Please note these descriptions are subject to change. If you are a participant from C-TaP or the Los Angeles Master Teacher Program, please choose the appropriate working group from the last two on the list. Other participants should choose from the first six working groups listed. When appropriate, the working groups will take into consideration the Common Core Mathematics Standards (CCSS). If you have any questions regarding the SSTP Working Groups, please contact the PCMI office at firstname.lastname@example.org .
Reasoning from Data and Chance
Participants will explore ideas relating to data and chance as described in the CCSS statistics standards. Technology, such as the statistical software FATHOM or TI-Nspire, will be used as a tool for learning. Participants will engage with content related to the study of data in beginning secondary courses as well as in AP Statistics.
Exploring Discrete Mathematics
Members of this working group will explore topics from discrete mathematics, which is becoming more important in an increasing number of applications. Possible topics include counting techniques, graph theory, matrix algebra, and discrete dynamics.
Participants will consider one or more geometry topics grounded in the CCSS from multiple mathematical and pedagogical perspectives with special emphasis on “hands-on-investigations,” model building, dynamic software, and other active approaches.
Learning about Geometric Groups
Participants will take part in a college level course -- Groups, Graphs and Trees -- offered in the Undergraduate Summer School program and, with a designated SSTP instructor, reflect on the mathematics they are learning and how some of the math might be used with secondary students. Geometric group theory is a field of mathematics which thrives on interesting examples, and interspersed with proving some introductory theorems, the course will focus in detail on several major families of groups that are studied from this perspective. Some knowledge of group theory is expected.
Implementing Lesson Study
Lesson study, Jugyoo Kenkyuu, is a professional development activity that is at the heart of much of the professional development for teachers in Japan. In this group, participants will select a mathematical goal for a “study lesson,” spend an extended period of time collaboratively creating a detailed lesson plan, observe a participant teach the lesson to students, reflect as a group on how the lesson interacted with student learning, and revise and refine the lesson to share with others.
Participants will explore selected functions from multiple perspectives, particularly with respect to the emphasis in the CCSS. Functions of interest may include polynomials and trigonometric functions as well as matrix functions or geometric transformations. One possible topic is the use of computer algebra systems to work with functions and how these can support or hinder learning.
C-TaP Working Group
Participants will revise and refine the CCSS toolkit using information from the pilot programs, considering how the content and delivery can be enhanced to better meet the C-TaP goals. Note that this working group is restricted to members of the Teachers as Professionals Program.
Los Angeles Course Improvement Working Group
Participants will work together to create a framework for the goals of a designated course, resources for teaching key concepts, and design strategies for implementation. Note that this working group is restricted to members of the MfA LA Master Teacher Program.