Grades 4-7: Using Fractions Big Ideas & Strategies to Develop Proportional Reasoning
Type of PD: 3-Day Institute
Institute Dates: 1/31/18, 2/7/18, 2/14/18
Location: J.H.S. 167M- Robert F. Wagner Middle School (02M167), 220 E 76th St,
New York, NY 10021
Time: 8:30 a.m. - 3:00 p.m. (1 hour lunch break included)
Cost: $750 per person
Who should attend: All Math Educators Grades 4-7, including Teachers, Special Education Teachers, and Coaches in the grade levels.
The sessions will give teachers in Grades 4-7 an opportunity to explore:
- Their own mathematical content knowledge and problem solving habits of mind.
- The Landscape of Learning, which is comprised of the foundational big ideas in multiplication, division, and fractions and how these are directly related to (and essential for) developing students’ ability to reason proportionally.
- The role of rich tasks in developing the big ideas and strategies in fractions as ratios.
- The role of mathematical models (e.g., the double number line, the array, the ratio table) to support and develop multiplicative and proportional reasoning.
- Fraction and ratio problems to help teachers construct an understanding of specific models (e.g., part-whole, fraction as division, fraction as ratio, etc.).
- Incorporating the use of the CCSS Mathematical Practices through talk moves.
- Assessment tools to track student learning in whole number and rational number operations.
- Video examples of lessons designed to develop proportional reasoning.
Participants will leave with:
- A clear understanding of the Landscape of Learning (a developmental trajectory to help teachers assess student reasoning in fractions).
- A repertoire of rich tasks that can be used to build proportional reasoning.
- Specific assessments that can be used to examine students’ understanding of fractions and proportional reasoning.