Number Sense: Fractions
The Western Region of the New York State Master Teacher Program is pleased to oﬀer our sequence of minicourses that focus on the big ideas, strategies, and models as described in the mathematical landscapes of learning framework.1 The framework is built on the premise that a student's mathematical thinking develops in a multitude of ways beginning with contexts or concrete tasks followed by pictorial representations and culminating in abstract perspectives. Exploration of NYS Next Generation Standard strands across the grade levels will provide opportunities for participants to share their grade level expertise and to enhance their understanding of the coherent development of fractional reasoning along the 1 – 8 spectrum. Each participant will receive a CTLE certiﬁcate for 12 hours of professional learning. Participants will also receive a set of six dry-erase boards (24x32) for small group work presentations.
New participants are welcome! Those that have participated in Landscapes I & II will see the work as building on previous ideas as we explore the changes to traditional instruction on fractions that are central to in the NYS Next Generation standards. Speciﬁcally, we will explore the concept of fractions as measures, unit fractions as building blocks for fractions and whole numbers through the processes of partitioning and iterating, and the conceptual underpinnings of fraction arithmetic. We will also examine how models such as number bonds, ratio tables, bar models, area models, and number lines naturally extend from whole numbers to fractions.