- Collaborative inquiry conducted by teachers from three different schools
- Deepen understanding of developmental continua and how to use them to be responsive to student needs
- Use one of the developmental continua to develop questions and tasks to support student learning
- Increase teacher efficacy (by noticing and naming the math)
- Deepen our understanding of how to address student needs
Team Members
David Tran
Peel District School Board
Alwin Cheng
Peel District School Board
Shareen Engalla
Peel District School Board
Amanda Wang
Peel District School Board
Cathy Calvano
Peel District School Board
Kiran Pothula
Peel District School Board
Professional Learning Goals
- Explored various developmental continua (e.g., PRIME, Lawson’s, Fosnot, etc.)
- Used developmental continua to address students’ misconceptions
- Learned to notice and name the math by anticipating possible misconceptions
- Developed good questions to target learning
Activities and Resources
- Explored the developmental continua (e.g., PRIME, Lawson’s, Fosnot, etc.)
- Developed a framework to use developmental continua to inform our teaching and look for gaps in learning
- Created questions and tasks to guide student learning through context, inquiries and problem-based situations
- Developed a framework for assessment of student learning, gathering evidence through triangulation of data
- Examined student work
- Used technology to differentiate for the needs of all learners in the classroom (e.g., virtual manipulatives, apps, Dash/robots)
- Snap cubes, number lines, fraction circles, base ten blocks, play money, counters
Unexpected Challenges
- Additional time is needed to meet and debrief
- Changes to participants on the project (e.g., sick leave)
- Challenging to change parents’ perception of student learning and an understanding of how to help their children at home (difficult to move math worksheet)
Enhancing Student Learning and Development
- Students took ownership of their learning
- Development of computation fluency through conceptual understanding (e.g., Number talks)
- Reduce stigma/fear around multiplication
- Increase student efficacy by providing “scaffolding” questions
- Students are more willing to take risk – developing a growth mindset given the openness of questions
- Easy to scaffold to meet student needs
- Easier to address student needs given the framework
- Use games to build fluency and facts
- Use word problems to contextualize the math
- Students are using multiple representations to show deeper understanding of concepts (e.g., using manipulatives, open number lines, visual representations, number sentences, concrete, abstract, etc.)
- The framework benefited students in risk – clear learning trajectory for students and direct intervention
Sharing
- Share with colleagues at staff meetings
- Share with colleagues during Professional Learning Day
- Share with cross board Professional Learning Community
- Share with colleagues at a Math Network
- Share with colleagues at the EML Conference in PDSB
Project Evaluation
- Collaboration (cross school and working with our instructional coaches) allows for the exchange of ideas
- The planning and collaboration allows the deprivatization of practice and sharing of resources
- This opportunity allows teachers to learn new ways to teach mathematics
- Improvement in student achievement
- The framework is helpful in planning
- Teachers have a better understanding of possible misconceptions of the math
- Teachers are engaged – self-directed collaborative inquiries
- Change in assessment practices (e.g., triangulation of evidence)
Resources Used
Lawson, Alex. What to Look for: Understanding and Developing Student Thinking in Early Numeracy. Pearson Canada Inc., 2016.
Small, Marian. PRIME (Professional Resources and Instruction for Mathematics Educators): Number and Operations Strand Kit. Nelson Thomson, 2005.
SanGiovanni, John. Mine the Gap for Mathematical Understanding: Common Holes and Misconceptions and What to Do about Them, Grades 3-5. Corwin, A SAGE Company, 2017.
Smith, Nanci N. Every Math Learner: a Doable Approach to Teaching with Learning Differences in Mind, Grades K-5. Corwin, A SAGE Company, 2017.
Fosnot, Catherine Twomey, et al. Contexts of Learning Mathematics – Multiplication and Division. Heinemann, 2007.
Resources Created
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