Topic: How does ICT impact on the teaching and understanding of mathematics?
As it happened on Friday, 17th December 2010 00:00 - 01:00 GMT
12:03 am
ColinTGraham:
Hello everyone and welcome to this week's #mathchat
12:04 am
ColinTGraham:
If it's your first time, don't try to keep up with everyone, just follow one or two people, and don't forget the hashtag ---> #mathchat
12:04 am
MmeVeilleux:
#mathchat I am really excited about this topic!
12:04 am
ColinTGraham:
Today's topic is: "How does ICT impact on the teaching & understanding of maths?" #mathchat
12:05 am
MmeVeilleux:
RT @ColinTGraham: If it's your first time, don't try to keep up with everyone, just follow one or two people, and don't forget the hashtag ---> #mathchat
12:05 am
ColinTGraham:
@MmeVeilleux Hi, Ingrid! Glad to hear you're excited! :-) #mathchat
12:06 am
MmeVeilleux:
#mathchat I am especially interested in finding real life math probs demo-ed on video online that I can show 2 class.
12:07 am
ColinTGraham:
@MmeVeilleux So you see the access to video as being a major factor in moving forward, in relation to ICT? #mathchat
12:07 am
MmeVeilleux:
#mathchat I esp liked the TEDTalk where the guy posed the 'how long will it take to fill the water cooler' problem and the class watches vid
12:08 am
cybraryman1:
@MmeVeilleux See: Math Videos (rt column down) on my Math Reference page: http://bit.ly/1PAeOz#mathchat
12:09 am
MmeVeilleux:
#mathchat ICT (what does the 'c' stand for by the way?) can provide more ways to visualize math probs than board/paper pencil.
12:09 am
ColinTGraham:
@MmeVeilleux OK that was @ddmeyer Dan Meyer and his #WCYDWT (what can you do with this) approach #mathchat
12:09 am
peterflom:
@colintgraham What is ICT? #mathchat
12:09 am
MmeVeilleux:
#mathchat Also, ICT can be a gr8 review tool.
12:10 am
cybraryman1:
@peterflom Information and communications technology or information and communication technology, #mathchat
12:10 am
MmeVeilleux:
@cybraryman1 Thanks Jerry. I love it when you have a page to address what I'm thinking about!!! #mathchat LOL
12:10 am
ColinTGraham:
ICT in the UK is generally taken as meaning Information and Communication Technology... #mathchat
12:11 am
MmeVeilleux:
@ColinTGraham #mathchat Here we like to leave out the communication and call it IT (ahem)
12:13 am
peterflom:
@mmeveilleux I'm simple. I like to call them computers #mathchat
12:13 am
ColinTGraham:
@MmeVeilleux Well ICT goes beyond just the the IT part, the communication is seen as just as important as the information! #mathchat
12:14 am
ColinTGraham:
Anyone interested in finding out more about #WCYDWT should read @ddmeyer' blog:http://blog.mrmeyer.com/ #mathchat
12:15 am
cybraryman1:
My ICT links. See especially ICT Literacy Maps for Math http://bit.ly/7cLavh #mathchat
12:15 am
MmeVeilleux:
#mathchat So math vids are useful for studying rate problems b/c you can watch the answer in real life.
12:15 am
ColinTGraham:
@peterflom Again, computers are the means of accessing the information and communications... so they are just the T! #mathchat
12:16 am
MmeVeilleux:
#mathchat I just bought a LiveScribe pen so that I will be able to post mini-reviews of math lessons online for Ss.
12:16 am
ColinTGraham:
@MmeVeilleux Using videos to add "face value" then? #mathchat
12:17 am
MmeVeilleux:
#mathchat Showing tables and graphs online is much better than endless colouring.
12:17 am
ColinTGraham:
Any other examples of online/computer use that impacts on maths teaching? #mathchat
12:18 am
dweksler:
Working to find ways to support technology-rich presentations at NCTM 2011 in Indianapolis. Good ideas welcome #mathchat
12:18 am
ColinTGraham:
@dweksler Do you have any examples yourself David? #mathchat
12:18 am
ColinTGraham:
RT @peterflom: To me, it's all T except for the humans. And we aren't a new thing. #mathchat
12:18 am
cybraryman1:
@MmeVeilleux My Charts and Graphs page (generators): http://bit.ly/c8GGyU #mathchat
12:19 am
MmeVeilleux:
@ColinTGraham #mathchat Well, parents sometimes complain about the math textbook that the reading part is hard for kids. ...
12:20 am
ColinTGraham:
@MmeVeilleux Deciphering the words setting out problems or just the general explanation? #mathchat
12:20 am
MmeVeilleux:
@ColinTGraham #mathchat So I think showing the vid adds clarity to the purpose & real life application. Also it adds novelty.
12:20 am
cybraryman1:
@dweksler Integrating Technology in Math sites: http://bit.ly/1PAeOz #mathchat
12:20 am
dweksler:
@ColinTGraham Not curently, but I know the head of the state computer-using educators org. A question of funds and Net access #mathchat
12:21 am
MmeVeilleux:
@ColinTGraham #mathchat It's the global understanding b/c my Ss' are doing math in their second language.
12:22 am
ColinTGraham:
I think combining algebra and geometry through tools such as GeoGebra or, even, Excel can help with concepts #mathchat
12:22 am
dweksler:
@cybraryman1 Thanks for your web site. Goal is to allow people to SEE that website without having to buy internet access. #mathchat
12:23 am
ColinTGraham:
@MmeVeilleux Or third language if you see mathmatics as a language too (like me)! Do you not do maths in French then? #mathchat
12:23 am
MmeVeilleux:
#mathchat I like NLVM as an adult but I find it's hit and miss using it with Ss. National Library of Virtual Manipulatives
12:24 am
MmeVeilleux:
@ColinTGraham #mathchat Yes, I teach math in French but on the anglophone West Coast. (parents are anglo)
12:24 am
ColinTGraham:
The NLVM site is: http://bit.ly/LPONZ #mathchat
12:26 am
ColinTGraham:
Are you expected to use computers or technology in your maths lessons or is your situation different? #mathchat
12:27 am
ColinTGraham:
How about interactive whiteboards? How interactive are they in your lessons? #mathchat
12:27 am
MmeVeilleux:
@ColinTGraham #mathchat I am not expected to use tech w/math but I do. I need to push to integrate tech.
12:28 am
dweksler:
#mathchat Dynamic Geometry (Sketchpad, Cabri, Geogebra, etc.) make certain things possible very difficult without them
12:28 am
daveinstpaul:
GeoGebra is ideal for teaching graphing. No more time wasted drawing coordinate grids on the board. #mathchat
12:29 am
ColinTGraham:
Wolfram Alpha (@Wolfram_Alpha) is also very good for graphing/algebra and other mathematically-based activities #mathchat
12:31 am
ColinTGraham:
I know I don't remember being shown connections between geometry and algreba after "completing the square"... 30+ years ago #mathchat
12:31 am
daveinstpaul:
Few students know that Google search includes a powerful calculator that does unit conversions. I always show this to my students. #mathchat
12:31 am
MmeVeilleux:
#mathchat http://www2.sd38.bc.ca/~IVeilleux/?OpenItemURL=S03D6E9A3 Here are some math links from my site.
12:32 am
millerblair:
@ColinTGraham I find IWB are good for students showing their thinking with drawings. Easier/faster to reproduce shapes. #mathchat
12:32 am
ColinTGraham:
So access to free tools online... calculating, graphing, videos for setting up problems... any other ways that ICT is impacting? #mathchat
12:33 am
millerblair:
@ColinTGraham Also like to use IWB for small group use of virtual manipulatives. #mathchat
12:33 am
ColinTGraham:
@millerblair Do you record the drawings too, to preserve the thinking process? #mathchat
12:33 am
MmeVeilleux:
RT @millerblair: @ColinTGraham Also like to use IWB for small group use of virtual manipulatives. #mathchat
12:34 am
MmeVeilleux:
RT @millerblair: @ColinTGraham I find IWB are good for students showing their thinking with drawings. Easier/faster to reproduce shapes. #mathchat
12:34 am
millerblair:
@ColinTGraham yes, take screenshots or save to a file depending on application being used. #mathchat
12:35 am
ekendriss:
@MmeVeilleux @ColinTGraham teaching math in Fr is oh so cool. what grade? #mathchat
12:35 am
ColinTGraham:
Anyone interested in manipulatives should refer to our discussion about this: http://bit.ly/fvfnmR and the links there! #mathchat
12:36 am
MmeVeilleux:
@ekendriss @ColinTGraham #mathchat I'm on my last yr of leave at univ but most recently taught 2/3. Hope2go back2intermediate 4/5.
12:37 am
ColinTGraham:
@millerblair You say small groups, Blair, do they do this in front of other Ss or is it a tool in general groupwork activity? #mathchat
12:37 am
peterflom:
If math is a language let's hear the Gettysburg Address. Or even "the blue pen is on the white table" #mathchat
12:37 am
MmeVeilleux:
@ekendriss @ColinTGraham #mathchat Enseignes-tu les maths en fr?
12:38 am
ColinTGraham:
@peterflom Yes, Paul Lockhart is entitled to his opinion! However, one could argue that language is an invention too! #mathchat
12:38 am
MmeVeilleux:
#mathchat What I like about tchg in 2nd lang is that we don't assume Ss know concepts. Arguably each word is a concept.
12:39 am
ColinTGraham:
@MmeVeilleux Non! A colleague learned his maths in a Welsh-medium school, so he seemed stupid when asked to do mental arithmetic. #mathchat
12:40 am
cybraryman1:
My Math Manipulatives page: http://bit.ly/dutc5W #mathchat #math
12:40 am
millerblair:
@ColinTGraham Both in front of the class and as a station on group work. #mathchat
12:40 am
ColinTGraham:
@MmeVeilleux If he was asked to do the arithmetic in English, because he was translating... #mathchat
12:40 am
velvel96:
RT @peterflom: @colintgraham "Math isn't a language, it's an invention" Paul Lockhart #quote#mathchat
12:40 am
MmeVeilleux:
#mathchat My daughter & her friend just finished doing math hmwk at the table during this mathchat. ...
12:40 am
peterflom:
#mathchat OOPS Lockhart said "Math isn't a language it's an ADVENTURE" (not invention... my bad)
12:41 am
MmeVeilleux:
#mathchat They were graphing donations to the Food Bank & nutritional info from cans and very keen on it.
12:41 am
millerblair:
Really like the math on the Freudenthal Institute Digital Math Environment - java appletshttp://www.fi.uu.nl/dwo/en/frameset.html #mathchat
12:42 am
tperran:
RT @cybraryman1: My Math Manipulatives page: http://bit.ly/dutc5W #mathchat #math->>I like it! Thanks for posting this! #spedchat
12:42 am
MmeVeilleux:
@ColinTGraham #mathchat I can see how there are pros and cons to doing math in L2.
12:43 am
doctorjeff:
@velvel96 @peterflom @colintgraham Math is not an invention, it is the language of nature. -jeff #mathchat
12:43 am
MmeVeilleux:
#mathchat There R so many worthwhile things 2do in math class, I'd like to make my niche 'real life math.' (w/vids where possible)
12:43 am
ColinTGraham:
I like LEGO digital designer, because it allows ways of exploring spatial awareness onlne. I think physicality is important too #mathchat
12:44 am
doctorjeff:
OK, show of hands, who thinks math is a language? #mathchat
12:44 am
ColinTGraham:
@doctorjeff I always say that Mathematics is the language of the Universe. #mathchat
12:44 am
millerblair:
Another impact of ICT is the instant access to information on the Internet for use in more complex open-ended problems #mathchat
12:44 am
doctorjeff:
@MmeVeilleux Cool. I think all math should be real life #mathchat
12:44 am
ColinTGraham:
@doctorjeff Define "language" before you ask for a show of hands! #mathchat
12:45 am
MmeVeilleux:
@ColinTGraham #mathchat In primary yrs (K-3) do U think kids need tons of kinesthetic experience prior to online spatial activities??
12:45 am
Mollybmom:
Well said! RT @ColinTGraham: @doctorjeff I always say that Mathematics is the language of the Universe. #mathchat
12:45 am
MmeVeilleux:
RT @millerblair: Another impact of ICT is the instant access to information on the Internet for use in more complex open-ended problems #mathchat
12:45 am
dweksler:
I think math is a language and more... #mathchat
12:45 am
Sternenfee:
Me! RT @doctorjeff: OK, show of hands, who thinks math is a language? #mathchat
12:45 am
MmeVeilleux:
@millerblair #mathchat That is a powerful point. A good "role" in class is2always have a student 'researcher' who can check facts online.
12:46 am
MmeVeilleux:
RT @Sternenfee: Me! RT @doctorjeff: OK, show of hands, who thinks math is a language? #mathchat
12:46 am
ColinTGraham:
@MmeVeilleux I think that one problem with online approaches is that they are still primarily 2-D... 3-D visualization is weak. #mathchat
12:46 am
MmeVeilleux:
@Sternenfee @doctorjeff #mathchat I think Math is a language
12:46 am
doctorjeff:
@ColinTGraham a system through which concepts and information can be expressed. #mathchat
12:47 am
doctorjeff:
@ColinTGraham I feel I model my thoughts through English (in my case). #mathchat
12:47 am
MmeVeilleux:
@ColinTGraham #mathchat Yes. I have trouble converting 2D to 3D but if I'd had more childhood experiences w/manipulatives & puzzles ..??
12:47 am
millerblair:
@mmeveilleux It makes the type of problems you're talking about all the richer. Handheld devices are great for this. #mathchat
12:48 am
MmeVeilleux:
#mathchat One thing that helped me visualize 2D->3D transformations is taking a pattern drafting course (for sewing).
12:48 am
doctorjeff:
@ColinTGraham I feel nature expresses its governing laws, relationships, and character through mathematics. #mathchat
12:48 am
Mollybmom:
Mathematics is a language students need 2 understand & we must explicitly teach. #mathchat
12:49 am
millerblair:
@colintgraham @mmeveilleux Check out the model of 3D objects on the link I sent earlier enables dynamic change from 3D to 2D net #mathchat
12:49 am
daveinstpaul:
"Math is a language" is a bad metaphor. It suggests that math is only a way to communicate and not a body of knowledge in itself. #mathchat
12:49 am
ColinTGraham:
Using online tools to represent "real-life" situations can be very useful for mathematical concept. e.g. do online origami... #mathchat
12:50 am
MmeVeilleux:
@doctorjeff @ColinTGraham #mathchat I don't think my view of the world is big enough (yet) 2C its governing laws as mathematical ...
12:50 am
peterflom:
@mmeveilleux I stink at all kinds of visualizations, even 2-D; part of my learning disability #mathchat
12:50 am
ColinTGraham:
OK, "Is mathematics a language?" is a topic for another day... let's get back to today's topic ;-) #mathchat
12:50 am
MmeVeilleux:
@millerblair @colintgraham #mathchat I will check that out for sure. Thx.
12:51 am
millerblair:
@colintgraham @mmeveilleux I've been thinking about how to combine 3D modeling & animation in Blender w/ math puzzles/concepts #mathchat
12:51 am
peterflom:
RT @daveinstpaul: "Math is a language" is a bad metaphor. It suggests that math is only a way to communicate and not a body of knowledge in itself. #mathchat
12:51 am
MmeVeilleux:
@peterflom #mathchat I am always encouraged by my own progress!! All things are learnable - time is the variable :)
12:51 am
doctorjeff:
@MmeVeilleux @ColinTGraham it's revealed when you pull back the veil of nature and see how she operates. #mathchat
12:52 am
ColinTGraham:
Does overuse of technology reduce/diminish some abilities in maths? If so, what? #mathchat
12:52 am
MmeVeilleux:
@millerblair @colintgraham #mathchat I love to converse on Twitter & will check out Blender but my response might take a few days ;)
12:53 am
MmeVeilleux:
@doctorjeff @ColinTGraham #mathchat I don't doubt that math describes the world but s.o. needs to make those connections explicit 4me
12:53 am
dweksler:
I think building things, models, puzzles, constructions of any kind, develops a different - kinesthetic - understanding #mathchat
12:53 am
ColinTGraham:
@millerblair Problems with 3-D modelling online will always be there, so long as there isn't an actual 3-D image to work with... #mathchat
12:53 am
MmeVeilleux:
@doctorjeff @ColinTGraham #mathchat I am an avid reader so hope springs eternal that I will see this connection one day.
12:54 am
MmeVeilleux:
@ColinTGraham #mathchat As an elem tchr, I esp love measuring (length, liquids, area, vol) b/c it connects the concrete world & math.
12:54 am
ColinTGraham:
@dweksler I think working with physical items and then trying to represent them online is a valuable way to explore. #mathchat
12:55 am
millerblair:
@mmeveilleux No worries - just an idea. No need for a response. I haven't trialed Blender in class yet. But can see potential #mathchat
12:55 am
MmeVeilleux:
@ColinTGraham #mathchat I love SmartBoards but it can only replicate not replace real life.
12:55 am
MmeVeilleux:
RT @dweksler: I think building things, models, puzzles, constructions of any kind, develops a different - kinesthetic - understanding #mathchat
12:55 am
doctorjeff:
@MmeVeilleux @ColinTGraham the different flavors of atoms making up your body only different in the number of protons in nucleus. #mathchat
12:56 am
ColinTGraham:
@MmeVeilleux I sometimes wonder why measuring things is mathematics... isn't that science? ;-) #mathchat
12:56 am
MmeVeilleux:
@millerblair #mathchat This is Y I love Twitter. It gets me thinking about new things.
12:56 am
dweksler:
Some of you may be interested in this software environment for building paper modelshttp://bit.ly/hSg95i #mathchat
12:56 am
MmeVeilleux:
RT @ColinTGraham: @MmeVeilleux I sometimes wonder why measuring things is mathematics... isn't that science? ;-) #mathchat
12:57 am
millerblair:
@colintgraham Point taken - it is still 2D, but some 3D representations are pretty good at creating that sense of dimension #mathchat
12:57 am
MmeVeilleux:
@ColinTGraham #mathchat That is a gr8 question to which I have no answer ;)
12:57 am
daveinstpaul:
Maple & Mma can make it very easy to do calculations that shouldn't be performed at all. They tempt us to avoid deeper analysis. #mathchat
12:57 am
ColinTGraham:
In the last five minutes... any final thought about "How does ICT impact on the teaching and understanding of mathematics? " #mathchat
12:58 am
doctorjeff:
@MmeVeilleux @ColinTGraham when u throw something- go throw a pen - it's following the track of an orbit around center of Earth. #mathchat
12:59 am
millerblair:
@colintgraham Technology makes some very important processes seem inconsequential - i.e. determining scale on a graph #mathchat
12:59 am
ColinTGraham:
@daveinstpaul When you say "calculations that shouldn't be performed" do you mean by people or by anything? #mathchat
12:59 am
daveinstpaul:
I myself have wasted hours doing useless calculations in Maple that I could have avoided by thinking more clearly about the prob. #mathchat
12:59 am
MmeVeilleux:
@doctorjeff @ColinTGraham #mathchat I will go throw my pen & videotape to track its orbit.
12:59 am
doctorjeff:
@MmeVeilleux @ColinTGraham your pen? It's the space shuttle; Moon orbiting Earth, Earth orbiting Sun; Sun orbiting Galaxy: F=ma #mathchat
1:00 am
doctorjeff:
@MmeVeilleux @ColinTGraham It is indeed an orbit. #mathchat
1:00 am
republicofmath:
Mathematics is not (only) a language http://wp.me/pJESd-bE #mathchat
1:00 am
MmeVeilleux:
@ColinTGraham #mathchat Final Thought: ICT improves my understanding of math which affects the quality of my dialogue w/Ss about math.
1:00 am
daveinstpaul:
I mean, some calculations shouldn't be performed at all. Such as solving a quartic symbolically. The result is useless. #mathchat
1:00 am
ColinTGraham:
@doctorjeff @MmeVeilleux You can calculate the distance from the Earth to the Moon using a pendulum and a stopwatch... #mathchat
1:01 am
davidwees:
Oh drat, I really wanted to participate in today's #mathchat. Going to have to find a way to participate on Monday.
1:01 am
doctorjeff:
@MmeVeilleux @ColinTGraham My pt: all those diverse phenomena - ARE ALL THE SAME! & law of gravitation & law of motion make it so.#mathchat
1:01 am
dweksler:
I love the scene in "Apollo 13" when engineers need to re-calculate how to bring the spacecraft back to earth with slide rules! #mathchat
1:01 am
ColinTGraham:
As usual, we probably end up with more questions than answers! Thank you all for your contributions... #mathchat
1:01 am
millerblair:
@daveinstpaul Great point! I find students want to rush to solving using the technology, when the solving is in the thinking #mathchat
1:02 am
republicofmath:
Who hasn't spent time in long #calculations? But we can't always think. Sometimes we need to do, in order to think. @daveinstpaul #mathchat
1:02 am
doctorjeff:
@MmeVeilleux @ColinTGraham the grand workings of the universe are knowable IF you speak her language. #mathchat
1:02 am
MmeVeilleux:
@ColinTGraham @doctorjeff #mathchat Colin, you're v. smart so I Blieve you. But I'd still like proof 2 really believe it! earth2moon :)
1:02 am
davidwees:
I see technology in mathematics education as providing a way for students to visualize complex mathematics. #mathchat
1:03 am
doctorjeff:
@MmeVeilleux @ColinTGraham My view of MATH EDUCATION at HuffPost: http://bit.ly/RrJ0z#mathchat
1:03 am
MmeVeilleux:
@ColinTGraham This is what keep me coming back to #mathchat! More questions than answers!!!
1:03 am
republicofmath:
A healthy sign! @ColinTGraham As usual, we probably end up with more questions than answers! #mathchat
1:03 am
davidwees:
@daveinstpaul Geogebra is even more useful for having students create graphs. No more having to read terrible graphs... #mathchat
1:03 am
ColinTGraham:
OK, everyone. We will be revisiting this topic again on Monday... tonight's archive will be online in about 30 minutes or so #mathchat
1:03 am
MmeVeilleux:
RT @republicofmath: A healthy sign! @ColinTGraham As usual, we probably end up with more questions than answers! #mathchat
1:04 am
MmeVeilleux:
RT @doctorjeff: @MmeVeilleux @ColinTGraham My view of MATH EDUCATION at HuffPost:http://bit.ly/RrJ0z #mathchat
1:04 am
doctorjeff:
@MmeVeilleux @ColinTGraham This conversation is proof. We are communicating via a string of 0s and 1s. #mathchat
1:04 am
ColinTGraham:
Feel free to keep chatting though! Catch you later... #mathchat
1:04 am
ekendriss:
@MmeVeilleux @ColinTGraham #mathchat Non, malheureusement pas. J'enseigne les eleves americains des statistiques (AP) en anglais.
1:04 am
dweksler:
"Street-Fighting Mathematics" when it is important to estimate: http://bit.ly/fNaR7W #mathchat
1:04 am
POWERORGmath:
RT @ColinTGraham: Using online tools to represent "real-life" situations can be very useful for mathematical concept. e.g. do online origami... #mathchat
1:04 am
MmeVeilleux:
g'night peeps! Loved today's #mathchat AS USUAL. I love that I can participate. Bye for now :)
1:05 am
MmeVeilleux:
RT @doctorjeff: @MmeVeilleux @ColinTGraham This conversation is proof. We are communicating via a string of 0s and 1s. #mathchat
1:05 am
ColinTGraham:
@MmeVeilleux Au revoir Ingrid! #mathchat
1:05 am
POWERORGmath:
RT @MmeVeilleux: #mathchat One thing that helped me visualize 2D->3D transformations is taking a pattern drafting course (for sewing).
1:05 am
MmeVeilleux:
@doctorjeff @ColinTGraham #mathchat The 0s and 1s comment was v. funny!!!
1:05 am
mathtech:
RT @republicofmath: Mathematics is not (only) a language http://wp.me/pJESd-bE #mathchat
1:05 am
MmeVeilleux:
@ColinTGraham #mathchat Au revoir, Colin!
1:06 am
dweksler:
La prochaine mathchat en fran├žais? #mathchat
1:06 am
ColinTGraham:
@dweksler Peut-etre. Pourquoi non? #mathchat
1:07 am
dweksler:
@ColinTGraham Tres bien, monsieur Graham! #mathchat
1:07 am
ColinTGraham:
@dweksler :-P #mathchat
1:08 am
doctorjeff:
@MmeVeilleux @ColinTGraham we've sent a string of 0s and 1s to the stars to communicate to others something about ourselves #mathchat
1:10 am
ColinTGraham:
@doctorjeff Not to mention the Voyager probes... I follow @Voyager2 for example :-) #mathchat