I was thinking along the lines of Abstract Algebra too, but I considered that it might just be too upper-division for the average high-school student.
But I do feel that any high school student motivated enough can at least tackle some of the basics. The right book is important too. The 900-page textbook I am using for my graduate level course is probably not the best idea.
A text book that isn't too dense should be fine. I think problems might arise with constructing new groups, though, like modding out by the kernel of some homomorphism, Field of Fractions, etc... Students will need a grasp on Set Theory for that.
Last March, I introduced Dihedral groups to my brother's 3 older kids, 11 to 13 at the time, and they were perfectly capable of filling out a Cayley table for the groups of symmetries of the equilateral triangle and square and had some fun with it. It wasn't difficult for them to notice that each element appeared in any given row or column exactly once, aside from the headings.
But perhaps the book I might recommend is my textbook for Sets and Logic:
I'll take this new policy. I just need to make an adjustment to my syllabus:
A: > 95%
B: 90-95%
C: 85-90%
D: 80-85%
F: < 80%
The US public education system is screwed. It has been, and now they are just stripping out the hole. That's it... Just turn up the torque on your drill, and watch as the screw just turns freely now.
These policy makers need to stop being wimps and let teachers hold students accountable instead of cowering to students' self-esteem.
How about throwing a GPS receiver under the keyboard, then using a script to upload the coordinates somewhere automatically on a time interval whenever it's connected to the internet?
Again though, you're screwed if they wipe the drive first... What if the GPS unit ran on its own processor and its own embedded OS, programmed to phone home regardless of what is done to the laptop's hard drive?
Don't Yankees fans predict they will dominate every year? That being said, I never take predictions like this seriously, especially if it is another "Yankees will pwn" claim. Odd, however, that I didn't see anyone predict what the 2001 Seattle Mariners did (116 wins).
Oh, and yes, I am a mathematician (will obtain BA degree in math this June).
I like to use "gzip hda2.gz" to back up a partition, but before I do that, I mount it, "dd if=/dev/zero of=mountpath/zero", sync, "rm mountpath/zero", and unmounting it before that to attain the smallest image file possible. Of course, this needs to be done from either a Live distro or from a secondary install. I have my Linux on 8GB, and my image is about 1.5 GB.
I don't know if this or a variation has been posted yet, so at the risk of being redundant, (hey, at least the information that it is my favorite puzzle would be new) here goes nothing:
Let there be two doors - a door of life, and a door of death. They are not marked. You do not know which one is which. In front of each door is a guard. One always tells the truth, while the other always lies. Again, you do not know which one is which. You are permitted to ask only one guard one question.
Which question can you ask that will guarantee that you can determine which door is the door of life?
If you take a bike, you might consider installing tire puncture guards...
And maybe a rack to mount above the right tire, and get some bungee cords for tying down stuff on the rack.
Mitgleider turned out to be a pain in the knee to get rid of.
It seems to create a process that manages to attach itself to Explorer.exe and kills regedit.exe, msconfig.exe, Spybot, AV programs and pretty much almost any process that can be used to remove the infection.
However, Mitgleider's weekness is that it only attaches itself to explorer.exe in ONE user account. If you end up battling this infection, it is advisable to create a new admin account to get rid of the infection.
No, formatting or even repartitioning will guarantee that data will be erased. I found a software program that can recover NTFS files long after the partition was corrupted, reformatted, even after the hard drive was repartitioned, but you probably knew this.
What is needed is to overwrite random data to all sectors of the drive.
The ordinary people really don't care enough if Firefox had won another 0,2% Marketshare or not. They use Firefox because it's the best choice there is for Open Source.
I may have to counter that. Some people get things because they are the IN THING, the LATEST RAVE, a MUST HAVE. Right now Firefox is probably becoming that.
Particularly near Central Washington University, the lights change to flashing red in one direction and flashing yellow the other direction between 11PM and 7AM. No detection needed, though it doesn't do anything during the day.
I tend to think some people have a very distorted sense of what "listening" is. Some people think "listening" is to be in 100% agreement and compliance.
"Wow, you have a good point! I have no choice but to agree with you 100%. I will now burn all my video games!"
That's the whole point of the supreme court. They are appointed to the position for life, so they don't have to worry about being reelected and have to play up to special interest groups.
If at first you don't succeed, sky diving is not for you.
Ever seen the Pelican Brief? What makes you so sure these corporations won't send an assassin or two to take out a few justices?
Slashdot Mirror
I was thinking along the lines of Abstract Algebra too, but I considered that it might just be too upper-division for the average high-school student.
But I do feel that any high school student motivated enough can at least tackle some of the basics. The right book is important too. The 900-page textbook I am using for my graduate level course is probably not the best idea.
A text book that isn't too dense should be fine. I think problems might arise with constructing new groups, though, like modding out by the kernel of some homomorphism, Field of Fractions, etc... Students will need a grasp on Set Theory for that.
Last March, I introduced Dihedral groups to my brother's 3 older kids, 11 to 13 at the time, and they were perfectly capable of filling out a Cayley table for the groups of symmetries of the equilateral triangle and square and had some fun with it. It wasn't difficult for them to notice that each element appeared in any given row or column exactly once, aside from the headings.
But perhaps the book I might recommend is my textbook for Sets and Logic:
Mathematical Reasoning: Writing and Proof by Ted Sundstrom
http://www.amazon.com/Mathematical-Reasoning-Writing-Proof-2nd/dp/0131877186/ref=sr_1_1?ie=UTF8&s=books&qid=1234136896&sr=8-1
It would be great for teaching students that writing and mathematics are not necessarily two different animals.
Perhaps Google should do something like this: http://xkcd.com/481/
We had a television, and it had a parental control: It took the form of a key hole. When it was locked, the TV would not turn on.
I'll take this new policy. I just need to make an adjustment to my syllabus:
The US public education system is screwed. It has been, and now they are just stripping out the hole. That's it... Just turn up the torque on your drill, and watch as the screw just turns freely now.
These policy makers need to stop being wimps and let teachers hold students accountable instead of cowering to students' self-esteem.
This is all the proof I need: http://apod.nasa.gov/apod/ap050401.html
APOD said it, I believe it, and that settles it!
There is a Mathematics Wiki that seems to accepting proofs, but doesn't have many articles created yet.
If Wikipedia doesn't accept proofs, why not just put them in one dedicated to Math?
Don't Yankees fans predict they will dominate every year? That being said, I never take predictions like this seriously, especially if it is another "Yankees will pwn" claim. Odd, however, that I didn't see anyone predict what the 2001 Seattle Mariners did (116 wins).
Oh, and yes, I am a mathematician (will obtain BA degree in math this June).
I like to use "gzip hda2.gz" to back up a partition, but before I do that, I mount it, "dd if=/dev/zero of=mountpath/zero", sync, "rm mountpath/zero", and unmounting it before that to attain the smallest image file possible. Of course, this needs to be done from either a Live distro or from a secondary install. I have my Linux on 8GB, and my image is about 1.5 GB.
I thought it was alyooMINium. At least that is how I heard the British version.
I don't know if this or a variation has been posted yet, so at the risk of being redundant, (hey, at least the information that it is my favorite puzzle would be new) here goes nothing:
If you take a bike, you might consider installing tire puncture guards... And maybe a rack to mount above the right tire, and get some bungee cords for tying down stuff on the rack.
Eh, me too....I still find it amusing. In fact, I created an All your Genesis are belong to us page
Mitgleider turned out to be a pain in the knee to get rid of.
It seems to create a process that manages to attach itself to Explorer.exe and kills regedit.exe, msconfig.exe, Spybot, AV programs and pretty much almost any process that can be used to remove the infection.
However, Mitgleider's weekness is that it only attaches itself to explorer.exe in ONE user account. If you end up battling this infection, it is advisable to create a new admin account to get rid of the infection.
No, formatting or even repartitioning will guarantee that data will be erased. I found a software program that can recover NTFS files long after the partition was corrupted, reformatted, even after the hard drive was repartitioned, but you probably knew this.
What is needed is to overwrite random data to all sectors of the drive.
I have been toying with the idea of putting the page file on a partition of its own. Anyone think this is a good idea?
After seeing my freshman roommate take this class, make sure your University will let you skip this class!
This year though, I was wearing shorts before January was out.
I may have to counter that. Some people get things because they are the IN THING, the LATEST RAVE, a MUST HAVE. Right now Firefox is probably becoming that.
Particularly near Central Washington University, the lights change to flashing red in one direction and flashing yellow the other direction between 11PM and 7AM. No detection needed, though it doesn't do anything during the day.
"Wow, you have a good point! I have no choice but to agree with you 100%. I will now burn all my video games!"
As long as I continue to pay taxes, I have EVERY right to bitch about the government. (Yes, I voted today)
Ever seen the Pelican Brief? What makes you so sure these corporations won't send an assassin or two to take out a few justices?
Cell phone anyone?
Actually, I seem to recall Western Digital having a 250GB HDD as early as last fall.