Learning Mathematics Through Inquiry

Learning Mathematics Through Inquiry PDF Author: Raffaella Borasi
Publisher: Heinemann Educational Publishers
ISBN:
Category : Education
Languages : en
Pages : 262

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Book Description
Discusses the learning and teaching of mathematics in light of the recommendations set forth in the National Council of Teachers of Mathematic's standards.

Learning Mathematics Through Inquiry

Learning Mathematics Through Inquiry PDF Author: Raffaella Borasi
Publisher: Heinemann Educational Publishers
ISBN:
Category : Education
Languages : en
Pages : 262

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Book Description
Discusses the learning and teaching of mathematics in light of the recommendations set forth in the National Council of Teachers of Mathematic's standards.

Number Theory Through Inquiry

Number Theory Through Inquiry PDF Author: David C. Marshall
Publisher: American Mathematical Soc.
ISBN: 1470461595
Category : Education
Languages : en
Pages : 140

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Book Description
Number Theory Through Inquiry is an innovative textbook that leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. One goal is to help students develop mathematical thinking skills, particularly, theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for an independent study experience, or for a course designed as an introduction to abstract mathematics. Math or related majors, future teachers, and students or adults interested in exploring mathematical ideas on their own will enjoy Number Theory Through Inquiry. Number theory is the perfect topic for an introduction-to-proofs course. Every college student is familiar with basic properties of numbers, and yet the exploration of those familiar numbers leads us to a rich landscape of ideas. Number Theory Through Inquiry contains a carefully arranged sequence of challenges that lead students to discover ideas about numbers and to discover methods of proof on their own. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors' materials explain the instructional method. This style of instruction gives students a totally different experience compared to a standard lecture course. Here is the effect of this experience: Students learn to think independently: they learn to depend on their own reasoning to determine right from wrong; and they develop the central, important ideas of introductory number theory on their own. From that experience, they learn that they can personally create important ideas, and they develop an attitude of personal reliance and a sense that they can think effectively about difficult problems. These goals are fundamental to the educational enterprise within and beyond mathematics.

Topology Through Inquiry

Topology Through Inquiry PDF Author: Michael Starbird
Publisher: American Mathematical Soc.
ISBN: 1470462613
Category : Education
Languages : en
Pages : 313

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Book Description
Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.

Learning Mathematics Through Inquiry

Learning Mathematics Through Inquiry PDF Author: Raffaella Borasi
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :

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Book Description


Dive Into Inquiry

Dive Into Inquiry PDF Author: Trevor MacKenzie
Publisher: Edtechteam Press
ISBN: 9781945167140
Category :
Languages : en
Pages :

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Book Description
Want to make learning more meaningful in your classroom? Looking to better prepare your students for the world of tomorrow? Keen to help learners create authentic connections to the world around them? Dive into Inquiry beautifully marries the voice and choice of inquiry with the structure and support required to optimise learning for students and get the results educators desire. With Dive into Inquiry you'll gain an understanding of how to best support your learners as they shift from a traditional learning model into the inquiry classroom where student agency is fostered and celebrated each and every day. This book strikes a perfect balance of meaningful pedagogy, touching narrative, helpful processes, original student examples, and rich how-to lesson plans all to get you going on bringing inquiry into your classroom. After reading this book educators will feel equipped to design their own inquiry units in a scaffolded manner that promote a gradual shift of control of learning from the teacher to the learner. Exploring student passions, curiosities, and interests and having these shape essential questions, units of study, and performance tasks are all covered in this powerful book. Learn to keep track of the many inquiry topics in your classroom and have students take ownership over their learning like never before! Trevor MacKenzie provides readers with a strong understanding of the Types of Student Inquiry and proposes a framework that best prepares both educators and learners for sharing the unpacking of curriculum in the classroom as they work together towards co-constructing a strong Free Inquiry unit. Helpful illustrations for in-class use, examples of essential questions from a variety of disciplines, practical goals for making progress in adopting inquiry into your practice, and powerful student learning on display throughout, Dive into Inquiry will energize, inspire, and transform your classroom!

Strengths-Based Teaching and Learning in Mathematics

Strengths-Based Teaching and Learning in Mathematics PDF Author: Beth McCord Kobett
Publisher: Corwin
ISBN: 1544374909
Category : Education
Languages : en
Pages : 273

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Book Description
"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.

Inquiry Strategies for Science and Mathematics Learning

Inquiry Strategies for Science and Mathematics Learning PDF Author: Denise Jarrett
Publisher:
ISBN:
Category : Cognitive learning
Languages : en
Pages : 42

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Book Description


Lines of Inquiry in Mathematical Modelling Research in Education

Lines of Inquiry in Mathematical Modelling Research in Education PDF Author: Gloria Ann Stillman
Publisher: Springer
ISBN: 3030149315
Category : Education
Languages : en
Pages : 259

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Book Description
This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the “balancing act” between developing students’ modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators

Inquiry-Based Learning for Science, Technology, Engineering, and Math (STEM) Programs

Inquiry-Based Learning for Science, Technology, Engineering, and Math (STEM) Programs PDF Author:
Publisher: Emerald Group Publishing
ISBN: 1784418498
Category : Education
Languages : en
Pages : 360

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Book Description
This volume covers the many issues and concepts of how IBL can be applied to STEM programs and serves as a conceptual and practical resource and guide for educators and offers practical examples of IBL in action and diverse strategies on how to implement IBL in different contexts.

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