Introducing Nonroutine Math Problems to Secondary Learners

Introducing Nonroutine Math Problems to Secondary Learners

Author: Robert London

Publisher: Taylor & Francis

Published: 2023-08-22

Total Pages: 271

ISBN-13: 100093036X

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Offering secondary math educators an innovative holistic and process-orientated approach for implementing nonroutine problems into their curriculum, this book defines and establishes practical strategies to develop students’ problem-solving skills. The text focuses on the process skills necessary to solve nonroutine problems in mathematics and other subjects, with the goal of making students better problem-solvers both in and outside of the classroom. Chapters present and define a curriculum of over 60 nonroutine problems in mathematics and other content areas, and explore the pedagogy to implement this type of curriculum consistent with the NCTM Standards and Principles to Action. Four different models of implementation are discussed, alongside a structured approach through seven difficulty levels (with examples), to ensure that every student, independent of their mastery of mathematics content, can improve their ability to solve nonroutine problems. It emphasizes to students how to transfer their problem-solving skills to other real-world areas, including increasing ecological awareness, appreciating diversity and addressing significant and meaningful problems in their life, school and community. The curriculum introduced in this book can be included as a component of a traditional four-year academic high school curriculum aligned with the Common Core Mathematical Practices, or as part of a one-year isolated required or elective mathematics course. Based on extensive field-testing this approach has been effective in both traditional mathematics courses and math electives such as a course in Problem-Solving. This book provides the necessary guidance to allow each mathematics teacher to effectively integrate the approach in their classrooms. This book is ideal for secondary mathematics teachers of all levels, as well as teachers of mathematics electives.


Artificial Intelligence in Education

Artificial Intelligence in Education

Author: Ig Ibert Bittencourt

Publisher: Springer Nature

Published: 2020-07-04

Total Pages: 458

ISBN-13: 3030522407

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This two-volume set LNAI 12163 and 12164 constitutes the refereed proceedings of the 21th International Conference on Artificial Intelligence in Education, AIED 2020, held in Ifrane, Morocco, in July 2020.* The 49 full papers presented together with 66 short, 4 industry & innovation, 4 doctoral consortium, and 4 workshop papers were carefully reviewed and selected from 214 submissions. The conference provides opportunities for the cross-fertilization of approaches, techniques and ideas from the many fields that comprise AIED, including computer science, cognitive and learning sciences, education, game design, psychology, sociology, linguistics as well as many domain-specific areas. ​*The conference was held virtually due to the COVID-19 pandemic.


Teaching 6-12 Math Intervention

Teaching 6-12 Math Intervention

Author: Juliana Tapper

Publisher: Taylor & Francis

Published: 2024-12-30

Total Pages: 188

ISBN-13: 1040263895

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This practical resource offers a classroom-tested framework for secondary math teachers to support students who struggle. Teachers will explore an often-overlooked piece of the math achievement puzzle: the gatekeeping cycles of mathematics and the importance of teachers' own expectations of students. The immediately applicable strategies in this book, developed through the author’s work as a math intervention teacher, intervention specialist, and instructional coach, will give teachers the tools to help students overcome math anxiety, retention struggles, and even apathy. Beginning with a deep dive into the gatekeeping cycles to help teachers better understand their students who struggle, the book then walks teachers through the five-part B.R.E.A.K. itTM Math Intervention Framework: Build Community, Routines to Boost Confidence, Engage Every Student, Advance Your Expectations, Know Students’ Level of Understanding. Educational research, personal anecdotes from the author’s own classroom, and examples from case study teachers are woven into each chapter, leading to clear action items, planning strategies, and best practices that are accessible enough to accommodate all grade levels and schedules. The framework and activities in this book enable teachers to help students overcome math anxiety, create a safe math environment for 6–12 students, and ultimately increase achievement with effective research-based suggestions for working with students who struggle. Find additional resources at www.gatebreakerbook.com.


There Is No One Way to Teach Math

There Is No One Way to Teach Math

Author: Henri Picciotto

Publisher: Taylor & Francis

Published: 2024-09-10

Total Pages: 233

ISBN-13: 1040109403

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A collaboration between a seasoned math teacher and a research mathematician, this resource offers balanced instructional ideas based on student intellectual engagement and skilled teacher leadership. It is solidly grounded in many areas of classroom practice, but rather than serving as a prescriptive how-to manual, the authors invite reflection and discussion across classrooms and math departments, much in the way you would share ideas in the teachers’ lounge or across the table at a conference. Chapters offer practical suggestions and concrete examples to teachers of grades 6–12 on just about every aspect of the job: manipulatives, technology, lesson planning, group work, classroom discussion, and more. In opposition to the idea of a “one-size-fits-all” curriculum, the authors explain how to integrate teaching techniques: formal and informal, student-centered and teacher-led, experiential and rigorous. Chapters also include vignettes, as well as many links to curricular materials. Ideal for math educators of grades 6–12, this book is both comprehensive in its strategies and sensitive to the complexities of teaching. For these reasons, math departments, coaches, teacher leaders, and faculty at other levels can also easily reference its content where relevant. This book offers multiple entry points for teachers and departments to discuss and enhance their practice, making it essential reading for any math educator or professional development opportunity.


Teaching Middle School Physical Education

Teaching Middle School Physical Education

Author: Michael E. Gosset

Publisher: Taylor & Francis

Published: 2024-07-16

Total Pages: 91

ISBN-13: 1040049222

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This resource supports Middle School Physical Education teachers in promoting healthy activity levels among their students, both in and outside the PE facilities. Its comprehensive curricular approach addresses National Physical Education standards but, unlike traditional curricula, encourages teaching sports and fitness as connected components instead of separate. This book is rooted in the progressive Sport Education model, which facilitates students’ personal growth with the learning of individual and team sports. Fitness programming and cooperative activities are key aspects of this program. Unique to this book is a section detailing what to do if students have not yet learned movement concepts and skills at the elementary level. Each chapter includes a list of key concepts and review questions. A rationale for the Sport Education model, lesson plans, sample assessments, and safety considerations are provided. Sample forms and documents round out the book for a seamless transition from elementary PE to the middle level. Middle School Physical Education teachers and PE administrators will find this classroom-tested curricular approach accessible and easy to implement. As your students undergo psychomotor, cognitive, and affective change throughout the middle-grade years, this book lays out a PE program that not only acknowledges, but celebrates, their development, and improves physical skills while working past any fitness weaknesses.


Teaching and Learning Secondary School Mathematics

Teaching and Learning Secondary School Mathematics

Author: Ann Kajander

Publisher: Springer

Published: 2018-10-24

Total Pages: 681

ISBN-13: 3319923900

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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.


Styles and Strategies for Teaching High School Mathematics

Styles and Strategies for Teaching High School Mathematics

Author: Edward J. Thomas

Publisher: Corwin Press

Published: 2010-08-10

Total Pages: 225

ISBN-13: 1412968356

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One key to raising achievement in mathematics is to recognize that all students have preferred styles of thinking and learning. By rotating teaching strategies, you can reach learners through their preferred styles, as well as challenge students to think in other styles. Styles and Strategies for Teaching High School Mathematics provides a set of powerful, research-based strategies to help high school teachers differentiate mathematics instruction and assessment according to their students' learning styles. Presenting four distinct mathematical learning styles--Mastery, Understanding, Self-Expressive, and Interpersonal--this book offers classroom-tested instructional strategies that can be mixed and matched to reach all learners. Compatible with any curriculum or textbook, the book: - Explains how the strategies address NCTM process standards and students' learning styles - Includes step-by-step directions, examples, and planning considerations for each strategy - Provides reproducible forms for implementing the strategies - Offers variations and ways to adapt each strategy to meet a variety of instructional demands With assessment components woven throughout, this invaluable guide helps high school mathematics teachers effectively reach and teach today's adolescents.


Styles and Strategies for Teaching Middle School Mathematics

Styles and Strategies for Teaching Middle School Mathematics

Author: Edward J. Thomas

Publisher: Corwin Press

Published: 2010-03-30

Total Pages: 209

ISBN-13: 141296833X

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Mathematics teachers face many challenges in today's classrooms, including issues such as higher standards, differentiation, real-world applications, non-routine problem solving, and more. Here, the authors explore which research-based strategies are most effective for delivering math instruction.


Second Handbook of Research on Mathematics Teaching and Learning

Second Handbook of Research on Mathematics Teaching and Learning

Author: Frank K. Lester

Publisher: IAP

Published: 2007-02-01

Total Pages: 1380

ISBN-13: 160752709X

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The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.