Alex and her family sat around the table, sharing the last tidbits of birthday cake and ice cream. Alex smiled at her parents.
“Thanks, Mom and Dad,” she said. “It was a great party.”
Maria Jones, Alex’s mother, leaned back in her chair. “I do have one more surprise for you, Alex. But you will have to share this one with the whole family.”
Leon groaned. “I know what it is: Let’s all pitch in to clean up.”
“That wouldn’t be a surprise,” Alex said.
Denise Gaskins' Let's Play Math 