Making Sense of Measurement (MSM) focuses on ways to measure one-, two-, and three-dimensional attributes, develop connections among them, and make sense of standard formulas. Classroom Discussion is the implementation focus (Chapin, et al. 2009).
Big Ideas:
- Measurement is the process of assigning a number to a magnitude of some attribute shared by some class of objects, such as length, relative to a unit. (Progressions)
- The purpose of measurement is to allow indirect comparisons of objects’ amount of an attribute using numbers. (Progressions)
- Discussion of cognitively challenging tasks is complex, requiring teachers to understand how to prepare for these discussions and how to guide these discussions. (Talk Moves)
Course Goals:
Participants will:
- Reflect on the major ideas of K-8 measurement and data and examine how children develop those ideas.
- Explore children’s thinking to reveal the issues children must work through to develop an understanding of measurement and data concepts.
- Explore their own thinking and understanding measurement and data.
- Lead discussions of cognitively challenging, problem-based instructional tasks in their own classroom
- Develop their own understanding and what children need to understand about measurement (including length, area, and volume), and decomposing space in one-, two-, and three-dimensions.
- Examine the relationship between size of unit and the number of units needed to measure a length.
- Examine how changing dimensions of polygons affects perimeter and area.
- Examine the relationship between the area of triangular regions and the area of rectangles.
- Deepen their conceptual understanding of area and the way changing the dimensions of rectangular solids affects the volume and area.
- Write and implement PBITs into their classroom practice.
- Integrate talk moves and talk formats into their classroom discourse.
- Consider the impact of discourse on student learning and discuss the ways that classroom discourse can help develop mathematical concepts and build relationships.