Engaging the Wider Community in Support of Mathematics Learning

Instructional Design

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Engaging the Wider Community in Support of Mathematics Learning

Mathematics in the Early Years

The Role of Play in Children's Learning of Mathematics

Learning Games

Most Educator Directed

Collaborative Play

Educator Guided

Inquiry

Free Play

Most Childe Directed

Learning Trajectories

"Teaching Student Centres Mathematics"

"Taking Shape"

"What to Look For"

"DREAM TE"

"Erkinson Institute"

"Learning and Teaching Math"

Scope and Sequence of Math Instruction

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

What students know in math predicts reading achievement later in school

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

Early years are important for math development

Myths of Early Mathematics

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

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

Teachers Pay Teachers

Not based on the curriculum or research

Andy vs. Sid

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

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)

Morning Routines: Calendar & Weather

Involves rote learning and are not meaningful to children

Computational Thinking and Coding

Nurturing computational thinking with coding

Unplugged to Tinkering to Making to Remixing

Book: Coding for Young Mathematicians

Unplugged Coding Experiences

Lesson planning for computational thinking and coding.

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

Differentiate the content, process, product, or learning environment

Learning for all

Differentiation

OAME - Lesson Plans For Coding

Computational Thinking

Develops higher order thinking skills

Gathering, Organizing and Analyzing Data

Creating a solution

Systematically and logically structuring procedures

draws on tools and techniques of computing

Problem Solving

Thinking Process

Coding with LYNX

Assessment, Evaluation and Feedback

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

“….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

Internal and External Motivation Loop

Effective and Useful Feedback: Motive, Opportunity, Means

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

Stretch goals with feedback

Self-Regulation Co-Regulation Regulation

Growing Success The Seven Fundamental Principles

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

Language to Probe Students' Thinking

Knowledge and Understanding Application Thinking Comminication

Front-loading of assessment, evaluation and feedback

Triangulated Assessment Data Observation Conversation Products

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

Special Education and Differentiated Instruction

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

Assessment Accommodations

Environmental Accommodations

Instructional Accommodations

Categories of Knowledge and Skills

Executive Function

Attention

Processing Speed

Memory

Visual-Motor Skills

Lannguage

Phonological Processing

A Guide To Effective Instruction

Strand

Grade

Volume of Guide

Learning for All

UDL and DI

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

Accommodations and Modifications

Curriculum, Teaching and Learning

Nurturing The Beauty of Mathematics

Coding

Can Code To Learn

Change of Language in the Curriculum

"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"

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

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

Parent Engagement in Mathematics

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

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

New Ontario Math Curriculum (2020)

High Impact Instructional Practices In Mathematics

Mathematical Processes

Social Emotional Learning

Professional Design of Learning Opportunities

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

Developing Cognitive Self-Regulation

Triangulation of Data

Spiralled Curriculum

Designers of Rich Learning Opportuniites

Digital Tools for Teaching and Learning

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

Virtual Interactive Classrooms

Bitmoji Classrooms

Google Classroom

D2L - Brightspace

Understanding differentiation using digital platforms

Open Middle Math

Padlet

Number talks

Mathigon.org

Edutopia

Storyline Online

empower

Dreambox

Knowledge Hook

Mathology.ca

Nelson Learn At Home

TVO - mPower

TVO Mathify

Whiteboard.fi

Jamboard

Choice Boards

Classic Breakout EDU Digital Games

Toy Theater

Mathies

Games

Project Zero

Knowledge Mobilization

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