## 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)*

## Considerations:

- 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

## Resources:

## 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

### Student-Centered Mathematics

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.

### Lesson Model:

Van de Walle Before, During, After lesson model. Check out this video on three part lessons inspired by John Van de Walle's work.

## 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.

Marian Small's Open Questions Series

Good Questions: Great Ways to Differentiate Mathematics is available for both Elementary and Secondary and in both English and French

Peter Sullivan and Pat Lilburn: Good Questions for Math Teaching

Les MATHS par l'image by Marian Small

### Reggio Inspired Practice:

- Janice Novakowski's website - Reggio Inspired Practice

### Effective Questions:

Revised Curriculum: Questions to prompt

### Thinking Classrooms

Peter Liljedahl's website has numerous resources and ideas.

### Problem Solving Tasks

A variety of web resources for problems and rich tasks.

## Gain an understanding of the big ideas through inquiry

### Inquiry Based Instruction:

Marian Small has several resources supporting Inquiry in Mathematics published in both French and English (WNCP for BC Curriculum). These books can be ordered through Rubicon Publishing.

### Galileo Educational Network:

- What is Inquiry?
- Open Investigations for Primary classes
- Open Investigations for Middle School Classrooms
- Open Investigations for High School Students

Andrew Blair is the curator of Inquiry Maths. His UK site includes ideas for both Secondary and Elementary teachers.

Natural Curiosity: Building Children's Understanding of the World Through Environment Inquiry

### Dispositions of Mathematicians

Tracey Zager's website http://tjzager.com/

Stenhouse has also provided a study guide and a companion website for this resource.

### 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.