Embedded Files
"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:
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:
Resources:
Connect curricular competencies with content to understand the big idea
Connect curricular competencies with content to understand the big idea
Supporting Documents on Mathematical Reasoning
Supporting Documents on Mathematical Reasoning
LNSPayingAttention.pdfProportionReason.pdfAssessment through curricular competencies
Assessment through curricular competencies
k-5-Assessment-through-curricular-competencies-poster-.pdfDocument developed by the Island Numeracy Association (K-5)
Assessment through curricular competencies poster 6-9 draft.pdfDocument developed by the Island Numeracy Association (6-9)
Build conceptual understanding by exploring, problem-solving, reflecting, connecting, communicating, applying, collaborating
Build conceptual understanding by exploring, problem-solving, reflecting, connecting, communicating, applying, collaborating
Student-Centered Mathematics
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:
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.
There are others in this series including K -2, and Grades 6 -8.
Mathematics Learning Progressions
Purposeful teaching with the big ideas in mind
Purposeful teaching with the big ideas in mind
Problems and rich tasks that address the big ideas:
Problems and rich tasks that address the big ideas:
Marion Small's Open Question Series
Les MATHS par l'image by Marian Small
Good Questions Series: available in both Elementary and Secondary
This series is also available in French
Peter Sullivan and Pat Lilburn: Good Questions for Math Teaching (Grades 5-8)
Grades K-6
Rich Tasks DF Vector Spring 2018.pdfDan Finkel's article for the BCAMT publication Vector: "Nine Points on Rich Math Tasks"
Assessment through Curricular Competencies_Math.pdfEffective Questions
Effective Questions
Revised Curriculum: Questions to prompt
Ontario Capacity Series: Asking Effective Questions
Galileo Education Network: Effective Questions
Rich Tasks and Problems.docxProblem Solving Tasks
Problem Solving Tasks
A variety of web resources for problems and rich tasks.
Thinking Classrooms
Thinking Classrooms
Peter Liljedahl's website has numerous resources and ideas.
Building-Thinking-Classrooms-Feb-14-20151.pdfPeter Liljedahl describes the background to his concept of a thinking classroom and the research that supports it.
An example of a thinking classroom in action!
Reggio Inspired Practice:
Reggio Inspired Practice:
Janice Novakowski's website - Reggio Inspired Practice
Play with mathematical ideas
Play with mathematical ideas
Dan Finkel
Dan Finkel
Dan explores many ways to play with mathematical ideas on his website "Math 4 Love" through lessons, games, and video resources.
Gain an understanding of the big ideas through inquiry
Gain an understanding of the big ideas through inquiry
Inquiry Based Instruction:
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.
Andrew Blair is the curator of Inquiry Maths. His UK site includes ideas for both Secondary and Elementary teachers.
Open Investigations for Primary classes
Open Investigations for Middle School Classrooms
Open Investigations for High School Students
Natural Curiosity: Building Children's Understanding of the World Through Environment Inquiry
Mindset Mathematics (series Grades 3-8)
Mindset Mathematics (series Grades 3-8)
Each resource offers a collection of low floor, high ceiling tasks around big ideas that help students make connections with math concepts through visualization, play and investigation (leveled by Common Core grade levels).
Jo Boaler - Enquiry Based Learning for Mathematics
Jo Boaler - Enquiry Based Learning for Mathematics
Professor Jo Boaler works with secondary school students in the inQbate at the University of Sussex using Inquiry Based Learning methods for mathematics.
Creativity in Mathematics: Inquiry - Based Learning and the Moore Method
Creativity in Mathematics: Inquiry - Based Learning and the Moore Method
Explores the world of Inquiry-Based Learning and seeks to identify the reasons behind its celebrated success.
Enquiry-Based Learning in the Primary Classroom
Enquiry-Based Learning in the Primary Classroom
Webinar
See ourselves (teachers and students) as mathematicians
See ourselves (teachers and students) as mathematicians
Dispositions of Mathematicians
Dispositions of Mathematicians
Tracey Zager has organized her book "Becoming the Math Teacher You Wish You'd Had" into descriptions of what mathematicians do (ie. mathematicians take risks and make mistakes) and what this looks like for students.
Other related resources:
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
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.
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.
Google Sites
Report abuse