Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.
GPS: Teaching Shapes Inclusively
Samuel Otten, Tiffany J. LaCroix, Faustina Baah, and Rebekah Hanak
Deanna Pecaski McLennan
Developing the Area of a Trapezoid
Agida G. Manizade and Marguerite M. Mason
When calculating the area of a trapezoid, students use a range of problem-solving strategies and measurement concepts.
Bird Boxes Build Content Area Knowledge
Sherri Ann Cianca
Communicating reasoning and constructing models fold nicely into a geometry activity involving the building of nesting boxes.
Improving Student Reasoning in Geometry
Bobson Wong and Larisa Bukalov
Parallel geometry tasks with four levels of complexity involve students in writing and understanding proof.
Capturing Thinking on the Talk Frame
Tutita M. Casa
This instructional tool helps students engage in discussions that foster student reasoning, then settle on correct mathematics.
Informing Practice: Examples as Tools for Constructing Justifications
research matters for teachers
Kristen N. Bieda and Jerilynn Lepak
Research explores how to help students build from, instead of building with, examples when justifying mathematical ideas.
Student-Generated Questions in Mathematics Teaching
Exploring even something as simple as a straight-line graph leads to various mathematical possibilities that students can uncover through their own questions.
Proofs without Words: A Visual Application of Reasoning and Proof
Carol J. Bell
Reasoning and Proof is one of the process standards set forth in NCTM's principles and standards for school mathematics (2000).