Improving Teacher Practice and Accelerating Student Learning in Mathematics (TAI 2023 presentation at Burst & Bubbles)

Since 2021, my inquiry focus has been on improving teacher practice and raising student achievement  in Mathematics. Over the past years, the Maths achievement data has been consistently concerning across many Manaiakalani schools at all year levels. Furthermore, the issue of students underperforming in math has captured national attention.

At the start of the year, I discovered that almost 90% of our new Y3 students were working below and well below their expected levels in mathematics. Their Term 1 PAT results confirmed the data I collected during other summative and formative assessments. This group of students became my target group, or I prefer to call them my control group, as I always strive to deliver the best teaching to all students. 

After analysing the school-wide T1 PAT results, I engaged in several professional conversations with my school leaders and teachers. We decided to adopt a more data-informed approach and redesigned and restructured our maths programmes across all year levels. We ensured a well-rounded focus on both Number and Strand, employing an integrated curriculum and fostering student agency.

I’ve been actively involved in supporting my school and other COL teachers by working on understanding various assessments, analyzing and using data for more effective planning. 

I've supported a number of teachers and teams by discussing and collaboratively reviewing their maths programmes, by selecting the best resources for teaching different concepts, compiling and sharing practical resources, for example, maths-integrated Matariki resources for L1 to 4 of the curriculum, by observing lessons, providing feedback, unpacking it and planning next steps. 

To share my expertise and passion for this subject, I provided in-class support by both modeling and co-teaching maths lessons.

This year, I’ve had the privilege of working as part of the Maths design group, with the goal of launching a new maths PLD program next year. I've already volunteered to pilot this program in Term 1. I really hope that this new Manaiakalani initiative will support our teachers in growing their capability and love for teaching mathematics.

To conclude my presentation, I’d like to share the end-of-year Maths PAT results of my targeted Year 3 cohort (Y3 learners in my class achieved 18.6 gain).  We filtered the data analysis by "same students only" to compare apples to apples. The group achieved a gain of 17 points, compared to the national average of 9.2. This difference translates to nearly 2 years of progress and means that, with my team, we successfully accelerated their learning in Mathematics.

AS COL support provided in 2023 (with a focus on Maths)

This year, I have been privileged to support and collaborate with the broader Manaikalani community to enhance teacher practice in Maths. This included working with individual teachers, teaching teams across Y1-8, COL colleagues, school and Kahui Ako leaders, and the Maths Design Group. I also provided support for our RTLB colleagues.

Here is a snapshot of my AS COL support:

      

Team Feedback on Maths Programme and Team collaboration this year

This year, I've had the privilege of leading a team of five enthusiastic Y3-6 teachers. It has been an interesting and sometimes challenging experience with a lot of changes: we welcomed some new team members who felt more comfortable teaching literacy than maths. I heard them say, 'I am not a maths person,' multiple times. Furthermore, most of our team had to learn the curriculum for new year levels they hadn't taught before.

Thinking of the wisdom of the famous saying, "Tell me and I forget, teach me and I may remember, involve me and I learn," we involved our newbies in team planning. I believed that involvement and shared responsibility would be the keys to transforming their perception of teaching Math.

I have been always available to model, co-teach, observe, explain maths progressions and resources, help with assessments, etc. Two of my team members had never planned for Year 5-6 maths (Level 3). I supported them by initially planning for those stages at the beginning of the year, gradually passing these responsibilities to them as they developed more knowledge and confidence.

Throughout the year, I observed the need for a universal planning template. So, in Term 3, a new universal planning design emerged, simplifying the planning process and enhancing our teaching and providing consistent learning experiences across our classes. You can read about our planning here.

Last week, I collected feedback from my team, seeking their insights and perspectives on our collaboration, teacher capabilities in maths and areas for improvement as we always strive to provide the best for our learners. Some findings are below:

Did collaborative planning help you deepen your knowledge of the maths curriculum and better understand progressions (stages)?

Teacher #1: Yes- I think the strength comes from different perspectives and how everyone approached the planning of the math curriculum. Elena led the team effectively, ensuring each member knew which progression they were planning while always providing support. This helped us grow stronger in planning, understanding the Maths curriculum and progressions, and how to teach Maths effectively.

Teacher #2: Yes, with having to plan all different stages it deepened my knowledge of the progressions as well as the maths curriculum. I was able to look at what my team had planned which allowed me to have access to more resources. As I had come from teaching year 3 & 4 I had never planned stage 6-7 before which at the beginning of the year I found challenging. With Elena's support and using my team's planning, I was able to gain a deeper understanding of what these stages looked like for all different strands etc.

Teacher #3: I think for me personally (as a fairly inexperienced maths teacher), planning my own lessons has allowed me to deepen my understanding of individual stages one at a time. If I was to have planned for all stages at the same time, I would have likely become overwhelmed. I now feel more successful and confident in teaching maths.

Did team planning help you feel more comfortable and confident when teaching maths?

Teacher #1: Yes! I love that I can bounce ideas off from my colleagues and that I can ask for advice in a safe space. 

Teacher #2: I love the evolution of how the planning templates have developed. Elena was mindful to support her team (most of whom were relatively new to teaching) and as such the planning templates helped to scaffold understanding of concepts and delivery. Even for someone with experience like me, I found them so useful! 

Teacher #3: Absolutely. Now I feel so much more confident teaching maths, I really enjoy working with Elena, Team Kea and using our planning format.

Teacher #4:  Yes, it was great to use the same structured format and also have others' planning as an example when completing my own planning. 

What do you like about our collaborative maths planning and the changes that we made this year?

Teacher #1: As a newbie! I love it, it made planning ahead so much easier and you can find planning and tailor it to suit the needs of our kids. 

Teacher #2: At the beginning, when we started teaching from each other's plans, I found that different teachers’ plans varied to some extent and I found different planning layouts confusing. However after Elena suggested the new planning format and explained it to us, I better understood how to plan for a good maths programme. I loved our Term 4 strand planning idea, I found it extremely helpful having the resource bank of plans that we can use and to slot it into our own classroom programs when needed. 

Teacher #3: I love to plan on the slides, it’s interactive and it is visually appealing. It was great to have  same expectations across classes and maths stages. We also often reflect back on what worked well and what didn’t, which helps improve our maths planning and teaching (since we learn from our mistakes).

Teacher #4: I felt like the pressure of planning was reduced by a significant amount. I wasn't spending all weekend finding/ creating resources and lesson plans. Now with our planning, we are able to put more thought into our lessons and explicitly teach. I find that our learners are getting more out of each lesson and the design is easy for them and the teacher to follow. When I had my student teacher in class, she commented on how easy she found our template and how she found it easy to follow other teachers' planning. 

As a team, we also reflected on the implementation of Maths Matrices to empower our students. 

All of us witnessed the positive impact they've had on empowering our students and engaging our students' whanau. This experience has reinforced our commitment to continue using Maths Matrices next year and beyond.

Monitoring the Effects: Term 3 e-asTTle Comparison Reports (Maths)

In this post, I'd like to share two e-asTTle comparison reports based on the latest assessment conducted in September by my Year 3 and 4 students. I have nine Year 4 students in my class but only two of them didn't sit this test due to their overall learning difficulties (they focus on their IEP goals). There is no e-asttle data available for Year 3 students from other schools.

Using the concept of repeated measures, I've been tracking my students' progress in maths and sharing their results with both them and their whanau. We looked at their individual reports to set up new goals and to see how far they've come and how much they've grown. It was a great opportunity for my learners to talk about their successes and next steps during our end of Term 3 Tamariki Korero. 

Report #1.  How are my students doing compared to students in ALL other NZ schools?

Report #2.  How are my students doing compared to students in SIMILAR schools (low decile)?

E-asTTle offers a range of individual and group reports that I've been using as formative and summative assessments to guide my students toward their learning success. Along with other assessments, I use e-asttle to keep a close eye on student progress and needs and to make teaching adjustments as needed. 

Next year, I will administer the same test at the beginning of Term 1 and then each term to collect data for e-asTTle progress reports and to compare them with PAT results (out of my personal curiosity).

Optimising Maths Programme: a comprehensive Weekly and Daily Planning Approach.

As we're approaching the end of term 3, I'd like to share my team's innovative weekly and daily planning format, designed to make our maths program transparent to all stakeholders: teachers, relievers, students and whanau. Through collaborative efforts with my team, we've refined our approach to create engaging learning experiences that are visible, accessible, rewindable, practical and efficient. Explore our format, complete with built-in formative assessments and easily accessible teaching and  learning resources. Our planning promotes academic growth while enhancing teacher capability and subject knowledge, nurturing student agency and strengthening connections with whanau.

The structure of the weekly and daily planning has been working well for our year 3-6 classes. Students are seen twice a week with a flow of purposeful activities to practice new concepts and maintain their maths knowledge.

Built-in assessments. Using ARBS, ixl.com (but it can be any math program, including StudyLadder, Splash Maths, etc), book tasks and Figure Me Out activities, teachers are collecting rich evidence of student progress and identifying their next steps - built-in formative assessment for learning.

This structure also allows for visible, accessible and rewindable learning. From my own experience, the students who were absent from school used this planning to continue learning and work on the same topics as the students at school. I only had to do a couple of quick workshops to support them when they returned.

Revision and review. This planning helps to review and revisit the topics when students are working independently on their own maths goals (self-reflection and teacher feedback)

Reliever-friendly. Relievers were also able to pick up this plan and continue to teach according to the weekly plan with limited learning interruptions.

Whanau feedback is also positive. Parents have commented that they know exactly what the kids are learning, and, according to some parents, this format has helped them better understand their child's math education (which was an interesting comment).

Planning explained:

Causal Chain - Improving Teacher Practice and Student Outcomes in Mathematics

I've thought through my Causal Chain to identify the specifics of my inquiry and gain a deeper understanding of how I've been supporting teachers and improving student achievement. 

I'm very excited to be part of the Manaiakalani Maths design group. It's been amazing to experience the team's passionate commitment, deep knowledge and inspiring energy. I eagerly anticipate our continued collaboration and the transformation of our ideas into a practical PLD led by the research team - the PLD  that will truly make a difference for our teachers and learners. 

Research Article: The Importance of Visual Mathematics for our Brain and Learning by Jo Boaler

This research paper caught my attention when I read a couple of the first paragraphs..."a common belief in education (is) that visual mathematics is for lower level work, and for struggling or younger students, and that students should only work visually as a prelude to more advanced or abstract mathematics. As Thomas West, author, states, there is a centuries-old belief that words and mathematical symbols are “for serious professionals – whereas pictures and diagrams” are “for the lay public and children” (2004).  This idea is an example of a damaging myth in education, and this paper will present compelling brain evidence to help dispel the myth". (Boaler, J., Chen, L., Williams, C., & Cordero, M. (2016). Seeing as Understanding: The Importance of Visual Mathematics for our Brain and Learning. Journal of Applied & Computational Mathematics 5)

The study highlights the brain's capacity to process mathematical concepts through visual pathways. From number lines to manipulatives, visual representations play a pivotal role in making abstract ideas concrete and understandable. Integrating these tools in the classroom enhances engagement and achievement across year levels.

The paper advocates for embracing visual mathematics as a means of transforming students' mathematical experiences. By providing hands-on experiences and visual aids, educators can empower learners to develop a deeper understanding and appreciation for math.

I believe (and was thrilled to find a confirmation of my beliefs in the latest neurobiological studies) that using hands-on objects and visual aids is incredibly important for learning math. These tools help make abstract concepts more concrete and easier to understand. When you can touch and see things, it's easier for your brain to remember and solve problems. Studies have shown that using these tools can make students better at maths and help them do well in school. Plus, they work well for all types and ages of learners. 

"A compelling and rather surprising example of the visual nature of mathematical activity in the brain comes from a new study on the ways that the brain uses representations of fingers, well beyond the time and age that people use their fingers to count. The different studies on the brain’s use of finger representations give fascinating insights into human learning and clear implications for mathematics classrooms."

I hope to see more manipulatives and visuals in our classrooms across all the year levels to enhance learning experiences, engage students and foster a deeper understanding of mathematical concepts. When we can touch and see things, maths becomes clearer and more exciting.