Mathematics as the science of patterns : making the invisible visible to students through teaching / edited by Patrick M. Jenlink.

Incluye referencias bibliográficas.

Mathematics-the science of patterns : the importance of patterns in teaching and learning mathematics / Patrick M. Jenlink -- Pólya revisited : the development and implementation of a problem-solving self-efficacy instrument with preservice elementary mathematics teachers / James Telese and Jair Aguilar -- 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 -- 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 -- Using visual representations to explore proportional reasoning with future teachers / Sheri Johnson and Rui Kang -- Patterns and relationships within ratio contexts : students' emerging ideas through tables / Sinem Sözen Özdoğan, Didem Akyüz, and Michelle Stephan -- Using worked examples as a scalable practice for teaching fraction magnitude and fraction computation / Kathryn J. deVries, Julie L. Booth, Laura K. Young, Christina A. Barbieri, Emunah Mager Garfield, and Kristie J. Newton -- Expanding a collective zone of proximal development : investigating the potential of zankov's lesson with elementary students analyzing numerical equalities / Åsmund Gjere and Viktor Freiman -- Engaging elementary preservice teachers with high leverage mathematical practices / Asli Ozgun-Koca, Deborah Zopf, and Christopher Nazelli -- Number talks : engaging students in mathematical reasoning / Dawn Marie Woods -- Epilogue: Recognizing the special nature of mathematics knowledge for teaching / Patrick M. Jenlink.