A Developmentally Sound and Pedagogically Appropriate Approach to Teaching Through (and about) Problem-Solving from Kindergarten to Grade 4

Resources Used

The majority of our time was spent pooling over, consolidating, and organizing material from the following Ontario Ministry of Education documents:

  • The Kindergarten Program, 2016
  • The Ontario Curriculum, Mathematics, K-8, 2005
  • A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 3, Number Sense and Numeration, 2003
  • A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 3, Data Management and Probability, 2007
  • A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 3, Patterning and Algebra, 2007
  • A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 3, Measurement, 2007
  • A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 3, Geometry and Spatial Sense, 2005

(While we also looked at and through the Guides to Effective Instruction for grades 4-6, we focused on the K-3 resources.)

We used several resources to inform our thinking (and from which our resources and activities (which are NOT included herewithin) were planned to derive):

  • Good Questions: Great Ways to Differentiate Mathematics Instruction
    by Marian Small
  • Making Math Meaningful to Canadian Students K-8
    by Marian Small
  • Eyes on Math: A Visual Approach to Teaching Math Concepts
    by Marian Small
  • Big Ideas from Dr. Small Grade K-3: Creating a Comfort Zone for Teaching Mathematics
    by Marian Small
  • Making Math Meaningful
    by Marian Small
  • Number Talks Common Core Edition, Grades K-5: Helping Children Build Mental Math and Computation Strategies
    by Sherry Parrish
  • Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages and Innovative Teaching
    by Jo Boaler
  • 5 Practices for Orchestrating Productive Mathematics Discussions
    by Margaret Schwan Smith and Mary Kay Stein
  • Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction (Volumes I and II)
    by John A. Van de Walle, Karen S. Karp, LouAnn H. Lovin and Jennifer M. Bay-Williams