Topic: What is the problem with fractions? How can we fix it?
As it happened on Thursday, 29th July 23:30 - 00:30 GMT

11:31 pm
vare0015:
#mathchat starting now. discussing fractions. w00t. #edchat #elemchat
11:31 pm
ColinTGraham:
Hello everyone. Welcome to #mathchat topic number 3. What is the problem with fractions and how do we fix it?
11:33 pm
tcash:
For the next hour, my tweets will be dedicated to #mathchat topic: What is the problem with fractions and how do we fix it?
11:33 pm
mthman:
We seem to teach fractions at the most basic level (recognition). Does the fraction-phobia extend to teachers too? #mathchat #elemchat
11:34 pm
thnorfar:
teachers definitely lack an understanding of fractions #mathchat #mathchat
11:35 pm
vare0015:
#mathchat before fractions, be sure to reinforce skills such as multiplication (skip counting). this will help with lcm, gcf
11:35 pm
ColinTGraham:
@thnorfar Welcome! and welcome to all our 'viewers' too! #mathchat
11:36 pm
thnorfar:
I think a big problem is understanding that it is part to a whole #mathchat #mathchat
11:36 pm
tcash:
Agreed! RT @thnorfar: I think a big problem is understanding that it is part to a whole #mathchat#mathchat
11:37 pm
thnorfar:
Once we have an understanding we have to make it practical #mathchat
11:37 pm
tcash:
@thnorfar I agree that part to whole is a difficult concept. I teach 5th grade, students just starting out with fractions formally #mathchat
11:37 pm
ColinTGraham:
OK, back to my 1st question - what are we talking about when we say "fraction"? #mathchat
11:38 pm
tcash:
I think that understanding needs to start with multiple versions of contrete representations #mathchat
11:38 pm
thnorfar:
@tcash I think that is the grade where students start to love or hate math. Thanks for helping them to love #mathchat
11:39 pm
tcash:
@thnorfar We use a program called Bridges (Math Learning Center) I've never had so many kids so engaged and positive about math! #mathchat
11:39 pm
penny_222:
I believe part of the perceived fear w/ fraction is not understanding part of whole #mathchat
11:39 pm
thnorfar:
@ColinTGraham When I say fraction, I am talking about a numerical representation of division or part to a whole #mathchat
11:40 pm
thnorfar:
@tcash I am going to have to check Bridges out. Do they have a website? #mathchat
11:40 pm
ColinTGraham:
@vare0015 Do you think reinforcing multiplication is more or less impt than division ? #mathchat
11:40 pm
tcash:
Well put! RT @thnorfar: When I say fraction, I am talking about a numerical representation of division or part to a whole #mathchat
11:41 pm
penny_222:
Conceptualizing & seeing fractions r hard for kids especially if fractions r only taught in circles (pizza & bday cakes) #mathchat
11:41 pm
tcash:
@thnorfar In Elementary, it's Bridges, in MiddleSchool, it's Visual math-such a great resource!http://www.mathlearningcenter.org/ #mathchat
11:42 pm
ColinTGraham:
When I say fraction as a 'person' I am thinking some whole number over another whole number, probably less than one.... #mathchat
11:42 pm
tcash:
@penny_222 So true - need multiple, concrete representations - fraction strips, egg cartons, etc. #mathchat
11:42 pm
thnorfar:
@tcash thanks for the link #mathchat
11:42 pm
ColinTGraham:
When I say fraction as a Maths teacher, I am thinking vulgar, proper, improper, decimal, ratio.... #mathchat
11:43 pm
mthman:
@tcash @thnorfar To me that is the main problem...they only think in terms of a "whole". Mixed fractions then creates turmoil... #mathchat
11:43 pm
Caro_lann:
#mathchat Conflict between fraction as "part of a thing","part of a quantity" and "part of a number" - last is what bothers my students most
11:43 pm
vare0015:
useful videos about teaching students how to add, subtract, multiply and divide fractionshttp://ow.ly/2iAo2 #mathchat
11:44 pm
penny_222:
"@colleenk: #mathchat Language is important. Saying 1 over 3 instead of one-third suggests whole numbers rather than part to whole." Agree
11:44 pm
ColinTGraham:
Links, videos, resources etc will be listed separately on the archive, don't worry if you miss them now! #mathchat
11:44 pm
tcash:
@mthman Egg cartons are good for that - 18/12 - we have 18 eggs, but each carton only fits 12, so we need another egg carton (eg) #mathchat
11:44 pm
tcash:
RT @vare0015: useful videos about teaching students how to add, subtract, multiply and divide fractions http://ow.ly/2iAo2 #mathchat
11:45 pm
librario868:
Problem w/fractions for many of my students was lack of basic skills; found ratio to be a better term; different visualization. #mathchat
11:45 pm
ColinTGraham:
RT @penny_222: I believe part of the perceived fear w/ fraction is not understanding part of whole #mathchat
11:46 pm
vare0015:
CoolMath4Kids has a nice section about fractions for your students http://ow.ly/2iAqu #mathchat
11:46 pm
ccampbel14:
I think we need 2 remember 2 model fractions many ways: area model, line model, parts of sets, part-to-part/whole, ratios, etc. #mathchat
11:46 pm
librario868:
We need to use teacher and student-created videos more. #mathchat
11:46 pm
tcash:
@librario868 Interesting! Ratio easier to conceptualize? #mathchat
11:47 pm
ColinTGraham:
@librario868 One potential confusion with ratios is that 3:4 represents 3/7 to 4/7... and not 1/4 vs. 3/4 #mathchat
11:47 pm
tcash:
@librario868 Yes - and get students to create videos - "to teach is to learn" #mathchat
11:47 pm
ColinTGraham:
At what age do you think children grasp the idea that divide in two is not the same as divide in half? #mathchat
11:48 pm
ccampbel14:
I think every1 can be successful with fractions but most kids hear that they are so difficult. Then they aren't 'open' to start #mathchat
11:48 pm
vare0015:
@tcash 2 go w egg carton idea: add an "egg" 2 a carton each day and ask students to describe what portion of the carton has eggs. #mathchat
11:49 pm
penny_222:
I used tangrams 2 tch fractions 2 gr. 8 sumr schl. Never done b4 b/c feel 2 much curriculum to 'play'. I was wrong, need play time #mathchat
11:50 pm
tcash:
@vare0015 Yes, and we lay yarn across egg carton to divide up in different ways, pretty effective #mathchat
11:50 pm
mthman:
@thnorfar So right...too much parts of a whole (fractions) and not much connection to other representations! Bloom's at it's worst #mathchat
11:51 pm
vare0015:
Use fractions in fun data collection. Poll class for favorite color, etc and ask what portion of class likes red? #mathchat
11:51 pm
mthman:
@tcash Egg cartons are great manipulative, agreed, but they need to go further in connecting to multiple numeric forms! #mathchat
11:51 pm
Caro_lann:
#mathchat I despair when my adult learners still talk about the "bigger half". Everyday language gets in the way of the maths.
11:51 pm
thnorfar:
@ColinTGraham Divide in two is not the same as divide in half? I thought it was. I learned something tonight THANKS #mathchat
11:52 pm
tcash:
@mthman True - it's one place to start, especially in 5th grade if kids haven't had solid conceptual base to build on #mathchat
11:52 pm
mthman:
Back at home...bring on your thoughts! Who looks forward to teaching fractions? Raise your (virtual) hand!! #mathchat
11:53 pm
tcash:
@thnorfar Yes! "Bigger half" a pet peeve! ;-) #mathchat
11:53 pm
thnorfar:
I also think we need to reduce what aspects of fraction need to be mastered and when. #mathchat
11:53 pm
tcash:
@mthman I look forward to fractions - strangely enough, it's the unit my 5th graders usually do best at #mathchat
11:54 pm
ColinTGraham:
@vtdeacon says his 5-yr son is very good at choose the big half! #mathchat
11:54 pm
tcash:
Yes! Step by step for deep und RT @thnorfar: I also think we need to reduce what aspects of fraction need to be mastered and when. #mathchat
11:54 pm
penny_222:
I always reteach fractions. Many students don't understand equivalent #mathchat
11:54 pm
ruth4916:
@Caro_lann Agree! What manipulatives appropriate/effective for adults? #mathchat
11:55 pm
ccampbel14:
@ColinTGraham Maybe all the different forms of fractions and what they represent. #mathchat
11:55 pm
thnorfar:
@penny_222 Equivalent. I have them in high school. They don't get any of it :) #mathchat
11:55 pm
ColinTGraham:
@Caro_lann You say "fraction as a part of a number" is a problem for your adults. How do you approach this? #mathchat
11:55 pm
mthman:
Name your favorite math project that is built around fractions... #mathchat
11:55 pm
librario868:
One of the problems is tht most think that math is left brain, as if elitest, but I think that it's very right brain too DaVinci. #mathchat
11:56 pm
thnorfar:
@mthman Planning a dinner party for Paula Dean #mathchat
11:56 pm
ColinTGraham:
@mthman I have three favourites! Origami, Tangrams and Smarties (although M&Ms work too!) #mathchat
11:57 pm
penny_222:
One thing middle student excel at is money problems. Using fractions & money helps some spec ed students #mathchat
11:57 pm
mthman:
Woot! ---> RT @tcash I look forward to fractions - strangely enough, it's the unit my 5th graders usually do best at #mathchat
11:57 pm
mthman:
@thnorfar Please elaborate...do the kids get to shop & prepare a meal? #mathchat
11:58 pm
Caro_lann:
@ColinTGraham #mathchat Number line seems to work best. 0 -1 and it also links to probability scale where I think fraction notation useful
11:59 pm
mthman:
Yes...please share if you have them! RT @thnorfar: anyone have links to their projects so that others could use? #mathchat
11:59 pm
Saskateach:
Great ideas @ any grade?@ColinTGraham: @mthman I have three favourites! Origami, Tangrams and Smarties (although M&Ms work too!) #mathchat
11:59 pm
ColinTGraham:
How about more complex 'conceptual' fractions such as %. eg increase by 200% = x3 not x2... #mathchat
11:59 pm
ccampbel14:
I like using egg cartons also, but don't always use the 12 sections. Cut off 2 so there are 10 parts & connect 2 decimals&percents #mathchat
11:59 pm
thnorfar:
@mthman They don't shop. They get recipes with different serving sizes. They have to create a groc list that feeds 11 people. #mathchat
11:59 pm
librario868:
Students created math games as a project. #mathchat
11:59 pm
tcash:
@mthman I think part of why they do well in fractions is Bridges has many ways 2 represent-kids pick what they're comfortble with #mathchat

12:00 am
mthman:
Always comes down to $$ RT @penny_222: 1 thing middle stdt excel at is $$ problems. Using fractions & $$ helps some spec ed stdts #mathchat
12:00 am
ColinTGraham:
@thnorfar Scaling recipes is a useful activity. Also timings for preparing the meal itself. #mathchat
12:01 am
thnorfar:
@mthman I will place it on my wiki. Check out projects folder http://norfarcur.pbworks.com/ and named paula dean. #mathchat
12:01 am
iwantwealth:
We wait too long to introduce fractions to children and introduce them as a separate "thing". The process is not organic. #mathchat
12:01 am
ccampbel14:
I was very structured explaining how 2 'say' fractions. Numerator is our counting #s and the denominator is an ordinal #. Helped! #mathchat
12:01 am
tcash:
@ccampbel14 we use paper egg cartons cut as different wholes for adv kids - 10, 12, 18, 20, 30.. helps kids think more flexibly #mathchat
12:05 am
ColinTGraham:
Does work with money not avoid the fact that 1.50 is not 1 and 50/100 but rather 1 and 50 smaller things? #mathchat
12:06 am
ruth4916:
@Caro_lann Students have experience with cash and are usually very motivated to get it right. #mathchat
12:06 am
mthman:
@thnorfar Okay, so condense it to a lunch time fundraiser...root beer floats or lemonade...profit vs portion size #mathchat
12:06 am
ccampbel14:
I get kids 2 cut pics out & show halves, thirds, fourths, fifths, sixths, etc. Gr8 for formative assessment 2 see what they know. #mathchat
12:06 am
ColinTGraham:
There are some excellent resources on the Wiki preparation page for prof dev and structured workshops from NCETM in the UK #mathchat
12:07 am
ColinTGraham:
https://www.ncetm.org.uk/resources/13230 #mathchat
12:08 am
thnorfar:
@mthman lunch time fundraiser sounds great. What grade do you teach? #mathchat
12:08 am
mthman:
@ColinTGraham Currency is always the great equalizer...whether it's fractions, multiplication, or decimals...they R on fam ground #mathchat
12:09 am
aliharper20:
RT @penny_222: I always reteach fractions. Many students don't understand equivalent #mathchatsame here!
12:09 am
ccampbel14:
I like this website for many of the activities but here is a section on fractions: http://bit.ly/8VU75#mathchat
12:09 am
mthman:
@thnorfar Seventh & Eighth....pre-alg 1 & 2 as well as algebra #mathchat
12:09 am
penny_222:
During parent lit./math night we had students teach fractions to parents & then they played games w/ parents (fraction dominos) #mathchat
12:10 am
ColinTGraham:
Tangrams: take smallest triangle as a unit area. I usually start with a rectangle and do a folding activity to make the set... #mathchat
12:11 am
ColinTGraham:
M&Ms (Smarties): 1 package, count contents, how many of each colour, 5 out of 27 are blue etc... #mathchat
12:11 am
mthman:
How many of you bring in the pros (carpenters, mechanics, bankers, etc.) when teaching fractions? #mathchat
12:11 am
thnorfar:
@ColinTGraham do you have a site showing how to do all your suggestions (tangrams, origami). I would like to "borrow" them :) #mathchat
12:12 am
tcash:
@ColinTGraham Smarties also good for relating fractions to probability (at least in elementary!) ;-) #mathchat
12:12 am
ccampbel14:
Just looked over the mathschat wiki...what is a vulgar fraction? Is it an improper fraction? #mathchat
12:13 am
penny_222:
Math fear is engrained in students if tchrs & parents say 'I don't get it so I can't help'. need 2 tch prob. solving strategies #mathchat
12:13 am
ColinTGraham:
@thnorfar I am putting together my resources for tangrams and origami but send your email by direct message and I'll send Word doc #mathchat
12:13 am
Caro_lann:
@ccampbel14 Vulgar fractions are just common fractions. Can be proper or improper #mathchat
12:14 am
ColinTGraham:
@ccampbel14 Vulgar fraction is probably a euro-term! Common fraction in North Am I think! #mathchat
12:14 am
tcash:
@penny_222 Yes, and I can't tell you how many times I've heard parents say they had horrible memories of learning fractions #mathchat
12:14 am
ColinTGraham:
Improper fractions are sometimes called top-heavy fractions. #mathchat
12:14 am
thnorfar:
@ColinTGraham You are the best. I am sending you my email now. I was wondering about vulgar fracs as well. Thanks for clarifyng #mathchat
12:15 am
ccampbel14:
I do baking with fractions. I like to ask kids how they would make a larger/smaller batch & see what happens. #mathchat
12:15 am
ColinTGraham:
I usually steal one and eat it! RT @tcash: Smarties also good for relating fractions to probability (at least in elementary!) ;-) #mathchat
12:15 am
padgets:
@penny_222 #mathchat like tihis idea, how did you organize it?
12:16 am
mthman:
@penny_222 I think at that point you should invite your parents in to learn fractions w/your students...let them model 4 children #mathchat
12:16 am
ColinTGraham:
@ccampbel14 Baking or cookery works where countries use cups as measures, not so practical with metric... #mathchat
12:17 am
penny_222:
Have to go thxs for amazing #mathchat.
12:17 am
ColinTGraham:
@penny_222 Bye Penny, archive will be online in about 45 minutes! #mathchat
12:18 am
EightFalls:
A fraction that has an integer numerator and integer denominator. m/n where m and n are both Z and n (not=) 0 is a vulgar frac #mathchat
12:19 am
ccampbel14:
Have learned 2 be careful with my choice of words-Used 2 say couldn't leave fractions in improper form & kids thought it was 'bad'#mathchat
12:19 am
ColinTGraham:
Once, IF, students get the concept of fractions as being equal parts of something, how do we then go on to 4-rules or manipulation #mathchat
12:20 am
Caro_lann:
@ColinTGraham: @ccampbel14 Baking or cookery works where countries use cups as measures, not so practical with metric. Or Imperial #mathchat
12:20 am
thnorfar:
@ccampbel14 In Algebra, calc we use improper fractions more than anything else #mathchat
12:20 am
ccampbel14:
@ColinTGraham Canada is metric but we generally still use cups, etc. I have a metric set as well but don't use it as much #mathchat
12:20 am
ColinTGraham:
@EightFalls Thank you for that definition! I hope you can also explain it to parents and students ;-) #mathchat
12:20 am
tcash:
I think it's a good sign when my kids start to use fractions within fractions - like one-and-a-half/eigths #mathchat
12:21 am
padgets:
#mathchat Hi everyone, I wanted to let you know I am practicing my math from all the suggestions you gave me last week, Thanks!
12:21 am
ccampbel14:
We can also use basic carpentry connections. I still go to the store and look for a 2 by 4 #mathchat
12:22 am
ColinTGraham:
@padgets Great Sharon! Keep going, it's not just the exercise people who need encouragement! #mathchat
12:22 am
mthman:
Learning operations w/fractions 2 quickly & w/a lack of context is like learning abstract algebra! Context + connections = success #mathchat
12:22 am
gailly123:
@padgets Thats great. The more you practice the easier it will become #mathchat
12:23 am
ColinTGraham:
Interestingly, manipulation of fractions i.e. 4-rules, does not seem to be part of adult numeracy, at least in the UK #mathchat
12:23 am
Caro_lann:
#mathchat Move on to adding and subtracting by investigating equivalent fractions. E.g. 1/2 =2/4=4/8 etc. Then introduce common denominator
12:23 am
mthman:
Woot! U go girl! RT @tcash: I think it's a good sign when my kids use fractions within fractions - like one-and-a-half/eigths #mathchat
12:23 am
evemarfil:
Pittsburgh board, teachers OK pact http://www.post-gazette.com/pg/10166/1065651-298.stm #teachers #edchat #edtech #mathchat #lrnchat
12:24 am
padgets:
@ccampbel14 #mathchat in science class we only use metric one of the labs is converting a english receipe to a metric version, then cook it
12:25 am
ColinTGraham:
@tcash How would you transition from one-and-a-half eighths to three sixteenths...? #mathchat
12:25 am
Caro_lann:
#mathchat My learners don't HAVE to learn 4 rules but they often WANT to so they can help their kids. So I teach it with a light touch.
12:25 am
ccampbel14:
@thnorfar I found that b/c of how I used to present them , my kids thought they had made a mistake when they got an improper ans. #mathchat
12:26 am
thnorfar:
Absolutely!RT @Caro_lann: #mathchatMove on to adding and subtracting by investigating equivalent fractions. Then introduce com den #mathchat
12:26 am
evemarfil:
Pittsburgh board- In 2010/11-Teachers with master's degrees will earn $4,000 a year more#teachers#edchat #edtech #mathchat #lrnchat
12:26 am
thnorfar:
@ccampbel14 Ahh! It is a common thing. I have to tell that improper is not bad just a name #mathchat
12:27 am
ColinTGraham:
Do we need to spend more time on fractions which don't have 'special' names like half, third and quarter..? #mathchat
12:27 am
tcash:
@ColinTGraham Egg cartons - stretch more pieces of yarn to divide the egg cartons in a diffrnt way (but still keep same # of eggs) #mathchat
12:27 am
ruth4916:
@Caro_lann Missiing terminology? What are 4 rules? #mathchat
12:27 am
padgets:
#mathchat would someone dm me the 4 rules so I do not take up space in the current conversation? thanks :-0)
12:27 am
evemarfil:
Pittsburgh board, teachers OK pact http://www.post-gazette.com/pg/10166/1065651-298.stm #edchat #edtech #mathchat #lrnchat
12:28 am
tcash:
Having the kids make and compare fraction strip kits are useful at the 5th grade level when the kids are so concrete #mathchat
12:28 am
mthman:
How much can you learn about fractions from a picture? Sunday ads? The best teaching aids are usually right there in front of us! #mathchat
12:29 am
ColinTGraham:
@thnorfar It sometimes works if you tell Ss that for a fraction to be proper, it only has whole numbers, and the smaller is on top #mathchat
12:29 am
Caro_lann:
@ruth4916 #mathchat 4 rules is add subtract multiply divide. Maybe a UK term
12:29 am
ColinTGraham:
Why I say 4 rules: add subtract multiple divide - unless anyone has different ideas? ;-) #mathchat
12:29 am
tcash:
@mthman Yes! Newspapers are great - esp ads - Figure out how much it costs to ad 1/4 page, 1/8 page, etc. or wk backwards #mathchat
12:30 am
ccampbel14:
Another mistake made: 'You CANNOT use decimals in a fraction'. Now I say it's convention to write the answer in proper form. #mathchat
12:30 am
mthman:
@tcash That so reminds me of a flying lesson where students made fraction strips to tally miles traveled around the world! #mathchat
12:30 am
EightFalls:
@ColinTGraham The Vulgar fraction (rational numbers) definition was based on the topic dependent integers being satisfied. #mathchat
12:31 am
ColinTGraham:
@ccampbel14 Big mistake is that decimal numbers are actually mixed numbers, with a whole part and a decimal fraction... #mathchat
12:31 am
mthman:
@tcash I'll see if I can find the article & tweet the link (from NCTM MTMS magazine)...years ago...hmm #mathchat
12:31 am
tcash:
@mthman Cool project! I think the more fractions are related to "real world" and less abstract, the more kids are likely to get #mathchat
12:32 am
librario868:
Thanks for some of the clarifications; I just been assimilating all the posts; wasn't sure what to ask. #mathchat
12:32 am
Caro_lann:
#mathchat Decimal fractions and vulgar fractions. Do percentages count as fractions too?never been quite sure.
12:33 am
ColinTGraham:
OK, looks like we only scratched the surface again! Follow-up on Monday! #mathchat
12:33 am
tcash:
@mthman Would love a copy of the article! Thanks! #mathchat
12:33 am
ccampbel14:
In Alberta, @ junior high, we have split add/subtr of fractions in gr 7 & mult/div of fractions to gr 8. Hope this works better #mathchat
12:33 am
mthman:
@tcash That's the key! Less abstract, more relative to something they are likely to encounter #mathchat
12:33 am
ColinTGraham:
Percent comes from the Latin out of 100... so I guess so! @caro_lann #mathchat
12:34 am
ColinTGraham:
If you enjoyed this half as much as I did, I enjoyed it twice as much as you! Thanks everyone #mathchat
12:34 am
mthman:
Summer School is out...should be able to join! RT @ColinTGraham: OK, looks like we only scratched the surface again! F/U on Mon! #mathchat
12:34 am
koolkat222:
My curriculum has +/- fractions along w/ mult/div fractions. I have them master +/- first. Otherwise it's too confusing for them. #mathchat
12:34 am
Caro_lann:
#mathchat Can't believe I stayed up till 1.30 am again! Good chat this week!
12:34 am
EightFalls:
@Caro_lann Percentages are a special classification of fractions where the denominator is 100. #mathchat
12:34 am
tcash:
@mthman Kids already come with a good understanding of fractions- 1/4 tank of gas, half cookie- we mess it up w rules to memorize #mathchat
12:35 am
ColinTGraham:
Thanks to @tcash @mthman for helping with the questions/prompts #mathchat
12:35 am
cybraryman1:
My Fractions and Decimals page: http://bit.ly/mo6eb #mathchat
12:35 am
tcash:
Haha! Clever! Same here! RT @ColinTGraham: If U enjoyed this 1/2 as much as I did, I enjoyed it twice as much as you! THX evryone #mathchat
12:35 am
ColinTGraham:
Feel free to keep going, but we are officially over time! #mathchat
12:36 am
tcash:
@ColinTGraham Thanks for a superb #mathchat !
12:36 am
mthman:
Thanks to @tcash @ColinTGraham @thnorfar @Saskateach for the awesome #mathchat tonight! Have a wonderful weekend!
12:36 am
thnorfar:
great chat everyone. #mathchat
12:36 am
ColinTGraham:
@Caro_lann Thanks Carolann, see you again on Monday...? #mathchat
12:36 am
mthman:
BINGO! RT @tcash Kids come with a good understanding of fractions- 1/4 tank of gas, half cookie- we mess it up w rules to memorize #mathchat
12:36 am
padgets:
RT @cybraryman1: My Fractions and Decimals page: http://bit.ly/mo6eb #mathchat
12:38 am
mthman:
Like a true math geek! RT @tcash @ColinTGraham: If U enjoyed this 1/2 as much as I did, I enjoyed it twice as much as you! THX! #mathchat
12:38 am
ccampbel14:
@Caro_lann I think that % represents a fraction with a denom. of 100. It'ss used so often that we have the % symbol to b efficient #mathchat
12:38 am
FlyontheCWall:
looooooooooots of hands on!!!!! #mathchat
12:38 am
ColinTGraham:
@thnorfar See you again next time Telannia, glad you enjoyed your first chat! #mathchat