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About Peter Liljedahl
Dr. Peter Liljedahl is a Professor of Mathematics Education at Simon Fraser University in Vancouver, Canada. He is the current president of the Canadian Mathematics Education Study Group (CMESG), past-president of the International Group for the Psychology of Mathematics Education (IGPME), editor of the International Journal of Science and Mathematics Education (IJSME), on the editorial board of five major international journals, and a member of the NCTM Research Committee. Peter has authored or co-authored numerous books, book chapters, and journal articles on topics central to the teaching and learning of mathematics. He is a former high school mathematics teacher who has kept his research close to the classroom. He consults regularly with teachers, schools, school districts, ministries of education, and universities on issues of teaching and learning, assessment, and numeracy. Peter is a sought after presenter who has given talks all over the world on the topic of Building Thinking Classrooms, for which he has won the Cmolik Prize for the Enhancement of Public Education and the Fields Institute's Margaret Sinclair Memorial Award for Innovation and Excellence in Mathematics Education.
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Books By Peter Liljedahl
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.
This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.
Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.
This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment.
Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.