AhaMath vs Premise One

Stop memorising formulas. Start seeing why they work. Most maths apps give you a problem and check your answer. This app shows you the maths — with rich, interactive animations that break every concept down visually, step by step. Watch a circle split into sectors and rearrange into a rectangle to reveal why area = πr². See a tangent line slide along a curve to show what a derivative really means. Follow vectors as they add tip-to-tail on a coordinate plane. Every animation is designed to build genuine understanding, not just drill answers. TOPICS COVERED • Arithmetic — addition, subtraction, multiplication, division • Fractions — equivalences, simplifying, finding missing values • Algebra — one-step and two-step equations, simultaneous equations, factorising, completing the square, quadratic formula, geometric sequences • Geometry — perimeter, area, Pythagoras, circles, surface area, volume, similarity • Trigonometry — SOHCAHTOA, sine rule, cosine rule • Functions — evaluation, composition, slope, inverses, exponential growth • Calculus — derivatives, integrals, related rates, optimisation, Simpson's rule • Statistics — mean, median, range, IQR, normal distribution • Probability — basic probability, complements, independence, expected value, permutations, combinations • Vectors — magnitude, scalar multiplication, addition, dot product, unit vectors • Complex Numbers — powers of i, conjugates, modulus, polar form, Argand diagrams • Physics Foundations — speed, momentum, acceleration, force, work, projectile motion WHAT MAKES IT DIFFERENT ◆ 30+ interactive animations that visually prove why each concept works ◆ Unlimited practice with dynamically generated questions — you will never see the same problem twice ◆ Step-by-step worked solutions and contextual hints for every question ◆ Three difficulty levels per topic so you can build confidence before pushing further ◆ Clean, focused design — no ads, no distractions WHO IS IT FOR Whether you are a student working through school maths, preparing for exams, or an adult refreshing your skills — the visual approach helps concepts stick in a way that textbooks cannot match. Built by someone who believes maths should make sense, not just be memorised.

Premise One is a comprehensive learning app designed to help you think clearly, reason effectively, and understand the logic behind every argument. Whether you’re completely new to logic or ready to explore advanced concepts, Premise One takes you from the foundations of reasoning to deeper areas of formal and philosophical logic through structured, easy-to-understand lessons. START WITH THE FUNDAMENTALS Learn how arguments work by exploring premises, conclusions, deductive and inductive reasoning, validity, soundness, and necessary and sufficient conditions. MASTER THE LANGUAGE OF LOGIC Progress into propositional logic, conditional reasoning, categorical syllogisms, predicate logic, quantifiers, identity, predication, and symbolic notation. Learn what symbols like ¬, ∧, ∨, →, ↔, ∀, ∃, □, and ◇ mean and how to use them. SPOT BAD REASONING Learn to recognize common logical fallacies, including straw man arguments, ad hominem attacks, false dilemmas, circular reasoning, equivocation, special pleading, non sequiturs, and more. GO DEEPER Explore modal and philosophical logic through concepts such as possibility, necessity, contingency, possible worlds, identity, essence, contradictions, counterfactuals, and logical consequence. PUT YOUR REASONING TO THE TEST Strengthen your understanding through examples, practice questions, argument analysis, interactive exercises, and quizzes designed to help you apply what you learn. Premise One isn’t about telling you what to think. It’s about teaching you how to think. Question assumptions. Analyze arguments. Follow the evidence. Understand why a conclusion follows—or why it doesn’t. Premise One — Where Reasoning Begins.