Building Success in Mathematics: Teaching with HQIM to Empower with Teacher Supports

A Cengage School blog series exploring 10 high-impact teaching strategies in mathematics

Picture of Dr. Sophie Specjal

Dr. Sophie Specjal

Big Ideas Learning, Contributing Author | University of Melbourne, Podcast Host

Teachers don’t just deliver curriculum; they create the conditions for learning to come alive. They shape the mindset, motivation, and confidence that enable students to believe they can succeed in mathematics. This is not an abstract idea; it’s a proven truth. Teachers make the difference. 

As we reach the final installment in this ten-part series, we celebrate both the science and the art of teaching, and the educators who bring both to life every day. 

Why Teacher Supports Matter

The final strategy, Teacher Supports, recognizes a universal truth: when we invest in teachers, we invest in students. 

Nagle (2024) reminds us that even the most thoughtfully designed curriculum materials only reach their potential when teachers are supported to adaptimplement, and reflect with confidence and clarity. Teaching mathematics is complex cognitive work; it requires precision, empathy, flexibility, and ongoing reflection. Professional learning, collaboration, and supportive structures are not “add-ons”; they are the engine that powers continuous improvement. 

Research consistently underscores the relationship between teacher efficacy and student achievement. Hattie (2023) identifies teacher collective efficacy, the shared belief that educators can positively influence student outcomes, as one of the most powerful predictors of student success. But efficacy doesn’t develop in isolation; it flourishes within cultures of trust, collaboration, and shared purpose.

High-quality teacher supports include: 

A shared language of learning that aligns classroom practice with school-wide vision the OECD’s Education 2030 Framework (2022) emphasises that “teaching is increasingly collaborative, research-informed, and reflective.” When teachers are supported, students experience more coherent instruction, higher engagement, and better learning outcomes. At the same time, supportive environments reduce burnout, strengthen retention, and make teaching joyful, and sustainable. 

What It Can Look Like in Practice

Teacher supports can take many forms, shaped by each school’s context and culture. Yet across all successful examples lies one key condition: a commitment to collaborative expertise, educators learning with and from one another. 

1. Professional Learning Communities (PLCs) 

PLCs transform individual reflection into collective wisdom. Teachers meet regularly to analyze student work, explore misconceptions, and plan next steps. These cycles of inquiry promote shared accountability and evidence-based practice. 
When teachers share a language of learning and a common framework for analyzing student thinking, professional dialogue deepens, and student outcomes improve. 

2. Instructional Coaching and Mentoring 

Instructional coaching provides a bridge between theory and practice. Through structured observation, dialogue, and feedback, teachers refine their craft in a supportive, non-evaluative environment. For early-career teachers, mentoring accelerates professional confidence and reduces attrition. When coaching is evidence-based and transparent, it builds a culture of trust and curiosity that benefits everyone (Hattie, 2023).  

3. High-Quality Instructional Materials

Accessible, sequenced, and adaptable instructional materials reduce cognitive load for teachers, allowing them to focus on how students learn rather than reinventing what to teach. 
Annotated examples, guiding questions, and “look-fors” aligned with research, such as those in teaching resources, foster clarity and coherence across classrooms. 

4. Leadership That Listens

Leadership is the linchpin of effective teacher support. When school leaders model learning, protect collaboration time, and engage in professional dialogue, they create a ripple effect of empowerment. As Fullan (2021) argues, sustainable improvement is achieved not through mandates but through “mobilising the collective will and skill of teachers.” Leadership that listens is leadership that lasts. 

5. Technology-Enabled Networks

Digital platforms expand access to expertise beyond school walls. Online communities, such as the Big Ideas Learning Academy or the collaborative spaces built through this blog series, create what I call just-in-time learning: professional growth that is flexible, relevant, and responsive. When educators connect globally to share insights, discuss challenges, and celebrate success, they transform isolation into innovation. 

6. Feedback and Reflection Cycles

Data-informed reflection transforms evaluation into improvement. When teachers collaboratively examine student thinking and track progress, feedback becomes a tool for growth rather than accountability. As Graham Nuthall’s (2007) research revealed, much of what influences learning happens in the micro-interactions of classroom dialogue, yet teachers can only act on what they notice. Structured reflection helps make that thinking visible. 

Reflect and Apply

Consider:  

Even small shifts, co-planning sessions, reflective protocols, and shared digital spaces can transform professional culture. When teachers feel supported, students experience the ripple effect in every lesson. 

Try asking your team: “What is one way we can better support each other to teach with impact?” 

Sometimes, the minor structural changes, such as adding ten minutes of reflection after a lesson or pairing teachers for mutual observation, create the most significant long-term impact. 

Conclusion

The impact of teacher support extends far beyond the walls of any single classroom. It builds cultures grounded in trust, curiosity, and shared accountability. When educators are given time, tools, and networks, they don’t just deliver mathematics; they elevate it. 

Ultimately, the most impactful teaching is never a solo act. It is the collective power of teachers learning together— supported, connected, and seen— that truly builds success in mathematics. 

Join the Conversation

This blog series isn’t meant to be read in isolation. It’s an ongoing conversation among educators. I’d love to hear from you, hear what works for you, and your context. 

Your experiences bring these strategies to life. Together, we can show how teacher supports can transform classrooms everywhere. 

Looking Ahead

Stay tuned for our final reflection blog, where we’ll bring all 10 High-Impact Teaching Strategies together and explore how focus, coherence, and community can continue to shape the next chapter of this journey. 

References

  • Blum, W., & Ferri, R. B. (2016). Mathematical modelling: Effects on achievement. Journal for Research in Mathematics Education, 47(3), 246–280.
  • Doerr, H. M., & English, L. D. (2016). Cross-curricular modelling in STEM. International Journal of STEM Education, 3(8), 1–12.
  • Fullan, M. (2021). The right drivers for whole system success. Centre for Strategic Education.
  • Hattie, J. (2009). Visible Learning. Routledge.
  • Hattie, J. (2023). Visible Learning: The Sequel. Routledge.
  • Nagle, C. (2024). High-Quality Instructional Materials and Professional Learning. Big Ideas Learning.
  • Nuthall, G. (2007). The Hidden Lives of Learners. NZCER Press.
  • OECD. (2022). PISA 2022 Mathematics Framework. OECD Publishing.
  • Taite, G. (2025). Mathematical agency through modelling. Mathematics Education Research, 5(3), 138.
  • TIMSS. (2019). International Results in Mathematics and Science.
  • Warshauer, H. K. (2015). Productive struggle in mathematics. Mathematics Teaching in the Middle School, 20(6), 375–383. 

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