MOE Maths PLD - Day 4

 Purposeful Investigations and Problem Solving

QUICKLINKS

6 Top tips for problem solving and investigation

At least 3 times per week
Rich tasks
non-routine tasks

Use non examples
Freyer Model (Jo Boaler) MOE example

Relatable Situations 
UN sustainable goals https://www.gapminder.org/
Photos and videos to tie in/investigate data etc.

Mixed ability groups

Actively listen - teach the skills

Prompt cards from Tāhurangi

Talk moves cards - Laura Hunte

Accessible and Challenging

Low floor, high ceiling (eg make 24)

Are they as barrier-free as possible?

Enablers - for those who have gaps/aren't there yet. Lots of scaffolding

Extenders - deepen understanding rather than skip too far ahead.

Plan for Decoding and Comprehension of Text

Students need to have the vocabulary and knowledge to comprehend the question.

Can you revoice/retell this problem?

Can you turn it into a story?

DMIC talk moves

Suggestion from the Ministry - do not highlight words (not sure why??)

Explicitly teach a Structured Approach

Tech follows a design process, so should maths!

Rob Profitt-White version of MOE Maths investigator poster

Explicit teaching  involves structure, interactive approaches, practice, visual supports, reduces cognitive load. 

Accelerated Learning

Formative Assessment

Misconception - whole class teaching

Te Tūāpapa - targeted approaches to accelerate learning

Acceleration is NOT teaching a child next year up mahi! This is a diservice, they don't have the depth of understanding.

Assessment practices

• Notice recognise, respond. Am I recognising gaps? 
• Consider assessment typers and purpose
• Don't wait for school-wide data!
• On-going monitoring and adjusting

PolyPad Mathematical Playground 

What can you do in 10minutes?

Front loading - pre-teach essential skills. Unpack critical vocab - Freyer model.

Build efficacy - Develop growth mindset, strengthen mathematical identity.

Scaffolding - decoding, making connections, modelling, build memory and resilience. 

Generate thinking - success starters, authentic and engaging tasks, estimations and justifications. 

Statistics

What do you notice? What's present/absent? What do we wonder? 

Stats focuses on data and uncertainty

Collect, organise, and interpret data in context. How does Statistical thinking support informed decision making?

Great Stats sites

Tips for teaching stats

Focus on versatile graphs like dot plots and bar graphs.

Teach students to read scales with various increments

Use real data and meaningful contexts

Pie graphs - read them but don't create them

Spend more time on interpreting data rather than graphing manually

Interesting to note - 

Progress markers are the overview - what the child needs to know in order to move on to the next year level.

The person who write these is not the person who wrote the curriculum statements.