Random Thoughts

Discussion in 'Teacher Time Out' started by Ms. I, Dec 28, 2008.

  1. Aliceacc

    Aliceacc Multitudinous

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    Jun 9, 2012

    It's been at least 20 years since I did this, so I'm hoping some other math teachers wake up soon.

    As to your basic question, p implies q is a basic conditional statement. It means that you're given a statement of the "If this, then that" form. p implies q means you know that every time p is true, q is also true. So if I tell my kids: "If you argue one more time, you're grounded" and they argue, they can expect to be grounded.

    Some basic rules from a very rusty memory:

    Law of Detachment: if you know p -> q is true, and you know p is also true, you can conclude that q is true. (Mom says "if you clean your room, you can go to the movies. You clean your room. conclusion: you can go to the movies.)

    Law of Disjunctive Inference: If you know p V q is true, then either p is true or q is true, or both. (You know that the statement "Today either I'll do laundry or school work" is true. Then you know that either I do laundry or I do school work, or possibly both.)

    Law of Contrapositive: If a statement is true, so is its contrapositive. The contrapositive is what you get when you both reverse and negate the statement. So the doctor tells me that "If you diet correctly, you will lose weight." Then it must be true that "If you didn't lose weight, you didn't diet correctly"-- because if you HAD, then you would have lost the weight.

    DeMorgan's Law: ~(p V q) = ~P ^ ~ q....kind of like the dsitributive property for logis-- the negation hits both parts of the the disjunction along with the connector. In words: If it's not true that (I'm a mom and a wife) than either I'm not a mom or I'm not a wife.

    Does that help at all?
     
  2. Aliceacc

    Aliceacc Multitudinous

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    Jun 9, 2012

    Wait, I think I've got it, but no promises.

    PROVE: (AVB) -> C = (A -> C) ^ (B -> C)

    (AVB) -> C GIVEN
    ~C -> ~ (AVB) LAW OF CONTRAPOSITIVE

    ~C -> (~A ^ ~B) DEMORGAN'S LAW

    (~C ->~A ) ^ (~C -> ~B) -- THERE'S A NAME FOR THIS, I FORGET THE NAME OF THE LAW... SOMETHING TO DO WITH CONJUNCTIONS... maybe Conjunctive Simplification or something similar???

    (A -> C) ^ (B-> C) LAW OF CONTRAPOSITIVE
     
  3. Aliceacc

    Aliceacc Multitudinous

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    Jun 9, 2012

  4. MathEqualsLove

    MathEqualsLove Companion

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    Jun 9, 2012

    Mike, has your class covered truth tables yet? Here's a resource I found online that introduces the concept of p implies q with truth tables. http://www.matthew-hoelle.com/1/75/resources/document_263_1.pdf When I took this class a few years ago, we started with truth tables to prove tautologies. Then we could use those tautologies to write out proofs.

    Here is another good introduction to proofs: http://math.berkeley.edu/~hutching/teach/proofs.pdf

    Please, please, please do not give up on your dream of a math degree. This class you are taking, a math degree as a whole, they aren't meant to be easy. They are meant to stretch you, to challenge you.

    Though math had always came easily to me, proofs were something I really had to work at. But, I'm so thankful I did. I scoured the internet for more resources. I checked out additional textbooks by other authors from the library. I ended up making life-long friends by meeting with classmates to work on the problem sets.

    Having just graduated and completed my math degree, I can say that it was the math classes that challenged me the most that really solidified my love of math. Will I ever love proofs? Probably not. But, I know that they are beautiful, powerful things.

    My freshman year in college, my advisor gave us an overview of the math classes we would have to take. I vowed, then and there, that I would never take a topology course. What did I end up taking due to a scheduling conflict my junior year? Introduction to Topology. I can honestly say it was the hardest class I've ever taken in my life. It was an entire semester of proofs. No formulas. No equations. No calculations. We wrote proof after proof after proof. We studied about how a coffee cup and a doughnut were the same. (Seriously--you need to check out the wikipedia article on topology to seen an animation of this.)

    Throughout the course, I complained to anyone who would listen about the horrors of topology. I worked hard and, amazingly, made an A. However, looking back, I will be a better math teacher because of this course.

    I guess what I'm trying to say is this: Take your math degree one step at a time. Focus on the classes you're taking now. Work hard. Do your best. Learn everything you can learn. Even if you don't feel like your professors are teaching you as well as they should, you can glean from that experience to help shape how you will teach. Don't stress over the classes that are ahead of you. Instead, just keep repeating this process with each new set of classes.
     
  5. Aliceacc

    Aliceacc Multitudinous

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    Jun 9, 2012

    Mike, did that proof make sense?
     
  6. TeacherGroupie

    TeacherGroupie Moderator

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    Jun 9, 2012

    This, resoundingly. And the same advice goes for anyone learning any subject.
     
  7. runsw/scissors

    runsw/scissors Phenom

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    Jun 27, 2012

    I am so **** sick of this dog! She runs away whenever we put her outside. She yaps incessantly when we leash her so she won't run away. She sh**s and pees all over the house. And you can tell by the look in her eyes it's all a game to her! If I had my way I'd take the little b***h to the pound and tell the kids she ran away again and was hit by a car.
     
  8. Ms. I

    Ms. I Maven

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    Jun 27, 2012

    aww, runs, I'm sorry the dog isn't cooperative! I just moved into an apt & one of my main concerns was how to do the whole bathroom situation with my dog. Right up front, I bought that Pet Block spray from Nature's Miracle to hopefully help my dog not urinate in the apt & thankfully it worked:

    http://www.petco.com/product/112646/Natures-Miracle-Pet-Block-Repellent-Spray.aspx

    Once a dog urinates somewhere, unless it's cleaned up immediately, the dog can smell it forever, so I don't know how to prevent a dog from not going in a certain spot once he's urinated there already.
     
  9. Ms. I

    Ms. I Maven

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    Jun 27, 2012

    I had a nice day on Monday. I drove to Santa Monica & went to a couple of nice shopping malls. I also did some shopping at the Container Store! I've bought a LOT at HomeGoods lately too! Also at Pier One Imports.
     
  10. runsw/scissors

    runsw/scissors Phenom

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    Jul 5, 2012

    This moving in stuff is taking much longer than I expected. The house looks like a war zone. There are boxes everywhere with stuff that needs homes or stuff to be sold in the garage sale. The garage is slowly emptying, but it is taking forever. Anyone have suggestions how to make this happen faster? It all must have homes or be sold. I can't just stack boxes everywhere. There isn't room for that.
     
  11. Ms. I

    Ms. I Maven

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    Jul 23, 2012

    Well, I'm down to this last full week of vacation. I actually checked my work email & sent a few out tonight. (Grumble! :mad:)
     
  12. Aliceacc

    Aliceacc Multitudinous

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    Jul 24, 2012

    What do you have planned for your last week, Ms. I?? Anything exciting??

    Actually, for some reason (not sure, it's early and I'm not really functioning yet) your post reminded me that I really should start getting my suits to the dry cleaners! I have a good month before school starts, but I take them in small batches! So I'll take the first few in this morning.
     
  13. czacza

    czacza Multitudinous

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    Jul 24, 2012

    I check my school email all summer...mostly I clean out random spam that pops up, but frequent checking allows me to keep current on any announcements or important communications that are sent out. Yesterday I received an email about our afterschool enrichment program and I was able to get right back to the organizer so I can secure the class and day I'd like. I find that with email, 'the early bird gets the worm' often applies.

    Alice...not suits, but I've already sent two pair of shoes out for new heel bottoms!:)

    Headed to the beach tomorrow for a few days! Still over a month of summer vaca left!
     
  14. Aliceacc

    Aliceacc Multitudinous

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    Jul 24, 2012

    Oh, yeah, shoes. That's another thing I should check.

    Like you, I check my school's email every day. It's not so much about programs in my case. But if a kid has lost a parent or something, they post that. If it's one of my kids, I like to try to get to the wake.

    Knock wood, this summer has been blessedly quiet this far!
     
  15. donziejo

    donziejo Devotee

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    Jul 24, 2012

    9 days left. Oh, where did the summer go? I have a friend flying in to spend the next 9 days with me. Not the best timing. I gave her fair warning that we will be in my classroom getting it set up for at least one day. (I've done most of it)

    And the 9th day she will be sitting in the airport for several hours as I have to work. Oh well, we are headed to the beach tomorrow!!! Gulf Shores in Alabama:)
     
  16. Ms. I

    Ms. I Maven

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    Jul 24, 2012

    That's nice of you to ask Alice! :) Yesterday (Mon.), a friend visited me & then we went to the mall. These last few days, I won't be doing too much except savoring the last days of relaxation. My clothes are out from the cleaners. I made a hair appt for the day before work. I'll polish my nails & pluck my eyebrows. I would get a pedi & mani & have my brows threaded, but I'm really cutting back on spending from now on. I know I spent thousands this summer with my new apt & more. Another grad class of mine started yesterday. :mad:

    How about you Alice?

    What timing...a guest all the way up until you have to work. Well, have fun! :)
     
  17. Aliceacc

    Aliceacc Multitudinous

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    Jul 24, 2012

    Do you even need to ask :p??

    We leave for Disney a week from tomorrow.

    When we return, we still have 2 or 3 weeks of summer left.
     
  18. runsw/scissors

    runsw/scissors Phenom

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    Jul 24, 2012

    Who has used Vistaprint for anything other than business cards and address labels? I am looking at their selection of wedding invites etc.
     
  19. Ms. I

    Ms. I Maven

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    Jul 25, 2012

    What a way to spend the last few days of my vacation! :mad:

    I ordered a rug back on 5/29 a few days before I even moved & it hasn't been in stock until now. I finally got an email saying it's been shipped & when I check the tracking #, it says it will be delivered TODAY, but it can't give the time. Well, I keep checking the FedEx website since it will update itself regularly & no new news. It approaches 5pm so I call to see when the latest it will come today. At 1st, the guy says 8pm, but then says he's sorry, it will be sometime Fri (today's Wed). I stayed home all day not wanting to miss this delivery because it's a large rug & I specifically requested that it be brought up to my 2nd floor apt. Sigh! :mad:
     
  20. Ms. I

    Ms. I Maven

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    Aug 4, 2012

    I'm marinating some organic chicken drumsticks in this mixture of:

    soy sauce
    olive oil
    lemon juice
    pepper
    this hot & spicy seasoning containing red pepper flakes

    I'm just winging it. We'll see how it tastes this evening!
     
  21. TeacherNY

    TeacherNY Phenom

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    Aug 4, 2012

    How are you cooking the chicken, Ms.I? In the oven? Last week I made chicken in the crockpot with just some garlic, olive oil, lemon juice and a few spices. It came out really good! The chicken fell right off the bone and I usually hate chicken on the bone.
     
  22. Ms. I

    Ms. I Maven

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    Aug 4, 2012

    In the oven on a bakinig sheet. :) I don't have a crockpot (but I have a good deep fryer, which I have yet to use).
     
  23. runsw/scissors

    runsw/scissors Phenom

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    Aug 12, 2012

    So, how did it turn out?
     
  24. Ms. I

    Ms. I Maven

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    Aug 12, 2012

    Very tasty & juicy, thanks for asking. I have more organic chicken to cook again soon!
     
  25. runsw/scissors

    runsw/scissors Phenom

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    Aug 27, 2012

    Ugh, this staying at home stuff is for the birds. It's boring. I do laundry. I clean the kitchen. I mop floors and change sheets and wipe counters and vacuum carpets and put the dog out and bring the dog in and play way too many hours of computer games. So far there have been no sub calls, but I expect them to start coming in after Labor Day. Until then... Even working on the scrapbooking pictures and reading get old. I wish I had somewhere to be each morning.
     
  26. Aliceacc

    Aliceacc Multitudinous

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    Aug 28, 2012

    Can you find some volunteer work?

    With the economy, most places that help people have had to lay off staff, and would probably welcome some volunteers.

    During my SAHM years, I volunteered with a local adoption group. I would greet infant adoptees at JFK, take them from their escorts, clear them through customs and immigration, then bring them out to meet their families for the first time.

    It was exhillerating and I seldom left dry eyed.

    Find a cause that speaks to you and volunteer.
     
  27. Ms. I

    Ms. I Maven

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    Sep 6, 2012

    I'm so glad to see this board up & running again! I look forward to going on here while getting ready for work in the morning and when I get home from work.
     
  28. runsw/scissors

    runsw/scissors Phenom

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    I had my first sub job today! Yay! I was sooooo ready to get to work. Fourth grade for a half day. It was great!
     
  29. Missy

    Missy Aficionado

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    Sep 6, 2012

    Congrats, runs! Wish you lived closer; we have a ton of meetings this year.
     
  30. Ms. I

    Ms. I Maven

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    Sep 7, 2012

    Yay, it's finally Friday! Work will be good, but then after that, I'm going to the fair! :D But then, all weekend, it's plenty of homework for school & work! :mad:
     
  31. Ms. I

    Ms. I Maven

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    Sep 10, 2012

    I'm so swamped, I just noticed on my calendar that I have this Friday off! Yay! I had planned to go to the fair w/ a pal on Thurs after work. :)
     
  32. Ms. I

    Ms. I Maven

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    Yay, this coming week's going to be great! I'll only work 2 days this week, which means a 5-day weekend for me & I plan to go to the fair a 4th & final time. I went w/ 3 different people the previous times.

    I have a 10-12 page paper due in a class & 3 S&L (speech & language reports) to do.
     
  33. czacza

    czacza Multitudinous

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    Sep 23, 2012

    We have Wednesday off for Yom Kippur holiday.
     
  34. smalltowngal

    smalltowngal Multitudinous

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    Sep 23, 2012

    I wish we got a day off soon. Nope, not until Thanksgiving, but luckily it's a whole week.
     
  35. Bella2010

    Bella2010 Habitué

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    Sep 23, 2012

    I'm sitting outside watching my little boy play and thinking how badly I don't want to endure a professional day tomorrow. :mad: DH wants KFC is for dinner, and I'm actually okay with because I don't want to clean the kitchen up after cooking! I realize the severity of my double-chin because my computer screen is reflecting my face. :eek:

    Beth
     
  36. giraffe326

    giraffe326 Virtuoso

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    Sep 23, 2012

    I wish we had a day off, too. I am taking a sick day on Thursday and going in to do my kids' reading assessments. I just can't get it all done :(
     
  37. becky

    becky Enthusiast

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    Sep 23, 2012

    I was just sitting here wishing summer hadn't dissolved so quickly. It was so very nice having Jeannie home each day.
     
  38. smalltowngal

    smalltowngal Multitudinous

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    Sep 23, 2012

    giraffe~it's sad that you have to take a sick day to do that. :( The school doesn't provide a sub for the teachers to get it all done?

    If I didn't have too many PD workshops already lined up to go to this semester, I might have snuck a sick day in there before Thanksgiving break, but the PDs will give me enough of a break, plus all the ARD meetings I have.
     
  39. czacza

    czacza Multitudinous

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    Sep 23, 2012

    Hey Becky! Haven't heard from you in a while!
    What gade is Jennie in now? What are you keeping busy with?
     
  40. FarFromHome

    FarFromHome Connoisseur

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    Sep 23, 2012

    I'm counting down...one more week of school and then I get fall break! I'll have 6 school days off. I'm ready for the break-we've had kids in school since July 30th!
     

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