Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males,...

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Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University

Transcript of Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males,...

Page 1: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group

Lorraine Males, Michigan State University

Page 2: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Presentation Agenda

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• Background/Literature• Theoretical Framework• Method• Results• Discussion

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BACKGROUND

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Why study professional development?

4Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group

Teacher

PD

improved practice and

student learning

?

Page 5: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Why study professional development?

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decontexualized • contrived • unsatisfying • fragmented • superficial •

disconnected • non-cumulative

(Ball & Cohen, 1999; Lord, 1994; Wilson & Berne, 1999;

Little, 1994)

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What do we know about PD?

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learning is a collaborative activity and “educators learn more powerfully in concert with others who are struggling with the same problems” (Elmore, 2002, p. 8).

a common thread in highly regardedprojects was the “privileging of teachers’ interaction with one another” (Wilson & Berne, 1999, p. 195).

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What does collegiality look like?

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According to Little (1990) two things that describe schools in which the teachers work collaboratively• Teachers are not working in isolation - they talk

to each other about teaching on practical and theoretical levels

• Teachers learn from each other “abandoning a perspective that teaching is ‘just a matter of styles’ in favor of a perspective that favors scrutiny of practices and their consequences” (p. 451).

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Collegiality in Professional Development

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This work includes the growing body of research on:

mathematics teacher study groups (e.g., Arbaugh, 2003; Crespo, 2006; Herbel-

Eisenmann, Drake & Cirillo, 2009; Slavit & Nelson, 2009)

action research (e.g., Jaworski, 1998, 2006; Atweh, 2004; Zack &

Graves, 2001).

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Unanswered Questions about Professional Development

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We still do not know how teachers learn from professional

development or how collegiality may help

or hinder learning

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One possible hypothesis

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According to Wilson and Berne(1999), the most successful professional development projects were “aiming for the development of something akin to

Lord’s (1994) ‘critical colleagueship’” (p. 195)

They hypothesize that this type of critical collegiality may help to explain how teachers learn in professional development contexts.

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Theoretical Framework

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“For a broader transformation, collegiality will need to support a critical stance toward teaching. This means more than simply sharing ideas or supporting one’s colleagues in the change process. It means confronting traditional practice – the teacher’s own and that of his or her colleagues – with an eye toward wholesale revision” (Lord, 1994, p. 192).

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Critical Colleagueship

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Creating and sustaining productive disequilibrium through self reflection, collegial dialogue, and on-going critique.

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Critical Colleagueship

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Creating and sustaining productive disequilibrium through self reflection, collegial dialogue, and on-going critique.

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Critical Colleagueship

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Embracing fundamental intellectual virtues. Among these are openness to new ideas, willingness to reject weak practices or flimsy reasoning when faced with countervailing evidence and sound arguments, accepting responsibility for acquiring and using relevant information in the construction of technical arguments, willingness to seek out the best ideas or the best knowledge from within the subject-matter communities, greater reliance on organized and deliberate investigations rather than learning by accident, and assuming collective responsibility for creating a professional record of teachers' research and experimentation.

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Critical Colleagueship

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Embracing fundamental intellectual virtues. Among these are openness to new ideas, willingness to reject weak practices or flimsy reasoning when faced with countervailing evidence and sound arguments, accepting responsibility for acquiring and using relevant information in the construction of technical arguments, willingness to seek out the best ideas or the best knowledge from within the subject-matter communities, greater reliance on organized and deliberate investigations rather than learning by accident, and assuming collective responsibility for creating a professional record of teachers' research and experimentation.

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Critical Colleagueship

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Increasing the capacity for empathetic understanding (placing oneself in a colleague's shoes). That is, understanding a colleague's dilemma in the terms he or she understands it.

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Critical Colleagueship

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Increasing the capacity for empathetic understanding (placing oneself in a colleague's shoes). That is, understanding a colleague's dilemma in the terms he or she understands it.

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Research Questions

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How can the aspects of critical colleagueship exhibited by mathematics teachers participating in a teacher study group be identified?

How are the first three aspects of critical colleagueship exhibited by mathematics teachers participating in a teacher study group?

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METHOD

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Context

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Baseline Data Collection

Aug. 2005 – May 2006 Aug. 2006 – May 2007

Reading Group

Aug. 2007 – May 2008 Aug. 2008

Mapping & Reflecting on Personal Beliefs

Identifying & Reflecting on Performance Gaps

Pilot Study Cycles of Action Research A.R. cont…

Report onActivity Structures

& Turn Length AnalyticMemos

Phase II Phase III Phase IV Phase V

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Participants

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TR Gr School Setting Certification Yrs Teach Curriculum

Cara 6 Rural, MS Elem 21 NSF reform

Robert 6 Urban, MS Elem 7 Trad

Stacey 7 Rural, MS Elem/MAT 17 NSF reform

Gwen 8 Urban, Title I, MS Sec 18 Trad

Kate 8 Suburban, MS Sec/MS 14 NSF reform

Holly 8 Urban, Gifted, HS Sec 9 Trad

Mike 8 Urban, MS Sec/MSM 14 Trad

Owen 10 Suburban, HS Sec/MAT 2 Trad

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Data Collection & Analysis

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Pre-existing data includedtranscripts and videos from project meetings (41 meetings approximately 1.5 - 3 hours each)

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Data Collection & Analysis

Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group

Reading GroupBeginning EndMiddle

Action ResearchBeginning EndMiddle

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Data Collection & Analysis

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All transcripts were coded in Transana for interaction patterns – praising, advising, challenging and relating (Males, 2009).

Challenging and Relating interactions within each phase were further coded for the following:

a) Initiator/receiver of the interactionb) the primary content of the interactionc) the linguistic nature of the interaction (using

Wordsmith Tools) d) the aspects of critical colleagueship exhibited

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Data Collection & Analysis

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All transcripts were coded in Transana for interaction patterns – praising, advising, challenging and relating (Males, 2009).

Challenging and Relating interactions within each phase were further coded for the following:

a) Initiator/receiver of the interactionb) the primary content of the interactionc) the linguistic nature of the interaction (using

Wordsmith Tools) d) the aspects of critical colleagueship exhibited

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Data Collection & Analysis

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I created the following types of representations for my data:a) a pictorial representationb) a matrix representation

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RESULTS

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Challenging Colleague Excerpt

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Gwen: In class, did you show them using Pythagorean theorem to solve the problem?

Owen: Yes. That's the way we did them.

Gwen: So you couldn't say, that a kid said, oh this is how you did it, so that's how I'm supposed to do it. So how is that different than, I know the distance formula, so that's how I’m going to do it?

Owen: Because the distance formula is an exterior entity which they have no actual understanding of. All they have is their memorization of what

the distance formula is as opposed to having them draw a triangle, which connects a problem they are presented with back to something else they are already familiar with.

Gwen: I understand that, but you taught it that way.

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Challenging Colleague Excerpt

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Gwen: In class, did you show them using Pythagorean theorem to solve the problem?

Owen: Yes. That's the way we did them.

Gwen: So you couldn't say, that a kid said, oh this is how you did it, so that's how I'm supposed to do it. So how is that different than, I know the distance formula, so that's how I’m going to do it?

Owen: Because the distance formula is an exterior entity which they have no actual understanding of. All they have is their memorization of what

the distance formula is as opposed to having them draw a triangle, which connects a problem they are presented with back to something else they are already familiar with.

Gwen: I understand that, but you taught it that way.

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Challenging Colleague Excerpt

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Gwen: In class, did you show them using Pythagorean theorem to solve the problem?

Owen: Yes. That's the way we did them.

Gwen: So you couldn't say, that a kid said, oh this is how you did it, so that's how I'm supposed to do it. So how is that different than, I know the distance formula, so that's how I’m going to do it?

Owen: Because the distance formula is an exterior entity which they have no actual understanding of. All they have is their memorization of what

the distance formula is as opposed to having them draw a triangle, which connects a problem they are presented with back to something else they are already familiar with.

Gwen: I understand that, but you taught it that way.

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Challenging Colleague Excerpt

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Gwen: In class, did you show them using Pythagorean theorem to solve the problem?

Owen: Yes. That's the way we did them.

Gwen: So you couldn't say, that a kid said, oh this is how you did it, so that's how I'm supposed to do it. So how is that different than, I know the distance formula, so that's how I’m going to do it?

Owen: Because the distance formula is an exterior entity which they have no actual understanding of. All they have is their memorization of what

the distance formula is as opposed to having them draw a triangle, which connects a problem they are presented with back to something else they are already familiar with.

Gwen: I understand that, but you taught it that way.

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Challenging Colleague Excerpt

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Gwen: In class, did you show them using Pythagorean theorem to solve the problem?

Owen: Yes. That's the way we did them.

Gwen: So you couldn't say, that a kid said, oh this is how you did it, so that's how I'm supposed to do it. So how is that different than, I know the distance formula, so that's how I’m going to do it?

Owen: Because the distance formula is an exterior entity which they have no actual understanding of. All they have is their memorization of what

the distance formula is as opposed to having them draw a triangle, which connects a problem they are presented with back to something else they are already familiar with.

Gwen: I understand that, but you taught it that way.

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Challenging Colleague Excerpt

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Gwen: In class, did you show them using Pythagorean theorem to solve the problem?

Owen: Yes. That's the way we did them.

Gwen: So you couldn't say, that a kid said, oh this is how you did it, so that's how I'm supposed to do it. So how is that different than, I know the distance formula, so that's how I’m going to do it?

Owen: Because the distance formula is an exterior entity which they have no actual understanding of. All they have is their memorization of what

the distance formula is as opposed to having them draw a triangle, which connects a problem they are presented with back to something else they are already familiar with.

Gwen: I understand that, but you taught it that way.

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Challenging Interaction – The nature

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stretched over multiple turns

questions were mostly “what” or “how” questions

push receivers to think more deeply or think about things in different ways

use of classroom experience for reasoning

ifcould

but

or

wonder

would

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Challenging Interaction within the Different Phases

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More challenges in the reading group phase than the action research phase

Phase # of Challenges (per hour)

Most Frequent Initiators

(per hour)

Most Frequent Receivers(per hour)

Reading Group

24 Kate (6.2) Owen(4.8)Helen (3.5)

art/idea (9.5)Owen (3.1)Kate (2.9)

Action Research

19 Helen (5.6) Owen(3.1)Claire (2.9)

Owen (3.1)

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Challenging Interaction within the Different Phases

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Reading Group• authors ’ writing styles• general instructional strategies (e.g., problems to pose,

proof-styles to incorporate)• abstract notions rather than particular practices of

individuals

Action Research• mostly directed towards teacher-researchers presenting• approach to the action research project (e.g., research

questions, ways of collecting data)

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Challenging Interaction – Critical Colleagueship

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Rejecting weak practices• recognizing alternative explanations for

phenomena• often initiated because of the receivers making

claims based on lack of evidence

Openness to new ideas• as a result of challenges often teachers would

express their openness to an alternative suggested by others

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Relating Colleague Excerpt #1

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UR: I'm wondering on page seventy-four, where they talk about functions or purposes for revoicing…. And I'm wondering, like if you think aboutwhat you do in your classroom do you feel like you do those about the same or do you feel like you do one more than the other? Or do you feel like you do one and not the other?

Kate: I don't think I create the alignments. I think probably what would happen is someone would make a conjecture and other people would react to it rather than having several at the same time. I don't see that happen very much. I see pursuing one of them or I ask for multiple explanations, but I'm not sure we investigate why one might be better than another assuming they are all correct, very often. I wonder how much I do that's truly revoicing as opposed to repeating.

Gwen: I would agree with that. I would say I probably do more just repeating.

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Relating Colleague Excerpt #1

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UR: I'm wondering on page seventy-four, where they talk about functions or purposes for revoicing…. And I'm wondering, like if you think aboutwhat you do in your classroom do you feel like you do those about the same or do you feel like you do one more than the other? Or do you feel like you do one and not the other?

Kate: I don't think I create the alignments. I think probably what would happen is someone would make a conjecture and other people would react to it rather than having several at the same time. I don't see that happen very much. I see pursuing one of them or I ask for multiple explanations, but I'm not sure we investigate why one might be better than another assuming they are all correct, very often. I wonder how much I do that's truly revoicing as opposed to repeating.

Gwen: I would agree with that. I would say I probably do more just repeating.

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Relating Colleague Excerpt #1

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UR: I'm wondering on page seventy-four, where they talk about functions or purposes for revoicing…. And I'm wondering, like if you think aboutwhat you do in your classroom do you feel like you do those about the same or do you feel like you do one more than the other? Or do you feel like you do one and not the other?

Kate: I don't think I create the alignments. I think probably what would happen is someone would make a conjecture and other people would react to it rather than having several at the same time. I don't see that happen very much. I see pursuing one of them or I ask for multiple explanations, but I'm not sure we investigate why one might be better than another assuming they are all correct, very often. I wonder how much I do that's truly revoicing as opposed to repeating.

Gwen: I would agree with that. I would say I probably do more just repeating.

Page 41: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Relating Colleague Excerpt #1

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UR: I'm wondering on page seventy-four, where they talk about functions or purposes for revoicing…. And I'm wondering, like if you think aboutwhat you do in your classroom do you feel like you do those about the same or do you feel like you do one more than the other? Or do you feel like you do one and not the other?

Kate: I don't think I create the alignments. I think probably what would happen is someone would make a conjecture and other people would react to it rather than having several at the same time. I don't see that happen very much. I see pursuing one of them or I ask for multiple explanations, but I'm not sure we investigate why one might be better than another assuming they are all correct, very often. I wonder how much I do that's truly revoicing as opposed to repeating.

Gwen: I would agree with that. I would say I probably do more just repeating.

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Relating Colleague Excerpt #2

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The following takes place way after Mike shares the difficulty he is having with the heightened awareness of his discourse practices

Kate: It's a lot of responsibility just being aware. Heaven only knows we don't want any of that [responsibility]. And what I think Mike, not only is it harder that it's also that I'm less satisfied with what I've done.

Stacey: Cause you just think that after teaching for so long there's some day you're going to get to a point where you really feel like you're doing it the way you want to be doing it. And I've come a long, long way but it's exciting that there's still so much more to know and to try to do. But it's just never feeling like it's good enough.

Cara: And it's exhausting.

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Relating Colleague Example #2

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The following takes place way after Mike shares the difficulty he is having with the heightened awareness of his discourse practices

Kate: It's a lot of responsibility just being aware. Heaven only knows we don't want any of that [responsibility]. And what I think Mike, not only is it harder that it's also that I'm less satisfied with what I've done.

Stacey: Cause you just think that after teaching for so long there's some day you're going to get to a point where you really feel like you're doing it the way you want to be doing it. And I've come a long, long way but it's exciting that there's still so much

more to know and to try to do. But it's just never feeling like it's good enough.

Cara: And it's exhausting.

Page 44: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Relating Colleague Excerpt #2

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The following takes place way after Mike shares the difficulty he is having with the heightened awareness of his discourse practices

Kate: It's a lot of responsibility just being aware. Heaven only knows we don't want any of that [responsibility]. And what I think Mike, not only is it harder that it's also that I'm less satisfied with what I've done.

Stacey: Cause you just think that after teaching for so long there's some day you're going to get to a point where you really feel like you're doing it the way you want to be doing it. And I've come a long, long way but it's exciting that there's still so much more to know and to try to do. But it's just never feeling like it's good enough.

Cara: And it's exhausting.

Page 45: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Relating Colleague Excerpt #2

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The following takes place way after Mike shares the difficulty he is having with the heightened awareness of his discourse practices

Kate: It's a lot of responsibility just being aware. Heaven only knows we don't want any of that [responsibility]. And what I think Mike, not only is it harder that it's also that I'm less satisfied with what I've done.

Stacey: Cause you just think that after teaching for so long there's some day you're going to get to a point where you really feel like you're doing it the way you want to be doing it. And I've come a long, long way but it's exciting that there's still so much more to know and to try to do. But it's just never feeling like it's good enough.

Cara: And it's exhausting.

Page 46: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Relating Interaction – The nature

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Two types of relating:• to acknowledge agreement• As part of an emotional response

triggered by the receiver

varied from quick responses to more elaborate stories

use of classroom experiences

identify with

resonate with

relate to

As Kate mentioned

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Relating Interaction within the Different Phases

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More relating in the action research phase than in the reading group phase

Phase # of Relating

(per hour)

Most Frequent Initiators

(per hour)

Most Frequent Receivers(per hour)

Reading Group

6 Stacey (1.8)Cara (1.7)Kate (1.4)

art/idea 1.6Mike (1.6)

Action Research

8 Mike (2)Stacey (1.3)Kate (1.3)

Kate (2.9)Mike (1.6)Cara (1.1)

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Relating Interaction – Content

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Reading Group• often prompted by the university-researcher• general feelings about carrying out daily practices with new

awareness of their classroom discourse • student behaviors and attitudes• contained some direct connections to particular classroom

practices

Action Research• often facilitated by the university-researcher (e.g., “Well, you use

did something like this in your class, Holly or Gwen, right…”)• General feelings about the overwhelming nature of collecting

the “perfect” data

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Relating Interaction – Critical Colleagueship

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Empathetic understanding• particularly when the relating was prompted by

an emotional response

Self-reflection• To express agreement or understanding teacher-

researchers often referred back to their own experience and reflected on these experiences

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DISCUSSION

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Identifying the Aspects of Critical Colleagueship

51Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group

It was possible to identify some of the aspects of critical colleagueship in the discourse – particularly it was useful to identify these aspects within particular interaction patterns and by focusing on the linguistic nature of the talk (i.e., use of particular words)

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Challenging and Relating – How might the different phases promote these interactions?

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Teachers challenged more than they related (in 5 out of 6 mtgs)

Challenging,

RG - July

Relating, RG - July

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To challenge or to relate to who and why?

53Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group

Frequently Challenged

Frequently Related to

Owen Kate

MikeKate

This study leaves me with questions related to why particular teachers where challenged or related to and how this may affect their taking up of the aspects of critical colleagueship

least experienced, confident, unhedged language, more “challengeable”

very experienced, confident, well-respected seemed to be further along in

her development – TRs wanted to align with her

Page 54: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Limitations

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Studying critical colleagueship by identifying interaction patterns may limit the aspects I could identify

I was the sole-coder of the data for the relating interaction

Limited generalizability of critical colleagueship to PD since I studied an atypical group and only a limited number of the aspects

Page 55: Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group Lorraine Males, Michigan State University.

Acknowledgements

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all the participants in this project

Everyone here today!

Faculty at Michigan State University: Beth Herbel-Eisenmann, Jack Smith, & Sandra Crespo

Students at Michigan State University: Kozse Lee, Aaron Brackionecki, Aaron Mosier, & Sam Otten

National Science Foundation

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Thank You

56Confronting Practice: Critical Colleagueship in a Mathematics Teacher Study Group

Questions?

Lorraine MalesMichigan State University

[email protected]