NCTM 2016 Status Positioning

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Analyzing Classroom Interactions by Coordinating Status and Positioning Theories

Teresa K. Dunleavy, Ph. D. Peabody College of Education and Human Development Vanderbilt University [email protected] @teresakd NCTM, San Francisco, 13 April 2016

overview ² setting

the stage: equitable teaching and learning

² status theory ² positioning

theory

² coordinating status and ² an

positioning theories

example using the coordinated framework

² discussion ² implications

striving toward equity

(Cohen, 1994; R. Gutiérrez, 2007; 2013; Aguirre, Mayfield-Ingram, and Martin, 2013, p.9)

why study a mathematics classroom? ² striving

toward equity in mathematics education:

²too many students do not like and do not feel competent in mathematics ²by the time they reach high school, students enter mathematics classes with strong ideas about who they and their peers are as mathematics learners (Horn, 2012) ²a lack of success in learning mathematics is still too frequent and too predictable, particularly for students of color and for girls (Cohen & Lotan, 1997; R. Gutiérrez, 2007; 2013) ²success in mathematics supports success in other academic areas (National Research Council, 2001) ²classrooms that are student-centered and framed on discourse practices and group work have proven to effectively support historically marginalized students’ success in high-level mathematics content (Dunleavy, 2015; Boaler & Staples, 2008; Cohen & Lotan, 1997)

status theory A. valued status characteristics

D. individual's status

(Kalkhoff & Thye, 2006; Webster & Foschi, 1988)

B. behavior expectations

C. status generalization

positioning theory discourse / positioning moves

storyline

individual position

(Harré & van Langenhove, 1999)

coordinating status & positioning theories discursive acts & positioning moves

A. valued status characteristics

initial storyline

B. behavior expectations

developing storyline

D. individual's status/ position

enduring storyline

C. status generalization

coordinating status & positioning theories discursive assigning acts & competence positioning moves

A. valued status characteristics

initial storyline

B. behavior expectations

developing storyline

D. individual's status/ position

enduring storyline

C. status generalization

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week:

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. Martin

…I feel like there’s a lot of places where you sort of have the right idea, but you’re not a hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation?

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. Martin

…I feel like there’s a lot of places where you sort of have the right idea, but you’re not a hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation?

Jaelyn

T means total amount of money. D means number of days, or days.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. Martin

…I feel like there’s a lot of places where you sort of have the right idea, but you’re not a hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation?

Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Martin

Okay, so when I was here last, we had a discrepancy about what, what do you mean about total amount of money? Can you put more words around that?

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. Martin

…I feel like there’s a lot of places where you sort of have the right idea, but you’re not a hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation?

Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Martin

Okay, so when I was here last, we had a discrepancy about what, what do you mean about total amount of money? Can you put more words around that?

Jaelyn

No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) Okay. I give up! …

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. Martin

…I feel like there’s a lot of places where you sort of have the right idea, but you’re not a hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation?

Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Martin

Okay, so when I was here last, we had a discrepancy about what, what do you mean about total amount of money? Can you put more words around that?

Jaelyn

No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) Okay. I give up! …

Ms. Martin

Okay, so…There were a couple hiccups here, guys, where you had about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn

T means total amount Positioning of money. D meansstudents number of days, or days.

aswe competent Ms. Okay, so when I was here last, had a discrepancy about what, what do you mean Martin about total amount of money? Can you put more words around that? Jaelyn

No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) ((And then…)) … Okay. I give up! …

Ms. Okay, so…There were a couple hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn Ms. Martin Jaelyn

T means total amount of money. D means number of days, or days.

Asking for Okay, so when I was here last, we had a discrepancy about what, what do you mean about total amount of money?justification Can you put more words around that? No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) ((And then…)) … Okay. I give up! …

Ms. Okay, so…There were a couple hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lotJustification of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Okay, so when I was here last, we had a discrepancy about what, what do you mean Martin about total amount of money? Can you put more words around that? Jaelyn

No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) ((And then…)) … Okay. I give up! …

Ms. Okay, so…There were a couple hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Okay, so when I was here last, we had a discrepancy about what, what do you mean Martin about total amount of money? Can you put more words around that? Jaelyn

No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of Asking money he has, each week”.)) students ((And then…)) to … Okay. I give up! …

discrepancies Ms. Okay, so…There resolve were a couple hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Okay, so when I was here last, we had a discrepancy about what, what do you mean Martin about total amount of money? Can you put more words around that? Jaelyn

No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of Pressing for money he has, each week”.)) ((And then…)) … Okay. I give up! …

justification Ms. Okay, so…There were a couple hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn

T means total amount of money. D means number of days, or days.

Justification

Ms. Okay, so when I was here last, we had a discrepancy about what, what do you mean Martin about total amount of money? Can you put more words around that? Jaelyn

No…It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) ((And then…)) … Okay. I give up! …

Ms. Okay, so…There were a couple hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn Ms. Martin Jaelyn

T means total amount of money. D means number of days, or days.

Positioning self as Okay, so when I was here last, we had a discrepancy about what, what do you mean competent about total amount ofnot money? Can you put more words around that? No…. It means total amount of money! Okay. I’m just putting words to it…. Total amount of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) ((And then…)) … Okay, I give up!

Ms. Okay, so…There were a couple hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Okay, so when I was here last, we had a discrepancy about what, what do you mean Martin about total amount of money? Can you put more words around that? Jaelyn

Orienting students to

No…. It means total amount of money! Okay. I’m just putting words to it…. Total amount oneweek. another of money he has, each ((Pausing and repeating several times “total amount of money he has, each week”.)) ((And then…)) … Okay, I give up!

Ms. Okay, so… There were a coule hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis Student justification in a September Shuffle Quiz At the beginning of each week Manuel is given $80. He spends $10 every day. He uses the equation T = 80 – 10D to calculate how much money he has left on any day of the week: Ms. …I feel like there’s a lot of places where you sort of have the right idea, but you’re not a Martin hundred percent on, so I’m going to bug you to be really detailed about it. So, Jaelyn, part a, what do T and D mean in this situation? Jaelyn

T means total amount of money. D means number of days, or days.

Ms. Okay, so when I was here last, we had a discrepancy about what, what do you mean Martin about total amount of money? Can you put more words around that? Jaelyn

No…. It means total amount of money! Okay. I’m just putting words to it…. Total amount Orienting and pressing of money he has, each week. ((Pausing and repeating several times “total amount of money he has, each week”.)) ((And then…)) …for Okay,justification I give up!

Ms. Okay, so… There were a coule hiccups here, guys, where you had Martin about the same thing, but not exactly the same thing. So stuff like your tables are important to check, and stuff like talk about where [the problem] asks you to explain. I’m going to ask you not just to read, but to say more about it.

coordinated positioning & status theory analysis discursive acts & positioning moves

A. valued status characteristics

initial storyline

B. behavior expectations

developing storyline

D. individual's status/ position

enduring storyline

C. status generalization

discussion/transcript analysis ² Use

framework to analyze transcripts.

framework interpretation ² Episode 1: Teacher Positioning Mediates Expectations for Competence

²Ms. Martin positioned Neesha’s explanation and table as competent. ² Episode 2: Student Positioning Predicts Expectations for Competence

²Naima’s high status may have influenced the group to write y = 52 + 1.3x. ² Episode 3: Teacher Respositioning Facilitates Equal-Status Interaction

²Ms. Martin next reinforced each student’s competence through the use of pointing, explaining, and using manipulatives. ²Ms. Martin’s intervention moved Neesha and Elena’s conversation toward an equal-status interaction.

Thank you!

[email protected] @teresakd