Do your students recognize a square if the base is oriented horizontally but call it a "diamond" if it is turned 45 degrees? Do they claim that a shape is a triangle because it "looks like" one? Do they say that one object is "bigger" than another without attending more precisely to the attribute they are comparing? What tasks can you offer-what questions can you ask-to determine what they know or don't know-and move them forward in their thinking?This book focuses on the specialized pedagogical content knowledge that you need to teach geometry and measurement effectively in prekindergarten...

Based on extensive research conducted by the authors, Reasoning and Sense Making in the Mathematics Classroom, Pre-K-Grade 2, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in elementary school mathematics. It describes and illustrates the nature of these skills using classroom vignettes and actual student work in conjunction with instructional tasks and learning progressions to show how reasoning and sense making develop and how instruction can support students in that development. Students who...

Quantitative reasoning and measurement competencies support the development of mathematical and scientific thinking in children in the early and middle grades and are fundamental to science, technology, engineering, and mathematics (STEM) education. The sixteenth Journal for Research in Mathematics Education (JRME) Monograph is a report on a four-year-long multisite longitudinal study that studied children's thinking and learning about geometric measurement (i.e., length, area, and volume). This project studied the developing knowledge of continuous quantity in geometric measurement contexts...