Engaging the Wider Community in Support of Mathematics Learning

Understand Designing Aesthetic Experiences in Mathematics, Knowledge Mobilization and Community Engagement

10 Dimensions of Mathematical Education

Mathematical Communications

Activate, Explore, Consolidate

Gradual Release of Responsibility

Co-Constructing Learning

Playful Learning

Choice, Innovation, Collaboration, Knowledge Building

Understanding differentiation using digital platforms

Project Zero

Games

Mathies

Toy Theater

Classic Breakout EDU Digital Games

Choice Boards

Jamboard

Whiteboard.fi

TVO Mathify

TVO - mPower

Nelson Learn At Home

Mathology.ca

Knowledge Hook

Dreambox

empower

Storyline Online

Edutopia

Mathigon.org

Number talks

Padlet

Open Middle Math

Integrating digital learning tools in the regular
classroom for student engagement and support.

D2L - Brightspace

Google Classroom

Bitmoji Classrooms

Virtual Interactive Classrooms

Professional Design of Learning Opportunities

Designers of Rich Learning Opportuniites

Spiralled Curriculum

Triangulation of Data

Developing Cognitive Self-Regulation

Gallery Walk, Math Congress, Anchor Charts, Co-Constructing Success

New Ontario Math Curriculum (2020)

Social Emotional Learning

Mathematical Processes

High Impact Instructional Practices In Mathematics

Parent Engagement in Mathematics

"A Parents Guide to Mathematics" by the Ministry of Education

What do you want the parents of your students to
know?

Nurturing The Beauty of Mathematics

"the aesthetics of mathematics have also motivated the development of new mathematical thinking"

"The beauty in mathematics can be found in the process of deriving elegant and succinct approaches to resolving problems"

"Most important, the beauty of mathematics is experienced when exciting breakthroughs in problem solving are made and an air of relief and awe is enjoyed"

Change of Language in the Curriculum

Coding

Can Code To Learn

Learning for All

Accommodations and Modifications

Categories of Exceptionalities
- Behaviour
- Communication
- Intelectual
- Physical
- Multiple

UDL and DI

A Guide To Effective Instruction

Volume of Guide

Grade

Strand

Categories of Knowledge and Skills

Phonological Processing

Lannguage

Visual-Motor Skills

Memory

Processing Speed

Attention

Executive Function

Understand the profile of students with learning disabilities and the role of effective teaching strategies to plan for success.

Instructional Accommodations

Environmental Accommodations

Assessment Accommodations

Understanding the manner in which teachers support self-regulated learning

“Only through the continual and sympathetic observations of a child’s interests can the adult enter into the child’s life and see what it is ready for, and upon what material it could work for most readily and fruitfully” - John Dewey, My Pedagogic Creed, 1929

Front-loading of assessment, evaluation and feedback

Triangulated Assessment Data
Observation
Conversation
Products

Effective planning for assessment, evaluation and feedback for students to nurture the beauty of mathematics.

Knowledge and Understanding
Application
Thinking
Comminication

Language to Probe Students' Thinking

The role of feedback in self-regulation and social-emotional learning in math.

Growing Success
The Seven Fundamental Principles

Self-Regulation
Co-Regulation
Regulation

Stretch goals with feedback

Moderated practice of evaluating student work, grading and justifying rationale for feedback to students.

Effective and Useful Feedback: Motive, Opportunity, Means

Internal and External Motivation Loop

“….telling a learner if they are right or wrong is not good enough. To an engineer, this would be nonsense. Tantamount to installing a thermostat but forgetting to connect it to the furnace.” Dylan Wiliam – 2012

Coding with LYNX

Computational Thinking

Thinking Process

Problem Solving

draws on tools and techniques of computing

Systematically and logically structuring procedures

Creating a solution

Gathering, Organizing and Analyzing Data

Develops higher order thinking skills

Lesson planning for computational thinking and coding.

OAME - Lesson Plans For Coding

Differentiation

Learning for all

Differentiate the content, process, product, or learning environment

Focus on thinking
Meaningful Feedback
Problem Solving
Do not OVER Scaffold
Ask Questions
Open Ended Quesitons

Nurturing computational thinking with coding

Unplugged Coding Experiences

Book: Coding for Young Mathematicians

Unplugged to Tinkering to Making to Remixing

Myths of Early Mathematics

Morning Routines: Calendar & Weather

Involves rote learning and are not meaningful to children

When do I teach when the kids are playing all the time?

"A Kindergarten without substantial playtime puts everyone at a disadvantage, for play is the primary reality for its members. Play contains the only set of circumstances children understand from beginning to end. 'I can do well,' the kindergarteners seem to say." (Paley, 2009)

Andy vs. Sid

Toys do not need to be perfect. Students can build their own toys and manipulatives based on their need (like Sid)

Teachers Pay Teachers

Not based on the curriculum or research

I Don't Have Anything for this Students In Belonging & Contributing

Create interactive experiences for students so that everyone takes part in the activity

Scope and Sequence of Math Instruction

Early years are important for math development

What students know in kindergarten and grade 1 predicts math achievement for future years

What students know in math predicts reading achievement later in school

Pedagological Approaches:
- Responsive relationships
- Learning through exploration, play, and inquiry
- Educators as co-learners
- Environment as third teacher
- Pedagogical documentation
- Reflective practice and collaborative inquiry
- Direct, explicit instruction

Learning Trajectories

"Learning and Teaching Math"

"Erkinson Institute"

"DREAM TE"

"What to Look For"

"Taking Shape"

"Teaching Student Centres Mathematics"

The Role of Play in Children's Learning of Mathematics

Free Play

Most Childe Directed

Inquiry

Collaborative Play

Educator Guided

Playful Learning

Learning Games

Most Educator Directed