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Tuesday, 13 May 2025

New Mathematics Curriculum

Dr Craig Hansen


Addressing Royal Society Te Aparangi report 


Use recommendations to

- improve achievement

- create more equitable learning opportunities


Supporting NZ teachers

Recognise the dedication of NZ teachers and aim to support them further 


Providing Clear Guidance for Teaching

Clarify what and how to teach at each level, to achieve better outcomes for all students


Positive Relationship

experiences, encouraged, see patterns and logic

Poor Relationship

Never had the time or chance to understand 

The teacher spoke too fast, and many in the class were unable to do the task

Parents tried to teach and at times confused students


Need to Foster a Positive Relationship with Maths

Students need to know what they need help with  and what they need to learn next

Students' confidence in teaching maths


Understand Know Do

Why the change? Lifting progress in achievement

The learning that matters!

Progress outcome - Understand Know Do (UKD)

UNDERSTAND - stays the same

Know and Do changes - per curiulum area


UKD

What a great maths lesson should look like, from planning to gaining understanding, to using tasks that students can connect to and be challenged by. Creating Light bulb moments!


Make connections to, and for understanding


Real learning for the real world


Not just maths - connections to the real world


Cultural roots are used to make connections


Students having the chance to say I don't get it


Hurdle - students knowing what they are being asked to do


Making links to storybooks


The student is in the middle of symbols, reasoning, and is in a cycle, engaging with learning

The Purpose Statement is the philosophy/vision/ideology statement that drives the UKD


Structure is the out working of the purpose

Retrieval -

Know describes the meaningful and important mathematical and statistical concepts and procedures through which students develop an understanding of the
big ideas.
Do describes the processes that are fundamental to all mathematical and statistical activities and that underpin students’ learning of the big ideas, concepts, and
procedures.
Understanding describes the deep and enduring mathematical and statistical big ideas students develop over phases 1–5.


Definitions
 Conceptual Understanding 
 Procedural Fluency 
Choosing product - Practise Practise Practise Practise

Connections between the Purpose Statement and the Structure of Mathematics and Statistics

In the mathematics and statistics learning area, students learn about
and appreciate the power of symbolic representation, reasoning, and
abstraction.

Students engage with mathematics and statistics through the exploration of problems, patterns, and trends and appreciate the everyday value of this learning in many areas of their lives.

Throughout their learning, students engage with diverse perspectives as they apply their mathematical and statistical understandings. Learning in mathematics and statistics builds literacy by developing students’ skills in oral and written communication, reasoning, and comprehension. The learning area opens pathways into a wide range of industries that rely on mathematical and statistical knowledge and
reasoning.

Each phase has:
› A progress outcome describing what students understand, know, and can do by the end of the phase
› An introduction to the teaching sequence highlighting how to teach during this particular phase
› A year-by-year teaching sequence highlighting what to teach in the phase, along with teaching considerations for particular aspects of content.

Progress Outcomes - Learning objectives - students' experiences of their learning is at the beginning of each phase

Science of Learning

Phase 2 - 
Page 60

Teaching at our year level

Challenges

  • Gaps from previous years

  • Needing to go to phase 1 to find the thread to plug the gaps

  • Teaching 2-year levels

Benefits

  • Exposure to appropriate learning for their year

  • Tuakana Teina opportunities

  • Ability to move, increases the ceiling - extend through rich tasks.

  • Thinking deeply and working with other to solve meaningful problems

PHASE 2 - Teaching Sequence
Four Components - 
Explicit Teaching
Page 61
I do, we do, you do - Interactive - Carefully Sequences
    Warm Up
    Examples to break down - walking around and pulling together opportunities to teach/reteach
    Connect Maths with links across learning
    Plan Ways to consolidate learning

Positive Relationship with Maths and Stats
    Encourage curiosity - 
    Highlight thinking
    
Rich Tasks
    Plan to explore situations that are realteable
    Meaningful problem- solving and investigation experiences, designed to invoke curiosity and engagement
    
Communication in Maths and Stats 


Celebrating Success and those who ask for help

Unpacking the Sequence


Teaching Sequence Statement (Not the Learning Outcomes)
Teaching Considerations - (Tasks) is the floor low enough, and how can I raise the ceiling to challenge others?) - Pitching within the Year level.

Strand is Number Subtrand is Number structure or Operations. There is a thread for each year level.

Rational Numbers = percentages, decimals, fractions

Over the next 2 years, there should be less discrepancy as the curriculum becomes more consistent 

Identify areas of need and then help students catch up fast.
Be the car on the race track, when pulling into the pit stop, filling in the thread they need for that learning! Not all the gaps, as then in the garage for too long and miss out on current content.

This curriculum is asking teachers to expose students to where they need to be, providing them the opportunity to be at their level. 

He waka he eke noa



In our Phase Groups 
How does the phase move through the stages? 
Operations

Thread = Add and subtract two- and three-digit numbers

Phase 1

During the first year:

  • explore addition facts to 10 and corresponding facts in subtractions, doubles and halves, family of facts

During the second year:

  • recall facts up to 10

  • explore add/sub facts to 20 + double and halves, family of facts

During the third year:

  • recall facts to 20

Phase 2

during Year 4:

  • add/sub 2/3 digit numbers

during Year 5:

  • add/sub whole numbers upr to 10 000

during Year 6:

  • add/ subtract any whole numbers

Phase 3

during Year 7: (disappears/ but is practised with)

  • use estimation to solve calculations 


How to you get students to engage - Enablers

Extenders - Used to challenge students 





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