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Hamburg, Germany
Euler's formula states that e^iπ+1=0.
Hello, I am Aruna Kalyanaraman. Mathematics is my passion. I live and breathe it. I make learning math fun, not something to stress over. I... Read more
Karnatak University
Delhi University
University of Mumbai
University of Allahabad
I make mathematics accessible by grounding every concept in visuals, patterns, and real contexts. Through structured strategies, guided examples, and collaborative inquiry, students learn to reason confidently and solve problems independently. My goal is always to develop thinkers who understand the “why” behind the math.
Yes — I have extensive experience with online learning platforms and virtual tutoring. I have taught mathematics through systems such as Zoom, Microsoft Teams, Google Classroom, Skype, and interactive whiteboard tools like -I use these platforms to deliver structured explanations, visual models, and real‑time feedback.
I am particularly strong in teaching Algebra, Functions, Statistics, Modelling, Geometry, and Mathematical Reasoning, especially within the DP AA and AI course, Cambridge IGCSE Course, Additional Mathematics , AS & A levels Pure Math and Statistics and AP Calculus and Statistics. . I excel at breaking down abstract ideas using , real‑world contexts, and multiple representations, which helps students build deep conceptual understanding and confidence in problem‑solving.
I communicate with parents through clear, regular, and solution‑focused updates. I share their child’s progress using specific evidence from classwork, assessments, and observations, and I explain any difficulties in a calm, constructive way. I focus on what the student can do, what the next steps are, and how we can support them together. I prefer scheduled meetings or calls for sensitive issues, followed by written summaries so parents know exactly how to help at home.
Yes, I regularly provide additional resources to support my lessons. These include practice exercises, step‑by‑step worked examples, revision sheets, and extension tasks for advanced learners. All materials are tailored to the student’s level and aligned with the curriculum so they can practise confidently and independently.
In an online setting, I assign homework regularly and make sure we go through those questions together in the next session. This helps students clarify misunderstandings immediately, see correct methods modelled step by step, and build confidence in applying the concepts independently.
I also make sure to explain the same concept in different ways—using visuals, examples, analogies, or step‑by‑step reasoning—so the student can understand it from the angle that suits them best. This flexibility helps me match their learning style and ensures that no student is left confused.
Yes, I have experience working with students who have learning difficulties or special educational needs. I adapt my teaching by breaking concepts into smaller steps, using clear visuals, modelling strategies slowly, and giving repeated practice with immediate feedback. I also explain ideas in multiple ways so the student can access the concept through the method that suits them best. In an online setting, I use interactive tools, structured notes, and short check‑ins to ensure they stay engaged and supported.
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