Number Talks Planning and Discourse

We have set goals around our levels of discourse in the Maths Classroom. We will come back to these at team meetings on September 4th. 

Number Sense with Positive Education

Ximena's Math Story: Story Hui

Talk Moves

Learning Questions:

How can we (teachers) use Talk Moves to generate rich discussion?

How can using Talk Moves (students) improve understanding of Mathematics?

Talk Moves-

What teachers are doing? What students are doing?

Nic: Explain 5 talk moves. Have discussion with group. Everyone has copy of sheet.

Ximena: Number Talk

Introduce progression line

Unpack

What would teachers be doing? What would students be doing?

Select one or two things that you would like to do/ practise before next session. Stretch goal: Can you use these with the kids?

Ulearn Presentation: Developing Mathematical Communities of Inquiry by Nic and Ximena

Nicola and Ximena shared their Ulearn presentation with the staff. 

Parent Evening Planning- Tues 11th Sept and Mon 17th September

We started Tuesday with a reading from Scott and Ximena: 

We begun to plan for our parent evening in our teams. 

Breakdown of evening

Word cloud (Ximena, QR Code or Tiny URL)
When you were at school, what did Maths mean for you? 

Sorting into 4 groups (Suz)

Jude introduction

4 workshop rotation:



In last rotation parents answer question: For your children, what does Maths learning look like at Worser Bay?






Thanks Suz for Pos Ed starter:

We connected to Ranginui and Papatūanuku through our Pos Ed Started today :-)

The Five Ways to Wellbeing will help inspire and motivate your students to:
Connect with Ranginui/Sky Father and Papatūānuku/Earth Mother
Keep Learning about and Māori ancestral knowledge and our New Zealand history
Take Notice of the natural world and everything within it, including ourselves.

Exploration of Mathematical Ideas

PPI: Savouring through capitalising

Share a standout positive experience of yours with someone else. 

In doing so, provide specific detail about the event and how you felt with the aim of generating and reliving that positive experience.
Here are the slides from today's session:

 

Anna and Gillian shared Number Talks Build Numerical Reasoning
Strengthen accuracy, efficiency and flexibility with these mental math and computation strategies
By Sherry D. Parrish

 

We also begun to plan for our parent evening in Week 9: Planning Doc We will have some more time on Tuesday. 

Maths PLD: Talk in the Classroom

 

MATHS Reading Term 3 2018: How to get Students Talking!

Reading presented by John and Carl

Definition of discourse .

……….ways of representing, thinking, talking, agreeing, and disagreeing; the way ideas are exchanged and what the ideas entail; and as being shaped by the tasks in which students engage as well as by the nature of the learning environment. It is not a natural way that children interact and thus has to be modelled and practised.

Garcia goes on to say...

that one way to deepen conceptual understanding is through the communication students have around concepts, strategies, and representations.

Five Teaching Practices for Improving the Quality of Discourse in Mathematics Classrooms

1) Talk moves that engage students in discourse,

2) The art of questioning,

3) Using student thinking to propel discussions,

4) Setting up a supportive environment, and

5) Orchestrating the discourse.

Talk Moves:




Questioning: Questions which promote reasoning might include…..

How did you reach that conclusion?

Does that make sense?

Can you make a model and show that?”

Does that always work?

Is that true for all cases?

Can you think of a counterexample?

How could you prove that.

This discourse helps to extend thinking and engage all learners in discussion around proving an answer is correct.

Questions which promote Problem solving, inventing etc.

What would happen if?

Do you see a pattern?

Can you predict the next one?

What about the last one?

Finally, teachers use questions to


Questions which connect Mathematical ideas….


How does this relate to . . .?

What ideas that we have learned were useful in solving this problem?


Student Thinking Propels Discussion:

Discussion demands that students summarize and synthesize the mathematics they are learning

student thinking is a critical element of mathematical discourse.

misconceptions are made clearer to both teacher and student,

conceptual and procedural knowledge deepens.

Mistakes and misconceptions are considered and enable students to challenge their own thinking and the thinking of others

Environment

Physical, students facing each other

UDL

Emotional, a safe environment where students can challenge each other

The focus is the person who is talking and being listened to.

Orchestrating the Discourse

The teacher like a conductor

Five Practices Model

The Five Practices Model

The teacher’s role is to:

1) anticipate student responses to challenging mathematical tasks;

2) monitor students’ work on and engagement with the tasks;

3) select particular students to present their mathematical work;

4) sequence the student responses that will be displayed in specific order

5) connect different students’ responses and connect the responses to key mathematical ideas.

6) Hold students accountable to their ideas and keep discussion on track.

Modelling the behaviours necessary to make it work

Explicit teaching of the necessary behaviours

Modelling the language, eg. I expect to hear you discussing vertices, faces etc.

Modelland describe how they need to be listening to each other

Use goal setting and reflection for students to track their learning

Make the students do the work

Concluding:

Maths Teachers must decide what to pursue in depth, when and how to attach mathematical notation and language to students’ ideas, when to provide information, when to clarify an issue, when to model, when to lead, and when to let a student struggle with difficulty, and how to encourage each student to participate.

Students that are encouraged to share their thinking and engage in mathematical debates are furthering their own knowledge and challenging misconceptions.

The whole Article

Maths PLD: Overview, 1st July 2018

Imagine you are going to a Maths conference: What are the titles of the workshops you will go to?


We are all working through the Stanford Online Jo Boaler Course: How to teach Math. Here is a summary of what we have implemented so far.

Matariki/ Mahutonga

Tautoru



Autahi



Hunches

We shared some hunches and asked staff to evaluate.

Goals/ Actions from discussion about Jo Boaler Course

Teacher Only Day 1: TED Talks

Welcome back everyone! A new and exciting year for lots of growth and learning...

Today we all had a chance to share a TED-type talk with each other- anything goes under 'Educating for the Future'

Jude started the day with a session called Know thyself and be thyself where we were able to explore our passions in our personal and professional lives and how we can use these in our teams. 

Nicola and Ximena spoke about Number Talks and how this has a big impact on student outcomes. 

Gabrielle spoke to us all about resilience and how we can teach this to our students. 

Susie talked about Positive Purpose, what she has been researching and how she has been focusing on this when working with her students in Tautoru. 

Anna discussed the importance of getting students moving. You can read her notes here.

Cloe spoke about the changes that she has been making, moving away from a traditional way of teaching to a focus on Positive education. She compared this process to Metamorphosis.

Suz shared the learning that she has done with David Keane and how this has helped her to be present in her professional and personal life and the importance of working in Quadrant 2. 

Hayley spoke about ‘Heroic Recovery’ and the benefits of working together to try new things accept challenges and reflect together.

John talked us through the model of the Hero's Journey and how students can relate to the characters. 

Gillian talked about the importance of language. She said, "I spoke about the power of language, looking at both our internal and external language. I looked at the power of the words we think to create our realities and the words we speak to affect those around us. With little words like yet, we can change a statement from one of despair, "I can't do it," to one of hope "I can't do it yet!" The words we speak can change our mindsets and those around us. Let's use our words to make better worlds for ourselves and for our learners!"

Scott shared his thoughts about the Environment and why it is important that our learners take action!

Therese and James  (Masters of Teaching and Learning students) spoke about teachers and people who inspired them connecting this to what kind of teachers they would like to be in the classroom. 

Shona showed us some valuable resources for students for English Language Learners:

Steph shared ideas about communication and how we connect with our parents- not always easy!

Monday 7th August, Maths: Internal Evaluation and intro to Number Talks

The Maths PD links with our Internal Evaluation.

The session involved:
Reading Research Brief: Five “Key Strategies” for Formative Assessment (Dylan Wiliam)
Watching Number Talks Clips by Jo Boaler and Kyle Thain
Looking at Seesaw Maths as a form of formative assessment
We Discussed next steps...

Here are the slides from the meeting (including video links):

As part of our Internal Evaluation, we will be trying new things in Maths and present back on Monday 4th September: 

I have started a Number Talks Crowd Sourced Document. It is full of great resources: