Welcome to ITP 524:

Secondary Math Methods

Class 7: Wednesday November 13

Agenda

1. Welcome!
2. Community Building Activity (4:45 - 5:00pm)
3. Reading Discussion (5:00 - 6:00pm)
4. Break (6:00 - 6:30pm)
5. Student Thinking Project (6:30 - 7:40pm)

Learning Objectives

Teachers will …

1. Continue to describe features of “current” math education (aspects of student learning - conceptual understanding and procedural fluency)
2. Continue to identify and reflect on their values of, views of, and experiences with mathematics and mathematics education

Course Standards

Teachers will …

1. Deepen your understanding of how students learn mathematics and how a teacher can facilitate the mathematical growth and development of all students through creating an environment that supports individual and collaborative learning
2. Plan instruction that supports each student’s progress toward learning goals by drawing upon knowledge of students and the community context
3. 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 Riley :)

Jeopardy!

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Community Building Activities Sign-up

Reading Discussion

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5:00 - 6:00pm

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,

Conceptual Understanding,

Procedural Fluency)

“Effective” Teaching Practices

Probe & Elicit Student Thinking

Promote Equitable Participation (drawing on student identity and assets)

Aspects of Student Learning

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Conceptual Understanding

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Procedural Fluency

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Math Reasoning

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Problem-Solving Skills

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Van de Walle, Karp & Bay-Williams Ch. 2 -->

Duy’s notes

PROMPT 1: How do the articles/videos this week define/describe procedural fluency?

Reed’s notes

PROMPT 1: How do the articles/videos this week define/describe understanding and how a learner develops understanding?

Analyzing of Student Thinking

Partial Products

(clearer sense of place value and distributive property)

Traditional Algorithm

(unclear sense of place value and distributive property)

Analyzing of Student Thinking

Area Model (left) AND Partial Products (right)

(clearest sense of place value and distributive property)

Aspects of Student Learning

Let’s build on our thinking from last week to identify

conceptual understanding AND/VERSUS procedural fluency

for the math concept you selected last week

(see next 5 slides)

Aspects of Student Learning

Aspects of Student Learning

Aspects of Student Learning

Aspects of Student Learning

Aspects of Student Learning

Aspects of Student Learning

Let’s share across groups and talk about

• what we can do to support students in developing conceptual understandings of topics
• what we can do to support students in developing procedural fluency of topics

Break Time!

6:00 - 6:30pm

Back at 6:30pm

Student Thinking Project

6:30 - 7:40pm

Student Thinking Project

Please do the following:

1. Find a partner
2. Pull out your student work
3. Find an example of conceptual understanding in each piece of student work
4. Find an example of procedural fluency in each piece of student work
5. As a pair, select 1 example of conceptual understanding AND 1 example of procedural fluency to share with our class

Student Thinking Project

Let’s share a few example that we found :)

Student Thinking Project

Find a new partner and discuss the following:

• Strategies that you used to elicit and probe each student’s thinking with an explanation of whether and why you feel each strategy “worked” or “didn’t work”
• Strategies you plan to use when eliciting and probing students’ thinking in the future and why you feel these strategies are helpful/beneficial for eliciting and probing student thinking

Student Thinking Project

Let’s share helpful strategies :)