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Problem-Based Math Teaching Essentials

Establishing a Classroom Community for Independent Thinkers

Identity in the Responsive Math Community (1:55)
Math Identity (2:06)
What is self efficacy?
Establishing Trust and the Brain (8:15)

Establishing Math Goals

Illustrating the Standards (1:56)
Mathematical Progressions (1:35)
Developing Learning Targets (1:25)

Developing Fluency from Conceptual Understanding

What is Fluency (8:48)

Using Multiple Representations

What are mathematical representations? (2:13)
How do representations progress over time? (4:15)

Orchestrating Productive Discourse

Talk Moves (0:58)
Routines (10:29)

Posing Purposeful Questions

Types of Questions (12:15)
Developing a Habit of Curiosity (7:33)

Supporting Productive Struggle

Identify Characteristics of Dependent and Independent Learners (5:05)
Connect Productive Struggle to learned Dependency (0:35)
Learn 5 Cognitive Routines That Develop Independent learners (4:46)

Analyzing Student Thinking

Developing a Habit to Listen (1:29)
Looking at Student Work (3:22)
Providing Productive Feedback (3:57)

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Looking at Student Work

As you watch the video below make a list of everything Troy seems to know and understand.

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