Implementing Problem-Based Instruction in Secondary Mathematics Classrooms

Implementing Problem-Based Instruction in Secondary Mathematics Classrooms PDF Author: Sarah Ferguson
Publisher: Teachers College Press
ISBN: 0807769282
Category : Education
Languages : en
Pages : 177

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Book Description
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.

Successfully Implementing Problem-Based Learning in Classrooms

Successfully Implementing Problem-Based Learning in Classrooms PDF Author: Thomas Brush
Publisher: Purdue University Press
ISBN: 1612494951
Category : Education
Languages : en
Pages : 320

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Book Description
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.

Problem-Based Learning in Middle and High School Classrooms

Problem-Based Learning in Middle and High School Classrooms PDF Author: Ann Lambros
Publisher: Corwin Press
ISBN: 1483362655
Category : Education
Languages : en
Pages : 137

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Book Description
Lambros gives teachers all the tools they need for PBL instruction to boost reading comprehension, social skill development, content retention, and student motivation.

Project-Based Learning in the Math Classroom

Project-Based Learning in the Math Classroom PDF Author: Chris Fancher
Publisher: Routledge
ISBN: 1000495388
Category : Education
Languages : en
Pages : 197

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Book Description
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

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

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Book Description
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.

Problems as Possibilities

Problems as Possibilities PDF Author: Linda Torp
Publisher: ASCD
ISBN: 0871202972
Category : Education
Languages : en
Pages : 140

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Book Description
Grade level: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, k, p, e, i, s, t.

Project-Based Learning in Elementary Classrooms

Project-Based Learning in Elementary Classrooms PDF Author: Jean Lee
Publisher:
ISBN: 9781680540680
Category :
Languages : en
Pages :

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Book Description


Mathematical Problem Solving

Mathematical Problem Solving PDF Author: ALAN H. SCHOENFELD
Publisher: Elsevier
ISBN: 1483295486
Category : Mathematics
Languages : en
Pages : 426

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Book Description
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.

Teaching and Learning Secondary School Mathematics

Teaching and Learning Secondary School Mathematics PDF Author: Ann Kajander
Publisher: Springer
ISBN: 3319923900
Category : Education
Languages : en
Pages : 695

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Book Description
This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.

Mathematical Problem Posing

Mathematical Problem Posing PDF Author: Florence Mihaela Singer
Publisher: Springer
ISBN: 1461462584
Category : Education
Languages : en
Pages : 587

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Book Description
The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​