Topic: How do I decide what to teach next, new topic or expansion?
As it happened on Friday, 1st April 2011 00:00 - 01:00 GMT
12:02 am
ColinTGraham:
Hello everyone, welcome to #mathchat
12:03 am
republicofmath:
Yep! @mathfour #mathchat
12:03 am
ColinTGraham:
Hope you managed to find the right time after all the moving clocks! #mathchat
12:03 am
mathfour:
@ColinTGraham Hey there, boss! #mathchat
12:04 am
ColinTGraham:
Today's topic, after a close battle, is "How do I decide on what to teach next, new topic or expansion?" #mathchat
12:05 am
mathfour:
@ColinTGraham I'm guessing this question is if you don't have a prescribed curriculum? #mathchat
12:05 am
ColinTGraham:
For newcomers, and observers [I don't like lurking!] remember to use the hashtag #mathchat when you tweet
12:06 am
bpgannon:
#mathchat how do you battle between content timelines and understanding - or lack thereof?
12:06 am
ColinTGraham:
If you are using long tweets... don't! But if you have to, put the hashtag near the start! #mathchat
12:07 am
mathfour:
@ColinTGraham If they are observers, then they don't really need to "use" #mathchat - Jus'sayin' #mathchat
12:07 am
ColinTGraham:
@mathfour Bon, you Texas girls are trouble, y'all! #mathchat
12:07 am
mthman:
@bpgannon Good question....do you have a pacing guide? If so, are you a slave to it? #mathchat
12:08 am
mathfour:
@ColinTGraham You mean trouble to keep up with? I guess you're right. ;-) #mathchat
12:08 am
ColinTGraham:
@bpgannon Good question, Brian. That lies at the heart of the matter... cover curriculum or ensure understanding... #mathchat
12:08 am
mathfour:
@bpgannon And excitement - if the kiddos are really getting into something, why not take it to the next level? #mathchat
12:08 am
bpgannon:
#mathchat always feel bad moving on after bad test but don't have much choice
12:09 am
mthman:
How (what kinds) do you use formative assessment to determine your next steps? #mathchat
12:09 am
mathfour:
@ColinTGraham @bpgannon And how much "understanding" is understanding. If the school re-covers same stuff every year... #mathchat
12:09 am
ColinTGraham:
@mathfour Nope, just trouble with a capital "Hmm!" as my friend in Dallas says... #mathchat
12:09 am
mctownsley:
#sbar RT @mthman: How (what kinds) do you use formative assessment to determine your next steps? #mathchat
12:09 am
mathfour:
@bpgannon I always understood concepts 1 sem after I learned them. Takes time to sink in. #mathchat
12:09 am
bpgannon:
#mathchat last chapter, had plans for fun activity but ran into exams and new term.
12:10 am
mathfour:
@bpgannon We probably should be inviting some of those politicians in this conversation! #mathchat
12:10 am
mathheadinc:
@mathfour My husband said the same thing. Happened to me, too. #mathchat
12:11 am
mthman:
I love this quote from the book "Focus" - "focus on small # of topics...spend months, not days, on them" #mathchat
12:11 am
ColinTGraham:
Planning is the bane of most of what we'd like to do... freedom of deciding based on current class vs. the next school year etc. #mathchat
12:12 am
bpgannon:
@mathfour I agree, testing is at the heart of pacing #mathchat
12:12 am
mathheadinc:
@mthman Depth not breadth, but it has to start in kindergarten for there to be enough time for depth. #mathchat
12:12 am
mathfour:
@bpgannon Listen up @BarackObama, quit with the dumb school laws. #mathchat
12:12 am
AlisonBlaine:
RT @mthman: I love this quote from the book "Focus" - "focus on small # of topics...spend months, not days, on them" #mathchat
12:12 am
Waukeestudent:
RT @mthman: How (what kinds) do you use formative assessment to determine your next steps? #mathchat
12:12 am
ColinTGraham:
@mthman That kind of focus needs a lot of support from students, school, community, etc. though, Ron. #mathchat
12:13 am
mathfour:
@mthman See, I think that we should cover lots of seemingly unrelated topics and then show how they are really the same. #mathchat
12:13 am
ColinTGraham:
@mathfour So you are proposing multiple exposure and then connecting later, rather than branching out? #mathchat
12:14 am
mthman:
@ColinTGraham True...but ultimately it requires a strong leader in the classroom! #mathchat
12:14 am
mathfour:
Hey, where's @padgets? #mathchat
12:14 am
delta_dc:
I use Understanding by Design to plan units. Assessments built in. If we make necessary progress then there's room for extension #mathchat
12:14 am
mathfour:
@ColinTGraham Yeah - you can connect, or allow hints of connection here and there. See what happens. #mathchat
12:15 am
mthman:
@delta_dc Love the UbD plan...just got Wiggins' new book...can't wait do dive in! #mathchat
12:15 am
ColinTGraham:
@delta_dc Room for extension is maybe different from extending or moving on... room for extension is impt for differentiation. #mathchat
12:15 am
suburbanlion:
@delta_dc do you always follow the plan? or improvise as you go? #mathchat
12:16 am
mthman:
RT @mathfour: Hey, where's @padgets? #mathchat <--- Yeah...what she said!
12:16 am
ColinTGraham:
@tperran Hi Tom, are you going to join us in #mathchat today? ;-)
12:16 am
theOCBlog:
RT @tperran: PurposeGames.Com Create your own interactive quizzes and games for your students:http://bit.ly/18XsEZ #edchat #mathchat #spedchat
12:16 am
EarlSamuelson:
@mathfour I like the "bee line" approach to a desired end and then elaborate as needed #mathchat
12:16 am
republicofmath:
We have to do everything- connect, extend, begin new topics, but as @mathheadinc said, aim for depth, very early. #mathchat
12:17 am
mathfour:
Does yelling on Twitter matter? @PADGETS WHERE ARE YOU? #mathchat
12:17 am
ColinTGraham:
@earlsamuelson Do you make the goal explicit to students, or is the 'beeline' only for you, Earl? #mathchat
12:18 am
delta_dc:
I have more freedom now (at university) but as MS math teacher I had benchmarks I "had" to make and modified lessons between #mathchat
12:18 am
mathfour:
@EarlSamuelson That's a cool way. Kinda like, "here's the algorithm... now let's see all the goodies around/about it" #mathchat
12:18 am
mthman:
No takers on the formative assessment question? Exit slips, reflection questions, homework...with what frequency does FA happen? #mathchat
12:18 am
mathheadinc:
@mathfour @padgets Sometimes comes later. #mathchat
12:18 am
EarlSamuelson:
@ColinTGraham the goal is very explicit for students #mathchat
12:18 am
mathfour:
@ColinTGraham @earlsamuelson I say, "here's the step by step method, now let's discuss..." #mathchat
12:19 am
bpgannon:
#mathchat does anyone try reoccurring assessments to check understanding over time?
12:19 am
republicofmath:
I think students can lean to dig deeper. They can learn to extend their own thinking. We don't have to always find new topics #mathchat
12:19 am
ColinTGraham:
@mthman Formative assessment is another, related, issue. If it determines something is not understood, how do you decide to move? #mathchat
12:19 am
mathfour:
@ColinTGraham @earlsamuelson but not always... kinda depends on the class and students. #mathchat
12:19 am
mthman:
@delta_dc As a MS educator, I have benchmarks, but I'm thankful I have flexibility in deciding when to use them. #mathchat
12:20 am
mathfour:
@bpgannon I'm not a test giver if I can help it. I've got a reputation, so I get out of giving them. #mathchat
12:20 am
EarlSamuelson:
@mathfour they start to see connections all about......seems to motivate them #mathchat
12:20 am
ColinTGraham:
@bpgannon By reoccurring, do you mean the same test or testing the same content? #mathchat
12:20 am
delta_dc:
@suburbanlion this is an example from when I taught MS. http://t.co/ZnjsuTf #mathchat
12:20 am
mathfour:
@republicofmath Yeah! Indeed I would assign book reports on pop math books. That worked well. #mathchat
12:20 am
ColinTGraham:
@republicofmath What if topics are determined by curricula or textbooks or school year? #mathchat
12:20 am
mthman:
@ColinTGraham Hmm...to me they have to be linked...I use FA + anecdotal info when reflecting on each day in the classroom #mathchat
12:21 am
delta_dc:
@mthman FA is extremely important. But I also want learners to be able to self-assess and self-correct. #mathchat
12:21 am
republicofmath:
#mthman I assess all the time, by checking student work & decide what to emphasize or not. FA is cybernetics, #mathchat
12:21 am
bpgannon:
@ColinTGraham having an assessments each week with question from current and previous chapters. #mathchat
12:22 am
ColinTGraham:
@republicofmath So that would make you a cybernaut then, Gary! #mathchat
12:22 am
EarlSamuelson:
@mathfour @colintgraham that works too......it's good to mix things up; keeps them on their toes......and me #mathchat
12:22 am
mathfour:
@republicofmath FA is a note following MI - can you explain what it means here? #mathchat
12:23 am
mthman:
@delta_dc Absolutely...but Ss aren't always clear about their own thinking/learning. #mathchat
12:23 am
ColinTGraham:
@bpgannon How much freedom do you have to decide between review and moving on to the next chapter, though? #mathchat
12:23 am
bpgannon:
#mathchat I use SRS for FA. Great tool for quick check allows for change in plans.
12:23 am
mathheadinc:
@mathfour When do your students get to discover? #mathchat
12:23 am
Realmath:
RT @republicofmath: #mthman I assess all the time, by checking student work & decide what to emphasize or not. FA is cybernetics, #mathchat
12:23 am
ColinTGraham:
@mathfour FA = formative assessment, maybe MI=multiple intelligence... FA = Football Association, MI=??? #mathchat
12:24 am
republicofmath:
A new topic should, IMO, tie back into what came before, otherwise curriculum seems disjointed, loses coherence. #mathchat
12:24 am
bpgannon:
@ColinTGraham #mathchat not much. Just hope to add bits in here and there...hoping someone else does & can help me ;)
12:24 am
mathfour:
@mathheadinc There are times we walk through things - basic things - and then I show the connection between that and the new stuff #mathchat
12:25 am
mathfour:
@republicofmath But all topics tie together. #mathchat
12:25 am
ColinTGraham:
OK, if you start using TLAs that are not known/used differently globally, people may get confused... TLA= three-letter acronym! #mathchat
12:25 am
DJ345:
RT @republicofmath: I think students can lean to dig deeper. They can learn to extend their own thinking. We don't have to always find new topics #mathchat
12:25 am
delta_dc:
@mthman Exactly. That's why we need to mentor them as to what self-assessment looks like. #mathchat
12:25 am
republicofmath:
@ColinTGraham Yep! I'm Doctor Why #mathchat
12:25 am
mathfour:
@mathheadinc My students are college algebra students. They are already past okay to discover and are at total fear and panic. #mathchat
12:26 am
suburbanlion:
RT @republicofmath: A new topic should, IMO, tie back into what came before, otherwise curriculum seems disjointed, loses coherence. #mathchat
12:26 am
mathfour:
@ColinTGraham DO RE MI FA SO LA TE DO #mathchat
12:26 am
ColinTGraham:
@mathfour So, in your case, it's OMG it's my last chance I'd better get this or I'm dead... #mathchat
12:27 am
mathfour:
@ColinTGraham Yep - my favorite kind of student. They leave my class thinking they can take Calculus - and they do! #mathchat
12:27 am
bpgannon:
#mathchat in Geometry i always see a loss of Ch. 1 vocabulary by Ch 3
12:27 am
mathheadinc:
@mathfour Why on earth did I think you were teaching K12? #mathchat
12:27 am
republicofmath:
@mathfour Not as explicitly & as often as you might think. Where do students learn disjointed view of math? #mathchat
12:27 am
mathfour:
@ColinTGraham I'm not a math teacher as much as a math counselor. #mathchat
12:28 am
mathfour:
@mathheadinc Because I have a little one at home? And because I have tutored those kiddos? #mathchat
12:28 am
ColinTGraham:
@mathfour You can see/know topics tie together, but the question is can the students? Often, connections need to be made explicit #mathchat
12:28 am
EarlSamuelson:
@republicofmath I agree.....I always try to weave ideas together....may not always be successful #mathchat
12:28 am
mathheadinc:
@mathfour I am not sure. #mathchat
12:29 am
republicofmath:
Colleague - yr 10 teacher - sees same thing @bpgannon #mathchat in Geometry i always see a loss of Ch. 1 vocabulary by Ch 3
12:29 am
mathfour:
@mathheadinc I would love to help K12 teachers make sure their kids don't end up in my class. That's why I do what I do. #mathchat
12:29 am
ColinTGraham:
@mathheadinc It's ok, you're an east-coaster and @mathfour is Texan... that should explain everything! ;-P #mathchat
12:30 am
mathheadinc:
@mathfour Oh, yeah, maybe the tutoring was it. #mathchat
12:30 am
mathheadinc:
@ColinTGraham What makes you think I'm an east coaster? ;-P #mathchat
12:30 am
mathfour:
@bpgannon It's because they don't have that vocab from early early years. They don't forget "plus" because they learned it at 5yo #mathchat
12:31 am
delta_dc:
@mthman So why don't you have the time. Project based learning assoc w/ UbD allows for more conferring #mathchat
12:31 am
mathheadinc:
@mathfour: @bpgannon If they can learn plus, they can learn sum, summand, subtrahend, etc., at that age. #mathchat
12:31 am
mathfour:
@bpgannon We should be teaching "axiom" and "theorem" a 5yo or earlier. Where's Daughter, we need to practice... #mathchat
12:31 am
ColinTGraham:
I see problems related to visualizing, 2D vs 3D, lack of geometry vs. algebra, inability to process data... what comes 1st? #mathchat
12:31 am
republicofmath:
@ColinTGraham I'm an east- coaster (there's not much east of here!) & I totally get @mathfour#mathchat
12:33 am
leomeloxp:
RT @mathfour: @bpgannon We should be teaching "axiom" and "theorem" a 5yo or earlier. Where's Daughter, we need to practice... #mathchat
12:33 am
delta_dc:
@ColinTGraham @mathfour exactly - our ELA brothers and sisters have us beat here - "think alouds". Another idea for what's next #mathchat
12:33 am
EarlSamuelson:
@ColinTGraham I present geometry and algebra in unison when I can #mathchat
12:33 am
mthman:
@delta_dc True...but limited by schedule, resources, PD...it's definitely the direction I'm leaning. #mathchat
12:33 am
ColinTGraham:
@republicofmath Oh I get @mathfour too, Gary. But maybe because I've met Texans before! But we shouldn't descend into stereotype #mathchat
12:33 am
mathheadinc:
@ColinTGraham We can teaching infinite series to a 7yo if all they know how to do is count. It doesn't matter where you start. #mathchat
12:34 am
mthman:
@delta_dc EIther that or thinking of going to a "flipped" class approach...would prefer PBL. #mathchat
12:34 am
delta_dc:
@mthman and if we can coach them to coach each other - that's what's next. Did you see Alan November's (@globalearner) #TEDxNYED? #mathchat
12:34 am
mathfour:
RT @mathheadinc We can teaching infinite series to a 7yo if all they know how to do is count. It doesnt matter where you start. #mathchat
12:34 am
leomeloxp:
I think it's easier to give a brief idea of real mathematical theories & axioms in early school than have to break concepts at uni #mathchat
12:35 am
mathheadinc:
@earlsamuelson One HS in the area enrolls 10th graders in geometry and college algebra at the same time. #mathchat
12:35 am
ColinTGraham:
@delta_dc OK, ELA=? Just to clarify for the non-North Americans? ;-) #mathchat
12:35 am
leomeloxp:
RT @ColinTGraham: @delta_dc OK, ELA=? Just to clarify for the non-North Americans? ;-) #mathchat
12:35 am
EarlSamuelson:
@mathheadinc I think that's a great idea #mathchat
12:36 am
mathheadinc:
@delta_dc Yes, when they teach each other they improve the understanding immensely. #mathchat
12:36 am
delta_dc:
@mthman not a fan of "flipped" - at least not as Khan suggests. It represents too much of a consumer mentality for me #mathchat
12:36 am
ColinTGraham:
@mathheadinc The starting point is not in question so much as where the answers lead... #mathchat
12:36 am
republicofmath:
I think algebra/geometry distinction in US is wrong-headed. Math is math (and not a 4 letter word!) #mathchat
12:37 am
delta_dc:
@ColinTGraham sorry ELA = English Language Arts - you said be brief #mathchat
12:37 am
mthman:
@delta_dc True...would prefer the content to have more meaning (via PBL). #mathchat
12:37 am
ColinTGraham:
@mthman OK, PBL= problem or project based learning? #mathchat
12:37 am
samandjt:
RT @republicofmath: I think algebra/geometry distinction in US is wrong-headed. Math is math (and not a 4 letter word!) #mathchat
12:37 am
mathfour:
@mathheadinc @delta_dc Coaching each other was how I learned - Freshman year in HS for me. It was great! #mathchat
12:37 am
mathheadinc:
@ColinTGraham They can lead anywhere as long as the connection is made somewhere along the line, OR they discover it. #mathchat
12:37 am
leomeloxp:
One can really be sure that it learned something when it is able to pass it on #MathChat (cc @delta_dc@mathheadinc)
12:37 am
bpgannon:
@mathheadinc @delta_dc so do we cut back on teacher taught and allow more student-guided learning? #mathchat
12:38 am
mathfour:
Yeah! RT @republicofmath: I think algebra/geometry distinction in US is wrong-headed. Math is math (and not a 4 letter word!) #mathchat
12:38 am
mthman:
@ColinTGraham PBL...Project Based Learning...#mathchat
12:38 am
leomeloxp:
RT @samandjt: RT @republicofmath: I think algebra/geometry distinction in US is wrong-headed. Math is math (and not a 4 letter word!) #mathchat
12:38 am
ColinTGraham:
@delta_dc Well, ELA could encompass EFL/ESOL/EAL or teaching English to English speakers... and I could wear my EFL hat... ;-) #mathchat
12:38 am
delta_dc:
@mathfour @mathheadinc Yes - it provides authentic purpose and audience - another thing ELA does better than us #mathchat
12:39 am
mathheadinc:
@delta_dc ELA? #mathchat
12:39 am
EarlSamuelson:
@ColinTGraham YES!!! Where does all of this lead is a great thing for students to know #mathchat
12:39 am
delta_dc:
@bpgannon @mathheadinc how does @garystager put it - LESS US, MORE THEM #mathchat
12:39 am
ColinTGraham:
@mathheadinc Tutoring and homeschooling are facing different challenges from classroom teachers in this respect, aren't they? #mathchat
12:39 am
mathfour:
@mathheadinc Yeah - I'm still confused as to what ELA is. *sigh* #mathchat
12:39 am
delta_dc:
@mathheadinc English Language Arts sorry, I'll quit being lazy. #mathchat
12:40 am
mathheadinc:
@bpgannon Absolutely not. They need to keep focus on whatever goal there is. #mathchat
12:40 am
oldak:
@republicofmath From functionalist perspective, couldn't one consider "algebra" and "geometry" to represent diff "tool sets"? #mathchat
12:40 am
bpgannon:
@delta_dc @mathheadinc and thus the elephant in the room MOTIVATION! #mathchat
12:40 am
mathfour:
@ColinTGraham @mathheadinc Yes, they are. And we'll be talking about that tonight at #HSMath - coincidentally (really) #mathchat
12:41 am
republicofmath:
Less us, more them is right on. Math is learned by active doing. Teachers need to zip the lip & listen more #mathchat
12:41 am
mathfour:
@oldak Depends on what you're using the tools for. More learning, no. Calculating how many miles to go before your fill up, yes. #mathchat
12:42 am
ColinTGraham:
@oldak Algebra and Geometry approach representation from functionally different directions, but the connection is significant... #mathchat
12:42 am
mathheadinc:
@bpgannon Not this classroom, tee hee! #mathchat
12:42 am
mathfour:
@bpgannon @delta_dc @mathheadinc Which reminds me of the Moore method of teaching. #mathchat
12:42 am
nitin:
@republicofmath symbolic thinking and geometric thinking involve different parts of brain. Distinction not "wrong-headed" IMHO #mathchat
12:42 am
leomeloxp:
@republicofmath I had a teacher at uni that used to treat us same level and teach like he was a student, it really worked out! #mathchat
12:42 am
samandjt:
.@oldak Yes diff tools, but y separated 4 the purpose of instruction. ths year U will learn the hammer. nxt year the screwdriver. #mathchat
12:43 am
republicofmath:
@oldak If you want. But from a mathematician's perspective they are math. Don't need a "tool" justification (Did I miss point?) #mathchat
12:43 am
mathheadinc:
We use the Socratic method on EVERYONE. Must teach them to think for themselves. #mathchat
12:43 am
mathfour:
@ColinTGraham Okay - I'm going to identify the elephant in this room - please link to (simple) def of flipped classroom. #mathchat
12:43 am
michaeleve_mas:
@republicofmath Yes to more student activity. Teachers often use talk as control mechanism. #mathchat
12:43 am
EarlSamuelson:
@mathheadinc "connections" must be made #mathchat students either discover those on their own or we give them a push in that direction
12:44 am
mthman:
RT @republicofmath: Less us, more them is right on. Math is learned by active doing. Teachers need to zip the lip & listen more #mathchat
12:44 am
ColinTGraham:
OK, before we get Waaaay off-topic... let's get back to ... next topic or expansion. Is it surface or depth? as I see it. #mathchat
12:44 am
delta_dc:
@mathfour @bpgannon @mathheadinc Yes, the online texts kids are developing (via @globalearner) are very similar to Moore method #mathchat
12:44 am
mathfour:
Got it... flipped: 1) Kids watch lectures and videos at home #mathchat
12:44 am
mathfour:
2) Class is for hands-on work and face-to-face interaction with teacher/peers #mathchat
12:46 am
bpgannon:
@mathfour so flipped: AKA "blended learning" #mathchat
12:46 am
mthman:
@mathfour The Flipped Classroom: http://youtu.be/2H4RkudFzlc #mathchat
12:46 am
mathfour:
@ColinTGraham Surface or depth? What do you mean? #mathchat
12:46 am
ColinTGraham:
We're not going into "flipping" that's another subject...How do we decide whether to change topic or continue same topic in depth? #mathchat
12:47 am
leomeloxp:
@mathfour This breaks a bit that idea of the "boring-to-death homework" that some people have in mind. #MathChat
12:47 am
mthman:
@ColinTGraham Do you base it on available curriculum, problems, activities, lethargy, ??? #mathchat
12:48 am
ColinTGraham:
@mathfour Change to a new topic is basically going to something at a surface level, whereas expansion means going deeper into it. #mathchat
12:48 am
mathfour:
@ColinTGraham I was just askin' for a definition, boss. Don't get all nutted up. #mathchat
12:48 am
oldak:
RT @mathfour: @oldak Depends on what you're using the tools for. More learning, no. Calculating how many miles to go before your fill up, yes. #mathchat
12:48 am
delta_dc:
@ColinTGraham can it be both? Maybe some learners want 2 go deeper & others want 2 make connections. Then they come back & present #mathchat
12:48 am
padgets:
#mathchat did somebody call? :0)
12:49 am
mathfour:
@padgets Heavenly days, woman. Where have you been? #mathchat
12:50 am
oldak:
@ColinTGraham From an applied perspective, only superficial properties matter - so there appears to be a distinction(?) #mathchat
12:50 am
mathheadinc:
@earlsamuelson Teachers must be there to push Ss in the right direction & remind of the detours along the way. #mathchat
12:50 am
oldak:
RT @ColinTGraham: @oldak Algebra and Geometry approach representation from functionally different directions, but the connection is significant... #mathchat
12:50 am
ColinTGraham:
@mthman Well that is the question... are there some times when expansion would be nice but not feasible? #mathchat
12:51 am
padgets:
#mathchat welllll been in the kitchen baking bread and cookies got the urge when I got home :)
12:51 am
republicofmath:
@nitin algebra/geometry distinction in school is totally wrong headed. Leads to segmented thinking. Math uses whole brain. #mathchat
12:51 am
EarlSamuelson:
@mathheadinc I agree......we need to give some direction, just as Colin is doing right now #mathchat
12:52 am
oldak:
@samandjt Perhaps it is just a matter of tradition. Trivium, quadrivium. Better to teach fundamentally to give deep understanding #mathchat
12:52 am
jonathancornick:
RT @republicofmath: Less us, more them is right on. Math is learned by active doing. Teachers need to zip the lip & listen more #mathchat
12:52 am
leomeloxp:
@ColinTGraham You mean in terms of teaching? Like teaching a topic deeper instead of linking it to other areas? #MathChat
12:52 am
mathfour:
@oldak But not really getting the superficial properties can lead to not seeing when there is a problem... with a bridge. #mathchat
12:52 am
mathheadinc:
@earlsamuelson We do get off track quite a bit :) #mathchat
12:52 am
ColinTGraham:
@oldak A distinction in application. By exploring overlaps between topics in more depth, though, sometimes greater insight arises #mathchat
12:52 am
oldak:
RT @samandjt: .@oldak Yes diff tools, but y separated 4 the purpose of instruction. ths year U will learn the hammer. nxt year the screwdriver. #mathchat
12:52 am
padgets:
#mathchat so I know you guys are almost done but am reading to catch up :)
12:52 am
republicofmath:
@delta_dc @ColinTGraham Making connections IS going deeper. #mathchat
12:53 am
mathheadinc:
@padgets I told them you would be here! #mathchat
12:53 am
oldak:
RT @republicofmath: @oldak If you want. But from a mathematician's perspective they are math. Don't need a "tool" justification (Did I miss point?) #mathchat
12:53 am
ColinTGraham:
@leomeloxp Or exploring some concepts more deeply because of their underlying contribution to other areas of mathematics. #MathChat
12:53 am
EarlSamuelson:
@mathheadinc This is a microcosm of what goes on in the classroom.....proof that we need to give direction #mathchat
12:53 am
leomeloxp:
@mathheadinc @earlsamuelson It's hard to keep focus since there are many people and some take longer to read tweets... #MathChat
12:53 am
oldak:
RT @mathfour: @oldak But not really getting the superficial properties can lead to not seeing when there is a problem... with a bridge. #mathchat
12:53 am
oldak:
RT @ColinTGraham: @oldak A distinction in application. By exploring overlaps between topics in more depth, though, sometimes greater insight arises #mathchat
12:54 am
leomeloxp:
@ColinTGraham I think that is a good idea, but it depends on the topic being taught. #MathChat
12:54 am
michaeleve_mas:
Perhaps not choice of hor. or vert. links but triangulated 3-d network between topics #mathchat
12:54 am
EarlSamuelson:
RT @ColinTGraham: @oldak A distinction in application. By exploring overlaps between topics in more depth, though, sometimes greater insight arises #mathchat
12:55 am
ColinTGraham:
@republicofmath My statement: "Change to new topic is going to something at a surface level,"... is based on what seems to happen #MathChat
12:55 am
mathfour:
@michaeleve_mas One heck of a lattice, indeed. That's the cool thing about math! #mathchat
12:55 am
leomeloxp:
@ColinTGraham But I think a wider aproach could be good in HS because it would show different aspects of math in general #MathChat
12:55 am
padgets:
#mathchat well.....I decide to go indepth when there is interest I move on when I have covered the topic and not more interest
12:55 am
oldak:
@ColinTGraham @mathfour Definitely agree better to build up from fundamentals - deeper understanding. Math often taught to an end #mathchat
12:55 am
mthman:
@ColinTGraham It's not feasible when the data shows mastery or you don't have receptive learners. #mathchat
12:56 am
ColinTGraham:
OK, we're only just getting worked up now and it's the last five minutes... #MathChat
12:56 am
mathheadinc:
@oldak Ss don't always know that a concept is MORE interesting and need you to show them. #mathchat
12:56 am
mathfour:
@oldak Indeed - that whole thing about science being grouped with math is horrid. Math isn't your tool, science! #mathchat
12:57 am
oldak:
RT @mathheadinc: @oldak Ss don't always know that a concept is MORE interesting and need you to show them. #mathchat
12:57 am
oldak:
RT @mathfour: @oldak Indeed - that whole thing about science being grouped with math is horrid. Math isn't your tool, science! #mathchat
12:57 am
padgets:
#mathchat @mathfour I totally agree! I am the perfect example of a science teacher not good at math or sewing!
12:57 am
ColinTGraham:
So, to summarize some points... Connections between topics are very important, Ss need to have an explicit idea about direction... #MathChat
12:57 am
EarlSamuelson:
If the opportunity presents itself, then definitely dig deeper. If real understanding depends on it, then dig deeper #mathchat
12:58 am
mathfour:
We're talking about #homeschool #math in an hour and three minutes on #HSMath about "what to teach when" #mathchat
12:58 am
mathfour:
@ColinTGraham Gettin' my plug in, boss. *meek smile* #mathchat
12:58 am
ColinTGraham:
Some topics will benefit from expansion/exploration in more depth, mastery/understand plays a role, text/exams/year group pressure #MathChat
12:58 am
padgets:
@mathfour #mathchat :0) LOL
12:58 am
oldak:
@mathfour Altho sci relies on math as a language/framework. Think relationship between math & sci is a bit deeper than application #mathchat
12:59 am
mathfour:
Way fun that I accidentally hit on a #HSMath topic so closely related to the one discussed tonight on #mathchat
12:59 am
ColinTGraham:
@mathfour Plugs are fine, Bon! #mathchat
12:59 am
republicofmath:
@nitin Yes, glad to DM references to you. Better, I will blog about it. Thanks for opprtunity. #mathchat
12:59 am
mathfour:
@oldak A pox on you for saying such blasphemy! ;-) #mathchat
1:00 am
leomeloxp:
RT @EarlSamuelson: If the opportunity presents itself, then definitely dig deeper. If real understanding depends on it, then dig deeper #mathchat
1:00 am
republicofmath:
@mathfour It was no accident #mathchat
1:00 am
padgets:
#mathchat I am humbled you all missed me, thanks for the love ;)
1:00 am
oldak:
RT @mathfour: @oldak A pox on you for saying such blasphemy! ;-) #mathchat
1:00 am
mathfour:
Daughter is 30 minutes late to bed, but clean (been so for an hour) gotta run y'all. It was fun! #mathchat
1:01 am
mathheadinc:
@padgets Well, of COURSE we did ;-P #mathchat
1:01 am
ColinTGraham:
Well, there we go Tweeps! Another fast and furious #MathChat We will be staying on the "How do I..." during April, so add some more ideas.
1:02 am
EarlSamuelson:
@ColinTGraham Thanks again Colin #mathchat
1:03 am
ColinTGraham:
I know Gary @republicofmath doesn't want to discuss interactive whiteboards... so get inventive! Link on #mathchat wiki http://bit.ly/gqjSiX
1:04 am
leomeloxp:
@oldak @mathfour But I must say some sci people are really lazy when learning maths. ~.~ #mathchat
1:04 am
ColinTGraham:
Nice to see some new 'faces' today! Follow @mathchat to keep updated, and the archive will be online in 20 mins or so #mathchat
1:06 am
oldak:
@leomeloxp @mathfour Oh, definitely. Math not emphasised on sci courses. Rudimentary/surface/functional understanding of stats, eg #mathchat
1:06 am
oldak:
RT @leomeloxp: @oldak @mathfour But I must say some sci people are really lazy when learning maths. ~.~ #mathchat
1:07 am
ColinTGraham:
@oldak @leomeloxp @mathfour Don't get me started on the under-representation of statistics and data-processing... ;-) #mathchat