Monday, February 24, 2020

Rethinking Mathematics - Developing mathematical inquiry in a learning community - Part 1

This year Rawhiti School will be working with the DMIC programme to accelerate our learners in mathematics.

These are my notes for the first PD session:

  • Why: our work with Manaiakalani has seen an improvement in writing, but there is a need for maths PD to accelerate our students
  • What is DMIC - a pedagogy for mathematics teaching and learning
  • For students, it is just mathematics, no labels.
  • Reflect:
  • What do I think are the reasons some of our students do not achieve in mathematics?
    • relevance in their lives and experience
    • prior knowledge
    • messaging from home/ reports
  • What things do you do to help them?
    • assessment
    • lessons based on gaps identified in PAT
    • finding student interests and align lessons with current inquiry learning
  • Maori Yr 8 achieving @ Lv 4 is 27%, Pasifika students at Yr 8 achieving @ Lv 4 is 24%
  • How confident do you feel about meeting their needs?
    • Reasonably confident, I certainly get them thinking. 
    • I am aware that many still have key gaps
  •  Does our practice get in the way of our students? Deficit theorising of our students
  • Put culture at the centre
  • Why does it matter?
    • The socio-political and economic impact affects students negatively
    • This leads to increased underachievement and inequity in our maths classrooms
  • Recognise that culture and mathematics are intertwined
    • Cultures of Maori, Pasifika are strengths
    • De-silence race in maths which occurs through colour blindness and whiteness
    • Attend to racial ascription: e.g. groups that see themselves as other
    • Look at the status we put on certain students in our class
  • What is DMIC?
    • Connected, rich mathematical thinking and reasoning
    • Proficient use of mathematical practices
    • Inquiry learning within mathematics
    • Social grouping and group worthing problematic activity
    • High expectations and inclusion
    • Culturally sustaining teaching and learning
    • Co-construction teaching, co-constructing learning
  • Role of mentors
    • Co-construction effective pedagogy and improved learning outcomes
    • "Pause"
    • Reflectively examine, explore, and adapt practices
    • Designed to open up the teacher's potential growth in both mathematical and culturally responsive pedagogical practices
  • Setting up the classroom: Senior
    • The class split into halves - each half is seen on alternate days
    • Strength-based social grouping
    • Groups of four, one pen and one book
    • One challenging task (if any student can solve it on their own it is not challenging)
    • Encourage recording and multiple representations
    • What modelling and behaviour expectations are needed prior to learning?
  • One Lesson: Seniors
    • 10 min warm-up
    • 10 min group norms/ launch
      • What is happening in the story? What is it you have to find out?
    • 15 min small group activity
    • 15 min Large group discussion
    • 10 min Making connections to the big idea
  • Planning
    • Big Idea
    • AO
    • Task
    • Possible solutions
    • Possible misconceptions
    • Connect/ generalising 
  • Mathematical Practices
    • These are the things that successful mathematical learners and users do. 
    • Making a claim
    • Developing a mathematical explanation
    • Justifying thinking
    • Construction viable arguments
    • Generalising
    • Representing thinking
  • Launch
    • Focus on the context
    • Ask what is happening in this story? ask others to add or repeat and revoice thinking.
    • Ask so what is it asking us to find out? avoid operation talk
  • Task example: Leitoria is making ule lole for prize giving. Every ule lole has 29 lollies in it, and she needs 15 of them. How many lollies will she need?

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