Topic (follow-up to Friday, 18th March 2011):
How do I use technology to teach the language of mathematics?
As it happened on Monday, 21st March 2011, 20:30 - 22:00 GMT
8:31 pm
republicofmath:
@ColinTGraham @mathchat Where is #mathchat?
8:32 pm
ColinTGraham:
#mathchat is here Gary! @republicofmath
8:32 pm
ColinTGraham:
Hello everyone, welcome to Monday's #mathchat
8:32 pm
ColinTGraham:
Today's topic is: "How do I use technology to teach the language of mathematics?" #mathchat
8:32 pm
republicofmath:
What, pray tell, do we mean or understand by "the language of mathematics"? #mathchat
8:33 pm
ColinTGraham:
@republicofmath Well, that was the sticking point last week... #mathchat
8:34 pm
republicofmath:
Oh dear! I had to know what happened in "a previous episode" ?! #mathchat
8:35 pm
ColinTGraham:
We were trying to decide whether it meant the specialized language used in maths or whether mathematics was a language #mathchat
8:37 pm
ColinTGraham:
One concensus view that seemed to emerge was that we should be increasing writing/communication in mathematical studies #mathchat
8:38 pm
republicofmath:
What if we assumed it were (I learned proper English!) the specialized language used in math(s). What technology helps teach that? #mathchat
8:38 pm
teachdig:
@ColinTGraham I agree with that idea. #mathchat
8:39 pm
republicofmath:
Just what I do via WordPress blogs @ColinTGraham ... we should be increasing writing/communication in mathematical studies #mathchat
8:39 pm
PeteCHall:
RT @ColinTGraham: We were trying to decide whether it meant the specialized language used in maths or whether mathematics was a language #mathchat
8:39 pm
ColinTGraham:
@teachdig Hi Dvora! Yes, there is a movement towards increased levels of communicating understanding in the tweaked curric here #mathchat
8:40 pm
ColinTGraham:
@republicofmath In terms of tech, blogging about maths, videos explaining symbols, terminology etc. #mathchat
8:41 pm
maxmathforum:
#mathchat One way tech is great for teaching math language is that we still mostly have to write to communicate with each other online
8:41 pm
teachdig:
It is definitely a part of IB math both at MYP & DP level #mathchat
8:41 pm
maxmathforum:
#mathchat The Math Forum (where I work) has online problem-solving challenges. Students have to explain in plain text their math thinking
8:41 pm
teachdig:
Have students explain how to do something mathematical is challenging and a worthy goal... I think #mathchat
8:42 pm
maxmathforum:
#mathchat and teachers or volunteer mentors write back to individual kids, asking them questions about their math ideas
8:42 pm
Sundayteatime:
Does using technology reduce writing mathematically? #mathchat
8:42 pm
ColinTGraham:
I'd like to see longitudinal use of tech to show how students acquire precision in the use of terminology, eg in e-portfolios #mathchat
8:42 pm
maxmathforum:
#mathchat for the students it's cool to have someone attend to *your* math ideas, and the communication becomes a side benefit
8:42 pm
teachdig:
I also think it is important for Ss to learn how to write math symbolically inside a text document... eqn editor for example. #mathchat
8:43 pm
maxmathforum:
#mathchat I'd like to find more ways for kids to post their math writitng and get feedback from communities of practice
8:43 pm
ColinTGraham:
@maxmathforum Feedback with question prompts from someone other than the class teacher can be very powerful, I think. #mathchat
8:44 pm
teachdig:
@maxmathforum That is a great idea. How do you get the feedback going do you think? #mathchat
8:45 pm
republicofmath:
Max, I get students to post on WordPress blogs but do not advertise to world @maxmathforum#mathchat
8:45 pm
ColinTGraham:
@Sundayteatime I'm not 100% sure on this. Can apps for entering equations, for example, help with acquiring terminology? #mathchat
8:46 pm
ColinTGraham:
@maxmathforum There are some primary and middle schools posting specifically about maths and science already... #mathchat
8:46 pm
StrongDaughter:
RT @MariaDroujkova: Teens who organize Organge County Math Circle don't use social media, because kids they target can't use it. It's sad. #mathchat
8:46 pm
republicofmath:
@teachdig Dvora, WordPress has AMS LaTEX built in. SO easy to use - even for quite young kids #mathchat
8:46 pm
maxmathforum:
#mathchat I'm surprised there aren't more math classes with student blogs (that I can find at least). What a cool way to showcase your ideas
8:46 pm
EarlSamuelson:
I agree that blogging helps with math literacy; it encourages to think very carefully before committing those thoughts to words #mathchat
8:46 pm
mccoyderek:
RT @d_martin05: If u want stu 2 learn math dont give workshts but instead teach them 2 crave solvg the unknown world #edchat #mathchat
8:46 pm
Sundayteatime:
@ColinTGraham yes autograph and wolfram alpha can help ensure you have correct notation. #mathchat
8:47 pm
maxmathforum:
#mathchat @ColinTGraham do you have links?
8:47 pm
teachdig:
@ColinTGraham @Sundayteatime How about the combination of both? #mathchat
8:47 pm
maxmathforum:
#mathchat @teachdig A twitter community like this can become a great resource. Ask for volunteers to read and write back to students
8:48 pm
ColinTGraham:
@maxmathforum Yes, I know @frogphilp has a maths blog for his school and @Year7Numeracy blogs about maths and science #mathchat
8:48 pm
maxmathforum:
#mathchat in fact, the Math Forum would be thrilled to host student blogs and help recruit feedback givers, e.g. from our Dr. Math vol's.
8:48 pm
teachdig:
@republicofmath That is good to know. I am working on setting things up for next sch yr. #mathchat
9:05 pm
ColinTGraham:
@teachdig Yes, Ingrid tweeted out something that she recorded with some of her students using those type of pen. #mathchat
9:06 pm
teachdig:
@republicofmath I use Blogger for personal blog. Does Wordpress require webaddress for host? #mathchat
9:06 pm
MrHonner:
@ColinTGraham Done well, that would capture and illustrate mathematical thought quite nicely I think. #mathchat
9:06 pm
republicofmath:
My students don't do activities. They work on projects,with parameters set by me. Usually 2-3 weeks at a time #mathchat
9:06 pm
maxmathforum:
@republicofmath @ColinTGraham #mathchat or pens that record and index the recording to what you wrote on the paper. And playback as movie
9:07 pm
frogphilp:
#mathchat - some thinking needs a picture to best explain it, not a mike. - Early mathematical graphics: http://bit.ly/etFAeZ
9:07 pm
teachdig:
@republicofmath @ColinTGraham @maxmathforum That is a great idea. Now if only I had clip mikes. :P #mathchat
9:07 pm
frogphilp:
#mathchat I meant mic
9:07 pm
ColinTGraham:
@MrHonner I think having a record of what was actually done where you could go back and explore "why?" has got to help. #mathchat
9:08 pm
ColinTGraham:
@teachdig You can get adequate clip mikes for about $7 a piece online! #mathchat
9:08 pm
republicofmath:
@stefaniegreay You wouldn't have far to come - still in New England. That's NEW England @ColinTGraham (where it rains like in UK) #mathchat
9:09 pm
ColinTGraham:
@frogphilp Why? What have you got against Mike, then? ;-) #mathchat
9:09 pm
teachdig:
@frogphilp Oops. Me too on the mic. Though a clip Mike would be funny. #mathchat
9:09 pm
frogphilp:
@ColinTGraham I was just thinking that I'm sure Mike is very good at explaining maths. ;-) #mathchat
9:10 pm
ColinTGraham:
@frogphilp I agree on the picture approach too. That's where the type of pen Dvora @teachdig was talking about would be useful. #mathchat
9:11 pm
republicofmath:
Here's a pretty nice example of student writing and incorporation of graphics:http://jmlmth332s10.wordpress.com/ #mathchat
9:12 pm
ColinTGraham:
LiveScribe is an example of the type of pen, in case anyone was wondering... http://nyti.ms/hYrV1F#mathchat
9:12 pm
frogphilp:
@ColinTGraham Picture and sound together. Soon we'll be able to record our scribing with the vid implants in our eyes.... #mathchat
9:13 pm
teachdig:
@ColinTGraham Thanks. That is the one I have seen though I believe there are others as well. #mathchat
9:14 pm
ColinTGraham:
@frogphilp Yes, well before things get that far... ;-) #mathchat
9:15 pm
MrHonner:
@ColinTGraham I see. Recordings would provide fascinating insight into how students solve novel problems, or construct proofs. #mathchat
9:15 pm
republicofmath:
I think kids should learn to write in LaTeX in middle school at the latest. Throw MWord in the trash. #mathchat
9:15 pm
stefaniegreay:
@republicofmath if it's in New England, that makes it even more likely that I'd be able to make it. :) #mathchat
9:15 pm
ColinTGraham:
So, tech can help with summarizing, reporting, recording thought process, what other ways do you think it could help? #mathchat
9:16 pm
republicofmath:
Student in my differential equations class wants to do and post video on his blog. OK with me. #mathchat
9:17 pm
ColinTGraham:
If you haven't seen a LiveScribe session, maybe Ingrid @MmeVeilleux will tweet one of hers again... #mathchat
9:17 pm
republicofmath:
Expression @ColinTGraham tech can help with summarizing, reporting, recording thought process, what other ways could it help? #mathchat
9:18 pm
maxmathforum:
#mathchat @ColinTGraham collaborating! technology can help math learners collaborate
9:19 pm
ColinTGraham:
Expression as in the mathematical meaning or the more general one about communicating views?@republicofmath #mathchat
9:20 pm
ColinTGraham:
@maxmathforum What type of collaboration do you envisage here? On documents, research, projects,... #mathchat
9:20 pm
republicofmath:
@ColinTGraham Colin Graham Expression = more general one about communicating views #mathchat
9:20 pm
teachdig:
@republicofmath Can you use LaTex in GoogleDocs? #mathchat
9:20 pm
republicofmath:
Yes. It can make work public in real time @maxmathforum #mathchat collaborating! technology can help math learners collaborate
9:21 pm
ColinTGraham:
@republicofmath Just want to be sure we are using our words precisely! #mathchat
9:22 pm
republicofmath:
For me it's collaboration on projects. Students being able to learn from other students. @ColinTGraham@maxmathforum #mathchat
9:23 pm
ColinTGraham:
@teachdig Yes. Use Google Docs As LaTeX Editor http://bit.ly/e06azM #mathchat
9:23 pm
republicofmath:
Precisely! Who would not? For whom is the necessity? @ColinTGraham Just want to be sure we are using our words precisely! #mathchat
9:24 pm
maxmathforum:
@ColinTGraham I envision collaborating on solving interesting problems. Like @ddmeyer does on the #WCYDWT chats, or even simpler #mathchat
9:25 pm
maxmathforum:
@republicofmath @ColinTGraham thinking back to beginning of chat: being asked questions by others on yr problem-solving #mathchat
9:25 pm
ColinTGraham:
@maxmathforum I think the project using Skype to measure the circumference of the Earth is a good example too... #mathchat
9:25 pm
republicofmath:
Yes: http://docs.latexlab.org/ @teachdig Can you use LaTex in GoogleDocs? #mathchat
9:26 pm
teachdig:
@republicofmath @ColinTGraham Thanks. Will have to check that out. #mathchat
9:27 pm
ColinTGraham:
How do people feel about the ease of access to mathematical language on sites like Wikipedia and WolframAlpha? #mathchat
9:27 pm
AvocadoRoll:
RT @republicofmath: I think kids should learn to write in LaTeX in middle school at the latest. Throw MWord in the trash. #mathchat
9:27 pm
republicofmath:
I know problem solving is still fashionable, but I feel it's contrived for the classroom. I like structured projects #mathchat
9:29 pm
ColinTGraham:
@republicofmath Or at least problems that the students have brought into the class, rather than being presented them by teacher #mathchat
9:29 pm
republicofmath:
My students "solve" DEs, calculate integrals, all the time on Wolfram Alpha. Go for it, I say. Use what's there. @ColinTGraham #mathchat
9:29 pm
Sundayteatime:
Stealing that book report idea for a summer project #mathchat (sorry for delayed response my nan called)
9:29 pm
teachdig:
@ColinTGraham I found using WolframAlpha allows for investigation of new ideas. Used it to investigate slopes & intercepts lines. #mathchat
9:30 pm
republicofmath:
Poor Eratosthenes! No Skype! ColinTGraham @maxmathforum project using Skype to measure circumference of Earth is good example #mathchat
9:31 pm
ColinTGraham:
I just wonder if reliance on a well set-up site such as WolframAlpha means that students assume other sites are equally 'accurate' #mathchat
9:31 pm
republicofmath:
"Investigate" is it @teachdig WolframAlpha allows for investigation of new ideas. Used to investigate slopes & intercepts lines. #mathchat
9:32 pm
ColinTGraham:
RT @Janshs hi, I've used various ideas (thanks 4 remembering Colin): paper journals each day, wiki, VLE forum, all good #mathchat
9:32 pm
maxmathforum:
@republicofmath what do you mean by prob. solving when you say it's contrived for classroom? #mathchat
9:33 pm
republicofmath:
Relates to forms of knowledge - knowing that vs knowing why @ColinTGraham re Wolfram Alpha's accuracy #mathchat
9:33 pm
ColinTGraham:
@Sundayteatime Nice to have you back, Vicky! #mathchat
9:34 pm
republicofmath:
@maxmathforum Easier, IMO, to motivate project than motivate "problem" #mathchat
9:36 pm
ColinTGraham:
@republicofmath The knowing how also needs to be taken into account too. W|A good for calculating part or the why, not always how #mathchat
9:37 pm
Sundayteatime:
@republicofmath Really? I would have thought the opposite. For instance Dan Meyer's work. #mathchat
9:37 pm
maxmathforum:
@republicofmath and project feels open-ended: posing a problem space and let students define problems to solve within it. #mathchat
9:38 pm
republicofmath:
Snowing here in Dartmouth, Massachusetts "Rough winds do shake the darling buds of March" (apologies to Will ) #mathchat
9:38 pm
maxmathforum:
bye for now, team, thanks for great #mathchat!
9:38 pm
republicofmath:
Right you are, Colin @ColinTGraham "Knowing how" #mathchat
9:39 pm
ColinTGraham:
@maxmathforum Bye Max, thanks for your contributions today. #mathchat
9:39 pm
teachdig:
Thanks for a great discussion on my day off. Gotta go for my run today now and then off to lots of lab reports for feedback. #mathchat
9:39 pm
republicofmath:
Sorry - re what? @ Sundayteatime Really? I would have thought the opposite. For instance Dan Meyer's work. #mathchat
9:40 pm
ColinTGraham:
@teachdig Bye Dvora, see you next time and don't forget to vote for the next topic, if you haven't already! #mathchat
9:42 pm
ColinTGraham:
@republicofmath I suspect @Sundayteatime means problems vs. projects... that Dan Meyer's approach is motivating and is 'problems'. #mathchat
9:43 pm
Sundayteatime:
RT @republicofmath: @maxmathforum Easier, IMO, to motivate project than motivate "problem" #mathchat
9:44 pm
republicofmath:
Feel classroom problems are motivating in relatively trivial sense. There are of course "big" problems which are really projects #mathchat
9:45 pm
ColinTGraham:
OK, it looks like we're running out of steam on this... any last comments or thoughts on tech and the language of mathematics? #mathchat
9:47 pm
Sundayteatime:
Hmm technology is better at writing greek letters on the board than me #mathchat
9:48 pm
ColinTGraham:
@Sundayteatime LOL or should that be ???? ;-) #mathchat
9:49 pm
Sundayteatime:
@ColinTGraham I really struggled with mu today. #mathchat
9:49 pm
ColinTGraham:
One thing I found interesting both last week and today was that interactive whiteboards were not mentioned... hmm... #mathchat
9:49 pm
republicofmath:
LaTeX better at writing math than you or me @Sundayteatime technology better at writing greek letters on board than me #mathchat
9:51 pm
republicofmath:
"interactive whiteboards" ? Don't make me laugh! Oh, you just did! @ColinTGraham ... interactive whiteboards #mathchat
9:53 pm
ColinTGraham:
@Sundayteatime It's a matter of practising lots... I had the advantage of learning Ancient Greek to O-level, so less of a problem! #mathchat
9:53 pm
CutTheKnotMath:
@republicofmath @ColinTGraham Just to join in the laugh ... #mathchat
9:53 pm
ColinTGraham:
And another joining in the frivolity! RT @RSeddon: @ColinTGraham IWBs can create the illusion of using ICT. #mathchat
9:54 pm
republicofmath:
Alex, don't you use interactive whiteboards? @CutTheKnotMath #mathchat
9:55 pm
ColinTGraham:
So are we saying IWBs are not tech or is it more that they are not being used effectively... #mathchat
9:56 pm
republicofmath:
@ColinTGraham They were SUCH a fad. If you weren't using them you were so passe. And now ... Technology moved on. Change happens #mathchat
9:56 pm
sdisbury:
IWB are teacher toys too often. I find it too time consuming to get the pupils to the board. #mathchat(scuse my butting in!)
9:57 pm
sdisbury:
Adding slate to the mix should have made it easier for pupils to interact but it's too hard to use without lots of practice. #mathchat
9:57 pm
ColinTGraham:
@sdisbury Feel free! We decided improved communication was one of the main ways tech could help with the language of maths #mathchat
9:58 pm
republicofmath:
@sdisbury IMO a Scot from Thurso can butt in any time she pleases! #mathchat
9:58 pm
ColinTGraham:
Interaction is a big part of communication, so if IWBs are not being used interactively it is not the fault of the tech! #mathchat
9:59 pm
republicofmath:
Most likely a sandpit was new technology for Archimedes. #mathchat We use what's there.
9:59 pm
ColinTGraham:
Well it's always nice to end on a light note! Thanks for your contributions everyone... very lively for a Monday! #mathchat
9:59 pm
RSeddon:
IWBs have potential, just because it's on doesn't mean it's effective. If it can be done on a chalk board then use that instead! #mathchat
10:00 pm
republicofmath:
Well, we have to blame something! @ColinTGraham ...If IWBs are not being used interactively it is not the fault of the tech! #mathchat
10:00 pm
CutTheKnotMath:
@republicofmath In the early 1990s AT&T worked on a smart phone. The project was closed because the design required more than 64k #mathchat
10:01 pm
sdisbury:
@ColinTGraham Do you use Formulator Math ML ? Easiest I have found to create expressions, etc.http://bit.ly/bNKgpf #mathchat
10:02 pm
ColinTGraham:
Don't forget to vote for the next in the "How do I...?" series: http://bit.ly/e72g8r #mathchat
10:02 pm
sdisbury:
I'm always late for #mathchat - out on a Monday. Enjoy catching up when I get in.
10:02 pm
republicofmath:
ΛΩΛ @CutTheKnotMath In early 1990s AT&T worked on a smart phone. Project was closed because design required more than 64k #mathchat
10:03 pm
ColinTGraham:
@sdisbury Nice to have you, how ever short the visit. #mathchat