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Place Value Playground: Building Strong Number Sense PD (Grades K-5)

Presented by UCLA Center X

Wednesday, July 1, 2026ยท3:00 PMPast Event

UCLA Center X presents this focused professional development session on place value โ€” a deceptively complex mathematical concept that underpins virtually every arithmetic operation students will encounter. Drawing on the UCLA Mathematics Project's thirty-five years of research and experience in transforming mathematics teaching in urban schools, this workshop takes a deep dive into how young learners actually make sense of place value and why so many students develop fragile or procedural understanding that breaks down when they encounter more complex operations. Participants explore the mathematical properties that make place value work โ€” and discover how these same properties are essential to understanding addition, subtraction, multiplication, and division at a conceptual rather than merely procedural level. The session is grounded in Cognitively Guided Instruction (CGI) principles, UCLA Center X's signature approach that starts with understanding how students think mathematically and uses that understanding to design instruction that builds genuine number sense. Rather than teaching place value as an isolated topic, participants learn to weave it throughout their mathematics instruction as the unifying concept it truly is. For K-5 educators who want their students to develop robust, flexible number sense that transfers across mathematical domains, this in-person session provides the conceptual depth and practical strategies to make that happen.

Key Takeaways

โœ“Deep conceptual understanding of place value and its role across arithmetic operations; how young learners develop (and sometimes mis-develop) number sense; mathematical properties essential to addition, subtraction, multiplication, and division; Cognitively Guided Instruction approaches to place value teaching; weaving place value understanding throughout K-5 mathematics instruction

Evidence base: Built on UCLA Center X's thirty-five years of mathematics education research, the Cognitively Guided Instruction (CGI) framework, and the UCLA Mathematics Project's extensive work with urban school districts in the Los Angeles basin

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