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Maths Quiz using OpenAI - Complete SaaS Project Specification

Project Overview

Project Name: MathGenius Pro

Type: Educational SaaS Platform


Target Users:

  • High school & college students

  • Maths tutors/teachers

  • Online learning institutions

  • Test preparation companies (e.g., SAT, GRE, JEE, etc.)


Tech Stack:

  • Frontend: React.js (Next.js optional for SEO)

  • Backend: Node.js with Express

  • Database: MongoDB

  • AI Integration: OpenAI API (GPT-4 or GPT-3.5)

  • Authentication: Firebase Auth or Auth0

  • Hosting: Vercel (frontend), Render or Railway (backend), MongoDB Atlas

  • Optional Admin Panel: React Admin or custom-built

  • File/Asset Storage: Cloudinary or Firebase Storage


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Executive Summary

MathGenius Pro is an AI-powered interactive mathematics learning platform that provides personalized tutoring, step-by-step problem solving, and comprehensive topic coverage across all mathematics levels. The platform leverages OpenAI's GPT-4 to generate dynamic solutions, explanations, and practice problems while maintaining a structured curriculum foundation.


A SaaS-based platform for students to learn mathematics through step-by-step tutorials, interactive lessons, and AI-powered problem solving. Teachers can manually input structured tutorials, formulas, and solved examples, while students can read, revise, and input new questions (including past papers or custom problems) to get AI-generated step-by-step solutions.



Key Features & Functionality

1. Core Learning Modules

  • Topic Library: Comprehensive coverage from basic arithmetic to advanced calculus

  • Interactive Tutorials: Step-by-step lessons with visual aids and examples

  • Formula Repository: Searchable database of mathematical formulas with explanations

  • Practice Problem Bank: Curated collection of problems by difficulty and topic

2. AI-Powered Features

  • Intelligent Problem Solver: Students input any math problem and receive step-by-step solutions

  • Solution Explanation: Detailed breakdown of each step with reasoning

  • Similar Problem Generator: AI creates variations of solved problems for practice

  • Mistake Analysis: AI identifies common errors and provides targeted feedback

  • Adaptive Learning Path: Personalized curriculum based on student performance

3. User Management System

  • Student Dashboard: Progress tracking, performance analytics, study streaks

  • Teacher Portal: Class management, assignment creation, progress monitoring

  • Parent Access: Child's progress reports and learning insights

  • Admin Panel: User management, content moderation, system analytics

4. Interactive Features

  • Real-time Math Input: LaTeX support for complex mathematical expressions

  • Visual Problem Solving: Graph plotting, geometric shape manipulation

  • Voice-to-Text Math: Speak problems aloud for AI processing

  • Collaborative Learning: Study groups and peer problem-solving sessions




Technical Architecture

Frontend (React.js)



src/
├── components/
│   ├── common/
│   │   ├── Header.jsx
│   │   ├── Sidebar.jsx
│   │   └── Footer.jsx
│   ├── auth/
│   │   ├── Login.jsx
│   │   ├── Register.jsx
│   │   └── ForgotPassword.jsx
│   ├── dashboard/
│   │   ├── StudentDashboard.jsx
│   │   ├── TeacherDashboard.jsx
│   │   └── Analytics.jsx
│   ├── learning/
│   │   ├── TopicBrowser.jsx
│   │   ├── Tutorial.jsx
│   │   ├── ProblemSolver.jsx
│   │   └── QuizInterface.jsx
│   └── math/
│       ├── MathInput.jsx
│       ├── StepByStep.jsx
│       └── FormulaDisplay.jsx
├── pages/
├── services/
│   ├── api.js
│   ├── openai.js
│   └── auth.js
├── utils/
└── styles/

Backend (Node.js + Express)



server/
├── controllers/
│   ├── authController.js
│   ├── userController.js
│   ├── mathController.js
│   ├── quizController.js
│   └── openaiController.js
├── models/
│   ├── User.js
│   ├── Topic.js
│   ├── Problem.js
│   ├── Solution.js
│   └── Progress.js
├── routes/
│   ├── auth.js
│   ├── users.js
│   ├── math.js
│   └── openai.js
├── middleware/
│   ├── auth.js
│   ├── validation.js
│   └── rateLimiting.js
├── services/
│   ├── openaiService.js
│   ├── mathProcessor.js
│   └── pdfGenerator.js
└── utils/

Database Schema (MongoDB)

Users Collection



{
  _id: ObjectId,
  email: String,
  password: String (hashed),
  role: String, // 'student', 'teacher', 'admin'
  profile: {
    firstName: String,
    lastName: String,
    grade: String,
    subjects: [String],
    preferences: Object
  },
  subscription: {
    plan: String,
    status: String,
    expiresAt: Date
  },
  createdAt: Date,
  updatedAt: Date
}

Topics Collection



{
  _id: ObjectId,
  title: String,
  category: String, // 'algebra', 'geometry', 'calculus', etc.
  level: String, // 'beginner', 'intermediate', 'advanced'
  description: String,
  formulas: [String],
  examples: [Object],
  prerequisites: [ObjectId],
  createdAt: Date
}

Problems Collection



{
  _id: ObjectId,
  question: String,
  topicId: ObjectId,
  difficulty: Number, // 1-5 scale
  solution: {
    steps: [String],
    finalAnswer: String,
    explanation: String
  },
  tags: [String],
  createdBy: ObjectId,
  createdAt: Date
}


OpenAI Integration Strategy

1. Problem Solving Workflow


// Example OpenAI prompt structure
const systemPrompt = `
You are a mathematics tutor. When given a math problem:
1. Identify the topic and required concepts
2. Break down the solution into clear, logical steps
3. Explain the reasoning behind each step
4. Provide the final answer
5. Suggest similar practice problems

Format your response as JSON with:
- steps: array of step objects with description and calculation
- explanation: overall problem-solving approach
- answer: final numerical or algebraic result
- relatedTopics: array of related mathematical concepts
`;

const solveWithAI = async (problem, context) => {
  const response = await openai.chat.completions.create({
    model: "gpt-4",
    messages: [
      { role: "system", content: systemPrompt },
      { role: "user", content: `Problem: ${problem}\nContext: ${context}` }
    ],
    temperature: 0.3,
    max_tokens: 1500
  });
  
  return JSON.parse(response.choices[0].message.content);
};

2. Content Generation Features

  • Dynamic Quiz Creation: AI generates questions based on topic and difficulty

  • Hint System: Progressive hints that guide without giving away answers

  • Error Analysis: AI analyzes incorrect answers and provides targeted explanations

  • Concept Reinforcement: Generates additional examples when students struggle



User Experience Flow

Student Journey

  1. Registration & Onboarding

    • Account creation with grade/level selection

    • Diagnostic assessment to determine starting point

    • Personalized learning path generation

  2. Learning Phase

    • Browse topics or follow recommended path

    • Read tutorials with interactive elements

    • Practice with guided examples

    • Take understanding quizzes

  3. Problem Solving

    • Input custom problems (typed, voice, or photo)

    • Receive AI-generated step-by-step solutions

    • Ask follow-up questions for clarification

    • Generate similar problems for practice

  4. Progress Tracking

    • Visual progress indicators

    • Achievement badges and milestones

    • Weekly/monthly progress reports

    • Areas for improvement recommendations



Teacher Features

  1. Classroom Management

    • Create and manage multiple classes

    • Assign topics and problem sets

    • Monitor student progress in real-time

    • Generate performance reports

  2. Content Creation

    • Upload custom problems and solutions

    • Create topic-specific quizzes

    • Set homework assignments with AI assistance

    • Develop lesson plans with integrated resources



Monetization Strategy

Pricing Tiers

Free Tier

  • 5 AI problem solutions per month

  • Access to basic topics (arithmetic, basic algebra)

  • Limited practice problems

  • Basic progress tracking

Student Plan ($9.99/month)

  • Unlimited AI problem solving

  • Access to all topics up to high school level

  • Personalized learning paths

  • Study reminders and goal setting

  • Mobile app access

Teacher Plan ($19.99/month)

  • All student features

  • Classroom management tools

  • Assignment creation and grading

  • Student progress analytics

  • Bulk problem generation

School License ($299/month)

  • Up to 50 teacher accounts

  • 1000 student accounts

  • Advanced analytics dashboard

  • Custom branding options

  • Priority support and training



Technical Implementation Details

Security & Authentication

  • JWT-based authentication with refresh tokens

  • OAuth integration (Google, Microsoft)

  • Role-based access control (RBAC)

  • Input sanitization and validation

  • Rate limiting for API calls

Performance Optimization

  • Redis caching for frequently accessed content

  • CDN integration for static assets

  • Database indexing for search optimization

  • Lazy loading for large content sections

  • API response compression

Mobile Responsiveness

  • Progressive Web App (PWA) capabilities

  • Touch-optimized math input interfaces

  • Offline mode for downloaded content

  • Push notifications for study reminders



Development Phases

Phase 1 (Months 1-3): MVP Development

  • User authentication and basic profiles

  • Core topic structure and content management

  • Basic OpenAI integration for problem solving

  • Simple quiz functionality

  • Responsive web interface

Phase 2 (Months 4-6): Enhanced Features

  • Advanced math input (LaTeX support)

  • Step-by-step solution visualization

  • Progress tracking and analytics

  • Teacher dashboard and class management

  • Payment processing integration

Phase 3 (Months 7-9): Advanced AI Features

  • Adaptive learning algorithms

  • Advanced mistake analysis

  • Voice-to-text problem input

  • Collaborative learning features

  • Mobile app development

Phase 4 (Months 10-12): Scaling & Optimization

  • Advanced analytics and reporting

  • API for third-party integrations

  • Multi-language support

  • Enterprise features

  • Performance optimization



Technology Stack Details

Frontend Technologies

  • React 18: Component-based UI development

  • TypeScript: Type safety and better development experience

  • Material-UI/Chakra UI: Pre-built accessible components

  • MathJax/KaTeX: Mathematical notation rendering

  • React Query: Server state management

  • Framer Motion: Smooth animations and transitions

Backend Technologies

  • Node.js 18+: Runtime environment

  • Express.js: Web application framework

  • TypeScript: Type-safe backend development

  • MongoDB: Document database for flexible data storage

  • Mongoose: ODM for MongoDB

  • Redis: Caching and session storage

  • Socket.io: Real-time communication

Third-Party Services

  • OpenAI GPT-4: AI problem solving and content generation

  • Stripe: Payment processing

  • SendGrid: Email services

  • Cloudinary: Image and file storage

  • AWS/Vercel: Hosting and deployment

  • MongoDB Atlas: Managed database service



Testing Strategy

Unit Testing

  • Jest for backend API testing

  • React Testing Library for component testing

  • Cypress for end-to-end testing

  • Test coverage minimum of 80%

Quality Assurance

  • Manual testing for UI/UX

  • Mathematical accuracy verification

  • Performance testing under load

  • Security vulnerability scanning



Launch Strategy

Pre-Launch (3 months)

  • Beta testing with selected teachers and students

  • Content creation and curation

  • Marketing website development

  • Educational partnerships establishment

Launch Phase (1 month)

  • Soft launch to limited audience

  • Gather user feedback and iterate

  • Marketing campaign initiation

  • Influencer partnerships in education sector

Post-Launch (Ongoing)

  • Regular feature updates based on user feedback

  • Content expansion and curriculum alignment

  • Partnership development with schools

  • Community building and user engagement



Success Metrics

User Engagement

  • Daily/Monthly Active Users (DAU/MAU)

  • Session duration and frequency

  • Problem completion rates

  • User retention rates

Educational Impact

  • Student performance improvement

  • Teacher satisfaction scores

  • Curriculum coverage metrics

  • Learning outcome achievements

Business Metrics

  • Monthly Recurring Revenue (MRR)

  • Customer Acquisition Cost (CAC)

  • Lifetime Value (LTV)

  • Churn rate by user segment



Risk Assessment & Mitigation

Technical Risks

  • OpenAI API limitations: Implement fallback mechanisms and content caching

  • Scalability issues: Use cloud-native architecture and monitoring

  • Data security: Implement comprehensive security measures and compliance

Business Risks

  • Competition: Focus on unique AI-powered features and user experience

  • Market adoption: Partner with educational institutions for validation

  • Regulatory changes: Stay updated with educational technology regulations



Conclusion

MathGenius Pro represents a comprehensive solution for modern mathematics education, combining traditional pedagogical approaches with cutting-edge AI technology. The platform addresses the core need for personalized, interactive learning while providing educators with powerful tools to enhance their teaching effectiveness.


The project's success will depend on seamless integration of OpenAI capabilities, intuitive user experience design, and strong educational partnerships. With proper execution, this platform has the potential to significantly impact mathematics education globally.



Next Steps for Implementation

  1. Technical Setup: Initialize MERN stack development environment

  2. OpenAI Integration: Set up API access and test basic problem-solving workflows

  3. Database Design: Implement MongoDB schemas and data relationships

  4. UI/UX Design: Create wireframes and design system

  5. MVP Development: Focus on core features for initial user testing

  6. User Testing: Engage with target users for feedback and iteration


This comprehensive specification provides the foundation for building a robust, scalable, and educationally effective mathematics learning platform powered by AI technology.



Get a First Look at MathGeniusAI




📣 Codersarts Value Add:

  • ✍️ AI Prompt Engineering & Fine-Tuning

  • 🔧 Full-stack Development (Frontend + Backend)

  • 🎓 Education UX Optimization

  • 🔐 Secure Hosting & Scalable Architecture

  • 🧪 MVP Demo Setup for Investors or Pilot Use



At Codersarts, we can build your vision of a math tutorial and quiz platform powered by OpenAI from scratch. We’ll handle the technical complexity of MERN + AI, so you can focus on content and teaching.Let us take this forward as a full SaaS platform or MVP pilot version based on your budget and target audience. Want to hop on a quick call to discuss how we can bring this to life?

Reach us directly:



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