Mathematics as the science of patterns : making the invisible visible to students through teaching

• Other Authors: Jenlink, Patrick M. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Bingley, U.K : Emerald Publishing Limited : Information Age Publishing, Inc., [2022]
• Subjects: Mathematics > Study and teaching (Elementary); Teaching > Methodology.; Pattern perception.; Education > Teaching > Subjects > Mathematics.; Teaching of a specific subject.; Teaching of reading, writing and numeracy.; Educational: Mathematics and numeracy.; elektronické knihy; electronic books
• ISBN: 9781806603336
• DOI: 10.1108/978-1-64802-746-8
• Physical Description: 1 online resource (266 pages)

"Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics te...

Table of Contents:

• Preface
• Acknowledgments
• Chapter 1. Mathematics--the science of patterns: The importance of patterns in teaching and learning mathematics / Patrick M. Jenlink
• Chapter 2. Pólya revisited: The development and implementation of a problem-solving self-efficacy instrument with preservice elementary mathematics teachers / James Telese and Jair J. Aguilar
• Chapter 3. What should we teach in elementary mathematics methods courses? The argument for core pedagogical content knowledge in k-5 mathematics teacher preparation / Courtney Glavich Mayakis and John Williams
• Chapter 4. Effectiveness of diagnostic interviews: Preservice teachers' patterns of conceptions in student understanding of number and operation / Diana L. Moss, Lisa L. Poling, and Tracy Goodson-Epsy
• Chapter 5. Using visual representations to explore proportional reasoning with future teachers / Sheri Johnson and Rui Kang
• Chapter 6. Patterns and relationships within ratio contexts: Students' emerging ideas through tables / Sinem Sözen Özdoğan, Didem Akyüz, and Michelle Stephan
• Chapter 7. Using worked examples as a scalable practice for teaching fraction magnitude and fraction computation / Kathryn J. deVries, Julie L. Booth, Laura K. Young, Christina Areizaga Barbieri, Emunah Mager Garfield, and Kristie J. Newton
• Chapter 8. Expanding a collective zone of proximal development: Investigating the potential of zankov's lesson with elementary students analyzing numerical equalities / Åsmund Gjære and Viktor Freiman
• Chapter 9. Engaging elementary preservice teachers with high leverage mathematical practices / Christopher Nazelli, Deborah Zopf, and S. Asil Özgün-Koca
• Chapter 10. Number talks: Engaging students in mathematical reasoning / Dawn Marie Woods. Epilogue: Recognizing the Special Nature of Mathematics Knowledge for Teaching / Patrick M. Jenlink. About the Editor and Authors.