Topic (follow-up to Friday, 1st April 2011):
How do I decide what to teach next, new topic or expansion?
As it happened on Monday, 4th April 2011, 20:30 - 22:00 GMT


@ColinTGraham Hello everyone, welcome to today's #mathchat
Mon Apr 04 19:30:29 +0000 2011 - tweet id - #112 tweet details


@ColinTGraham Welcome to any newcomers or observers. Don't forget to use the hashtag --> #mathchat
Mon Apr 04 19:31:57 +0000 2011 - tweet id - #113 tweet details


@ColinTGraham Today's topic: "How do I decide what to teach next, new topic or expansion?" #mathchat
Mon Apr 04 19:32:31 +0000 2011 - tweet id - #114 tweet details


@oldak 1930 UTC: time to listen-to/watch the live @AriShaffir podcast (http://ustream.tv/redban) while participating in #mathchat | #ADHD
Mon Apr 04 19:34:20 +0000 2011 - tweet id - #117tweet details


@ColinTGraham This presupposes you have some flexibility in your delivery of content, if not, can you still decide? #mathchat
Mon Apr 04 19:35:32 +0000 2011 - tweet id - #118tweet details


@bucharesttutor @ColinTGraham don't quite understand the question for today #mathchat? Any brief explanation would do. Thanks
Mon Apr 04 19:35:58 +0000 2011 - tweet id - #119tweet details


@chris_1974 @ColinTGraham I look to see if I have covered enough, but then do i want to more. Eg Y10 went to C3 alg fractions 'cos I wanted to #mathchat
Mon Apr 04 19:36:33 +0000 2011 - tweet id - #120 tweet details


@ColinTGraham @bucharesttutor At some point, you may want to continue a topic farther/in more depth, rather than switching "as planned" #mathchat
Mon Apr 04 19:37:00 +0000 2011 - tweet id - #121 tweet details


@Janshs @ColinTGraham #mathchat could it be about the way it is delivered? in other words, does it vary from student to student within a class?
Mon Apr 04 19:37:29 +0000 2011 - tweet id - #122 tweet details


@ColinTGraham @chris_1974 How are you judging the coverage, Chris? By year, term, PoW? #mathchat
Mon Apr 04 19:38:11 +0000 2011 - tweet id - #125tweet details


@chris_1974 @ColinTGraham exam specs determine bare minimum. beyond that up to me, according to time / kids #mathchat
Mon Apr 04 19:38:46 +0000 2011 - tweet id - #126tweet details


@mathtech #mathchat Why not let the students decide - if you operate in a system where there is some flexibility, of course.
Mon Apr 04 19:38:50 +0000 2011 - tweet id - #127tweet details


@ColinTGraham @Janshs That would be the case in a differentiated class, Jan. How about where there is a lot of content, though? #mathchat
Mon Apr 04 19:39:38 +0000 2011 - tweet id - #128tweet details


@ColinTGraham @chris_1974 Do you focus on weak areas or build on concepts that Ss already have and develop them in greater depth? #mathchat
Mon Apr 04 19:40:34 +0000 2011 - tweet id - #129tweet details


@Janshs @ColinTGraham mmm amount of content sure to vary according to both age & stage I guess #mathchat - so is it about a gut feeling?
Mon Apr 04 19:41:06 +0000 2011 - tweet id - #130 tweet details


@ColinTGraham @mathtech Do you think students can make informed decisions about what would be best? Need vs. want comes into play here, maybe. #mathchat
Mon Apr 04 19:41:51 +0000 2011 - tweet id - #131 tweet details


@ColinTGraham @Janshs Gut feeling usually gets refined with experience, or does it? How about early stages where you don't know a class well? #mathchat
Mon Apr 04 19:43:14 +0000 2011 - tweet id - #132 tweet details


@bucharesttutor Judging by the level of understanding in the class, I may go farther or try explaining more on the present topic #mathchat
Mon Apr 04 19:43:14 +0000 2011 - tweet id - #133 tweet details


@oldak @mathtech At what level are students capable of deciding their own curriculum? Teacher may make better-informed choice. #mathchat
Mon Apr 04 19:43:30 +0000 2011 - tweet id - #134 tweet details


@chris_1974 @ColinTGraham it depends on class. I go where is best for them; be that depth, breadth or simply greater understanding. #mathchat
Mon Apr 04 19:44:18 +0000 2011 - tweet id - #135tweet details


@Janshs @ColinTGraham agree early stages can be an issue but experience (and data re prior performance) shd help #mathchat
Mon Apr 04 19:44:24 +0000 2011 - tweet id - #136tweet details


@ColinTGraham @bucharesttutor How do you measure the level of understanding or does it come back to @Janshs's idea of gut feeling? #mathchat
Mon Apr 04 19:44:49 +0000 2011 - tweet id - #137tweet details


@Janshs #mathchat I do also like to throw in a little history of Maths or some other contextual info such as cross curricular etc
Mon Apr 04 19:45:21 +0000 2011 - tweet id - #138tweet details


@chris_1974 me to. RT @Janshs: #mathchat I do also like to throw in a little history of Maths or some other contextual info such as cross curricular etc
Mon Apr 04 19:45:54 +0000 2011 - tweet id - #139tweet details


@leomeloxp .@Janshs I think history or context are really important to teach. It also helps on understanding the concepts better #mathchat
Mon Apr 04 19:46:17 +0000 2011 - tweet id - #141 geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@ColinTGraham @chris_1974 So you are taking a 'whole class' approach, or does it go on majority of class level/situation? #mathchat
Mon Apr 04 19:46:20 +0000 2011 - tweet id - #142 tweet details


@chris_1974 @ColinTGraham all of the above. It usually comes from going with flow of what class want / need, and my mood! #mathchat
Mon Apr 04 19:47:14 +0000 2011 - tweet id - #143 tweet details


@ColinTGraham @Janshs @chris_1974 Me three. I am definitely a cross-curriculizer when I can be... sneak the maths in through the back... #mathchat
Mon Apr 04 19:47:31 +0000 2011 - tweet id - #144 tweet details


@republicofmath sensei = "born before", teaches based on wisdom from age, experience: why teacher is teacher. Can still hear student interests #mathchat
Mon Apr 04 19:47:33 +0000 2011 - tweet id - #145tweet details


@leomeloxp RT @ColinTGraham: @Janshs @chris_1974 Me three. I am definitely a cross-curriculizer when I can be... sneak the maths in through the back... #mathchat
Mon, 04 Apr 2011 19:48:22 +0000 - tweet id - #146tweet details


@ColinTGraham @republicofmath There are also the Greek philosophers who said the teacher need only be one step ahead of the pupil. #mathchat
Mon Apr 04 19:48:39 +0000 2011 - tweet id - #147tweet details


@republicofmath @ColinTGraham Yep, one step is probably older & wiser #mathchat
Mon Apr 04 19:49:31 +0000 2011 - tweet id - #148tweet details


@leomeloxp @chris_1974 @ColinTGraham I think the need/want is important. And sometimes need also involves teaching some introduction/base #mathchat
Mon Apr 04 19:49:42 +0000 2011 - tweet id - #149geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@ColinTGraham Does anyone make connections to a new topic by an expansion from the previous one, or do clean breaks work better? #mathchat
Mon Apr 04 19:50:11 +0000 2011 - tweet id - #150 tweet details


@oldak RT @republicofmath: sensei = "born before", teaches based on wisdom from age, experience: why teacher is teacher. Can still hear student interests #mathchat
Mon, 04 Apr 2011 19:50:31 +0000 - tweet id - #151 tweet details


@oldak RT @ColinTGraham: @republicofmath There are also the Greek philosophers who said the teacher need only be one step ahead of the pupil. #mathchat
Mon, 04 Apr 2011 19:50:33 +0000 - tweet id - #152 tweet details


@republicofmath So, I think both new topic & expansion should tie into what came before. Coherence of curriculum. #mathchat
Mon Apr 04 19:51:03 +0000 2011 - tweet id - #153 tweet details


@leomeloxp @ColinTGraham Expansions seems to work better for me, It shows progress/evolution, makes it easier to follow. Ain't I right? #mathchat
Mon Apr 04 19:51:12 +0000 2011 - tweet id - #154 geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@ColinTGraham @republicofmath For me, the one-step-ahead idea is tied into Vygotsky's zone of proximal development, where someone needs to help #mathchat
Mon Apr 04 19:51:42 +0000 2011 - tweet id - #155tweet details


@republicofmath No clean breaks. We don't want none of your clean breaks! @ColinTGraham #mathchat
Mon Apr 04 19:51:49 +0000 2011 - tweet id - #156tweet details


@AmyInspires @ColinTGraham I like to connect concepts as it deepens learning of previous topics and makes new topics more meaningful too! #mathchat
Mon Apr 04 19:52:39 +0000 2011 - tweet id - #157tweet details


@Janshs @ColinTGraham another good Q! #mathchat I like to start a new topic w/ discussion of what's already known: spider diagram, hot seat game etc
Mon Apr 04 19:52:48 +0000 2011 - tweet id - #158tweet details


@padgets #mathchat Hey everybody Sharon here HS science teacher from Iowa, lurking as I am still in class :)
Mon Apr 04 19:53:22 +0000 2011 - tweet id - #159tweet details


@ColinTGraham OK, I know I'm tweeting to the choir here... about connecting with prior learning... #mathchat
Mon Apr 04 19:54:15 +0000 2011 - tweet id - #160 tweet details


@ColinTGraham @padgets Hi Sharon. You've managed to escape from your basement safely then! ;-) #mathchat
Mon Apr 04 19:54:45 +0000 2011 - tweet id - #161 tweet details


@bucharesttutor @ColinTGraham sorry fr the late response. My answer, periodic tests n regular feedback after tests help in moving on the nxt topic #mathchat
Mon Apr 04 19:55:23 +0000 2011 - tweet id - #162 tweet details


@roannedods RT @republicofmath: sensei = "born before", teaches based on wisdom from age, experience: why teacher is teacher. Can still hear student interests#mathchat
Mon, 04 Apr 2011 19:55:39 +0000 - tweet id - #163 tweet details


@Janshs ah! the ZPD idea, I like it #mathchat how about encouraging stdts to particiapte in a community of practice?
Mon Apr 04 19:55:46 +0000 2011 - tweet id - #164 tweet details


@ColinTGraham Are there topics which seem particularly difficult to connect to or expand on in your curriculum? Any 'stand-alones'? #mathchat
Mon Apr 04 19:56:01 +0000 2011 - tweet id - #166tweet details


@leomeloxp @bucharesttutor The test is kind of needed, but feedback after it can sure tell the teacher where and how to go next #mathchat
Mon Apr 04 19:56:17 +0000 2011 - tweet id - #167geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@Janshs RT @ColinTGraham OK, I know I'm tweeting to the choir here... about connecting with prior learning... #mathchat >> :-)
Mon Apr 04 19:56:33 +0000 2011 - tweet id - #168tweet details


@republicofmath @ColinTGraham Prior learning, building on it, through a coherent curriculum. Knowing where students are, what interests them ... #mathchat
Mon Apr 04 19:56:37 +0000 2011 - tweet id - #169tweet details


@CutTheKnotMath @republicofmath @ColinTGraham Clean break? May teach a topic or a method. Method applies to many topics. Topics solved by many mts#mathchat
Mon Apr 04 19:56:39 +0000 2011 - tweet id - #170 tweet details


@ColinTGraham @bucharesttutor So diagnostic testing to determine what happens next? #mathchat
Mon Apr 04 19:56:49 +0000 2011 - tweet id - #171 tweet details


@oldak #mathchat One-step-ahead suggests lack of depth-of-understanding. May empathise with student, but lack insight into structure of knowledge
Mon Apr 04 19:58:53 +0000 2011 - tweet id - #172 tweet details


@ColinTGraham @CutTheKnotMath @republicofmath By clean break, I am suggesting, say, moving onto data-handling after a session on geometry... #mathchat
Mon Apr 04 19:59:25 +0000 2011 - tweet id - #173 tweet details


@bucharesttutor @leomeloxp exactly and it also gives a fair idea as how to proceed for the topics that follow #mathchat
Mon Apr 04 20:00:13 +0000 2011 - tweet id - #174 tweet details


@republicofmath Right, & how to help students see connections? @CutTheKnotMath Teach method, applies to many topics, solved by many methods #mathchat
Mon Apr 04 20:00:33 +0000 2011 - tweet id - #175tweet details


@ColinTGraham @oldak One-step-ahead could also suggest that the teacher knows exactly where they are taking the student... #mathchat
Mon Apr 04 20:00:45 +0000 2011 - tweet id - #176tweet details


@leomeloxp @bucharesttutor Besides, if the class helps you can determine which students need some extra teaching on that specific topic. #mathchat
Mon Apr 04 20:00:54 +0000 2011 - tweet id - #177geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@Janshs @republicofmath agree connections most important really #mathchat simple things like equivalence can show real understanding
Mon Apr 04 20:01:42 +0000 2011 - tweet id - #178tweet details


@ColinTGraham @oldak If there is 'too much' insight, the teacher may move 10 steps and lose the student by not being close to the learning #mathchat
Mon Apr 04 20:01:55 +0000 2011 - tweet id - #179tweet details


@bucharesttutor @ColinTGraham Regular tests, quizzes n also having healthy discussions with the best S to explain the class his method wd be next #mathchat
Mon Apr 04 20:01:55 +0000 2011 - tweet id - #180 tweet details


@republicofmath @ColinTGraham Geometry can give much data. Also applies to data (convex hull, e.g.) Build connections b'ween topics & methods, too #mathchat
Mon Apr 04 20:01:56 +0000 2011 - tweet id - #181 tweet details


@republicofmath Whew! Still an hour to go for MegaMathChat #mathchat
Mon Apr 04 20:02:44 +0000 2011 - tweet id - #182 tweet details


@leomeloxp @ColinTGraham @oldak I don't really understand the one-step-ahead approach, you can plan, but be aware that you might change it #mathchat
Mon Apr 04 20:02:56 +0000 2011 - tweet id - #183 geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@oldak @ColinTGraham Yes, but there may be common, incorrect ways of thinking about an issue. May not have depth of knowledge to see this #mathchat
Mon Apr 04 20:03:20 +0000 2011 - tweet id - #184 tweet details


@ColinTGraham @republicofmath I'm not saying connections cannot be made, it's just some teachers may decide to change completely for variety #mathchat
Mon Apr 04 20:03:55 +0000 2011 - tweet id - #185 tweet details


@Hey_MsK I wish it weren't my bedtime I'm missing MegaMathChat :'( #mathchat
Mon Apr 04 20:04:08 +0000 2011 - tweet id - #186 tweet details


@oldak @leomeloxp @ColinTGraham I'm thinking about taking lessons in piano, while teaching piano to someone who is a level below. #mathchat
Mon Apr 04 20:04:17 +0000 2011 - tweet id - #187 tweet details


@eMlanis RT @republicofmath: Whew! Still an hour to go for MegaMathChat#mathchat
Mon Apr 04 20:04:41 +0000 2011 - tweet id - #188 tweet details


@dansmath hi all. i often go off on relevant tangents and gauge their response; if positive i go into more depth. and connect to prev topics #mathchat
Mon Apr 04 20:04:46 +0000 2011 - tweet id - #189 tweet details


@bucharesttutor @leomeloxp precisely n based on that we can give more practise n examples to challenge the students #mathchat
Mon Apr 04 20:04:48 +0000 2011 - tweet id - #190 tweet details


@leomeloxp @oldak @ColinTGraham @bucharesttutor So more than being ahead of class it is important to have discussions and know their needs #mathchat
Mon Apr 04 20:04:53 +0000 2011 - tweet id - #191 geo info: Point - lat = -23.720002 - long = -46.530668 tweet details


@ColinTGraham @leomeloxp The one-step-ahead as I use it, is to decide whether to take Ss farther down the same topic or take a branching path. #mathchat
Mon Apr 04 20:05:03 +0000 2011 - tweet id - #192 tweet details


@mathfour Peekin' in on #mathchat ...
Mon Apr 04 20:05:14 +0000 2011 - tweet id - #193 tweet details


@republicofmath @oldak "depth of knowledge" Applies to all teachers, at all levels. Hope for, or seek, best teacher possible, in or out of school. #mathchat
Mon Apr 04 20:05:16 +0000 2011 - tweet id - #194 tweet details


@oldak @ColinTGraham Isn't "[losing] the student" more related to teaching ability & empathy/understanding, rather than math knowledge? #mathchat
Mon Apr 04 20:05:16 +0000 2011 - tweet id - #195 tweet details


@ColinTGraham @dansmath Positive=motivation/interest or positive=grasping quickly or ...? #mathchat
Mon Apr 04 20:06:27 +0000 2011 - tweet id - #197tweet details


@republicofmath @mathfour Is one alllowed to "peek" on Twitter? Shouldn't you be using "Peeker? #mathchat
Mon Apr 04 20:06:30 +0000 2011 - tweet id - #198tweet details


@republicofmath @mathfour BTW @padgets is lurking #mathchat
Mon Apr 04 20:07:18 +0000 2011 - tweet id - #199tweet details


@ColinTGraham @oldak Yes, that is my point, I see one-step-ahead as being about methodological approach, rather than knowing the next chapter #mathchat
Mon Apr 04 20:07:28 +0000 2011 - tweet id - #200 tweet details


@leomeloxp @oldak @ColinTGraham I think that losing a S can happen in any area right? But today's #mathchat can help you avoiding that on our area.
Mon Apr 04 20:07:40 +0000 2011 - tweet id - #201 geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@mathfour @republicofmath @padgets Lurkers all 'round! (there's a pi joke in there somewhere!) #mathchat
Mon Apr 04 20:07:55 +0000 2011 - tweet id - #202 tweet details


@ColinTGraham @mathfour Hi Bon. Enjoy your peek! #mathchat
Mon Apr 04 20:08:02 +0000 2011 - tweet id - #204 tweet details


@clarkformaths I think I'd like to join in on tonight's #mathchat. Even though it is late here in SA.
Mon Apr 04 20:08:21 +0000 2011 - tweet id - #205tweet details


@republicofmath @ColinTGraham Sorry - misunderstood "one step ahead"#mathchat
Mon Apr 04 20:08:48 +0000 2011 - tweet id - #206tweet details


@MrHonner A clean break every so often is a good thing--allows lost students to re-focus. Plus, everything comes back around eventually. #mathchat
Mon Apr 04 20:09:03 +0000 2011 - tweet id - #207tweet details


@bucharesttutor @leomeloxp @oldak @ColinTGraham its always nice to see the general level of a class by testing them n then moving farther #mathchat
Mon Apr 04 20:09:13 +0000 2011 - tweet id - #208tweet details


@leomeloxp @ColinTGraham @oldak Now I see the one-step-ahead clearly, thanks for the enlightenment #mathchat
Mon Apr 04 20:09:16 +0000 2011 - tweet id - #209geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@dansmath @ColinTGraham yes i meant interest; if i go off-road i don't want to lose my passengers on the bumps! #mathchat
Mon Apr 04 20:09:34 +0000 2011 - tweet id - #210 tweet details


@republicofmath Earl, is that a new topic or an extension? @earlsamuelson Introduction to #calculus Integration by Partial Fractions #mathchat
Mon Apr 04 20:09:38 +0000 2011 - tweet id - #211 tweet details


@mathfour @republicofmath What the heck is MegaMathChat? What am I missing? ARG! #mathchat
Mon Apr 04 20:09:39 +0000 2011 - tweet id - #212 tweet details


@oldak @ColinTGraham Right, I was thinking of a different sense of "one step ahead" - agree with you. #mathchat
Mon Apr 04 20:10:26 +0000 2011 - tweet id - #213 tweet details


@padgets #mathchat okie dokie class is done now down to some serious chatting LOL :)
Mon Apr 04 20:10:27 +0000 2011 - tweet id - #214 tweet details


@leomeloxp Me too RT @oldak: @ColinTGraham Right, I was thinking of a different sense of "one step ahead" - agree with you. #mathchat
Mon Apr 04 20:10:56 +0000 2011 - tweet id - #215geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@ColinTGraham One-step-ahead is often/usually taken to mean that you needed just one more bit of knowledge as a teacher to help your students #mathchat
Mon Apr 04 20:11:12 +0000 2011 - tweet id - #216tweet details


@ColinTGraham That was the context and "take-away" of most of the discussions by the Greeks... few go farther into the discussions themselves! #mathchat
Mon Apr 04 20:12:30 +0000 2011 - tweet id - #217tweet details


@republicofmath @ColinTGraham Contrary to common belief, I feel it is harder to teach grade 1 math than senior u'grad. #mathchat #onestepahead
Mon Apr 04 20:12:31 +0000 2011 - tweet id - #218tweet details


@mathtech #mathchat@MrHonner - I agree. Sometimes a clean break gives the time required to allow a concept to percolate in.
Mon Apr 04 20:13:24 +0000 2011 - tweet id - #219tweet details


@ColinTGraham @republicofmath I'm not going to disagree with you on that Gary. But I am not of the common belief! #mathchat #onestepahead
Mon Apr 04 20:13:32 +0000 2011 - tweet id - #220 tweet details


@republicofmath So I feel that early grades teachers need to be very many steps ahead #mathchat #onestepahead
Mon Apr 04 20:14:00 +0000 2011 - tweet id - #221 tweet details


@leomeloxp @republicofmath That means you prefer to have students with lots of baggage rather than planting the seeds on kids.. #mathchat #onestepahead
Mon Apr 04 20:14:01 +0000 2011 - tweet id - #222 geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@oldak @republicofmath @ColinTGraham Is difficulty grade1 vs. ugrad related to articulating concepts in a way the audience understands? #mathchat
Mon Apr 04 20:14:38 +0000 2011 - tweet id - #223 tweet details


@ColinTGraham @MrHonner When you are working with HS or Ss in higher ed, I think they can be more able to deal with disconnection #mathchat
Mon Apr 04 20:14:46 +0000 2011 - tweet id - #224 tweet details


@MrHonner @republicofmath I once tried to teach an adult friend how to add signed numbers. It's easier teaching multi-variable! #mathchat
Mon Apr 04 20:14:55 +0000 2011 - tweet id - #225tweet details


@leomeloxp @republicofmath I believe it is easier for the theacher to talk with someone almost on his level, right? #mathchat #onestepahead
Mon Apr 04 20:15:10 +0000 2011 - tweet id - #226geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@clarkformaths This is a fundamental problem in SA RT @republicofmath: So I feel that early grades teachers need to be many steps ahead #mathchat
Mon Apr 04 20:15:38 +0000 2011 - tweet id - #227tweet details


@leomeloxp @MrHonner @republicofmath I saw that happen lots on my first year at uni XD #mathchat
Mon Apr 04 20:15:51 +0000 2011 - tweet id - #228geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@ColinTGraham @oldak Difficulty with early years teaching is knowing enough about how kids build up a mathematical understanding of the world #mathchat
Mon Apr 04 20:16:10 +0000 2011 - tweet id - #229tweet details


@mathtech #mathchat The hardest to teach are students that 'hate' math or see no value in learning it. Need to be a bit of an entertainer...
Mon Apr 04 20:16:13 +0000 2011 - tweet id - #230 tweet details


@republicofmath @ColinTGraham Ah! Ye not of the common belief! #onestepaheadis dangerous IMO in early grades. Not so serious at advanced level #mathchat
Mon Apr 04 20:16:18 +0000 2011 - tweet id - #231 tweet details


@ColinTGraham @mathtech So in that situation would you keep changing topic just to keep them on their toes? #mathchat
Mon Apr 04 20:17:09 +0000 2011 - tweet id - #233 tweet details


@chris_1974 hello, back from collecting eldest from guides, trying to get up to speed with #mathchat
Mon Apr 04 20:17:30 +0000 2011 - tweet id - #234 tweet details


@republicofmath @oldak Yes, and also having deeper undestanding of developmental issues of learning #math #mathchat
Mon Apr 04 20:17:36 +0000 2011 - tweet id - #235tweet details


@ColinTGraham @oldak Without a deep understanding of the underlying concepts, teachers of early years will fail to help kids build foundations #mathchat
Mon Apr 04 20:18:20 +0000 2011 - tweet id - #236tweet details


@republicofmath @mathteach I think find their intersts and start from there. See @mathfour's great post today. #mathchat
Mon Apr 04 20:18:44 +0000 2011 - tweet id - #237tweet details


@ColinTGraham @oldak You are also dealing with levels of cognitive development and how different ages absorb and process learning.... #mathchat
Mon Apr 04 20:19:13 +0000 2011 - tweet id - #238tweet details


@leomeloxp @ColinTGraham Did you have teaching foundations or teaching kids as a topic already on #mathchat? I would like to see it happening if not =]
Mon Apr 04 20:19:13 +0000 2011 - tweet id - #239geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@bucharesttutor One of the best way teaching Math would be hirin teachers as per the "subject area" of expertise in Math #mathchat, improve qual in teaching
Mon Apr 04 20:19:16 +0000 2011 - tweet id - #240 tweet details


@republicofmath Are we teaching ballet? @ColinTGraham @mathtech So ... would you keep changing topic just to keep them on their toes? #mathchat
Mon Apr 04 20:19:32 +0000 2011 - tweet id - #241 tweet details


@DaveLanovaz @MrHonner Easier teaching complex ideas because we're so used to the 'basics', we may forget where they come from # mathchat
Mon, 04 Apr 2011 20:19:49 +0000 - tweet id - #242 tweet details


@ColinTGraham @leomeloxp I'm working on the possibility of a weekend #mathchatwebinar/unconference for early years teaching and lesson planning...
Mon Apr 04 20:20:22 +0000 2011 - tweet id - #243 tweet details


@leomeloxp @republicofmath @ColinTGraham @mathtech Keeping students "on their toes" is a big problem in Brazil. #mathchat
Mon Apr 04 20:20:45 +0000 2011 - tweet id - #244 geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@republicofmath @bucharesttutor So who would teaching counting to 3-5 year olds? Deep subject knowledge needed for good job. #mathchat
Mon Apr 04 20:20:56 +0000 2011 - tweet id - #245tweet details


@oldak RT @republicofmath: @oldak Yes, and also having deeper undestanding of developmental issues of learning #math #mathchat
Mon Apr 04 20:21:15 +0000 2011 - tweet id - #246tweet details


@ColinTGraham @chris_1974 We've been discussing one-step-ahead as a methodology... in terms of next step on the same path or a connecting path #mathchat
Mon Apr 04 20:21:30 +0000 2011 - tweet id - #247tweet details


@leomeloxp @ColinTGraham Lots of teachers are famous for being magicians/clowns or whatever it takes to keep the Ss focused... #mathchat
Mon Apr 04 20:21:40 +0000 2011 - tweet id - #248geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@MrHonner I love changing a class from algebra to geometry to trig; students always have a chance to get back on track. #mathchat
Mon Apr 04 20:22:13 +0000 2011 - tweet id - #249tweet details


@padgets #mathchat well after reading awhile I like to stay one step ahead, keeps things flowing and moving and a grovin less behavior problems
Mon Apr 04 20:22:30 +0000 2011 - tweet id - #250 tweet details


@ColinTGraham @leomeloxp Well @BubblzMaths makes her living as a maths clown and she'll be talking about her work at the end of April... #mathchat
Mon Apr 04 20:22:31 +0000 2011 - tweet id - #251 tweet details


@MrHonner But you need to see the big picture as a teacher (i.e. real content knowledge) in order to make those connections seem natural. #mathchat
Mon Apr 04 20:22:51 +0000 2011 - tweet id - #252 tweet details


@leomeloxp @MrHonner That's very good, but showing the link between the three, can being a student back to the older topics too #mathchat
Mon Apr 04 20:22:57 +0000 2011 - tweet id - #253 geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@bucharesttutor @republicofmath as per me, a person well versed in the number system besides sound knowledge in add, subtract, multiply n divide #mathchat
Mon Apr 04 20:23:21 +0000 2011 - tweet id - #254 tweet details


@suburbanlion @republicofmath curious, what changes would you make to grade 1 math to provide a better foundation for later? #mathchat
Mon Apr 04 20:23:50 +0000 2011 - tweet id - #255tweet details


@leomeloxp @ColinTGraham I'll search for @BubblzMaths work later, sounds very interesting. But that's not exactly what I meant for Br schools #mathchat
Mon Apr 04 20:24:28 +0000 2011 - tweet id - #256geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@DaveLanovaz @MrHonner Students often appreciate a change of pace. #mathchat
Mon Apr 04 20:24:57 +0000 2011 - tweet id - #257tweet details


@leomeloxp @ColinTGraham Many times I saw the teachers from here just giving up on teaching maths by lack of cooperation from the Ss... #mathchat
Mon Apr 04 20:25:05 +0000 2011 - tweet id - #258geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@padgets #mathchat just did conversions today as part of my geological time lesson you all would be proud :0)
Mon Apr 04 20:25:07 +0000 2011 - tweet id - #259tweet details


@republicofmath Bubblz n others: http://wp.me/p1mk0j-zs @ColinTGraham @leomeloxp @BubblzMaths makes her living as maths clown.. #mathchat
Mon Apr 04 20:25:10 +0000 2011 - tweet id - #260 tweet details


@ColinTGraham I think a lot of the way I decide on the next step is based on connecting to real-world, at least until 14/15yo... #mathchat
Mon Apr 04 20:25:42 +0000 2011 - tweet id - #261 tweet details


@Janshs @ColinTGraham then there is the 'elegance of solution' point of view#mathchat ( I was never VG @ that but can see the point now)
Mon Apr 04 20:25:44 +0000 2011 - tweet id - #262 tweet details


@MrHonner @leomeloxp Exactly. That's why it's so important to have real content knowledge as a teacher--to show students the connections. #mathchat
Mon Apr 04 20:26:07 +0000 2011 - tweet id - #263 tweet details


@republicofmath @bucharesttutor And do you know why a student who cannot count hidden objects cannot count on? How would you teach counting on? #mathchat
Mon Apr 04 20:26:11 +0000 2011 - tweet id - #264 tweet details


@padgets #mathchat Tomorrow I am doing plate tectonics measuring hold on to your hat!
Mon Apr 04 20:26:30 +0000 2011 - tweet id - #266tweet details


@leomeloxp @MrHonner But also, being capable of making such connections demand a good knowledge and skill from the teacher's side #mathchat
Mon, 04 Apr 2011 20:26:49 +0000 - tweet id 55003409367056384 - #267geo info: Point - lat = -23.72 - long = -46.5307tweet details


@leomeloxp @MrHonner But also, being capable of making such connections demand a good knowledge and skill from the teacher's side #mathchat
Mon Apr 04 20:26:49 +0000 2011 - tweet id - #268geo info: Point - lat = -23.720002 - long = -46.530668tweet details


@MrHonner @DaveLanovaz Agreed. Teachers, too! My point is that you can have coherence and variety. #mathchat
Mon, 04 Apr 2011 20:27:17 +0000 - tweet id 55003525746401280 - #269tweet details


@republicofmath @padgets May the Earth move for you! #mathchat
Mon, 04 Apr 2011 20:27:30 +0000 - tweet id 55003582205919232 - #271 tweet details


@oldak @MrHonner Mindful that different students think in different ways - visual, process, kinesthetic. May bear on s pref for geom/alg #mathchat
Mon, 04 Apr 2011 20:27:52 +0000 - tweet id 55003672584794112 - #273 tweet details


@padgets @republicofmath #mathchat AMEN!
Mon, 04 Apr 2011 20:27:57 +0000 - tweet id 55003694122549248 - #275tweet details


@ColinTGraham For me, the variance in methodology/concept is highlighted by doctoral candidate and supervisor compared with primary teacher #mathchat
Mon, 04 Apr 2011 20:28:23 +0000 - tweet id 55003803094745088 - #277tweet details


@republicofmath When beginnig new topic or extension do you let, or encourage, students to play? #mathchat
Mon Apr 04 20:29:03 +0000 2011 - tweet id - #280 tweet details


@ColinTGraham @DaveLanovaz Change of pace can be achieved by moving faster in the same direction or by climbing an uphill path, though... #mathchat
Mon, 04 Apr 2011 20:29:35 +0000 - tweet id 55004104690368512 - #281 tweet details


@ColinTGraham @padgets How do you decide on new topic or expansion in your science teaching Sharon? #mathchat
Mon Apr 04 20:30:18 +0000 2011 - tweet id - #284 tweet details


@Janshs RT @republicofmath When beginnig new topic or extension do you let, or encourage, students to play? #mathchat >> want to but don't always ..
Mon, 04 Apr 2011 20:30:22 +0000 - tweet id 55004301491310592 - #285tweet details


@bucharesttutor @republicofmath no idea my man #mathchat, pardon my ignorance
Mon Apr 04 20:30:44 +0000 2011 - tweet id - #288tweet details


@MrHonner @oldak In my math research class, I survey the students: algebra / geometry preference is usually split pretty evenly every year. #mathchat
Mon, 04 Apr 2011 20:31:20 +0000 - tweet id 55004547491442688 - #289tweet details


@republicofmath I feel students should always be encouraged to dig deeper. @jamestanton does this beautifully through play #mathchat
Mon Apr 04 20:31:33 +0000 2011 - tweet id - #292 tweet details


@ColinTGraham @republicofmath Play can be difficult unless guided for some topics or ages... #mathchat
Mon, 04 Apr 2011 20:32:00 +0000 - tweet id 55004715561394176 - #293 tweet details


@republicofmath @janshs No, me neither, but I feel I should. Follow @jamestanton's example #mathchat
Mon Apr 04 20:32:18 +0000 2011 - tweet id - #296tweet details


@leomeloxp Well, #MathChat I'll have to leave for a bit, hope I can catch up later, see you o/
Mon, 04 Apr 2011 20:32:28 +0000 - tweet id 55004832897052672 - #297geo info: Point - lat = -23.72 - long = -46.5307tweet details


@padgets #mathchat @ColinTGraham ummm well, I have a curriculum in place, if a current event warrants further study i roll with it
Mon Apr 04 20:32:59 +0000 2011 - tweet id - #300 tweet details


@ColinTGraham @MrHonner Sounds like a job for using GeoGebra then, and connecting the geometry to the algebra directly! #mathchat
Mon, 04 Apr 2011 20:33:02 +0000 - tweet id 55004973196509184 - #301 tweet details


@Janshs #mathchat @republicofmath yes totally agree @jamestanton
Mon Apr 04 20:33:04 +0000 2011 - tweet id - #304 tweet details


@republicofmath @buchesttutor. No problem! But you see it's not so easy. #mathchat
Mon, 04 Apr 2011 20:33:05 +0000 - tweet id 55004987671056384 - #305tweet details


@earlsamuelson @republicofmath sorry.......I shouldn't have tweeted that to#mathchat ......right between classes
Mon Apr 04 20:33:38 +0000 2011 - tweet id - #308tweet details


@ColinTGraham @leomeloxp Thanks for dropping by again, Leo. Good luck with the 'ballet" ;-) #MathChat
Mon, 04 Apr 2011 20:34:12 +0000 - tweet id 55005267510833152 - #309tweet details


@MrHonner @ColinTGraham Geogebra is a great tool for that! Maybe not as good as @republicofmath's interactive white boards, though. #mathchat
Mon Apr 04 20:34:57 +0000 2011 - tweet id - #312 tweet details


@dansmath in the Arnold Ross program at ohio state we were encouraged to "Think deeply about simple things." (that meant number theory!) #mathchat
Mon, 04 Apr 2011 20:34:58 +0000 - tweet id 55005460146814977 - #313 tweet details


@ColinTGraham @earlsamuelson It's ok, we have the technology, we can erase you from the archive!.... <does evil laugh> #mathchat
Mon Apr 04 20:35:07 +0000 2011 - tweet id - #316tweet details


@bucharesttutor @republicofmath totally agreed #mathchat
Mon, 04 Apr 2011 20:35:26 +0000 - tweet id 55005578333929474 - #317tweet details


@DaveLanovaz @ColinTGraham Geogebra is a great way to link the two. #mathchat
Mon Apr 04 20:35:58 +0000 2011 - tweet id - #320 tweet details


@ColinTGraham @dansmath Yes, numbers vs. numerals... Numbers were not really properly defined in any sense until the 19th Century... #mathchat
Mon, 04 Apr 2011 20:36:26 +0000 - tweet id 55005828654186496 - #321 tweet details


@ColinTGraham Some key points so far: Connect to new topics by expansion, check level of understanding (somehow) and 'go with the flow'... #MathChat
Mon, 04 Apr 2011 20:37:53 +0000 - tweet id 55006196511416320 - #323 tweet details


@padgets #mathchat Well I am going home EARLY for once, LOL :) take care everybody and tweet you Thurs :)
Mon Apr 04 20:38:42 +0000 2011 - tweet id - #326tweet details


@ColinTGraham be clear about underlying concepts and how yours match up with your students', get students to communicate their concepts #MathChat
Mon, 04 Apr 2011 20:38:53 +0000 - tweet id 55006445393022977 - #327tweet details


@ColinTGraham @padgets Bye Sharon, stay safe! #mathchat
Mon Apr 04 20:39:08 +0000 2011 - tweet id - #330 tweet details


@republicofmath @ColinTGraham no one understands understanding, in my experience. Ask students what they remember: memory what, how why, e.g. #mathchat
Mon, 04 Apr 2011 20:40:27 +0000 - tweet id 55006842329378816 - #331 tweet details


@ColinTGraham How many of the next steps, whether towards a new topic or deeper into the same one, can/should you plan in advance? #MathChat
Mon Apr 04 20:41:02 +0000 2011 - tweet id - #334 tweet details


@suburbanlion @republicofmath I try to fit "play" where I think it's appropriate, but I teach college, so some serious time too #mathchat
Mon, 04 Apr 2011 20:41:10 +0000 - tweet id 55007020918640640 - #335tweet details


@republicofmath @ColinTGraham I would also say: love what you do, be passionate, have fun, play, and always dig deeper. #mathchat
Mon Apr 04 20:41:53 +0000 2011 - tweet id - #340 tweet details


@ColinTGraham @suburbanlion "Serious" because that is what is expected at college level or do you mean just being focused differently? #mathchat
Mon, 04 Apr 2011 20:42:18 +0000 - tweet id 55007305963544576 - #341 tweet details


@republicofmath @suburbanlion I'm thinking "serious play", "dead important play", "deep play" a la @jamestanton #mathchat
Mon Apr 04 20:43:01 +0000 2011 - tweet id - #344 tweet details


@ColinTGraham Another way to define play might be saying "Let's see what happens if..." and using that as a way of directing the next step. #MathChat
Mon, 04 Apr 2011 20:44:42 +0000 - tweet id 55007909876219904 - #345tweet details


@suburbanlion @ColinTGraham by "serious" I mean that need to establish the self discipline & study skills needed in college #mathchat
Mon Apr 04 20:45:45 +0000 2011 - tweet id - #348tweet details


@republicofmath @ColinTGraham Right! "What if ...?" Can "break rules" see what happens. What, eg, if lines are curved, not straight. Just play. #mathchat
Mon, 04 Apr 2011 20:46:30 +0000 - tweet id 55008364710731776 - #349tweet details


@suburbanlion @republicofmath I love @jamestanton's videos! I refer my Alg2 Ss to his synthetic division & log vids #mathchat
Mon Apr 04 20:46:49 +0000 2011 - tweet id - #352 tweet details


@republicofmath Oh no! @divbyzero Just looked at my computer clock: 4:44:44 on 4/4. #mathchat
Mon, 04 Apr 2011 20:47:24 +0000 - tweet id 55008590020354048 - #353 tweet details


@Janshs @suburbanlion at what age stage is self discipline in learning important?#mathchat (@ColinTGraham) not trying to provoke; serious Q
Mon, 04 Apr 2011 20:47:24 +0000 - tweet id 55008588871106560 - #354 tweet details


@USATeducation @republicofmath, @divbyzero 4:44:44 on 4/4--and that's bad, why? #mathchat
Mon, 04 Apr 2011 20:48:28 +0000 - tweet id 55008859231752192 - #357tweet details


@republicofmath @jamestanton Thanks for the vote of confidence.Yes, intellectual play is it! It's human & fun & rich & deep & surprising &.. #mathchat
Mon Apr 04 20:49:12 +0000 2011 - tweet id - #360 tweet details


@ColinTGraham @Janshs @suburbanlion I am strong believer in autonomy in learning from as early as possible... sticking fingers in candle flames! #mathchat
Mon, 04 Apr 2011 20:49:26 +0000 - tweet id 55009102849511424 - #361 tweet details


@suburbanlion @Janshs I can't answer for everyone, but felt I started taking charge of my own learning around age 12 #mathchat
Mon Apr 04 20:50:01 +0000 2011 - tweet id - #364 tweet details


@republicofmath @USATeducation Didn't say it was bad, not so I remember.#mathchat
Mon Apr 04 20:50:17 +0000 2011 - tweet id - #365tweet details


@Janshs @ColinTGraham is learning always the result of a perturbation? #mathchat(@suburbanlion ) (@jamestanton) (@republicofmath)
Mon Apr 04 20:50:50 +0000 2011 - tweet id - #366tweet details


@Janshs @suburbanlion not sure it happened to me till about 40 .... ;-/ #mathchat
Mon Apr 04 20:51:35 +0000 2011 - tweet id - #367tweet details


@republicofmath Not in Piagetian sense: see Annette Karmiloff-Smith @Janshs is learning always the result of a perturbation? #mathchat
Mon Apr 04 20:52:23 +0000 2011 - tweet id - #368tweet details


@ColinTGraham @Janshs Ah, but what do you mean by learning? Another day, another topic! (@suburbanlion @jamestanton @republicofmath) #mathchat
Mon Apr 04 20:53:38 +0000 2011 - tweet id - #369tweet details


@ColinTGraham OK, we're in the final stretch now... any comments or thoughts on today's topic in the last five minutes or so? #MathChat
Mon Apr 04 20:54:28 +0000 2011 - tweet id - #370 tweet details


@Janshs @ColinTGraham @suburbanlion @jamestanton @republicofmath #learning#mathchat :-) yep another day ...
Mon Apr 04 20:54:40 +0000 2011 - tweet id - #371 tweet details


@Janshs @republicofmath will check this out - thanks #mathchat #learning
Mon Apr 04 20:55:32 +0000 2011 - tweet id - #372 tweet details


@republicofmath @ColinTGraham New topic? How do I ... encourage & promote learning? (Yes I am laughing) #mathchat
Mon Apr 04 20:56:05 +0000 2011 - tweet id - #373 tweet details


@MrHonner @ColinTGraham I agree that play is an integral component in curriculum--when you move to a new topic, or extend an old one. #mathchat
Mon Apr 04 20:56:27 +0000 2011 - tweet id - #374 tweet details


@ColinTGraham @Janshs @republicofmath I tend more to Vygotsky than Piaget in terms of developmental psychology... #mathchat #learning
Mon Apr 04 20:56:41 +0000 2011 - tweet id - #375tweet details


@suburbanlion What gets me about "new topic vs expansion" is that maybe its a decision that should be left to the learner. #mathchat
Mon Apr 04 20:57:08 +0000 2011 - tweet id - #376tweet details


@ColinTGraham I'll smack you with a whiteboard...! RT @republicofmath: New topic? How do I ... encourage & promote learning? (Yes I am laughing) #mathchat
Mon Apr 04 20:57:15 +0000 2011 - tweet id - #377tweet details


@republicofmath @janshs She's at Birkbeck College http://bit.ly/9x5itD & very approachable #mathchat
Mon Apr 04 20:57:42 +0000 2011 - tweet id - #378tweet details


@republicofmath So they ARE useful for something! @ColinTGraham I'll smack you with a whiteboard...! #mathchat
Mon Apr 04 20:58:33 +0000 2011 - tweet id - #379tweet details


@MrHonner Thanks for a fun and stimulating #mathchat, all!
Mon Apr 04 20:59:25 +0000 2011 - tweet id - #380 tweet details


@republicofmath Well, of course. Vygotsky was right! :-P @ColinTGraham @Janshs I tend more to Vygotsky than Piaget #mathchat
Mon Apr 04 20:59:52 +0000 2011 - tweet id - #381 tweet details


@ColinTGraham @suburbanlion But who decides for a class full of learners? Or should teacher offer an option for farther exploration/expansion? #mathchat
Mon Apr 04 20:59:52 +0000 2011 - tweet id - #382 tweet details


@Janshs @republicofmath thanks :-) #mathchat
Mon Apr 04 21:00:20 +0000 2011 - tweet id - #383 tweet details


@republicofmath So ends another Mega-Monday #mathchat
Mon Apr 04 21:01:04 +0000 2011 - tweet id - #384 tweet details


@ColinTGraham OK, it's the witching hour for #MathChat Thank you all for another stimulating discussion.
Mon Apr 04 21:01:10 +0000 2011 - tweet id - #385tweet details


@Janshs @ColinTGraham and thanks to you #mathchat
Mon Apr 04 21:01:44 +0000 2011 - tweet id - #386tweet details


@Janshs @republicofmath is it only MOnday? #mathchat
Mon Apr 04 21:02:16 +0000 2011 - tweet id - #387tweet details


@ColinTGraham Archiving will take a little longer than usual because of changes to WhatTheHashtag... hmmph! @wtt #MathChat
Mon Apr 04 21:02:23 +0000 2011 - tweet id - #388tweet details


@ColinTGraham Don't forget to follow new tweeps, and @mathchat to keep updated.#MathChat
Mon Apr 04 21:03:20 +0000 2011 - tweet id - #389tweet details


@suburbanlion @ColinTGraham I'm lucky in that I have tech to make differentiation like that possible. Or you could go w/ classroom democracy ;-) #mathchat
Mon Apr 04 21:03:36 +0000 2011 - tweet id - #390 tweet details


@republicofmath Sadly, YES! @Janshs is it only MOnday? #mathchat
Mon Apr 04 21:04:10 +0000 2011 - tweet id - #391 tweet details


@zdmann RT @republicofmath: Sadly, YES! @Janshs is it only MOnday? #mathchat
Mon Apr 04 21:05:07 +0000 2011 - tweet id - #392 tweet details


@ColinTGraham @suburbanlion My classroom is a democracy of one! #mathchat
Mon Apr 04 21:05:19 +0000 2011 - tweet id - #393 tweet details