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! guided tour
001 Differentiation
002 'Real' maths
003 Fractions
004 Manipulatives
005 Assessment
006 What technology?
007 Adult curriculum
008 Reflective Learners
009 Engagement
010 Class Time Use
011 Why I hate maths
012 Terminology
013 'Mathphobia'
014 The Nature of Maths
015 Show and Tell
016 Vertical Integration
017 Product to Process
018 Investigation Length
019 Preparation for Work
020 Success in Mathematics
021 Groupwork
022 Effective lessons
023 Impact of ICT
024 Mathematics Websites
028 Why under 16?
2010.07.15 Differentiation
2010.07.19 Differentiation (2)
2010.07.22 'Real' maths
2010.07.26 'Real' maths (2)
2010.07.29 Fractions
2010.08.02 Fractions (2)
2010.08.05 Manipulatives
2010.08.09 Manipulatives (2)
2010.08.12 Assessment
2010.08.16 Assessment (2)
2010.08.19 What tech?
2010.08.23 What tech? (2)
2010.08.26 Adult maths
2010.08.30 Adult maths (2)
2010.09.02 Reflective learner
2010.09.06 Reflective learner 2
2010.09.09 Engagement
2010.09.13 Engagement 2
2010.09.16 Class Time Use
2010.09.20 Class Time Use 2
2010.09.23 Why I hate maths
2010.09.27 Why I hate math 2
2010.09.30 Terminology
2010.10.04 Terminology 2
2010.10.07 'Mathphobia'
2010.10.11 'Mathphobia' (2)
2010.10.14 Nature of Maths
2010.10.18 Nature of Maths (2)
2010.10.21 Show and Tell
2010.10.25 Show and Tell (2)
2010.10.28 Vertical Integration
2010.11.01 Vertical Integratn 2
2010.11.04 Product to Process
2010.11.08 Product to Proc. 2
2010.11.11 Investigation length
2010.11.15 Investigation leng 2
2010.11.18 Prepn for work
2010.11.22 Prepn for work 2
2010.11.25 Success in Maths
2010.12.03 Groupwork
2010.12.06 Groupwork 2
2010.12.10 Effective lessons
2010.12.13 Effective Lesson 2
2010.12.17 Impact of ICT
2010.12.20 Impact of ICT 2
2010.12.24 Maths Websites
2011.01.03 Maths Website 2
2011.01.07 Ideal curriculum
2011.01.10 Ideal curriculum 2
2011.01.14 Short or longterm
2011.01.17 Short or longterm2
2011.01.21 Continuing PD
2011.01.24 Continuing PD 2
2011.01.28 Why under 16?
2011.01.31 Why under 16? (2)
2011.02.04 Which is more fun?
2011.02.11 Blended learning
2011.02.14 Blended learning 2
2011.02.18 Fast tracking
2011.02.21 Fast tracking (2)
2011.02.25 Misconceptions
2011.02.28 Misconceptions 2
2011.03.04 Good Reads
2011.03.07 Good Reads (2)
2011.03.11 How do I  fractions
2011.03.18 How do I  lang
2011.03.21 How do I  lang (2)
2011.03.25 How do I  curric
2011.03.28 How do I  curric 2
2011.04.01 How?  next topic
2011.04.04 How?  nxt topic 2
2011.04.08 How?  Geometry
2011.04.11 How?  Geom 2
2011.04.15 How?Investigation
2011.04.18 How?Investigatn 2
2011.04.22 How? Do vs. learn
2011.04.25 How?Do vs learn 2
2011.04.29 How?Dig deeper
2011.05.02 How?Dig deeper 2
2011.05.06 'Big Ideas'
2011.05.09 'Big Ideas' (2)
2011.05.13 High school skill
2011.05.16 High school skill 2
2011.05.20 Journals
2011.05.23 Journals (2)
2011.05.27 Studentdriven
2011.05.30 Studentdriven (2)
2011.06.03 How?  Maths play
2011.06.06 How?Maths play 2
2011.06.10 Deeper thinking
2011.06.13 Deeper thinking (2)
2011.06.17 How?  Disjointed
2011.06.17 How?  Disjointed 2
2011.06.24 How?  Problems
2011.06.27 How?  Problems 2
2011.07.01 Holiday maths
2011.10.28 Extent of plans
2011.10.31 Extent of plans (2)
2011.11.04 Authentic is..?
2011.11.07 Authentic is..? (2)
Z_1 Thursday raw
Z_2 Monday raw
Z_consolidated
2011.01.21 Continuing PD
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Topic:
What type of CPD do mathematics teachers need for the coming decade?
As it happened on
Friday, 21st January 2011 00:00  01:00 GMT
12:10 am
davidwees
:
All are welcome. Topic is: "What type of CPD do mathematics teachers need for the coming decade?" Anyone ready to start? #
mathchat
12:11 am
davidwees
:
Am I too early this week for #
mathchat
our are we ready to start?
12:12 am
MariaDroujkova
:
Let's start #
mathchat
I guess! And to start, I want to say there will be a P2PU course for Twitter for Math
12:13 am
MariaDroujkova
:
The new course
http://p2pu.org/math
future/cpdthroughtwittermathsteachers  check it out! #
mathchat
12:13 am
davidwees
:
@
MariaDroujkova
What exactly does CPD stand for? PD = professional development in my head, but what's the C for? #
mathchat
12:14 am
ColinTGraham
:
Hi everyone, glad to see you've started! Very icy roads meant I got a bit delayed today! #
mathchat
12:15 am
ColinTGraham
:
@
davidwees
The C, in CPD, usually means continuing... i.e. beyond teacher training etc. #
mathchat
12:15 am
MariaDroujkova
:
@
davidwees
I think C is for "community" but I made it up. We need to ask Colin! #
mathchat
David, that video project is so much fun.
12:16 am
ColinTGraham
:
The continuing idea also expresses the fact that PD should be something that doesn't stop because you've mastered "X" #
mathchat
12:17 am
davidwees
:
@
ColinTGraham
Okay that makes sense. I like @
MariaDroujkova
's "Community" as well. :) #
mathchat
12:18 am
tperran
:
@
ColinTGraham
How about "collaborative" PD?#
mathchat
12:19 am
ColinTGraham
:
@
tperran
Well collaborative would work, but in the UK CPD is continuing... ;) #
mathchat
12:20 am
ColinTGraham
:
Now we've entered a new decade, and reflecting on the past ten years or so, what challenges are maths teachers going to face? #
mathchat
12:22 am
davidwees
:
I@
ColinTGraham
I think our curriculum has got to change. There should be 2 streams. 99% of people take "math for the real world" #
mathchat
12:23 am
davidwees
:
@
ColinTGraham
About 1% should take a course specifically for those who are very interested in mathematics. #
mathchat
12:24 am
ColinTGraham
:
@
davidwees
Should teachers be looking for ways to adapt the curriculum within the current system or should they wait for change? #
mathchat
12:24 am
davidwees
:
@
ColinTGraham
With those two thoughts in mind, I'd recommend CPD to support those changes in curriculum. #
mathchat
12:24 am
MariaDroujkova
:
A big challenge: deconstruction of lockstep curricula and structures around it, especially desegregating kids from the adult world #
mathchat
12:25 am
davidwees
:
@
ColinTGraham
Adaptation from within is probably required since I don't see any forces from the top wanting to change math ed. #
mathchat
12:26 am
ColinTGraham
:
@
MariaDroujkova
I think more needs to be done in terms of relating any curriculum to cognitive development & how maths is learned #
mathchat
12:26 am
MariaDroujkova
:
@
davidwees
There are forces such as parents who are changing math ed, also developers, and CS people #
mathchat
12:26 am
davidwees
:
@
MariaDroujkova
Yes, definitely. Mathematics is hardly ever a linear process IMHO, and yet our curriculum makes it seem so. #
mathchat
12:27 am
Saskateach
:
@
ColinTGraham
Math teachers like all teachers will be challenged with infusing tech and helping students find relevance. #
mathchat
12:27 am
ColinTGraham
:
@
davidwees
How do/will sites like Wolfram Alpha impact on content and building understanding? #
mathchat
12:27 am
davidwees
:
@
MariaDroujkova
On the fringes for sure. Not as many as I'd like. #
mathchat
12:27 am
MariaDroujkova
:
@
davidwees
http://prezi.com/aww2hjfyil0u/math
isnotlinear/ #
mathchat
12:28 am
tperran
:
@
davidwees
I think specialty courses for the "onepercenters" might be offered online to provide access w/o great expense #
mathchat
12:28 am
ColinTGraham
:
@
Saskateach
Should the relevance not be apparent from the outset? #
mathchat
12:29 am
MariaDroujkova
:
@
davidwees
We've had 70 events with community/project leaders since starting in 2009
http://mathfuture.wikispaces.com/events
#
mathchat
12:29 am
davidwees
:
Wish my connection to Twitter wasn't so slow... #
mathchat
12:30 am
davidwees
:
@
ColinTGraham
Wolfram Alpha becomes a tool just like a calculator or graphing software & curriculum adapts. #
mathchat
12:30 am
MariaDroujkova
:
@
davidwees
"Fringes" assumes a "center" but scales and dominance are less important than ever now, and more so every year #
mathchat
12:30 am
Saskateach
:
@
ColinTGraham
relevance should always be present but can be difficult for adults who don't see it themselves :( #
mathchat
12:31 am
ColinTGraham
:
I don't feel Mathematics should be taught to the average student under 14. Number skills and data handling, yes, but maths...? #
mathchat
12:31 am
davidwees
:
@
tperran
And students who were really interested in math would eat up those courses too! #
mathchat
12:31 am
MariaDroujkova
:
@
tperran
If people allowed themselves (and students) to focus on fun with math, 1% would grow #
mathchat
12:32 am
Saskateach
:
@
tperran
1% ? Are you referring to the top or the bottom? #
mathchat
12:32 am
ColinTGraham
:
@
Saskateach
If adults are not seeing relevance, then it may suggest that the content is not really relevant... back to David's 99% #
mathchat
12:32 am
TheHelpGroup
:
Catching some #
mathchat
! Yes, I am excited.
12:32 am
MariaDroujkova
:
@
Saskateach
Maybe people should just say "no" to nonrelevant and nonauthentic experiences #
mathchat
12:33 am
tperran
:
@
davidwees
I think students would find it really cool to study math with a professor from a top university if cost wasn't too high #
mathchat
12:33 am
davidwees
:
@
ColinTGraham
I don't think algebra should be taught to the entire population, but there is lots of other interesting mathematics. #
mathchat
12:33 am
ColinTGraham
:
@
TheHelpGroup
Hi, glad you made it this time! #
mathchat
12:34 am
TheHelpGroup
:
@
ColinTGraham
Very glad to be here. Looking forward to hearing from other educators. #
mathchat
12:34 am
Saskateach
:
@
MariaDroujkova
Sometimes relevance is there but teachers don't see it because they don't see themselves as math literate. #
mathchat
12:34 am
ColinTGraham
:
@
tperran
I've made the comment in a previous #
mathchat
that I thought the best mathematicians should be teaching early years...
12:34 am
davidwees
:
@
Saskateach
The 1% would be the people who are really interested in math and want to go further, not entirely skill based. #
mathchat
12:34 am
tperran
:
@
Saskateach
@
davidwees
Referred to the 1% who liked math for math's sake and not just for realworld applications #
mathchat
12:35 am
MariaDroujkova
:
I am concerned when people don't understand algebra and yet govern others, have kids, etc. #
mathchat
12:35 am
davidwees
:
@
tperran
@
Saskateach
And it might not be 1%, that's just a number I pulled out of my hat. #
mathchat
12:35 am
Saskateach
:
@
davidwees
If only we could get our institutes of higher learning to agree with you. Calculus, algebra still hold the keys. #
mathchat
12:36 am
davidwees
:
@
MariaDroujkova
It's not algebra I want them to understand, it's logical reasoning and making inferences from given information. #
mathchat
12:36 am
MariaDroujkova
:
@
ColinTGraham
There are a few mathematicians who work in early ed, e.g. Kaplans and their math circle  I wish there were more #
mathchat
12:37 am
TheHelpGroup
:
@
ColinTGraham
There is a great @
tedtalks
where a scientist (I think) says exactly that. I'll try to find it. #
mathchat
12:37 am
ColinTGraham
:
How does the availability of worked solutions/other mathematical information online affect the tasks Ss are asked to do in class? #
mathchat
12:37 am
davidwees
:
@
MariaDroujkova
@
ColinTGraham
Agree with you. Maybe we could do CPD to encourage HS teachers to collaborate with K3 teachers? #
mathchat
12:37 am
Saskateach
:
@
davidwees
lol. What I worry about is the possibility of saving the really juicy math opportunities for those considered worthy. #
mathchat
12:37 am
MariaDroujkova
:
@
Saskateach
Well, in this case (math illiterate) they got to go into "peer learning" mode with students #
mathchat
12:38 am
davidwees
:
@
Saskateach
Vi Hart (seen her videos?) would argue that right now we feed everyone the scraps. Algebra != interesting in my books. #
mathchat
12:39 am
Saskateach
:
YES!RT @
MariaDroujkova
: @
Saskateach
Well, in this case (math illiterate) they got to go into "peer learning" mode with students #
mathchat
12:39 am
MariaDroujkova
:
@
davidwees
This is a nice idea! Interlevel collaboration. Also with researchers, professionals... "Adopt a quant" for elem class? #
mathchat
12:39 am
davidwees
:
@
Saskateach
There is lots of awesome, very interesting, and yet accessible math which goes untaught in k12. #
mathchat
12:39 am
tperran
:
@
Saskateach
Maybe if we get real "mathematicians" to work with students in the younger years thay can "light the fire" in them too #
mathchat
12:39 am
ColinTGraham
:
Let's get personal! What do you see yourself working on as part of your CPD in the next few years? #
mathchat
12:40 am
MariaDroujkova
:
@
davidwees
Little ones (47 yo math clubs) LOVE algebraic ideas. And some early calculus ideas. There is fun there. #
mathchat
12:40 am
Saskateach
:
Agreed RT @
davidwees
: @
Saskateach
There is lots of awesome, very interesting, and yet accessible math which goes untaught in k12. #
mathchat
12:41 am
ColinTGraham
:
@
davidwees
It's also interesting that 'trained' mathematicians often resort to algebra, where children see another valid approach #
mathchat
12:41 am
MariaDroujkova
:
Mathematical visual literacy is hugely important. Also modeling and programming. #
mathchat
12:42 am
ColinTGraham
:
@
MariaDroujkova
I would agree. I'd like to see more integration of maths teaching with programming, where each needs the other #
mathchat
12:42 am
davidwees
:
@
MariaDroujkova
Yes, agree about visual literacy, modeling and programming. #
mathchat
12:43 am
MariaDroujkova
:
For my CPD, I am working on flow. Focusing on gamification right now #
mathchat
12:43 am
davidwees
:
@
ColinTGraham
Yeah, I had this exact problem just a few days which inspired my "Triangles are your friends" post. #
mathchat
12:43 am
Saskateach
:
@
tperran
Teachers need 2 know not only math content but also how students learn & quality instructional strategies #
mathchat
12:44 am
MariaDroujkova
:
We had some nice Flow discussions in the last few months
http://naturalmath.wikispaces.com/Flow
+Channels
#
mathchat
12:44 am
ColinTGraham
:
@
Saskateach
Where do those instructional strategies come from, Jennifer? Is that an area where CPD is needed? #
mathchat
12:45 am
davidwees
:
Okay, gotta go home, thanks for #
mathchat
Lots of great ideas as usual.
12:45 am
ColinTGraham
:
@
davidwees
Glad you could join us David. #
mathchat
12:48 am
TheHelpGroup
:
@
davidwees
Can you send a link to that post? I'd love to read it. #
mathchat
12:48 am
ColinTGraham
:
One area I am thinking about is ways of filtering/evaluating the huge amounts of information/applications etc. online. #
mathchat
12:49 am
Saskateach
:
@
ColinTGraham
What does CPD stand for?? #
mathchat
12:50 am
ColinTGraham
:
@
Saskateach
Is (action) research something that teachers should be doing in their own classrooms too or should CPD be different? #
mathchat
12:50 am
dweksler
:
I think filtering/finding what you are looking for is critical #
mathchat
12:50 am
ColinTGraham
:
Just to clarify for everyone, CPD is Continuing Professional Development! ;) #
mathchat
12:51 am
TheHelpGroup
:
RT @
ColinTGraham
: Just to clarify for everyone, CPD is Continuing Professional Development! ;) #
mathchat
12:51 am
MariaDroujkova
:
@
TheHelpGroup
@
davidwees
post
http://davidwees.com/content/triangles
areyourfriends
#
mathchat
12:51 am
tperran
:
@
Saskateach
Too often, instructional strategies take a back seat to content knowledge #
mathchat
12:52 am
ColinTGraham
:
@
dweksler
Do teachers need more help/training with doing this, David? Will the situation worsen as more and more goes online? #
mathchat
12:52 am
dweksler
:
At a recent conference, I started thinking whether CPD is really served by "traditional" conference presentations. My guess is no #
mathchat
12:52 am
MariaDroujkova
:
@
ColinTGraham
Filtering interactions is hugely important now, though even "just information" Big Sorting is far from over #
mathchat
12:53 am
ColinTGraham
:
@
tperran
I think, as well, that too often teaching is concerned with classroom management and not even the content gets a lookin! #
mathchat
12:54 am
MariaDroujkova
:
@
dweksler
There are studies showing about zero effectiveness of CPD through onetime classes or conferences #
mathchat
12:54 am
ColinTGraham
:
@
dweksler
More and more teachers in the UK are turning towards TeachMeets and doing their own CPD... I've presented at few, too! #
mathchat
12:54 am
dweksler
:
@
ColinTGraham
Yes, I do think they need more help especially to sustain the PD over time #
mathchat
12:55 am
Saskateach
:
@
tperran
We cant assume that all students can and should learn the way we teach. #
mathchat
12:55 am
MariaDroujkova
:
Imagine "Wikipedia of online interactions for math ed" :) #
mathchat
12:56 am
ColinTGraham
:
Trainee teachers are probably in the best situation with regard to technology etc. but what aspects of methodology need to change? #
mathchat
12:57 am
ColinTGraham
:
@
dweksler
That's part of my aim with the Twitter course, that participants have a focus/reason for sustaining the PD... pep squad! #
mathchat
12:59 am
dweksler
:
@
ColinTGraham
Understand the goal. We need to share communites like this one, MathFuture, etc. with more folks #
mathchat
1:00 am
tperran
:
@
Saskateach
@
ColinTGraham
Right, we need to look at it from the students perspective. That is why I am trying to implement UDL #
mathchat
1:02 am
MariaDroujkova
:
@
tperran
Tom, what is UDL? #
mathchat
1:02 am
ColinTGraham
:
Yes, to me it means Ulster Defence League! RT @
MariaDroujkova
: @
tperran
Tom, what is UDL? #
mathchat
1:03 am
ColinTGraham
:
Any final thoughts on CPD in the last five minutes? #
mathchat
1:05 am
dweksler
:
DANGER! using acronyms internationlly :) #
mathchat
1:07 am
ColinTGraham
:
@
dweksler
It's like computing... once you know the TLAs, you've got it cracked! [ThreeLetter Acronyms] #
mathchat
1:07 am
dweksler
:
Universal Design for Learning (UDL)
http://bit.ly/hWkYSZ
#
mathchat
1:09 am
ColinTGraham
:
OK, everyone, thanks for your contributions. The archive will be up in 20 mins or so. Please add more ideas
http://bit.ly/aOhxOU
#
mathchat
1:11 am
MariaDroujkova
:
@
ColinTGraham
Thanks for leading #
mathchat
 always a treat!
1:11 am
ColinTGraham
:
@
MariaDroujkova
Thanks for dropping by, Maria! #
mathchat
1:13 am
dweksler
:
@
ColinTGraham
I'll be thinking about the Ulster Defence League from now on when I'm discussing UDL with teachers. #
mathchat
1:14 am
tperran
:
@
MariaDroujkova
@
ColinTGraham
Universal Design for Learning to promote access to curriculum for students w/dis.
http://bit.ly/ihV7
#
mathchat
1:16 am
ColinTGraham
:
@
dweksler
:) #
mathchat
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As it happened on Friday, 21st January 2011 00:00  01:00 GMT