First Education

From Counting Coins to Calculating Change: Teaching Real-World Maths at Home

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For many children, maths can feel abstract and disconnected from everyday life. Numbers on a worksheet or symbols on a page do not always seem meaningful, which can make it harder for concepts to stick. One of the most effective ways to build strong mathematical foundations is to bring numbers into real-world situations. When children see how maths applies to the world around them, it shifts from being a subject to being a life skill.

Money is one of the easiest and most engaging places to start. Counting coins, adding prices, and working out change all strengthen number sense and mental arithmetic. Next time you are at the shops, give your child a small budget and ask them to calculate what they can buy. Older children can compare prices, look for discounts, or estimate totals before reaching the checkout. These activities give maths a purpose and encourage independent thinking.

Cooking is another everyday opportunity. Measuring flour, doubling recipes, or converting between grams and kilograms teaches fractions, ratios, and multiplication in a way that feels natural. For older students, following recipes can even become an introduction to algebra, as they learn to scale up or down depending on serving sizes.

Beyond money and cooking, there are countless ways to make maths part of daily life. Reading bus timetables, planning a family outing, or working out how long it takes to travel somewhere all involve applied problem-solving. Even simple games, like keeping score in sports or estimating the cost of a family dinner, reinforce mathematical thinking.

The key is not to present these tasks as formal lessons, but as natural parts of daily routines. When children realise that maths is everywhere, they approach it with more confidence and curiosity. By connecting classroom learning to real experiences, parents can help their children develop not only stronger maths skills, but also a genuine appreciation for the role numbers play in everyday life.

Freddie Le Vay

The Power of a Growth Mindset in Learning

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Success in school isn’t just about how smart you are — it’s about how you think about learning. This is where the concept of a growth mindset becomes so powerful. Coined by psychologist Carol Dweck, a growth mindset is the belief that abilities and intelligence can be developed through effort, good strategies, and help from others.

In contrast, a fixed mindset assumes that intelligence is static — you’re either good at something or you’re not. Unfortunately, this belief often leads students to give up easily when faced with challenges. But those with a growth mindset view mistakes as learning opportunities. They understand that failure is part of the process — not a reason to stop, but a reason to try again differently.

As a tutor, I often see the difference this mindset can make. Students who adopt a growth mindset tend to be more resilient. They ask more questions, try new approaches, and persist through difficult topics. Over time, this leads not only to better academic performance, but also increased confidence and independence.

It’s important for students (and parents) to remember that struggling doesn’t mean failing. In fact, real learning often begins when things get hard. That’s when the brain is forced to adapt, make new connections, and grow stronger.

Encouraging a growth mindset isn’t just about positive thinking. It’s about praising effort over outcome, embracing challenges, and understanding that intelligence is something you build — not something you’re born with.

Whether it’s mastering algebra or writing an essay, the most important step is believing that you can improve. Because with the right mindset, you truly can.

Julian Podgornik

The Importance of Different Learning Styles

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Many students learn differently, and these differences in learning often come down to different learning styles: either visual, auditory or kinaesthetic. Whilst learning and tutoring, it is key to recognise what these different learning styles look like in practice, and shape a student’s learning to their preferred style.

Visual learners understand and retain information best when it’s presented through images, diagrams, charts, or written directions. These students often benefit from color-coded notes, mind maps, and visual aids like flashcards or videos. Tutors can engage visually with their students through whiteboards and illustrations.

Auditory learners prefer to hear information to process it effectively. They thrive in discussions, lectures, and reading aloud. These students often repeat information to themselves or benefit from talking through problems. Tutors can support auditory learners by talking through difficult topics with them conversationally, using storytelling to explain ideas, and encouraging them to verbalize their thinking. Tools like educational podcasts or recorded sessions can also reinforce their learning.

Kinaesthetic learners learn best by doing. They prefer hands-on experiences and often struggle with traditional classroom settings that rely heavily on sitting still and listening. Tutors can give students who ‘learn by doing’ challenge questions related to particular topics, which they can work through, and allow students to learn information through the questions presented to them in sessions.

However, whilst it is important to understand a student’s individual learning style, much research also suggests that the individual academic journey of a student benefits most significantly when a student learns through a variety of learning styles, no matter what their preferred learning style may be. This looks like tailoring a tutoring session towards a particular learning style, but also incorporating techniques and strategies from the other two learning styles. It’s an important balancing act between tailoring lessons towards the learning styles which a student prefers and making sure that their learning is not limited by a narrow approach.

Ultimately, understanding and implementing different learning styles is greatly important in maximising a student’s academic success, by allowing their learning to be tailored to their preferred learning styles.

Ceara Kearnes

Cultivating a Balanced Relationship with Students

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Today I had the pleasure of observing a fellow tutor teach Year 9 English, giving me the opportunity to identify new strategies that I can implement into my own sessions.

The session was focused on essay structure, particularly the overall strategy in an exam. What stood out to me immediately was the tutor’s ability to seamlessly jump between building rapport with the student throughout the session and ensuring that sufficient learning was still occurring. Seeing as this particular student was quite social, the tutor employed a strategy the two called “lock-in time”, where a clear task was given and a timer was set in which talking was not allowed (other than asking related questions).

The student didn’t resist the shift; in fact, they leaned into it. They were surprisingly engaged spent every second of the time making significant progress to preparing her draft essay response. The social times gave the student a sense of respite between the real work, while the structure of the timer helped maintain discipline and focus. During and afterwards “lock-in time”, the tutor was sure to provide feedback and help the student improve their essay response.

What I loved about this strategy is how it supports both the relational and academic sides of tutoring. It reminds me that students are more than just learners, they’re children. When we acknowledge that by building in time for connection, they’re often far more willing to meet us in the learning space with focus and effort.
As a fellow tutor, I walked away not just with ideas of how to ensure students stay focused, but with a reminder of how powerful it is to create an interpersonal relationship with each student. Motivation to learn isn’t something we can force; it’s something we can inspire through connection encouragement.

I’m looking forward to incorporating some of these strategies into my own sessions and seeing how they influence the way my students engage with learning.

Connor Kalis

Observation

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Today, I observed Eleni tutoring Bianca for a maths session. Bianca is currently in year 7 and preparing for her upcoming end of term math exam, therefore the session today was based on preparing her for this upcoming exam!
Eleni initially went over all the topics with Bianca, doing a pre-quiz on the board, this quiz had questions from all the topics that will be covered in her exam, this includes, fractions, decimals and percentages (completing conversions), area and perimeter and geometry. Through this pre-quiz, Eleni was able to understand where Bianca is confident in and where she needs further improvement/ remembering some of the topics for the exam. Eleni re went over the formulas for area especially in harder shapes such as the trapezium, parallelogram and rhombus as well as composite shapes and how to split them up in order to find the total area. She further went over worded problems, as they were harder to solve, and went through the formulas/working out slowly and clearly to ensure Bianca was understanding well and able to complete them on her own. Eleni was very encouraging and patient when teaching these concepts, which made Bianca feel more motivated and confident to try the challenging questions. Eleni further used the resources and gave her homework based on both topics to allow for Bianca to complete further study at home at her own pace to reinforce the concepts taught in class.

Daniella Antoun

Observation

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Today I observed Airi’s session with her primary school student. This student can be highly distractable and often finds it difficult to concentrate. Working with these types of students requires considerable skill, patience, and understanding. Airi does an incredible job keeping the student on track and guiding him to get back on topic when he becomes distracted. One of the main strategies that I noticed her utilising is the prize box. When students work hard, they can gain stars for the lesson and their homework (up to 10 each session) which they can put towards ‘buying’ something from the prize box. Airi does a great job of reminding the student that staying focused will benefit them as they will eventually be able to earn a prize. I believe this is a highly effective method moving into later years of school, because the motivation of doing well, getting a particular job, or striving for a particular goal will become the prize, but the objective stays the same – it is rewarding to stay focused and learn. She also effectively utilised brain breaks throughout the session to allow the student to work in bursts – working hard when they are working and taking a good break by playing a quick game such as uno.

Riva Burkett

Observation

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Today, I had the opportunity to observe Emilia tutor her student.

When I first started observing, I immediately noticed the patience Emilia emulates, and this was prominent throughout the entire lesson. Emilia came prepared to the lesson with worksheets and activities planned to ensure her student was engaged, despite her student being tired and, at times, distracted from the lesson. The lesson was centred on sentence construction, with a particular focus on description. Emilia encouraged her student through the promise of having a ‘brain break’ to allow the student to have the option to complete an activity of her choice, on the basis that she completes the tasks set. Emilia also worked on spelling with her student and encouraged the technique of sounding out the word as she wrote it down in order for her student to understand how various letter pairings produce different sounds. It was apparent to me that the student felt very comfortable being in the presence of Emilia and openly expressed that she was finding the content challenging. This allowed the lesson to run smoothly and was very productive. Another technique I noticed was Emilia’s use of colour coding when moving to different tasks, increasing the student’s engagement. Although her students’ attention was turned to many other topics (showing her inquisitiveness), Emilia demonstrated an exceptional amount of patience and maintained control throughout the entirety of the lesson. Overall, it was insightful and enjoyable to watch Emilia conduct a smooth-running lesson filled with motivation, patience and encouragement.

Well done, Emilia!!

Marina Nouris

Observation

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Today, I observed Razan tutoring Joel for maths session, Joel is in year 7 and has an upcoming maths exam in less than a week, therefore the session today was based on all prep for his upcoming exam. Throughout the hour, Razan went over the topics that will be covered during his exam, this includes fractions, equations, integers and geometry. In this block she gave him practice questions and exams to test his knowledge on these topics to see what he remembers or where he needs further help/improvement, after gauging what he knows and what he struggles with, she helped/went over the topics with him to ensure he remembered the content that was previous taught. Razan was very patient when teaching him, especially when he was completing harder and more challenging questions, she encouraged him and to give them a go and then they could work it out together, after he had completed them to the best of his ability. Joel struggled mostly with fractions, and therefore razan planned most of the time during the session to ensuring he understood the concept of simplifying, adding, subtraction, multiplying and dividing fractions as well as worded problems. Through going over the content joel understood more of the work and was able to answer questions with much more confidence and understanding of what is being asked. Razan further gave him homework to aid in his preparation for his exam, with the homework incorporating all the previous topics he learnt that will be examined on his exam day. After the session was completed, razan and joel played a game on uno to end the session after a lot of work was completed.

Daniella

How to write a strong English essay for the HSC

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Writing an essay for HSC English can feel overwhelming, but it is a skill you can develop with practice. A strong essay comes down to understanding the question, building a clear argument, and supporting it with well-chosen evidence.

The first step is to carefully read the question. Identify the directive words such as “discuss”, “evaluate” or “to what extent” and underline the key concept being tested. Rephrasing the question in your own words can help you stay focused as you write.

Next, develop a thesis. Your thesis is your main argument and it should directly answer the question. For example, if the question asks about the conflict between individual desires and society, your thesis could argue that the text demonstrates how social pressures suppress individuality and lead to destructive consequences.

Once you have a thesis, plan your body paragraphs. A useful structure is PEEL: Point, Evidence, Explanation, Link. Each paragraph should open with a clear topic sentence, include specific evidence such as a quotation or technique, analyse how this evidence creates meaning, and finish by linking back to the thesis and question. Aim for three strong body paragraphs in an exam essay.

Evidence is most effective when it is analysed rather than listed. Focus on techniques such as imagery, symbolism, or narrative perspective, and explain how these shape the reader’s understanding. For example, instead of stating that a metaphor shows fear, explain how it positions the audience to view a character as vulnerable or powerless.

Finally, write a concise introduction and conclusion. Your introduction should restate the question, present your thesis, and outline your main points. Your conclusion should briefly summarise your argument and reinforce how it answers the question.

With consistent practice, timed responses, and familiarity with your texts, you can approach HSC English essays with confidence.

Emily

Preparing Students for the HSC

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The HSC is one of the most significant milestones in a student’s academic journey. Preparing effectively for the HSC, particularly the 2 English papers, requires more than just memorising essays — it’s about developing the skills to think critically, write clearly, and adapt responses to a range of questions.

Building a deep understanding of prescribed texts is essential when preparing for exams. Students should focus on analysing how techniques are used to convey meaning. Using palm cards with the quotes, techniques and a brief analysis can help ensure a student memories a number of quotes needed for each paper.

Students should practise restructuring their arguments under timed conditions, ensuring they can confidently adjust responses to any question. Similarly, creative, persuasive, and discursive writing benefit from practice and flexibility — experimenting with different techniques, tones, and structures gives students the ability to approach tasks with originality.

Time management is equally important. Setting up a study schedule that balances English with other subjects prevents last-minute cramming.

Preparing for HSC English is about consistency, adaptability, and resilience. With structured practice and a focus on skills over rote learning, students can step into the exam room ready to tackle any challenge.

Tamiah Mahoney