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Brickwedde

Student Developmental Progressions in Multiplication and Division

What to Listen and Look for When Working with Grades 3-5 Learners

Medium: Buch
ISBN: 978-1-041-23934-5
Verlag: Taylor & Francis Ltd
Erscheinungstermin: 26.10.2026
vorbestellbar, Erscheinungstermin ca. Oktober 2026

Student Developmental Progressions in Multiplication and Division supports teachers in interpreting elementary students’ thinking and responding instructionally as they learn mathematics over time. Children in grades 3-5 undergo fascinating cognitive shifts as their math lessons grow more complex, but how can teachers prepare to observe and respond instructionally? With decades of experience in Cognitively Guided Instruction, author James Brickwedde provides problem types, emerging strategies, and instructional approaches to help teachers cognitively guide students' transitions within multiplication and division. Each chapter introduces a core mathematical idea alongside a summary and set of reflection questions to extend understanding. Topics include social conventions and language, the properties of operation needed in multiplication and division, strategy progressions, place value as a rate of ten, working with factors of ten, and much more. Ideal for elementary teachers reading together in a professional learning community or book study, this book demystifies students’ maturation from additive to multiplicative thinking and empowers teachers to be more strategic in their decision-making.


Produkteigenschaften


  • Artikelnummer: 9781041239345
  • Medium: Buch
  • ISBN: 978-1-041-23934-5
  • Verlag: Taylor & Francis Ltd
  • Erscheinungstermin: 26.10.2026
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2026
  • Produktform: Kartoniert
  • Seiten: 250
  • Format (B x H): 152 x 229 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Chapter 1: OverviewChapter 2: What Makes Multiplication & Division Distinct from Addition & SubtractionChapter 3: Emerging single-digit strategiesChapter 4: Maturing Cognitive Capacity & Core Algebraic Properties of OperationsChapter 5: Coordination of Units - Unit ConfusionChapter 6: Progression of Multi-Digit Multiplication Abstract StrategiesChapter 7: Early Division StrategiesChapter 8: Progression of Multi-digit Division Abstract StrategiesChapter 9: Place Value as a Rate of TenChapter 10: Arithmetic Through the Lens of AlgebraChapter 11: Learning the Single-Digit CombinationsChapter 12: The Role of the Teacher