Karem A.

I have extensive experience teaching elementary mathematics (Grades 1–6) to students from diverse educational backgrounds. I help young learners build a strong, confident foundation in core topics such as numbers, arithmetic, fractions, decimals, ratios, basic geometry, and early problem-solving skills.My approach focuses on:• Developing number sense and logical thinking• Explaining ideas using visuals, examples, and real-life connections• Helping students understand why methods work, not just how to apply themI work patiently with students who feel anxious about math, helping them gain confidence and independence. For advanced or curious students, I provide enrichment activities that strengthen reasoning and prepare them for higher-level mathematics.I also support:• Homework help and curriculum alignment• Exam and quiz preparation• Long-term skill building for academic successParents often notice improved confidence, clearer thinking, and stronger performance at school. My goal is to make elementary math engaging, intuitive, and enjoyable, while ensuring students are well prepared for the next stages of their education.

I have extensive experience teaching elementary mathematics to children, helping them build strong foundations and lasting confidence in math. I work with students at all levels—from those who need support with basics to children aiming to excel at the top of their class.Through structured, intuitive lessons, many of my students have gone on to become among the top performers in their classes. Parents often report significant improvements in understanding, confidence, and academic results after consistent tutoring.My teaching focuses on:• Building solid foundations in numbers, arithmetic, fractions, and decimals• Developing logical thinking and problem-solving skills• Explaining concepts clearly using visuals, stories, and age-appropriate examples• Turning math anxiety into confidence and curiosityFoundational Math Program for KidsI offer a structured foundational math program designed specifically for children. This program:• Strengthens number sense and core skills• Identifies and fixes learning gaps early• Builds confidence step by step• Prepares students for long-term success in school mathI also provide homework support, curriculum alignment, and exam preparation, always adapting lessons to the child’s pace and learning style.My goal is to help children not only improve their grades, but also enjoy mathematics and feel proud of their progress.

I have extensive experience teaching Calculus at both high-school and university levels, including single-variable and multivariable calculus. I help students master limits, derivatives, integrals, series, and applications, with a strong emphasis on conceptual understanding rather than rote memorization.My background includes research-level work in real and complex analysis and algebraic geometry, which deeply informs how I teach calculus. This allows me to:• Explain why calculus works, not just how to compute• Connect formulas to underlying ideas such as limits, continuity, and structure• Anticipate common misconceptions and address them earlyFor students, this means clearer explanations, stronger intuition, and fewer gaps as topics become more advanced.I work with students who:• Are taking calculus for the first time• Are preparing for exams (AP Calculus, IB, university finals)• Feel lost or anxious about calculus and need a structured resetI also help strong students:• Strengthen proof-based understanding• Prepare for advanced courses such as analysis, differential equations, and mathematical modelingMy lessons are structured, supportive, and adapted to each student’s goals. Many students experience significant improvements in confidence, grades, and problem-solving ability after consistent work together.

I have extensive experience teaching IB Mathematics (Analysis & Approaches and Applications & Interpretation, both SL and HL). I help students succeed in all core IB components, including topic mastery, exam technique, and Internal Assessment (IA) preparation.My background includes research in real and complex analysis and algebraic geometry, which strongly informs how I teach IB math. This allows me to:• Explain concepts with clear intuition rather than memorization• Show the structure behind formulas, helping students avoid common mistakes• Build strong foundations in functions, calculus, algebra, and geometry that IB repeatedly testsFor IB students, this translates into deeper understanding, faster problem-solving, and more confidence under exam conditions.I support students with:• IB exam preparation (Paper 1, Paper 2, Paper 3)• HL-level rigor and challenging problems• IA topic selection, structure, and mathematical clarity• Bridging gaps between SL and HL expectationsMy lessons are well-structured and aligned with the IB syllabus and mark schemes. Many of my students have achieved significant score improvements and top results through consistent, focused tutoring.Whether you are aiming to secure a high IB score, strengthen your foundations, or prepare for university-level mathematics, I provide clear guidance and a personalized plan to help you succeed.

Once a self-taught student who mastered mathematics from scratch, I now dedicate my career to making complex ideas beautifully simple for learners worldwide. See my description for details.

I have experience working with preschool children, helping them develop a strong and joyful early relationship with mathematics. At this stage, my focus is on building number sense, curiosity, and confidence, rather than formal procedures.My lessons for preschoolers include:• Counting, numbers, and early arithmetic• Shapes, patterns, and spatial awareness• Comparing quantities and simple logical thinking• Learning through games, stories, and visual activitiesAlthough I have conducted research in advanced mathematics, including analysis and algebraic geometry, this background plays an important role in my teaching at the preschool level. It allows me to:• Understand how mathematical ideas develop over time, from simple concepts to advanced thinking• Choose activities that build the right foundations early• Avoid shortcuts that later cause confusion in school mathematicsFor young learners, this means lessons that are carefully structured, age-appropriate, and designed to support long-term success.I work closely with parents to ensure lessons match each child’s pace and learning style. Many children show improved focus, confidence with numbers, and a positive attitude toward learning after consistent sessions.My goal is to help children see mathematics as fun, natural, and meaningful, while quietly preparing them for future success in school.

I have extensive experience teaching functions at the middle school, high school, and early university levels. I help students understand functions not just as formulas, but as relationships between variables, which is essential for success in algebra, trigonometry, calculus, and beyond.My background includes research in real and complex analysis and algebraic geometry, which strongly informs how I teach functions. This allows me to:• Explain functions using clear intuition and visual reasoning• Show how different representations (formulas, graphs, tables) are connected• Build a strong conceptual foundation in domain, range, composition, and transformations• Prepare students for advanced topics such as calculus, differential equations, and analysisFor students, this means fewer memorized rules and a much deeper understanding of how functions behave and why.I work with students who:• Are encountering functions for the first time• Struggle with graphs, transformations, or function notation• Are preparing for exams (school tests, SAT, IB, AP, university exams)My lessons are structured, supportive, and adapted to each student’s level and goals. Many students experience improved confidence, accuracy, and problem-solving ability once they truly understand functions.Whether you are building foundations or strengthening skills for advanced mathematics, I provide a clear, logical path to mastering functions.

I have extensive experience teaching trigonometry to middle school, high school, and early university students. I help students understand trigonometric functions, identities, equations, graphs, and applications, with a strong focus on conceptual clarity and intuition.My background includes research in real and complex analysis and algebraic geometry, which shapes how I teach trigonometry. This allows me to:• Explain trigonometric functions as geometric and analytic objects, not just formulas• Clarify why identities work and how they connect to functions, graphs, and limits• Build strong foundations that support later topics such as calculus, vectors, and complex numbersFor students, this means fewer memorization tricks and more real understanding, making trigonometry feel logical instead of confusing.I work with students who:• Are learning trigonometry for the first time• Struggle with identities, unit circle, or graphs• Are preparing for exams (school tests, SAT, IB, university exams)My lessons are structured, patient, and adapted to each student’s level. Many students experience significant improvements in confidence, accuracy, and exam performance once trigonometry “clicks.”Whether you need to strengthen the basics or master advanced trigonometric concepts, I provide a clear, supportive path that helps you succeed and prepares you for higher-level mathematics.

I have extensive experience teaching AP Calculus AB and BC, helping students develop both strong conceptual understanding and the skills needed to succeed on the AP exam. I support students with all core topics, including limits, derivatives, integrals, applications, and series (for BC).My background includes research in real and complex analysis and algebraic geometry, which strongly informs how I teach AP Calculus. This allows me to:• Explain the ideas behind formulas, not just computation• Clarify the meaning of limits, continuity, and change• Anticipate common misconceptions and address them early• Connect calculus topics in a coherent, logical wayFor AP students, this leads to clearer understanding, stronger problem-solving, and greater confidence under timed exam conditions.I help students with:• Full AP syllabus coverage (AB & BC)• Multiple-choice and free-response strategies• Interpreting graphs and word problems• Building speed and accuracy without sacrificing understandingMy lessons are structured, supportive, and aligned with College Board expectations. Many of my students have improved their scores significantly and achieved strong results on the AP Calculus exam.Whether you are aiming for a top score or need a clear reset to truly understand calculus, I provide a personalized, step-by-step approach to help you succeed.

I have extensive experience preparing students for SAT Math, helping them improve both their scores and their understanding of the underlying mathematics. I work with students at all levels, from those rebuilding foundations to high scorers aiming for top results.My background includes research in real and complex analysis and algebraic geometry, which shapes how I teach SAT Math. This allows me to:• Explain concepts clearly and intuitively, even under time pressure• Show the structure behind algebra, functions, and problem patterns• Identify shortcuts that are mathematically sound—not risky tricks• Help students avoid common mistakes that cost easy pointsFor SAT students, this leads to faster problem recognition, stronger accuracy, and better time management.I support students with:• All SAT Math topics (algebra, advanced math, problem solving, data analysis, and geometry)• Calculator and no-calculator strategies• Timed practice and test-taking techniques• Diagnostic reviews to target weaknesses efficientlyMy lessons are structured, efficient, and focused on results. Many students have achieved significant score increases through consistent, focused preparation.Whether you are aiming for a competitive score or need a clear plan to raise your performance, I provide a structured and supportive approach tailored to your goals.