Implementing Problem-Based Instruction in Secondary Mathematics Classrooms

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Author :
Publisher : Teachers College Press
ISBN 13 : 0807769282
Total Pages : 177 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Implementing Problem-Based Instruction in Secondary Mathematics Classrooms by : Sarah Ferguson

Download or read book Implementing Problem-Based Instruction in Secondary Mathematics Classrooms written by Sarah Ferguson and published by Teachers College Press. This book was released on 2024-03-22 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem-based instruction (PBI) is a research-based, student-centered instructional strategy that uses rich mathematical tasks to connect students' previously acquired math knowledge to new mathematical concepts. Unlike traditional teaching and learning strategies, PBI facilitates learning by making connections between mathematical concepts and real-world applications rather than through noncontextual, rote learning of skills, steps, and equations. This practical resource is an informative instructional tool for secondary mathematics teachers and teacher educators seeking to deepen their students' understanding of, and engagement with, mathematical learning. Highlighting both teacher and student perspectives, the text provides an overview of the PBI instructional strategy that includes best practices, guidance for implementation, and a companion website with more than 50 downloadable resources. In addition, readers will find 12 teacher-created sample lessons with prepared resources and detailed instructional guides. While written for novice PBI users, this book will enhance the instruction of teachers at all levels. Book Features: Provides 12 ready-to-use sample lesson plans aligned to the most common secondary mathematics topics written by experienced classroom teachers. Focuses on the practical implementation of problem-based instruction specifically for middle and high school mathematics instruction. Includes a template to guide readers step-by-step through creating their own problem-based lessons. Access to a companion website with more than 50 editable, online resources for easy classroom implementation.

Problem-Based Learning in Middle and High School Classrooms

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Author :
Publisher : Corwin Press
ISBN 13 : 1483362655
Total Pages : 137 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis Problem-Based Learning in Middle and High School Classrooms by : Ann Lambros

Download or read book Problem-Based Learning in Middle and High School Classrooms written by Ann Lambros and published by Corwin Press. This book was released on 2004-02-19 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lambros gives teachers all the tools they need for PBL instruction to boost reading comprehension, social skill development, content retention, and student motivation.

Mathematical Problem Solving

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Publisher : Elsevier
ISBN 13 : 1483295486
Total Pages : 426 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Project-Based Learning in the Math Classroom

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Author :
Publisher : Routledge
ISBN 13 : 1000495388
Total Pages : 197 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Project-Based Learning in the Math Classroom by : Chris Fancher

Download or read book Project-Based Learning in the Math Classroom written by Chris Fancher and published by Routledge. This book was released on 2021-10-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project-Based Learning in the Math Classroom explains how to keep inquiry at the heart of mathematics teaching and helps teachers build students' abilities to be true mathematicians. This book outlines basic teaching strategies, such as questioning and exploration of concepts. It also provides advanced strategies for teachers who are already implementing inquiry-based methods. Project-Based Learning in the Math Classroom includes practical advice about strategies the authors have used in their own classrooms, and each chapter features strategies that can be implemented immediately. Teaching in a project-based environment means using great teaching practices. The authors impart strategies that assist teachers in planning standards-based lessons, encouraging wonder and curiosity, providing a safe environment where failure occurs, and giving students opportunities for revision and reflection. Grades 6-10

Conceptual and Procedural Knowledge

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Publisher : Routledge
ISBN 13 : 1136559833
Total Pages : 357 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Conceptual and Procedural Knowledge by : James Hiebert

Download or read book Conceptual and Procedural Knowledge written by James Hiebert and published by Routledge. This book was released on 2013-08-21 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.

Helping Children Learn Mathematics

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Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Building Thinking Classrooms in Mathematics, Grades K-12

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Author :
Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Essential Readings in Problem-Based Learning

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Author :
Publisher : Purdue University Press
ISBN 13 : 1612493688
Total Pages : 398 pages
Book Rating : 4.6/5 (124 download)

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Book Synopsis Essential Readings in Problem-Based Learning by : Andrew Walker

Download or read book Essential Readings in Problem-Based Learning written by Andrew Walker and published by Purdue University Press. This book was released on 2015-01-15 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like most good educational interventions, problem-based learning (PBL) did not grow out of theory, but out of a practical problem. Medical students were bored, dropping out, and unable to apply what they had learned in lectures to their practical experiences a couple of years later. Neurologist Howard S. Barrows reversed the sequence, presenting students with patient problems to solve in small groups and requiring them to seek relevant knowledge in an effort to solve those problems. Out of his work, PBL was born. The application of PBL approaches has now spread far beyond medical education. Today, PBL is used at levels from elementary school to adult education, in disciplines ranging across the humanities and sciences, and in both academic and corporate settings. This book aims to take stock of developments in the field and to bridge the gap between practice and the theoretical tradition, originated by Barrows, that underlies PBL techniques.

Teaching Mathematics Through Problem-Solving

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Publisher : Routledge
ISBN 13 : 1000359867
Total Pages : 159 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Teaching Mathematics Through Problem-Solving by : Akihiko Takahashi

Download or read book Teaching Mathematics Through Problem-Solving written by Akihiko Takahashi and published by Routledge. This book was released on 2021-03-31 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

Successfully Implementing Problem-Based Learning in Classrooms

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Publisher : Purdue University Press
ISBN 13 : 1612494951
Total Pages : 320 pages
Book Rating : 4.6/5 (124 download)

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Book Synopsis Successfully Implementing Problem-Based Learning in Classrooms by : Thomas Brush

Download or read book Successfully Implementing Problem-Based Learning in Classrooms written by Thomas Brush and published by Purdue University Press. This book was released on 2017-03-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem-based learning (PBL) represents a widely recommended best practice that facilitates both student engagement with challenging content and students' ability to utilize that content in a more flexible manner to support problem-solving. This edited volume includes research that focuses on examples of successful models and strategies for facilitating preservice and practicing teachers in implementing PBL practices in their current and future classrooms in a variety of K-12 settings and in content areas ranging from the humanities to the STEM disciplines. This collection grew out of a special issue of the Interdisciplinary Journal of Problem-Based Learning. It includes additional research and models of successful PBL implementation in K-12 teacher education and classroom settings.

Project-Based Learning in Elementary Classrooms

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Publisher :
ISBN 13 : 9781680540680
Total Pages : pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Project-Based Learning in Elementary Classrooms by : Jean Lee

Download or read book Project-Based Learning in Elementary Classrooms written by Jean Lee and published by . This book was released on 2021-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

How to Use Problem-Based Learning in the Classroom

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Author :
Publisher : ASCD
ISBN 13 : 1416604839
Total Pages : 117 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis How to Use Problem-Based Learning in the Classroom by : Robert Delisle

Download or read book How to Use Problem-Based Learning in the Classroom written by Robert Delisle and published by ASCD. This book was released on 1997-11-15 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging and motivating students--especially the least motivated learners--is a daily challenge. But with the process of problem-based learning (PBL), any teacher can create an exciting, active classroom where students themselves eagerly build problem-solving skills while learning the content necessary to apply them. With problem-based learning, students' work begins with an ill-defined problem. Key to this problem is how it explicitly links something important in students’ daily lives to the classroom. This motivational feature is vital as students define the what, where, and how of resolving the problem situation. Problem-based learning may sound potentially chaotic and haphazard, but it rests on the firm foundation of a teacher's work behind the scenes. The teacher develops a problem long before students see it, specifically choosing the skills and content the problem will emphasize and matching those to curriculum and standards. Though a PBL problem will have no "right" answer, the teacher structures the experience so that specific learning takes place as students generate the problem-solving steps, research issues, and produce a final product. The teacher guides without leading, assists without directing. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

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Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III

Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

Educational Psychology

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Publisher : Good Year Books
ISBN 13 : 9780673982872
Total Pages : 732 pages
Book Rating : 4.9/5 (828 download)

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Book Synopsis Educational Psychology by : Gary D. Borich

Download or read book Educational Psychology written by Gary D. Borich and published by Good Year Books. This book was released on 1997 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized around the unique theme of "What teachers need to know," Borich and Tombari present clearly organized units on Developmental Learning, Instruction and Classroom Management, Assessment, and Diverse Learners. Features include two new chapters on cognitive and constructivist strategies of teaching and learning, and over 40 " Applying your Knowledge" boxes.

Strengths-Based Teaching and Learning in Mathematics

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Author :
Publisher : Corwin Press
ISBN 13 : 1544374925
Total Pages : 189 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Strengths-Based Teaching and Learning in Mathematics by : Beth McCord Kobett

Download or read book Strengths-Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin Press. This book was released on 2020-02-27 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Promising Practices in Undergraduate Science, Technology, Engineering, and Mathematics Education

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Author :
Publisher : National Academies Press
ISBN 13 : 0309212944
Total Pages : 96 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Promising Practices in Undergraduate Science, Technology, Engineering, and Mathematics Education by : National Research Council

Download or read book Promising Practices in Undergraduate Science, Technology, Engineering, and Mathematics Education written by National Research Council and published by National Academies Press. This book was released on 2011-04-19 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous teaching, learning, assessment, and institutional innovations in undergraduate science, technology, engineering, and mathematics (STEM) education have emerged in the past decade. Because virtually all of these innovations have been developed independently of one another, their goals and purposes vary widely. Some focus on making science accessible and meaningful to the vast majority of students who will not pursue STEM majors or careers; others aim to increase the diversity of students who enroll and succeed in STEM courses and programs; still other efforts focus on reforming the overall curriculum in specific disciplines. In addition to this variation in focus, these innovations have been implemented at scales that range from individual classrooms to entire departments or institutions. By 2008, partly because of this wide variability, it was apparent that little was known about the feasibility of replicating individual innovations or about their potential for broader impact beyond the specific contexts in which they were created. The research base on innovations in undergraduate STEM education was expanding rapidly, but the process of synthesizing that knowledge base had not yet begun. If future investments were to be informed by the past, then the field clearly needed a retrospective look at the ways in which earlier innovations had influenced undergraduate STEM education. To address this need, the National Research Council (NRC) convened two public workshops to examine the impact and effectiveness of selected STEM undergraduate education innovations. This volume summarizes the workshops, which addressed such topics as the link between learning goals and evidence; promising practices at the individual faculty and institutional levels; classroom-based promising practices; and professional development for graduate students, new faculty, and veteran faculty. The workshops concluded with a broader examination of the barriers and opportunities associated with systemic change.

Rigor, Relevance, and Relationships

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Author :
Publisher : National Council of Teachers of English
ISBN 13 : 9780873537704
Total Pages : 0 pages
Book Rating : 4.5/5 (377 download)

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Book Synopsis Rigor, Relevance, and Relationships by : Jean Sangmin Lee

Download or read book Rigor, Relevance, and Relationships written by Jean Sangmin Lee and published by National Council of Teachers of English. This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces project-based learning (PBL), an exciting new teaching methodology. PBL units that were designed and implemented by high school mathematics teachers are showcased throughout the book, which concludes with tips from mathematics educators who have taught and researched in PBL settings.