How can my instructional approaches create opportunities to uncover the curriculum and build conceptual understanding?
"As teachers from multiple grades levels plan and consistently implement common routines, students will experience a more coherent and better-articulated mathematical experience. In addition, the use of common models such as number lines and Venn diagrams within the routines will improve students' ability to accurately and strategically use these models. (Barnett, Combs, McCoy, High-Yield Routines Grades K-8, 2013, p 3)
- connect curricular competencies with content to understand the big ideas
- build conceptual understanding by exploring, problem-solving, reflecting, connecting, communicating, applying, collaborating
- purposeful teaching with the big ideas in mind
- play with mathematical ideas
- gain an understanding of the big ideas through inquiry
- see ourselves (teachers & students) as mathematicians
Connect curricular competencies with content to understand the big idea
Support Documents on Mathematical Reasoning
Build conceptual understanding by exploring, problem-solving, reflecting, connecting, communicating, applying, collaborating
John Van de Walle's work is foundational for all Mathematics teachers. The student-centered, problem-based approach will help students develop real understanding and confidence in mathematics.
Purposeful teaching with the big ideas in mind
Problems and Rich Tasks:
Dan Finkel, author of Math For Love shares many great ideas. Scroll down on his website and click a particular grade level. Check out the spring issue of Vector for Dan's article on rich tasks, Nine Points on Rich Tasks.
Good Questions: Great Ways to Differentiate Mathematics is available for both Elementary and Secondary and in both English and French
Les MATHS par l'image by Marian Small
Problem Solving Tasks
A variety of web resources for problems and rich tasks.
Gain an understanding of the big ideas through inquiry
Using Children's Literature
Authored by Marilyn Burns and her colleagues, these resources provide lessons that engage children in mathematical problem solving and reasoning connected to children's literature, both fiction and non-fiction. Marilyn Burns has also written a blogpost on this topic.
Comox Valley School District #71 has many lesson ideas connected to children's literature. Once on their home page, click the tab "Lessons and Ideas" and your grade preference.
Read a Story, Explore the Math is a resource written by Sandra Ball and Carole Fullerton that links math instruction to children's literature for Primary teachers.
Kelly Darke curates Math Book Magic, a fantastic website that highlights children's literature books which are connected to mathematics.