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R.T.C. 6 
Mathematics 
Conceptualise, plan and implement an appropriate learning programme 
• Articulate clearly the aims of their teaching, give sound professional reasons 
for adopting these aims, and implement them in their practice 
• Through their planning and teaching, demonstrate their knowledge and 
understanding of relevant content, disciplines and curriculum documents 
Cultural Competency for Teachers of Maori Learners: 
• AKO – Takes responsibility for their own learning and that of Maori 
learners 
(Other R.T.Cs my video evidence / other evidence supports are: 
R.T.C 2, R.T.C 7, R.T.C 8 and R.T.C 11)
Pre-Wiring / Expectations and Learning Progressions 
Our class display of the Maths progressions showing ‘Knowledge’ and ‘Strategy’ expectations from Stage 0-1 to 
Stage 4-5. We regularly refer to each Stage expectations and what (Knowledge/Strategy) needs to be learnt 
and used in order to go to a new stage. Movements into new stages or transitioning are ‘celebrated’.
We started using this ‘Appraisal Planner’ for this Target Group in Term 2. This Target Group has: 
• Daily work with Whaea Lesa (Class Teacher and daily practice with Whaea Niki (Teacher Aide) 
• Whaea Lesa reviews each session with Whaea Niki and discuss the ‘Knowledge/Strategy’ practised and retained by these students 
(ie How well have these students retained the Key Idea we are working on?)
Pre-Work 
• ML has been diagnosed as being 
‘globally low’ and is ORs funded 
– his ‘teacher caregiver’ and I 
are continually finding out what 
ML can do! 
• These students are still not 
consistently ‘counting back from 
20 automatically’ 
• Te Are has almost achieved his 
goal of recognizing and 
identifying correctly, all numbers 
from 1-20 but we are working 
on ‘consistent recognition and 
identification’ 
• Students 1 and 3 are able to 
conduct Goal 3 independently 
• Other goals made after this plan 
focused on ‘strategy’ (ie 
‘counting on materials to solve 
addition and subtraction 
problems to 5, then to 10’)
Our ‘Knowledge’ focus development is slow (ie counting back from 20 without Teacher prompting/help), but these 
students are progressing with ‘calculating’ basic facts by mentally counting equipment, developing their recognition 
of small groups of objects and quickly adding or subtracting these groups. This has been accomplished by 
consolidation of patterns of objects (subitizing) to 10.
Which aspects are evident here? 
• Developing ‘imaging’ basic facts of a ‘number’ (6 & 7) to 10 
through ‘patterning-subitizing’ 
**Sorry…my video is too big but follows this power-point 
R.T.C. 6 Aspects – Maths 
R.T.C Key Indicators 
 Articulate clearly the aims of their 
teaching, give sound professional 
reasons for adopting these aims, 
and implement them in their 
practice 
 Through their planning and 
teaching, demonstrate their 
knowledge and understanding of 
relevant content, disciplines and 
curriculum documents 
EPS School Key Tasks - Indicators 
• Recognise and cater for individual 
student’s needs and abilities 
• Use the curriculum documents / 
progressions to monitor learning 
progress and identify learning needs 
of all students in the class 
• Promote student-led learning 
Evidence to Support this: 
• I am able to show evidence of 
differentiated learning in my planning 
• The work of my students (eg in 
exercise books) show evidence that I 
am planning an effective programme 
that is clearly linked to the 
curriculum 
• I have class student learners / peer 
programmes / responsibilities 
• I provide opportunity for students to 
be the teacher and to take active 
roles during group discussions or 
activities
What are the ‘Next Steps?’ 
• Developing imaging to consolidate our ‘Basic Facts’ to 10 
knowledge 
• Recording our basic facts equations (making 8) 
*Sorry…my video is too big but it follows 
this power-point. 
R.T.C. 6 Aspects – Maths 
R.T.C Key Indicators 
 Articulate clearly the aims of their 
teaching, give sound professional 
reasons for adopting these aims, 
and implement them in their 
practice 
 Through their planning and 
teaching, demonstrate their 
knowledge and understanding of 
relevant content, disciplines and 
curriculum documents 
EPS School Key Tasks - Indicators 
• Recognise and cater for individual 
student’s needs and abilities 
• Use the curriculum documents / 
progressions to monitor learning 
progress and identify learning needs 
of all students in the class 
• Promote student-led learning 
Evidence to Support this: 
• I am able to show evidence of 
differentiated learning in my planning 
• The work of my students (eg in 
exercise books) show evidence that I 
am planning an effective programme 
that is clearly linked to the 
curriculum 
• I have class student learners / peer 
programmes / responsibilities 
• I provide opportunity for students to 
be the teacher and to take active 
roles during group discussions or 
activities
Teacher - Inquiry Learning 
Prepare the 
classroom 
environment 
with displays of 
student learning 
including 
learning goals 
Organise 
appropriate 
independent 
activities to 
support learning 
How can I 
accelerate the 
progress of my 
target 
students? 
Refer to 
learning 
intentions 
frequently 
during lessons 
Ensure students 
are able to 
articulate their 
learning 
Encourage 
students to 
discuss 
problems and 
work together 
Our school is participating in School-wide 
Professional Development for 
Mathematics. 
We are unpacking and using Tataiako 
and the R.T.C criterions (infused with 
Edgecumbe Primary School flavour) to 
help teachers action specific learning 
outcomes and progress for all learners, 
especially our Maori or target student 
learners. 
Here is an example of inquiry we are 
using to target ‘Teacher Actions’ in 
terms of uplifting the achievements in 
maths. This example can be used 
across the other curriculum areas. 
Collect a range 
of data to 
closely monitor 
progress and 
needs 
My first ‘Teacher Actions’ inquiry was to 
help my Year 2 students articulate their 
learning in their own words.
Teacher - Inquiry Learning 
My first inquiry for my ‘Teacher Action’ is 
to ‘Ensure students are able to articulate 
their learning’. 
These are the ‘actions’ I am doing to 
follow my own ‘recipe’ for helping my 
Target Students ‘articulate their learning’. 
• Model my learning or strategy I used 
to solve problems after my Target 
Students had a turn first 
• Discuss what some of the words I 
was using meant (eg Solve, joined, 
added, subtracted, thinking) 
• Questions I used were: 
- How did you do that? 
- How did you know to do that? 
- What did you do to solve that 
problem? 
• Statements I used were: 
- I did … 
- First I went… 
- The strategy I used was … 
- I knew … because … 
• I modelled the ‘process’ as I ‘talked 
about what I did’ 
I had to brainstorm how I was going to achieve the 
learning Teacher Action (in the middle). 
I will 
‘model’ my 
learning or 
the strategy 
I am using 
to get my 
answer 
Ensure 
students are 
able to 
articulate 
their 
learning. 
What types of 
questions will 
use to enable 
my students to 
answer 
appropriately 
I model the 
vocabulary I 
want my 
Target 
Students to 
use and 
understand 
? 
I will think again 
and find another 
way to help my 
students say 
what they mean 
I will tell the 
person next to 
me what I did 
and they will 
explain it back 
to me 
This will be an on-going focus for the rest of the year but I will be 
focusing on each of the other aspects at the same time. Time spent 
on each ‘aspect’ will be determined by that particular ‘aspect’
Sources of Evidence of Planning 
• A range of resources are used: 
Planning resources, activity ideas, 
reading material for professional 
development 
Inquiry for 
learning and 
teaching 
Strategy and Knowledge 
expectations for each maths stage 
Numeracy project 
booklets and resources 
Assessment tools 
My Colleagues
• What are the ‘gaps’ in the evidence (video/inquiry planning)? 
• What might ‘You’ do to address any gaps in evidence? 
Gaps in Evidence: 
• Are the ‘outcomes’ focused on the ‘students 
learning’ or are they focused on the ‘teacher’s 
planning’? 
• Where am I getting my ‘sources of information’ 
and resources to help these students ‘uplift their 
achievement’? 
• How have these students progressed from the 
beginning of the year to now? 
• What are my next steps? 
What Might You Do?:

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R.T.C 6 - Inquiry Planning - Maths - What is Evidence?

  • 1. R.T.C. 6 Mathematics Conceptualise, plan and implement an appropriate learning programme • Articulate clearly the aims of their teaching, give sound professional reasons for adopting these aims, and implement them in their practice • Through their planning and teaching, demonstrate their knowledge and understanding of relevant content, disciplines and curriculum documents Cultural Competency for Teachers of Maori Learners: • AKO – Takes responsibility for their own learning and that of Maori learners (Other R.T.Cs my video evidence / other evidence supports are: R.T.C 2, R.T.C 7, R.T.C 8 and R.T.C 11)
  • 2. Pre-Wiring / Expectations and Learning Progressions Our class display of the Maths progressions showing ‘Knowledge’ and ‘Strategy’ expectations from Stage 0-1 to Stage 4-5. We regularly refer to each Stage expectations and what (Knowledge/Strategy) needs to be learnt and used in order to go to a new stage. Movements into new stages or transitioning are ‘celebrated’.
  • 3. We started using this ‘Appraisal Planner’ for this Target Group in Term 2. This Target Group has: • Daily work with Whaea Lesa (Class Teacher and daily practice with Whaea Niki (Teacher Aide) • Whaea Lesa reviews each session with Whaea Niki and discuss the ‘Knowledge/Strategy’ practised and retained by these students (ie How well have these students retained the Key Idea we are working on?)
  • 4. Pre-Work • ML has been diagnosed as being ‘globally low’ and is ORs funded – his ‘teacher caregiver’ and I are continually finding out what ML can do! • These students are still not consistently ‘counting back from 20 automatically’ • Te Are has almost achieved his goal of recognizing and identifying correctly, all numbers from 1-20 but we are working on ‘consistent recognition and identification’ • Students 1 and 3 are able to conduct Goal 3 independently • Other goals made after this plan focused on ‘strategy’ (ie ‘counting on materials to solve addition and subtraction problems to 5, then to 10’)
  • 5. Our ‘Knowledge’ focus development is slow (ie counting back from 20 without Teacher prompting/help), but these students are progressing with ‘calculating’ basic facts by mentally counting equipment, developing their recognition of small groups of objects and quickly adding or subtracting these groups. This has been accomplished by consolidation of patterns of objects (subitizing) to 10.
  • 6. Which aspects are evident here? • Developing ‘imaging’ basic facts of a ‘number’ (6 & 7) to 10 through ‘patterning-subitizing’ **Sorry…my video is too big but follows this power-point R.T.C. 6 Aspects – Maths R.T.C Key Indicators  Articulate clearly the aims of their teaching, give sound professional reasons for adopting these aims, and implement them in their practice  Through their planning and teaching, demonstrate their knowledge and understanding of relevant content, disciplines and curriculum documents EPS School Key Tasks - Indicators • Recognise and cater for individual student’s needs and abilities • Use the curriculum documents / progressions to monitor learning progress and identify learning needs of all students in the class • Promote student-led learning Evidence to Support this: • I am able to show evidence of differentiated learning in my planning • The work of my students (eg in exercise books) show evidence that I am planning an effective programme that is clearly linked to the curriculum • I have class student learners / peer programmes / responsibilities • I provide opportunity for students to be the teacher and to take active roles during group discussions or activities
  • 7. What are the ‘Next Steps?’ • Developing imaging to consolidate our ‘Basic Facts’ to 10 knowledge • Recording our basic facts equations (making 8) *Sorry…my video is too big but it follows this power-point. R.T.C. 6 Aspects – Maths R.T.C Key Indicators  Articulate clearly the aims of their teaching, give sound professional reasons for adopting these aims, and implement them in their practice  Through their planning and teaching, demonstrate their knowledge and understanding of relevant content, disciplines and curriculum documents EPS School Key Tasks - Indicators • Recognise and cater for individual student’s needs and abilities • Use the curriculum documents / progressions to monitor learning progress and identify learning needs of all students in the class • Promote student-led learning Evidence to Support this: • I am able to show evidence of differentiated learning in my planning • The work of my students (eg in exercise books) show evidence that I am planning an effective programme that is clearly linked to the curriculum • I have class student learners / peer programmes / responsibilities • I provide opportunity for students to be the teacher and to take active roles during group discussions or activities
  • 8. Teacher - Inquiry Learning Prepare the classroom environment with displays of student learning including learning goals Organise appropriate independent activities to support learning How can I accelerate the progress of my target students? Refer to learning intentions frequently during lessons Ensure students are able to articulate their learning Encourage students to discuss problems and work together Our school is participating in School-wide Professional Development for Mathematics. We are unpacking and using Tataiako and the R.T.C criterions (infused with Edgecumbe Primary School flavour) to help teachers action specific learning outcomes and progress for all learners, especially our Maori or target student learners. Here is an example of inquiry we are using to target ‘Teacher Actions’ in terms of uplifting the achievements in maths. This example can be used across the other curriculum areas. Collect a range of data to closely monitor progress and needs My first ‘Teacher Actions’ inquiry was to help my Year 2 students articulate their learning in their own words.
  • 9. Teacher - Inquiry Learning My first inquiry for my ‘Teacher Action’ is to ‘Ensure students are able to articulate their learning’. These are the ‘actions’ I am doing to follow my own ‘recipe’ for helping my Target Students ‘articulate their learning’. • Model my learning or strategy I used to solve problems after my Target Students had a turn first • Discuss what some of the words I was using meant (eg Solve, joined, added, subtracted, thinking) • Questions I used were: - How did you do that? - How did you know to do that? - What did you do to solve that problem? • Statements I used were: - I did … - First I went… - The strategy I used was … - I knew … because … • I modelled the ‘process’ as I ‘talked about what I did’ I had to brainstorm how I was going to achieve the learning Teacher Action (in the middle). I will ‘model’ my learning or the strategy I am using to get my answer Ensure students are able to articulate their learning. What types of questions will use to enable my students to answer appropriately I model the vocabulary I want my Target Students to use and understand ? I will think again and find another way to help my students say what they mean I will tell the person next to me what I did and they will explain it back to me This will be an on-going focus for the rest of the year but I will be focusing on each of the other aspects at the same time. Time spent on each ‘aspect’ will be determined by that particular ‘aspect’
  • 10. Sources of Evidence of Planning • A range of resources are used: Planning resources, activity ideas, reading material for professional development Inquiry for learning and teaching Strategy and Knowledge expectations for each maths stage Numeracy project booklets and resources Assessment tools My Colleagues
  • 11. • What are the ‘gaps’ in the evidence (video/inquiry planning)? • What might ‘You’ do to address any gaps in evidence? Gaps in Evidence: • Are the ‘outcomes’ focused on the ‘students learning’ or are they focused on the ‘teacher’s planning’? • Where am I getting my ‘sources of information’ and resources to help these students ‘uplift their achievement’? • How have these students progressed from the beginning of the year to now? • What are my next steps? What Might You Do?: