Welcome to ITP 524:
Secondary Math Methods
Class 4: Wednesday January 29
Agenda
NO CLASS NEXT WEEK
Learning Objectives
Teachers will …
Course Standards
Teachers will …
Community Building Activity
4:45 - 5:00pm
Community Building Activity
5 Practices (Select, Sequence, Connect)
5:00 - 5:25pm
Cultural Competence
(maintain students’ cultural integrity and use students’ culture as a vehicle for learning)
Critical/Socio-Political Consciousness
(develop students’ consciousness that allows them to critique cultural norms, values, mores, and institutions that produce and maintain social inequities)
Academic Achievement/Success
(develop students’ academic
skills and excellence)
Culturally Relevant Pedagogy
Gloria Ladson-Billings
Aspects of Student Learning
(Standards for Math Content
and Practices, Conceptual Understanding, Procedural Fluency)
“Effective” Teaching Practices
Develop/Select
Worthwhile Tasks
(Justify and Explain, Solve with Drawings, Relevant Contexts, Verify & Relate Strategies, Multiple Entry & Exit Points, High Cognitive Demand)
Academic Achievement & Success
Probe & Elicit Student Thinking
Lesson Planning
Facilitating Meaningful Math Discourse
5 Practices (Anticipating, Monitoring, Selecting, Sequencing, Connecting
Assessment
Promote Equitable Participation (drawing on student assets and smarts, status/power hierarchies)
5 Practices (Select, Sequence, Connect)
5 Practices (Select, Sequence, Connect)
Please do the following for 8 minutes):
5 Practices (Select, Sequence, Connect)
Let’s share what each group did in the
Selecting, Sequencing, and Connecting slide deck
AND
discuss how each group’s ideas for selecting, sequencing, and connecting the student solutions “make the mathematics accessible to all students” and “build a mathematically coherent story line” (Smith & Stein, p. 44)
5 Practices (Select, Sequence, Connect)
How do you or could you implement these practices in your own instruction?
Productive Student Talk Moves
5:25 - 6:15pm
Cultural Competence
(maintain students’ cultural integrity and use students’ culture as a vehicle for learning)
Critical/Socio-Political Consciousness
(develop students’ consciousness that allows them to critique cultural norms, values, mores, and institutions that produce and maintain social inequities)
Academic Achievement/Success
(develop students’ academic
skills and excellence)
Culturally Relevant Pedagogy
Gloria Ladson-Billings
Aspects of Student Learning
(Standards for Math Content
and Practices, Conceptual Understanding, Procedural Fluency)
“Effective” Teaching Practices
Develop/Select
Worthwhile Tasks
(Justify and Explain, Solve with Drawings, Relevant Contexts, Verify & Relate Strategies, Multiple Entry & Exit Points, High Cognitive Demand)
Academic Achievement & Success
Probe & Elicit Student Thinking
Lesson Planning
Facilitating Meaningful Math Discourse
5 Practices (Anticipating, Monitoring, Selecting, Sequencing, Connecting)
Assessment
Promote Equitable Participation (drawing on student assets and smarts, status/power hierarchies)
Student Talk Moves
(Revoicing, Repeating, Reasoning, Adding On, Waiting)
Posing Purposeful Questions
PROMPT 1: What are the 5 "productive" talk moves?
Productive Student Talk Moves
Please do the following:
PETE 1 Xaviers and also Gennie: PGX - Porlang International Airport
Revoicing | “________, is that a fair way to summarize what you are saying?” “____, I like that you said ______. What I hear you understand is ___________” |
Repeating | “I’m going to call on someone to summarize what _____ said, make sure you are listening!” “____, how would you state what he said in a way that makes more sense to your brain?” “What if you had to explain what she said to a 5th grader?” |
Reasoning | “What do you like about [classmate]’s _____?” “Talk to your neighbor about what you said and come up with an answer that combines both of your thinking.” “Do we agree with what _____ said for this problem? What would you do differently?” |
Adding On | “Does anyone have any more questions on ___” “Can anyone from Group 2 pick up where she left off?” “Alright, I’m going to popcorn what you just said to ____. What can you add to that?” |
Waiting |
Group 2 Names: Scott Reed Duy
Revoicing | A student understands a concept and is somewhat able to articulate their idea, but additional clarity would benefit the rest of the class. |
Repeating | Students are sharing their ideas while a few are disengaged and distracting, so a prompt to repeat is given to redirect. A student tries to explain their reasoning but struggles to use precise language, so another is prompted to repeat. |
Reasoning | “Which strategy do you prefer,” questions which are either preference-based, prone to misconceptions, or require interpretation. |
Adding On | Asking clarifying questions, fishing for solutions to incomplete answers, red herrings masking said fishing |
Waiting | Useful in situations where teacher has high confidence in student’s understanding but may be shy or otherwise reluctant to share. |
Group 3 Names: Dom, Riley, Zion (DR. Z.)
Revoicing | Clarifying for confusion, lend confidence to a shy student. Good way to model using academic language. |
Repeating | Sometimes punitive, if a student is not paying attention. Sometimes we tell students who should be working together to talk to each other (okay Tommy, now say what you said to Jill, etc.) |
Reasoning | Asking if students got the same answer or used the same strategy. This works nice especially nice if there are multiple correct answers or good strategies. Asking if any of the students agree or disagree with their peer’s work. |
Adding On | Could be tied to good sequencing. Adding something new or filling in a gap. |
Waiting | Use this to not let students off the hook with an instant “I don’t know.” They feel the awkward tension as well. This can also support a student who is shy but you have seen has a nice contribution. |
Questions about the Productive Student Talk Moves
Group 1 | How to do the “reasoning” talk moves without it feeling confrontational? Is this a day-one talk move? How to handle students who don’t want to answer a question? Is there a way to get them to participate without feeling overwhelmed? Is there any other good examples of revoicing talk? |
Group 2 | Waiting: When would it be preferable to just do a think-pair-share? |
Group 3 | Repeating: How do I fight the inclination to make it a gotcha practice? (Gennie answered this question wonderfully, when she shared that her CT warns her students about the move beforehand.) Sometimes students really hate the fact if I am not telling them if they are right or not. Is it okay to give them a quick “yeah, there are lots of things that look reasonable, but what about…”? |
6:15 - 6:45pm
Break Time!
Back at 6:45pm
Let’s check in about edTPA Writing Days
Saturday February 1 from 9:30am-12:30pm
Saturday February 22 from 2-5pm
March 7 or 8 from 9am-1pm (program wide)
NO CLASS NEXT WEEK
Equitable Math Instruction Project Part 2
6:45-7:40
Cultural Competence
(maintain students’ cultural integrity and use students’ culture as a vehicle for learning)
Critical/Socio-Political Consciousness
(develop students’ consciousness that allows them to critique cultural norms, values, mores, and institutions that produce and maintain social inequities)
Academic Achievement/Success
(develop students’ academic
skills and excellence)
Culturally Relevant Pedagogy
Gloria Ladson-Billings
Cultural Competence
Identity
(e.g., gender, race, class, culture, language proficiency)
Personal, Cultural, and Community Assets and Strengths
Personal and Societal Biases
Power and Status Hierarchies
In- and Out-of-SchoolMath Experiences
Zion’s notes
PROMPT 2: What teaching practices (i.e., "variables") does Liljedahl state are the key characteristics of thinking classrooms?
Zion’s notes
PROMPT 2: What teaching practices (i.e., "variables") does Liljedahl state are the key characteristics of thinking classrooms?
Chat about these prompts with your group
and be prepared to share 1 idea from your group:)
PROMPT 2: What teaching practices (i.e., "variables") does Liljedahl state are the key characteristics of thinking classrooms?
PROMPT 4: After spending time in your clinical experience, our math methods course, and listening to the Stenhouse Publishers Something to Talk About: Rethinking Participation in Classroom Conversations podcast, how are you rethinking participation in your classroom conversations?
Access your Student Assets and Status Inventory THEN write on the whiteboard a few of the descriptors you wrote to characterize your students’ assets, participation, and status.
As a group, let’s identify themes in the terms we use to characterize our students’ assets, participation, and status
Equitable Math Instruction Project Part 2
Let’s identify:
Equitable Math Instruction Project Part 2
What connections are there between/among
our students’ assets, participation and status in our math classes?
Equitable Math Instruction Project Part 2
Talk about your use of Co- Learning Tool 2, in particular
Equitable Math Instruction Project Part 2
Let’s share about our use of the Co- Learning Tool 2:
Equitable Math Instruction Project Part 2
Let’s discuss
Equitable Math Instruction Project Part 2