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Reasoning from Data & Chance
Exploring Discrete Math
Investigating Geometry
Learning about Geometric Groups
Implementing Lesson Study
Visualizing Functions
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Ning: PCMI 2012
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The PCMI 2012 Summer Session has three strands:
 Developing Mathematics
 (2 hours per day, 5 days per week)
 Common Core puts emphasis on geometry through rigid motions and dilations. What are the isometries that carry an equilateral triangle to itself? A square? A cube? A polygon or polyhedron? This course will start from scratch, investigating such questions and showing how the geometry of polygons is connected to the algebra of the transformations that preserve that geometry.

 Reflecting on Practice: Connections to Research
 (75 minutes per day, 5 days per week, plus opportunities for informal sessions in late afternoon and evenings)
 Questions That Count considers the nature of questioning and whether every question a teacher asks is really worthwhile. What kinds of questions do our students ask? How can we make our classrooms a place where questioning is central to learning? Participants will consider research related to teaching and learning mathematics with a particular focus on questions designed to provoke student thinking. The emphasis will be on learning to design and use questions and questioning techniques that push students to make connections and come to understand mathematics in a deeper way or that probe their thinking to better understand how they perceive the mathematics. The discussion will be grounded in the study of discourse and questioning in lessons and classroom practice in both the United States and other countries.
 download: Reading prior to Week 1 [requires generic username/password]

 Working Groups
 (2 hours, 4 days a week)
 As part of their summer activities, each participant selected for the Secondary School Teacher Summer Program will be assigned to a small, focused working group. Note that two of the working groups are program specific and participation is by invitation only. Each group will prepare a first draft of an activity, lesson, reflection on a piece of mathematics or another product useful for the secondary classroom that can be shared with other teachers. Note that these topics may change before the summer session.

 Reasoning from Data and Chance
 Exploring Discrete Mathematics
 Investigating Geometry
 Learning about Geometric Groups
 Implementing Lesson Study
 Visualizing Functions
 cTaP
 All participants will be consulted and notified of their working group assignments prior to the Institute.
Each Working Group is composed of a small group of teacher participants led by a member of the SSTP staff. The group works together to research existing classroom materials and techniques, technologies, and other materials related to the topic, for dissemination and eventual publication by PCMI. The focus of the work should be on:
 creating and elaborating meaningful tasks
 designing activities to extend content knowledge
 illustrating the use of technology as a way to enhance learning and teaching
