The document summarizes Christobelle Tan's final colloquium for her EDS 379B class during Winter 2013. It provides context about the students at The Preuss School who were in Honors Algebra 1, an overview of the three-day PACT teaching event focusing on simplifying, multiplying, dividing, and adding/subtracting fractions, and reflections on TPE competencies like making the subject matter comprehensible, assessing student learning, planning instruction, and next steps. The teaching event helped improve lessons over time and reflect on pacing. Assessments and interacting with students helped learn about their abilities and ideas to better sequence instruction. The next steps are to help students solve real-world math problems using various representations