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El. knyga: Rough Draft Math: Revising to Learn

4.24/5 (90 ratings by Goodreads)
  • Formatas: 224 pages
  • Išleidimo metai: 10-Oct-2023
  • Leidėjas: Stenhouse Publishers
  • Kalba: eng
  • ISBN-13: 9781003839125
  • Formatas: 224 pages
  • Išleidimo metai: 10-Oct-2023
  • Leidėjas: Stenhouse Publishers
  • Kalba: eng
  • ISBN-13: 9781003839125

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The author explains how teachers can use the idea of rough draft thinking in math, in which students share their unfinished, in-progress ideas and remain open to revising those ideas. She shows teachers how to create classrooms where students have opportunities to learn math by having the freedom to say and write what makes sense to them so they can be challenged to grow in their thinking. Focusing on grades four through 10, she discusses how rough drafts help establish a classroom culture of sense-making, a culture of embracing opportunities to learn from one another's unfinished thinking, and a culture of continually pushing to learn more and more about math together; selecting and using tasks to open up opportunities to develop new understandings students can revisit and revise and communicate to learn; instructional approaches that promote revising in math classrooms; and examples of how secondary teachers have used instructional practices aligned with rough draft math. The book ends with the author’s story of enacting rough draft math in her own teaching practice. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)

Many students, especially as they get older, only share their thinking in math class when they&;re sure they have the right answer. This means that some students hardly talk at all. Yet, talking and writing about in-process and unfinished ideas are vital to learning mathematics. How can we meet this challenge? Amanda (Mandy) Jansen and her collaborating teachers have developed a breakthrough approach: expand the idea of 'rough drafts' to the mathematics classroom.

In Rough Draft Math, Mandy shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they talk to learn through problem-solving rather than talking only to perform right answers. In the process, a class of students becomes a community of mathematical thinkers, and teachers gain access into their students&; ideas and understandings.
Inside you&;ll find the following:
  • an exploration of what the idea of revision could mean for math teaching and learning
  • classroom vignettes to see rough draft math in action
  • specific teaching techniques to encourage and practice rough draft thinking
  • voices of teachers and students in rough draft classrooms
  • Mandy&;s reflections about her own teaching as a work in progress
In Rough Draft Math, Mandy shows how to create a classroom culture in which your students will feel more comfortable expressing their partial understandings and in-process thinking, and then continually revising that thinking as they build deep, conceptual understanding of mathematics.
 
Foreword ix
Dr. Robert Q. Berry
Acknowledgments xiv
A Note to Readers xviii
Chapter One Rough Draft Thinking in Mathematics Classrooms
1(22)
Chapter Two Building a Culture of Rough Draft Thinking
23(33)
Chapter Three Tasks That Provide Opportunities to Communicate to Learn
56(33)
Chapter Four Refining Understanding Through Revising in Math Class
89(40)
Chapter Five Rough Draft Thinking as a Rehumanizing Endeavor
129(28)
Chapter Six Putting "It" into Practice or We Are All Works in Progress
157(32)
References 189(7)
Index 196
Amanda (Mandy) Jansen began her career in mathematics education as a junior high mathematics teacher (grades 7-9) in Mesa, Arizona. Her undergraduate degree is in mathematics, and it is from the University of Arizona in Tucson. She minored in English education. She went on to earn her Ph.D. in educational psychology at Michigan State University in East Lansing. Mandy currently works as a Professor in the School of Education at the University of Delaware where she also has a joint appointment in the Department of Mathematical Sciences. She teaches future elementary and middle school teachers to develop their mathematics knowledge for teaching and their pedagogical practices. Her research addresses adolescent students motivation and engagement in mathematics classrooms, as well as teachers efforts to engage students in learning mathematics.