Welcome to ITP 524:

Secondary Math Methods

Class 5: Wednesday October 30

Agenda

1. Welcome!
2. Community Building Activity (4:45 - 5:00pm)
3. Math Lesson (5:00 - 6:15pm)
4. Break (6:15 - 6:45pm)
5. Reading Discussion (6:45 - 7:20pm)
6. Share Digital Math Journals (7:20 - 7:40pm)

Learning Objectives

Teachers will …

1. HS.AEE.C.8 Construct a viable argument to justify a method for solving equations or inequalities.
2. Describe features of “current” math education (eliciting and probing student thinking)

Course Standards

Teachers will …

1. Expand your mathematical understanding, your views regarding the nature of mathematics and mathematical activity, and develop teaching strategies which can facilitate students’ mathematical thinking and understanding (e.g., observing and listening to students as they work individually and collaboratively)
2. Recognize and appreciate the value of collaboration through your interactions in the course and begin to see yourself as part of a larger community of mathematics educators

Community Building Activity

4:45 - 5:00pm

Community Building Activity

Take it away Pete :)

​

Community Building Activities Sign-up

Math Lesson

5:00 - 6:15pm

Our First Math Lesson

Our Second Math Lesson

Our Second Math Lesson

Math Lesson

CPM Course 3

Course 3 Volume 1

Math Lesson

Oregon Math Standards

Math Lesson

Team 1: Gennie, Oliver, Pete, Riley

Team 2: Dom, Reed, Scott

Team 3: Duy, Noemi, Zion

Math Lesson

Please do the following with your team:

​

1. Review your list of team norms

​

• Have each person get familiar with their role (see this chart --->)

​

• Work on the problems as follows follows for 20 minutes (original problem set):
1. Read the math problem you are working on aloud (all work on the same problem)
2. Each person independently works on task for 30-60 seconds
3. Each person shares their thinking about the problem

AND group members ask clarifying question, add on to,

or reason about the thinking shared

​

• (Once each person has shared) Prepare to write a collective solution for 2-74

Red tiles = negative value

= negative tile

= positive tile

Our group norms:

• Listening to understand, not to respond

​

• Mistakes are expected and accepted

​

• Give space, share the mic of life

​

• Accept feedback on different strategies

​

• Learn from each other

​

• Honor the wisdom of everyone

​

US—>

​

​

​

​

​

Team 1: Gennie, Oliver, Riley, Pete

Team Name: PROG Squog

PROG SQUOG

Oliver

Gennie

Pete

Riley

Our group norms:

• Constant communication
• Fair distribution of work
• Good faith in constructive criticism
• Mutual accountability
• Summary synthesis/debrief

​

Team 2: Reed, Scott, Dom, Kathleen

Team Name: In the works!!

Our group norms:

• Be respectful
• Be open to giving and receiving constructive criticism
• Be willing to collaborate and learn from each other
• Invitation to speak up and hear each other out
• Allow and expect a lack of closure.
• Be aware of shortcomings and be understanding of special circumstances (We are all human)

​

​

​

Team 3: Zion, Duy, Noemi

Team Name: ZND (Zone of Notable Development)

Math Lesson

Ask a clarifying question about the solution:“What do you mean by …?”, “Why do you think that?”, “Will you explain that again?”, “I have a question about …”, “I don’t quite understand. Can you explain it a little bit more?”, “How do you know your answer is right?”

​

Add on to the solution: “I would like to add …”

​

Reason about the solution: “I (dis)agree with your strategy because …”, “My strategy is like yours because …”, “My strategy is different from yours because …”

(Chapin, O'Connor & Anderson, 2009; Topcuoglu & Nelson (2018)

Math Lesson

Math Lesson Debrief

Let’s discuss …

1. What Standards for Math Practice did we use/engage in during our math lesson today?
2. What did Torrey say and do to elicit and probe student thinking?

Break Time!

6:15 - 6:46pm

Back at 6:46pm

​

Sign up for 1-1 meeting with Torrey using

Torrey's appointment schedule calendar

(let Torrey know if you need to meet at a different time than what is offered)

Reading Discussion

​

6:30 - 7:20pm

Culturally Relevant Pedagogy

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)

Academic Achievement & Success

Aspects of Student Learning

(Standards for Math Content

and Practices)

“Effective” Teaching Practices

Probe & Elicit Student Thinking

Promote Equitable Participation (drawing on student identity and assets)

PROMPT 1: What guidelines/recommendations do Munson, Kwon, & Trinkle provide for conferring with students?

Riley’s notes

PROMPT 2: What are the 8 categories of teacher moves that the Jacobs & Ambrose state are productive in advancing mathematical conversations?

Oliver’s notes

PROMPT 2: What are the 8 categories of teacher moves that the Jacobs & Ambrose state are productive in advancing mathematical conversations?

Oliver’s notes

Probing & Eliciting Student Thinking

Please do the following:

1. Find a partner and have each person select a task (area, proportional relationship or factoring)
2. Assign one person to be the “STUDENT” and the other person to be the “TEACHER”
3. Have the STUDENT work on the task as they think a student would work on the task WHILE the TEACHER tries to follow the STUDENT’s thinking and work.
4. Switch roles.

Probing & Eliciting Student Thinking

Let’s discuss the following:

1. Helpful strategies that you used to elicit and probe each student’s thinking (including what information each helped you learn)
2. Unhelpful strategies that you used to elicit and probe each student’s thinking (including what you might have done alternatively)
3. Strategies you plan to use when eliciting and probing your students’ thinking in the future (including for the Student Thinking Project)

​

Share Digital Math Journals

7:20 - 7:40pm

Share Digital Math Journals

Let’s share our Digital Math Journals :)

​

Then let’s chat about …

• Themes that characterize our collective experiences
• Similarities and differences we notice
• Questions we have

​