First Education

Supporting Mathematical Understanding Through BODMAS and Data Analysis

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During this observation, I had the opportunity to observe Daniella working with her Year 7 student, George, on key mathematical concepts including BODMAS and measurements of data such as mean, median, mode, and range. The lesson was well-structured and demonstrated effective teaching practices that supported George’s understanding and confidence.

Daniella began by revising prior knowledge, ensuring George had a solid foundation before introducing more complex questions. Throughout the lesson, she used clear explanations and step-by-step demonstrations to break down mathematical processes, particularly when solving BODMAS expressions. This helped George understand the importance of following the correct order of operations and minimised common errors.

A key strength of the lesson was Daniella’s use of questioning techniques to assess George’s understanding. Rather than immediately providing answers, she encouraged him to explain his thinking and justify his solutions, promoting critical thinking.

The second part of the lesson focused on statistical data concepts, including calculating and interpreting the mean, median, mode, and range. Daniella used worked examples and guided practice to reinforce each concept, helping George recognise the differences between the measures and understand when each one is most useful. George actively participated in discussions and demonstrated increasing confidence when solving independent questions.

Throughout the session, Daniella maintained a positive and supportive learning environment. She provided regular encouragement and constructive feedback, which helped keep George engaged and motivated. Her ability to adjust explanations and provide additional examples when required demonstrated strong adaptability and responsiveness to the student’s learning needs.

Overall, this observation highlighted the importance of clear instruction, effective questioning, and positive reinforcement in mathematics education. The lesson successfully supported George’s understanding of both BODMAS and data analysis concepts while fostering his confidence and problem-solving skills.

Tira Rustom

Teaching Down, Not Dumbing Down: What a Year 4 Maths Session Reminded Me

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I usually tutor Year 12 students, so most of my sessions involve advanced maths, exam preparation, and helping students tackle complex problems under time pressure. Today, however, I covered a Year 4 maths session for another tutor. The experience reminded me that teaching younger students requires a completely different approach. While the mathematics itself was much simpler, the challenge was communicating ideas in a way that made sense to a younger learner.

With Year 12 students, I can often explain concepts using mathematical language and abstract reasoning. Younger students need something different. Instructions have to be shorter, examples need to be more concrete, and lessons must be paced more carefully. Rather than focusing on applying knowledge, much of the session was about building the foundations that future learning depends on. I also noticed how important engagement is. Senior students are usually motivated by exams, university goals, or academic achievement. A Year 4 student is more likely to learn when they are interested, encouraged, and enjoying the process. Celebrating small successes and maintaining enthusiasm became just as important as teaching the content itself.

The session gave me a new appreciation for teachers and tutors who work primarily with younger students. Teaching simple concepts clearly is often more difficult than teaching advanced ones because it requires breaking ideas down into their most fundamental parts. Although I only spent one session with a Year 4 student, it was a valuable reminder that effective tutoring is not just about subject knowledge. It is about adapting your teaching style to meet students where they are and helping them build confidence as they learn.

Sophie McGrath

The Quiet Work of Getting It

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There’s something quietly remarkable about watching a student move from confusion to clarity. I had the chance to observe one of our tutoring sessions recently, Zac working with Emily on Standard Maths, and it was a good reminder of what effective one-on-one support actually looks like in practice. Emily arrived with that particular kind of low-grade anxiety that comes before a test: textbook open, highlighter in hand, but not quite sure where to start. She’d flagged simultaneous equations as her sticking point. Zac settled in across from her, glanced at her notes, and didn’t launch straight into a method. Instead, he asked her to talk him through what she already understood. That small move, making her articulate her own thinking first, seemed to change the energy of the session. Emily explained, haltingly, that she could follow the substitution method when the numbers were neat, but fell apart when fractions appeared. Zac nodded, wrote out a messy example, and said, “Let’s do an ugly one first, then.” What followed was about forty minutes of careful back-and-forth. Zac didn’t solve problems for her. He’d get halfway through a step, then pause and hand the pen over. When Emily made an error in her arithmetic, he didn’t point it out directly, he asked her to check her line again. She found the mistake herself. You could see the difference in her posture when she did. By the end, Emily had worked through five problems independently, including two involving decimals. She didn’t suddenly love maths. But she left looking less defeated, and with a method she felt she actually owned.
That’s the real work of tutoring: not transferring answers, but building enough confidence that the student starts trusting their own process.

Lewin Fairbairn

How to Learn from Past Exam Mistakes

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When a test doesn’t go well, most students want to just go over the answers to see where they went wrong but will never look at that exam paper again. However, a past exam is one of the most useful tools to help turn past exam mistakes into marks for a future exam.

Geting an answer wrong on an exam is not necessarily proof that you are ‘bad’ at a subject, but it is instead a clue into what you might have missed during class or when you were studying. Maybe the student missed a key idea or misunderdood what a question was really asking. The key here is to not look a the exam and think ‘why am I so bad?’ and rather ‘what exactly went wong?’

From there, it is useful to organise the mistakes into simple categories. This would include if you lost marks because you didn’t know the content, mix up formulas, run out of time or misread the question. This will help to see if you are missing gaps in your study notes, or need more exam practice.

This is where tutoring can make a real difference. For tutors, categorising exam mistakes helps us to clearly understand whether the student needs to work more on the content of an exam or practice exam skills. Tutors will help a student notice these patterns in their past exams, explain a concept in a clear way, and give you targeted practice questions so you don’t make the same mistake in the next exam. Tutors can also help with exam practice, where we help you to learn how to manage your time and decode questions independently. With extra support, the past exams stop feeling like something to hide and instead help to become a tool to improve your results for the next exam.

Emma Birrell

English tutoring

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English tutoring is often thought of as simply extra academic support, but its value extends far beyond improving grades. At its best, it develops the way students think, communicate, and interpret the world around them.

One of the most immediate benefits of English tutoring is the strengthening of core literacy skills. Many students struggle not because they lack ideas, but because they lack the tools to express them clearly and persuasively. Through targeted guidance, tutoring helps refine essay structure, expand vocabulary, and build control over language. Over time, students begin to write with greater clarity and confidence, no longer relying on formulaic responses but instead shaping arguments that feel deliberate and articulate.

Beyond technical improvement, English tutoring encourages deeper engagement with texts. In a classroom, time pressures often mean students focus on surface-level interpretation. Tutoring creates space for slower, more careful reading, where meaning, technique, and context can be properly unpacked. This often leads to moments where students realise that literature is not just something to analyse for marks, but something that reflects complex human experiences and ideas.

Another important aspect is the development of critical thinking. English is not only about understanding what a text says, but how and why it says it. Tutoring pushes students to question assumptions, consider alternative interpretations, and build more sophisticated arguments. These skills are transferable far beyond English, shaping the way students approach history, science, and even everyday decision-making.

There is also a quieter but equally important benefit: confidence. Many students arrive at tutoring believing they are “bad at English” or incapable of high-level analysis. With consistent support, these assumptions begin to shift. As their skills grow, so does their willingness to take intellectual risks, whether in class discussions or written work.

Ultimately, English tutoring is valuable because it is not just remedial—it is developmental. It helps students move from simply completing tasks to genuinely understanding and shaping ideas. In doing so, it equips them not only for exams, but for thoughtful and effective communication throughout their lives.

Lara Venn Jones

Managing Anxiety During the HSC

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As the HSC approaches, many students experience increased levels of stress and anxiety. While a certain amount of pressure can be motivating, excessive anxiety can be really hindering. Understanding how to manage these feelings is an important part of preparing for exam success.

The HSC represents a significant milestone. Alongside academic demands, students often feel pressure from expectations they place on themselves, as well as those from family, peers, and future pathways. Concerns about ATARs, university entry, and performance can contribute to feelings of overwhelm. It is important to remember that experiencing anxiety during exam periods is common.

1. Focus on What You Can Control = Instead of worrying about outcomes, such as final exam questions or ATAR results, redirect attention to factors within your control: attending classes, completing revision, practising exam-style questions, and maintaining healthy routines. I can admit to spending way too much time on the ATAR calculator.
2. Maintain Healthy Habits = Sleep, nutrition, and physical activity play a crucial role in academic performance and emotional wellbeing. I spent the vast majority of my HSC literally worrying myself sick, pulling all-nighters, not eating enough etc. don’t make the same mistake.
3. Challenge Perfectionism = Aim for consistent effort rather than perfection. Progress is more valuable than repeatedly striving for an unattainable standard.
4. Practising Effective Exam Preparation = Familiarity reduces uncertainty. Completing past papers under timed conditions helps build confidence, identify areas for improvement, and develop effective exam techniques.

Keeping Perspective: The most valuable outcome of the HSC is not simply a score, but the skills developed along the way: perseverance, organisation, critical thinking, and resilience. By focusing on preparation, wellbeing, and self-compassion, you can approach the examination period with greater confidence and balance. Good luck 🙂

Cara Charalambous

Observation

I had the great opportunity to observe Annaliese’s session! Anya had an exam which her and Annalise went through. At the beginning of the lesson she explained her main queries specifically, “silly mistakes”and “alegebra techniques”. In turn, they spent part of the lesson going over the paper and reviewing mistakes, Annaliese explaining approaches and what ammendments need to be made, by going through each question together. Specifically, focalising questions that may come up on a later date. After that, Anya explained that she had received her exam notification to which they made a game plan for. After overviewing which topics would be studied they determined what practice papers and exams should be done in order to a) rectify mistakes in task 2 and b) prepare better for task 3. For the rest of the lesson, they did practice questions. It was a lovely session to observe!

Cara Charalambous

Is Handwriting Important in a Digital Age?

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In the 21st century, technology is increasingly part of daily life, replacing aspects of how we live, work, and learn. It could even be said that technology is used in almost every aspect of education, from laptops to type on, posters created using digital programs, and even online textbooks replacing physical copies.

However, there is still one thing technology cannot replace: handwriting. Research has shown that handwriting can improve memory, making learning more effective than simply typing. For this reason, handwriting is a crucial skill that students should continue to develop, even in a digital world.

Many students will face situations where writing by hand is required, such as completing exams, taking quick notes, or filling out forms. However, it is more than just a practical skill. It’s more than just improving your handwriting because the HSC is still handwritten. Handwriting requires your brain to work harder. When writing by hand, you are forced to process information, summarise ideas, and actively engage with what you are learning rather than simply recording it.
Several recent research papers have started to analyse our growing dependence on technology and how it impacts the brain. Some researchers, including those from MIT, have explored how the prolonged overuse of technology can contribute to what is known as “cognitive debt”, where people become increasingly reliant on technology and engage less deeply with information when independent thinking is required. This is where handwriting becomes particularly valuable. It not only improves concentration and reduces distractions, but it also encourages active thinking and stronger engagement with learning. Even the physical process of forming letters activates multiple complex areas of the brain.

Ultimately, while technology has transformed education and led to many improvements that have allowed us to learn more efficiently, handwriting remains a valuable skill. It strengthens memory, promotes deeper learning, and supports cognitive development. It is not about choosing between handwriting and typing, but rather understanding the benefits of both and using them strategically, preparing students for the demands of both the digital and non-digital world.

Vicki Synesios

What If Failure Had a Fan Club?

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Imagine if every mistake you made was celebrated. Not because getting things wrong is the goal, but because every mistake would be proof that you were trying something new. Imagine a world where students earned recognition not only for perfect scores, but for taking risks, tackling difficult challenges, and refusing to give up when things became hard.

In school, many students grow up fearing mistakes. A wrong answer can feel embarrassing. A poor result can feel disappointing. Over time, some students begin to avoid challenges altogether because they don’t want to fail. But what if we looked at failure differently?

Think about learning to ride a bike. Nobody expects to hop on and ride perfectly the first time. Falling off is part of the process. The same is true for maths problems, essay writing, science experiments, and every other skill we learn. Progress is often built on a pile of mistakes. The students who achieve the most are not usually the ones who never fail. They are the ones who keep going after they do. Every successful athlete, musician, scientist, and entrepreneur has experienced setbacks. What separates them is their willingness to learn from those setbacks rather than be defined by them.

During tutoring sessions, some of the best learning moments happen when a student gets something wrong. A mistake reveals what needs to be improved and creates an opportunity for deeper understanding. In many ways, mistakes are signposts pointing us towards growth. So perhaps failure doesn’t need a warning label. Perhaps it needs a fan club. Not a fan club that celebrates staying stuck, but one that celebrates effort, resilience, and the courage to keep trying. Because every mistake means you’re learning, every challenge means you’re growing, and every setback is simply part of the journey forward. The next time you make a mistake, don’t ask, “Why did I fail?” Ask, “What is this teaching me?” The answer might take you further than success ever could.

Isabella Naumovski

What I’ve Learned as a Tutor (And What Students Can Learn Too)

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Tutoring isn’t just about explaining maths problems or helping with study notes — it’s also about learning. While I’ve helped many students grow in confidence and skill, I’ve learned just as much from the experience myself.

One of the biggest lessons I’ve learned is that every student learns differently. Some need visual explanations, others need to talk things through, and many need time to make mistakes and work it out for themselves. As a tutor, I’ve learned to adapt, listen carefully, and meet students where they are — not where the textbook says they should be.

I’ve also come to appreciate the power of small, consistent effort. The students who make the most progress aren’t always the fastest or most naturally gifted — they’re the ones who show up regularly, ask questions, and try even when it’s tough. That’s a lesson I think we can all learn from: progress comes from persistence.

Another insight is how important confidence is in learning. Many students don’t struggle because they can’t do the work — they struggle because they’ve convinced themselves they can’t. Part of my job is helping them shift that mindset. When students start believing in their ability to improve, the results quickly follow.

And finally, tutoring has reminded me that learning should feel human. It’s not just about ticking boxes or memorising facts. It’s about growth, curiosity, connection — and sometimes, just needing someone to believe in you.

So whether you’re a student or a tutor, remember this: learning is a two-way street. We all have something to teach — and something to learn.

Julian Podgornik