In this minicourse we will explore fundamental ideas related to the classification of 2-D and 3-D shapes, spatial orientation, and geometric reasoning. The landscape of learning related to the classification of shapes progresses from children’s early visual-based categorizations to an increased focus on attributes and properties within categories of shapes, and culminates in an understanding of the hierarchical relationships among different classes of shapes. Within this progression are important ideas related to the role of definition, and the nature and need for proof. A second area of focus will be on the landscape that maps the development of spatial reasoning and positional awareness. Content involving shape composition and decomposition, the specification of location using coordinate grids, transformations in the plane, and the Pythagorean theorem will also be explored. Our discussions will focus on sharing classroom practices that foster students’ growth across the landscape and take advantage of the range of grade level perspectives that will be represented. Concrete tools for thinking including tiles, blocks, sketches and drawings, shape sets, and geoboards, as well as apps and computer graphics, will be an integrated into course activities.
**CANCELLED DUE TO NYS BUDGET CONSTRAINTS
In this minicourse we will explore fundamental ideas related to linear, 2D and 3D measurement. The landscape of learning progresses from children’s early visual -based comparisons and quantification to an increased focus on the relationship between number and measurement including conservation, partitioning, unitizing and iteration. Activities will build on our work in Landscapes V as we delve into geometric contexts and explore paths and linear measure, turns and angle measure, area and surface area, volume, as well as distance in the coordinate plane including the Pythagorean theorem. Our discussions will focus on sharing classroom practices that foster students’ growth across the landscape and take advantage of the range of grade level perspectives that will be represented. Concrete tools for thinking including tiles, blocks, sketches and drawings, geoboards, as well as apps and computer graphics, will be an integrated into course activities.
**CANCELLED DUE TO NYS BUDGET CONSTRAINTS
New York State Master Teacher Program
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