Mathematical Imagining: A Routine for Secondary Classrooms
Language: English
Published by Stenhouse, 2020
- First Edition
- Softcover
- Used
Seller: killarneybooks, Inagh, Clare, Irelandkillarneybooks
AbeBooks seller since April 20, 2017
Condition: Used - Very good
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Oversized paperback, xix + 234 pages, NOT ex-library. gentle handling wear only, book is clean and bright, with unmarked text, free of inscriptions and stamps, firmly bound. Straight uncreased spine. -- This transformative guide revolutionizes mathematics education by harnessing the untapped power of mental imagery, turning abstract concepts into vivid, personal experiences for secondary students. Christof Weber introduces the "Mathematical Imagining" routine, a pedagogical innovation cultivated over 25 years of teaching and doctoral research. By inviting students to envision and manipulate mathematical scenarios - such as a rolling plastic cup's trajectory - Weber empowers learners to construct, debate, and refine their inner visualizations, fostering deeper comprehension and creativity. The book meticulously balances theory and practice. Part 1 delineates the routine's philosophical underpinnings, facilitation strategies, and criteria for crafting bespoke exercises. Part 2 offers 37 categorized tasks (constructions, problem-solving, reasoning, paradoxes) spanning school mathematics, complete with pedagogical commentary, anticipated student responses, and extension questions. Weber's approach illuminates students' thought processes, democratizes mathematical engagement (especially for "lower-achieving" students), and redefines the teacher's role from instructor to curator of imaginative insights. By internalizing mathematics as a mental adventure, learners transcend mere procedural fluency, developing articulate expression of their imaginal worlds. This handbook isn't merely instructional; it's a manifesto for reimagining math education, urging educators to unlock the imaginative potential dormant in every student. -- Contents: Foreword; Preface to the English Edition; An Invitation into My Classroom; Introduction; Part 1 The Mathematical Imagining Routine: Background and Guidelines 1 What Is the Mathematical Imagining Routine? 2 Implementing the Mathematical Imagining Routine 3 Developing Your Own Exercises in Mathematical Imagining; Part 2 Exercises in Mathematical Imagining: A Collection of Example Tasks 4 About Using the Example Tasks 5 Construction Exercises in Mathematical Imagining 6 Problem-Solving Exercises in Mathematical Imagining 7 Reasoning Exercises in Mathematical Imagining 8 Paradox Exercises in Mathematical Imagining; References; Index.…
Seller Inventory # 011980
- Title
- Mathematical Imagining: A Routine for Secondary Classrooms
- Author
- Christof Weber; John Mason (foreword)
- Publisher
- Stenhouse
- Publication year
- 2020
- Condition
- Very Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1625312776
- ISBN 13
- 9781625312778
- Edition
- 1st Edition
Imagine a plastic cup lying on the floor. Give the cup a nudge so that it begins to roll. What does the path it takes look like? So begins the journey that Christof Weber takes you on in Mathematical Imagining: A Routine for Secondary Classrooms . Along the way, he makes the case that the ability to imagine, manipulate, and explain mathematical images and situations is fundamental to all mathematics and particularly important to higher level study. Most importantly, drawing on years of experiments in his own classroom, Weber shows that mathematical imagining is a skill that can be taught efficiently and effectively. Mathematical Imagining describes an original routine that gives students space and time to imagine a mathematical situation and then revise, discuss, and act upon the mental images they create. You can use this creative routine to glimpse into your students' thinking and discover teaching opportunities, while empowering them to create their own mathematics.Inside you’ll find the following:
- An introduction to the routine including the rationale behind it, facilitation guidance, and classroom examples
- Modifications to implement the routine in your classroom, even with varying time constraints 37 exercises broken into four categories: constructions, problem-solving, reasoning, and paradoxes
- Discussions of the mathematics involved in each exercise, including possible follow-up questions
- Instructions on how to create your own exercises beyond the book
This one-of-a-kind resource is for secondary teachers looking to inspire student creativity and curiosity, deepen their own subject matter knowledge and pedagogical content knowledge, and invite all students to access the power of their own mathematical imaginations.
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killarneybooks
Inagh, Clare, Ireland
AbeBooks seller since April 20, 2017
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All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…
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