Peter Liljedahl

14 Teaching Practices for Enhancing Learning

Building Thinking Classrooms in Mathematics, Grades K-12

Egan J Chernoff

Sean Chorney

The teaching and learning of mathematics in British Columbia has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been Vector: Journal of the British Columbia Association of Mathematics Teachers. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematics education. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominent member of the British Columbia mathematics education community. As a result, this monograph provides a historical account as well as a contemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as a resource for a variety of individuals including: teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on the work of the British Columbia Association of Mathematics Teachers.

Celebrating 50 years of Vector

Selected writings from the Journal of the British Columbia Association of Mathematics Teachers

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Keep thinking...keep learning in different settings In Peter Liljedahl’s bestselling Building Thinking Classrooms in Mathematics: 14 Teaching Practices for Enhancing Learning, readers discovered that thinking is a precursor to learning. Translating 15 years of research, the anchor book introduced 14 practices that have the most potential to increase student thinking in the classroom and can work for any teacher in any setting. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? This follow-up supplement will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic. This guide: Provides the what, why, and how to adapt each practice in face-to-face settings that require social distancing, fixed seating, or small class sizes; synchronous and asynchronous virtual settings; synchronous and asynchronous hybrid settings; independent learning; and homeschooling. Includes guidance on using thinking classroom practices to support students in unfinished learning in small groups and one-on-one teaching or tutoring. Offers updated toolkits and a recommended order for the implementation of the practices for each of the settings. This supplement allows teachers to dip in as needed and continually modify the practices as their own classroom situations change and evolve, always keeping the thinking at the forefront of their mathematics teaching and learning.

Peter Liljedahl

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