The Ultimate Math Problem Generator
Customize your Math Word Problem prompt below.
Step 1: Target Audience
Select your preferences for Target Audience below.
Step 2: Mathematical Domain
Select your preferences for Mathematical Domain below.
Step 3: Specific Topic Focus
Select your preferences for Specific Topic Focus below.
Step 4: Real-World Scenario
Select your preferences for Real-World Scenario below.
Step 5: Problem Structure
Select your preferences for Problem Structure below.
Step 6: Student Interests
Select your preferences for Student Interests below.
Step 7: Cognitive Depth
Select your preferences for Cognitive Depth below.
Step 8: Educational Standards
Select your preferences for Educational Standards below.
Step 9: Language & Tone
Select your preferences for Language & Tone below.
Step 10: Differentiation Strategy
Select your preferences for Differentiation Strategy below.
Step 11: Output Format
Select your preferences for Output Format below.
Step 12: Inclusivity & Accessibility
Select your preferences for Inclusivity & Accessibility below.
Step 13: Grading & Support
Select your preferences for Grading & Support below.
Step 14: Extra Parameters
Select your preferences for Extra Parameters below.
Step 15: Context & Specifics
Enter any specific details or goals here.
Step 16: Your Custom Prompt
Copy your prompt below.
MiraclePrompts.com is designed as a dual-engine platform: part Creation Engine and part Strategic Consultant. Follow this workflow to engineer the perfect response from any AI model.
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1. Navigate the 14 Panels
The interface is divided into 14 distinct logical panels. Do not feel pressured to fill every single oneβonly select what matters for your specific task.
Use the 17 Selectors: Click through the dropdowns or buttons to define parameters such as Role, Tone, Audience, Format, and Goal.
Consult the Term Guide
Unsure if you need a "Socratic" or "Didactic" tone? Look at the Term Guide located below/beside each panel. It provides instant definitions to help you make the pro-level choice.
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3. Input Your Data (Panel 15)
Locate the Text Area in the 15th panel.
Dump Your Data: Paste as much information as you wish here. This can be rough notes, raw data, pasted articles, or specific constraints.
No Formatting Needed: You donβt need to organize this text perfectly; the specific parameters you selected in Phase 1 will tell the AI how to structure this raw data.
- 2. The Pro Tip Area (Spot Check) Before moving on, glance at the Pro Tip section. This dynamic area offers quick, high-impact advice on how to elevate the specific selections youβve just made.
4. Miracle Prompt Pro: The Insiderβs Playbook
Master the Mechanics: This isn't just a help file; it contains 10 Elite Tactics used by expert engineers. Consult this playbook to unlock advanced methods like "Chain of Thought" reasoning and "Constraint Stacking."
- 5. NotebookLM Power User Strategy Specialized Workflow: If you are using Googleβs NotebookLM, consult these 5 Tips to leverage audio overviews and citation features.
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6. Platform Deployment Guide
Choose Your Weapon: Don't just paste blindly. Check this guide to see which AI fits your current goal:
- Select ChatGPT/Claude for creative reasoning.
- Select Perplexity for real-time web search.
- Select Copilot/Gemini for workspace integration.
- 7. Generate Click the Generate Button. The system will fuse your Phase 1 parameters with your Phase 2 context.
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8. Review (Panel 16)
Your engineered prompt will appear in the 16th Panel.
Edit: Read through the output. You can manually tweak or add last-minute instructions directly in this text box.
Update: If you change your mind, you can adjust a panel above and hit Generate again. - 9. Copy & Deploy Click the Copy Button. Your prompt is now in your clipboard, ready to be pasted into your chosen AI platform for a professional-grade result.
Need a refresher? Check the bottom section for a rapid-fire recap of this process and answers to common troubleshooting questions.
Math Word Problem Generator: The Ultimate 16-Step Miracle Prompts Pro
The Math Word Problem Generator is your forensic blueprint for constructing pedagogically precise, high-engagement learning materials. By leveraging this architectural tool, educators can transcend generic textbook examples and engineer custom scenarios that resonate deeply with student interests. Whether targeting procedural fluency or abstract reasoning, this strategic framework ensures you dominate the curriculum with targeted, standards-aligned content that bridges the gap between confusion and mastery.
Step Panel Term Reference Guide
Step 1: Target Audience
Why it matters: Defining the audience dictates the complexity of vocabulary, sentence structure, and cognitive load required for the problem.
- Early Learners (Pre-K): Focuses on concrete object counting, simple shapes, and foundational numeracy.
- Kindergarten: Introduces basic addition/subtraction concepts within highly familiar, tangible contexts.
- Grades 1 - 2: Targets developing fluency in arithmetic and understanding base-ten systems.
- Grades 3 - 5: Expands to multiplication, division, and initial fraction concepts with multi-step logic.
- Middle School (6-8): Bridges arithmetic to algebra, focusing on ratios, proportions, and negative numbers.
- High School (9-12): Engages with abstract algebra, geometry proofs, and calculus fundamentals.
- College / University: Advanced application of theory, proofs, and specialized field mathematics.
- Adult Learners: Practical, life-skill oriented math focusing on finance, measurement, and logic.
- Special Education: Prioritizes accessibility, clear language, and modified difficulty levels.
- Gifted & Talented: Requires non-routine problems, higher abstraction, and creative synthesis.
- ESL / ELL Students: Minimizes linguistic complexity while maintaining mathematical rigor.
- Homeschoolers: Flexible pacing often integrating household or real-life learning scenarios.
- Vocational Students: Highly applied math specific to trades like carpentry, culinary arts, or electrical.
- Remedial Math: Focuses on gap-closing, foundational reinforcement, and confidence building.
- Competition Math: Emphasizes trickiness, pattern recognition, and speed-solving techniques.
- Peer Tutors: Structured to help students explain concepts to others, reinforcing their own learning.
- Teacher Training: Meta-cognitive problems designed to teach pedagogy and error analysis.
- Other: Custom audience definition for niche groups or mixed-ability classrooms.
Step 2: Mathematical Domain
Why it matters: Pinpointing the domain ensures the AI generates mathematically accurate content relevant to the specific branch of study.
- Counting & Cardinality: The fundamental building blocks of quantity and number sequence.
- Basic Arithmetic: The four operations (addition, subtraction, multiplication, division) in integer forms.
- Fractions / Decimals: Parts of a whole, precision, and conversion between formats.
- Ratios & Proportions: Comparative relationships, scaling, and proportional reasoning.
- Pre-Algebra: Variables, expressions, and the transition from arithmetic to symbolic math.
- Linear Algebra: Systems of linear equations, vector spaces, and matrices.
- Geometry (2D / 3D): Shapes, sizes, relative positions, and properties of space.
- Trigonometry: Relationships between side lengths and angles of triangles.
- Calculus (Diff / Int): Analysis of rates of change (derivatives) and accumulation (integrals).
- Statistics & Probability: Data collection, analysis, interpretation, and chance events.
- Financial Math: Interest, annuities, loans, and time value of money calculations.
- Logic & Sets: Formal reasoning, truth tables, and set theory operations.
- Discrete Math: Structures that are fundamentally discrete rather than continuous (graphs, combinatorics).
- Number Theory: Properties of integers, primes, divisibility, and cryptography basics.
- Vectors & Matrices: Direction, magnitude, and transformations in multi-dimensional space.
- Complex Numbers: Imaginary units and calculations on the complex plane.
- Data Science: Algorithmic data processing, regression analysis, and predictive modeling.
- Other: Specialized niche fields like Topology or Game Theory.
Step 3: Specific Topic Focus
Why it matters: Narrowing the focus prevents generic problems and targets specific learning objectives or misconceptions.
- Place Value: Understanding the value of digits based on their position.
- Order of Operations: Mastering PEMDAS/BODMAS hierarchies in calculation.
- Solving for X: Isolating variables to find unknown values in equations.
- Graphing Functions: Visualizing mathematical relationships on a coordinate plane.
- Area & Perimeter: Measuring 2D space and boundary lengths.
- Volume & Surface Area: Measuring 3D capacity and exterior area.
- Pythagorean Theorem: Calculating sides of right-angled triangles.
- Systems of Equations: Finding intersection points of multiple linear functions.
- Quadratics: Parabolic functions, factoring, and the quadratic formula.
- Exponents / Logs: Growth, decay, and inverse logarithmic relationships.
- Mean / Median / Mode: Measures of central tendency in data sets.
- Standard Deviation: Measuring data dispersion and variability.
- Derivatives: Calculating instantaneous rates of change.
- Integrals: Calculating areas under curves.
- Limits & Continuity: Analyzing function behavior at specific points or infinity.
- Unit Conversion: Translating measurements between different systems.
- Currency Exchange: Real-world application of ratios involving money.
- Other: Any granular sub-topic like Significant Figures or Scientific Notation.
Step 4: Real-World Scenario
Why it matters: Contextualizing math in reality increases engagement and demonstrates the practical utility of abstract concepts.
- Grocery Shopping: Budgeting, discounts, and quantity estimation.
- Personal Finance: Savings, loans, interest rates, and tax calculations.
- Architecture: Design, scale models, and structural geometry.
- Sports Analytics: Batting averages, win rates, and physics of motion.
- Cooking / Baking: Ratio adjustments, recipe scaling, and unit conversion.
- Travel Planning: Distance, speed, time, and currency conversion.
- Business Profit / Loss: Revenue, expenses, margins, and break-even points.
- Engineering Projects: Load bearing, material costs, and physics applications.
- Medical Dosage: Precision calculation based on body weight and concentration.
- Environmental Science: Carbon footprints, population growth, and resource depletion.
- Space Exploration: Orbital mechanics, distances, and fuel calculations.
- Video Game Design: Logic gates, physics engines, and coordinate systems.
- Music & Acoustics: Frequencies, wave patterns, and rhythmic fractions.
- Gardening / Farming: Area planning, yield estimation, and resource allocation.
- Social Media Trends: Viral growth rates and engagement analytics.
- Historical Events: Analyzing dates, timelines, and historical data.
- Fantasy Setting: Using math in fictional worlds (e.g., dragon flight speed).
- Other: Niche scenarios like Cyber Security or Fashion Design.
Step 5: Problem Structure
Why it matters: The structure dictates how the student interacts with the problem, challenging different cognitive faculties.
- Single-Step Direct: Straightforward application of one concept to find an answer.
- Multi-Step Logic: Requires chaining multiple operations or deductions.
- Missing Information: Forces students to identify what data is needed to solve.
- Too Much Info (Filter): Challenges students to discern relevant from irrelevant data.
- Open-Ended / Multiple: Problems with more than one valid solution or path.
- Error Analysis (Fix It): presenting an incorrect solution for the student to debug.
- Compare & Contrast: Analyzing two different scenarios or methods.
- Reverse Engineering: Starting with the answer and working backward to the question.
- Fermi Problem (Est.): Rough estimation using powers of ten and logical assumptions.
- Pattern Recognition: Identifying sequences or recursive relationships.
- Data Interpretation: Extracting values from charts, graphs, or tables.
- Proof / Justification: Requiring written explanation of the mathematical validity.
- Optimization: Finding the maximum or minimum value in a given context.
- Rates of Change: Analyzing how one variable affects another over time.
- Sequencing Steps: Ordering operations or logical steps correctly.
- Mental Math Focus: Designed to be solvable without paper or calculators.
- Visual / Diagram Based: Relying heavily on geometric or spatial interpretation.
- Other: Hybrid structures or game-based mechanics.
Step 6: Student Interests
Why it matters: Leveraging high-interest topics is a proven "hook" that reduces math anxiety and increases time-on-task.
- Superheroes: Physics of powers, saving cities, and team logistics.
- Minecraft / Roblox: Block counts, resource crafting, and virtual economies.
- Space / Sci-Fi: Interstellar travel, alien biology, and futuristic tech.
- Sports (Soccer/Ball): Scoring statistics, field dimensions, and tournament brackets.
- Animals / Pets: Feeding schedules, habitat sizes, and vet care costs.
- Cars / Vehicles: Speed, fuel efficiency, and mechanical engineering.
- Music / Pop Stars: Concert attendance, streaming revenue, and tour logistics.
- Dinosaurs: Size comparisons, time periods, and fossil excavation.
- Fairy Tales: Magical item counting, castle dimensions, and potion mixing.
- Detectives / Mystery: Using logic to solve crimes or find hidden objects.
- YouTube / Streaming: Follower growth, ad revenue, and video editing times.
- Food / Pizza: Fraction division, ingredient ratios, and party planning.
- Fashion / Design: Fabric measurements, cost of goods, and trend analysis.
- Pirates / Adventure: Treasure maps, coordinate navigation, and loot division.
- Robots / AI: Programming logic, battery life, and task efficiency.
- Magic / Wizards: Spell component ratios and magical creature taxonomy.
- Nature / Outdoors: Hiking distances, elevation gain, and ecosystem tracking.
- Other: Specific niche interests like Trains or Collecting.
Step 7: Cognitive Depth
Why it matters: Aligns the problem with Bloom's Taxonomy to ensure the appropriate level of intellectual rigor.
- Remembering (Recall): Retrieving facts or definitions from memory.
- Understanding (Explain): Constructing meaning from messages or graphics.
- Applying (Solve): Using a procedure in a given situation.
- Analyzing (Connect): Breaking material into parts and determining relationships.
- Evaluating (Justify): Making judgments based on criteria and standards.
- Creating (Design): Putting elements together to form a coherent whole.
- Low Floor / High Ceiling: Accessible to all, but extendable for advanced learners.
- Conceptual Understanding: Focus on the "why" rather than just the "how".
- Procedural Fluency: Speed and accuracy in calculation.
- Strategic Competence: Ability to formulate and represent problems.
- Adaptive Reasoning: Capacity for logical thought and reflection.
- Critical Thinking: Skeptical analysis of the problem premise.
- Metacognition: Thinking about one's own thinking process.
- Abstract Reasoning: manipulating thoughts without concrete examples.
- Spatial Reasoning: Mental manipulation of 2D/3D shapes.
- Algorithmic Thinking: Developing a step-by-step solution process.
- Creative Problem Solving: Divergent thinking to find novel solutions.
- Other: Specific cognitive frameworks like Webb's Depth of Knowledge.
Step 8: Educational Standards
Why it matters: Ensures compliance with local or international curriculum requirements for assessment validity.
- Common Core (CCSS): US-based standards emphasizing process and practice.
- TEKS (Texas): Specific essential knowledge and skills for Texas schools.
- NGSS (Science/Math): Next Generation Science Standards with math integration.
- IGCSE / GCSE (UK): British curriculum standards for secondary education.
- IB PYP (Primary): International Baccalaureate inquiry-based primary framework.
- IB MYP (Middle): IB framework connecting classroom work to the world.
- IB DP (Diploma): Rigorous pre-university international standards.
- Australian Curriculum: National standards for Australian education.
- Ontario Curriculum: Provincial standards for Canadian (Ontario) schools.
- CBSE / ICSE (India): Centralized Indian educational board standards.
- Singapore Math: Focus on mastery, visualization, and problem-solving.
- NCTM Standards: National Council of Teachers of Mathematics principles.
- SAT / ACT Prep: Standardized test formatting for US college admissions.
- GED Prep: High school equivalency test standards.
- GRE / GMAT: Graduate level reasoning and analytical writing.
- State Specific (Non-CCSS): Standards for states like VA, FL, or NE.
- Montessori Method: Concrete, self-directed learning principles.
- Other: Custom or private school curriculum alignment.
Step 9: Language & Tone
Why it matters: The tone affects student approachability; formal tones mimic tests, while fun tones encourage exploration.
- Formal Academic: Standard textbook language, precise and objective.
- Conversational / Fun: Casual, engaging, using slang or humor.
- Direct / Minimalist: Stripped of all fluff, focusing purely on data.
- Storytelling / Narrative: Embeds the math in a cohesive short story.
- Encouraging / Gentle: Uses positive reinforcement and supportive phrasing.
- Urgent / Mission-Based: "You have 5 minutes to save the city!" style.
- Humorous / Witty: Includes jokes or puns to lighten the cognitive load.
- Inquiry-Based (Ask Why): Prompts students to question the premise.
- Socratic Method: Guides students with questions rather than statements.
- Peer-to-Peer Style: Written as if by another student.
- Simple English (ELL): Simplified syntax for language learners.
- Technical / Precise: High-level vocabulary for advanced rigor.
- Role-Playing (RPG): Addresses the student as a character (e.g., "Commander").
- Mystery / Detective: Presents the problem as a case to be solved.
- Challenge / Competitive: Framed as a contest or high-stakes challenge.
- Philosophical: Connects math to deeper existential questions.
- Visual / Descriptive: Highly imagery-laden text to aid visualization.
- Other: Specific stylistic mimicry (e.g., Shakespearean).
Step 10: Differentiation Strategy
Why it matters: Tailors content to diverse learner needs, ensuring accessibility for struggling students and challenge for advanced ones.
- Scaffolded Hints: Progressive clues that appear if the student is stuck.
- Extension Challenges: "Bonus" questions for fast finishers.
- Simplified Vocabulary: Reducing lexical density without changing math difficulty.
- Visual Supports / Icons: Adding pictograms to represent key terms.
- Step-by-Step Breakdown: Deconstructing the problem into micro-tasks.
- Worked Examples: Providing a solved model next to the problem.
- Parallel Tasks: Problems with same concept but different complexity.
- Choice Boards: allowing students to pick which problem to solve.
- Audio / Text-to-Speech: Formatting for screen readers.
- Sentence Starters: Providing the first words of the written answer.
- Graphic Organizers: Templates to help structure thoughts.
- Formula Sheets: Providing necessary equations to reduce memory load.
- Realia / Manipulatives: Suggesting physical objects to aid solving.
- Group Work Roles: Assigning specific tasks (e.g., recorder, calculator).
- Self-Checking: Mechanisms for immediate feedback.
- Gamified Elements: Points, badges, or levels.
- Tiered Difficulty: Green (easy), Yellow (medium), Red (hard) versions.
- Other: Individual Education Plan (IEP) specific adjustments.
Step 11: Output Format
Why it matters: Determines the physical or digital medium of the final resource, optimizing it for the intended delivery method.
- Printable Worksheet: Standard A4/Letter format for classroom handout.
- Interactive Quiz: Format suitable for Kahoot, Quizizz, or LMS.
- Project Brief: Long-form assignment description.
- Escape Room Clues: Segmented problems revealing codes.
- Lesson Plan Hook: Opening activity to grab attention.
- Exit Ticket: Short, quick check for understanding.
- Warm-Up / Bell Ringer: Introductory problem to start class.
- Task Cards: Individual cards for rotation stations.
- Discussion Prompts: Open questions for class debate.
- Video Script: Text formatted for reading on camera.
- Flashcards: Rapid-fire question/answer pairs.
- Digital Slide Deck: One problem per slide for projection.
- Jeopardy Game: Category-based questions with varying points.
- Scavenger Hunt: Problems leading to physical locations.
- Coding Challenge: Math logic applied to code syntax.
- Journal Prompt: Reflective writing on mathematical concepts.
- Role-Play Script: Dialogue containing math problems.
- Other: Augmented Reality (AR) markers or 3D print files.
Step 12: Inclusivity & Accessibility
Why it matters: Ensures the content is equitable and usable by students with varying physical, neurological, and cultural backgrounds.
- Dyslexia Friendly Font: Using OpenDyslexic or sans-serif fonts with heavy bottoms.
- Color Blind Safe: Avoiding red/green coding for data differentiation.
- Culturally Diverse Names: Using names from various global origins.
- Gender Neutral Names: Using names like Alex, Jordan, or "The Student".
- High Contrast: Black text on white/yellow backgrounds.
- Low Distraction: Removing decorative clip art that causes cognitive overload.
- Read Aloud Ready: Phrasing that flows well for text-to-speech tools.
- Chunked Text: Breaking large paragraphs into bullet points.
- Visual Aids Included: Diagrams that directly support the text.
- Avoid Idioms (ELL): Removing cultural colloquialisms that confuse non-native speakers.
- Metric & Imperial: Providing both unit systems for global understanding.
- Neurodiverse Friendly: Clear, unambiguous instructions.
- Positive Reinforcement: Embedding encouraging phrases.
- Trauma Informed: Avoiding triggering scenarios (e.g., violence, loss).
- Variable Variables: Using 'x' and 'y' vs specific objects to reduce bias.
- Print Friendly: Minimal ink usage design.
- Large Print: 18pt+ font for visually impaired students.
- Other: Braille-ready formatting.
Step 13: Grading & Support
Why it matters: Provides the necessary infrastructure for assessment, feedback, and independent study.
- Answer Key (Basic): Simple list of correct final values.
- Detailed Explanations: Step-by-step walkthrough of the solution.
- Rubric Included: Scoring guide for open-ended or project work.
- Common Pitfalls List: Anticipating where students usually fail.
- Success Criteria Checklist: Student-facing list of requirements.
- Parent Guide: Tips for parents helping with homework.
- Peer Review Sheet: Structure for students to grade each other.
- Self-Assessment Form: Reflection sheet for the learner.
- Extension Questions: Deeper questions for further thought.
- Video Explanation Link: Placeholder for a QR code/link to a tutorial.
- Partial Credit Guide: How to score work that is half-right.
- Reflection Questions: Prompts to solidify the learning experience.
- Standards Map: Showing exactly which standard each question hits.
- Hint Cards: Printable cards to hand out during struggle.
- Example Solutions: Perfect "model" answers for reference.
- Data Tracker: Sheet for recording progress over time.
- Certificate of Completion: Reward for finishing the task.
- Other: Digital badges or automated grading scripts.
Step 14: Extra Parameters
Why it matters: Adds constraints or creative twists that define the logistics and atmosphere of the problem solving session.
- Include Graphics / Art: Requesting image generation prompts or ASCII art.
- No Calculator Allowed: Ensuring numbers are clean enough for manual math.
- Calculator Active: Using messy real-world numbers requiring tech.
- Timed Challenge (Speed): Short, punchy problems designed for drills.
- Group Project Mode: Problems requiring collaboration to solve.
- Individual Focus: Solo deep-work tasks.
- Remote Learning Friendly: Adaptable for Zoom/Teams breakout rooms.
- Mobile Phone Compatible: Vertical formatting for small screens.
- Eco-Friendly (Paperless): Designed for digital annotation.
- Cross-Curricular (History): Math based on historical dates/facts.
- Cross-Curricular (Science): Math based on physics/chem data.
- Cross-Curricular (Art): Math based on perspective or golden ratio.
- Real Data Sets: Using actual statistics from valid sources.
- Historical Figures: Featuring famous mathematicians.
- Ethics / Moral Dilemma: Math problems with a social conscience.
- Career Connections: "You are an Architect" framing.
- Humorous Distractors: Funny irrelevant info to test filtering.
- Other: Constraints like "Use only prime numbers".
Execution & Deployment
- Step 15: Context Injection: This is the "Soul" of your prompt. Enter specific details like "A pizza party for a class of 30 where 20% are vegan" or "Calculate the trajectory of a water balloon". The more specific the context, the less generic the AI output.
- Step 16: Desired Output Format: The system generates a forensic prompt block. Copy this directly into your chosen AI model. Do not edit the generated prompt; it is architected to force the AI into an "Expert Persona" state.
β¨ Miracle Prompts Pro: The Insiderβs Playbook
- The "Spiral" Method: Use the tool to generate 3 versions of the same problem, increasing "Cognitive Depth" each time.
- The "Remix" Hack: Generate a problem for "Sports", then swap the variable to "Cooking" to see how the math remains constant.
- Misconception Trap: Specifically ask for "Error Analysis" (Step 5) to generate problems that expose common student mistakes.
- The "Fermi" Estimator: Use Step 5 to create problems that have no exact answer, fostering estimation skills.
- Data Injection: In Step 15, paste a small CSV or data table and ask the AI to generate problems based *only* on that data.
- Role Reversal: Use the tool to generate a prompt that asks the *student* to create the word problem.
- Vocab Buster: Select "Simplified Vocabulary" (Step 10) to instantly differentiate for ELL students without lowering math rigor.
- The "Hook" Generator: Use Step 11 "Lesson Plan Hook" to create 5-minute warm-ups that start the class with high energy.
- Standards Aligner: Use Step 8 to force the AI to cite the specific Common Core standard code next to each question.
- Visualizer: Request "Visual / Diagram Based" (Step 5) and use the output to prompt an image generator for the diagram.
π NotebookLM Power User Strategy
- Curriculum Ingestion: Upload your PDF textbook or curriculum guide into NotebookLM.
- The Filter: Use the generated prompt from this tool as a "Question" in NotebookLM to force it to use *only* your textbook's methods.
- Audio Overview: Generate a "Deep Dive" audio conversation explaining the solution to the word problem for auditory learners.
- Source Grounding: Ensure the generated word problems cite specific page numbers from your uploaded curriculum.
- Differentiated Sets: Ask NotebookLM to take one generated problem and rewrite it for three different reading levels automatically.
π Platform Deployment Guide
- Claude 3.5 Sonnet: The "Pedagogue." Best for generating highly nuanced, story-driven word problems where the narrative is essential to the math. Excellent at adopting specific tones (e.g., "Mystery").
- ChatGPT-4o: The "Factory." Superior for bulk generation (e.g., "Create 20 unique variations of this worksheet"). Excellent for formatting outputs into tables or LaTeX for equations.
- Gemini 1.5 Pro: The "Researcher." Unrivaled for real-world data integration. Use it to generate problems based on *current* events, stock prices, or scientific data retrieved in real-time.
- Microsoft CoPilot: The "Integrator." Best for teachers using the Office 365 ecosystem. Generate the problem and immediately export it to a Word doc or OneNote class notebook.
- Perplexity: The "Fact-Checker." Use this to verify the "Real-World" constants in your problem (e.g., "What is the actual density of gold?") to ensure your word problems are scientifically accurate.
β‘ Quick Summary
The Math Word Problem Generator is a forensic 16-step architectural tool designed for educators. It transforms generic AI interactions into pedagogically precise sessions, allowing you to generate standards-aligned, differentiated, and high-interest math problems tailored to specific student needs and learning gaps.
π Key Takeaways
- The Spiral Method: Use the tool to generate three distinct versions of the same problem, increasing the "Cognitive Depth" (Step 7) with each iteration.
- Real-World Anchoring: The framework emphasizes Step 4 (Real-World Scenarios) to move beyond abstract numbers into concrete applications like Financial Math or Engineering.
- Differentiation Engine: Step 10 allows for instant creation of scaffolded hints, simplified vocabulary (ELL), or extension challenges within a single prompt generation.
- Platform Specificity: The guide identifies Claude 3.5 Sonnet as the superior model for narrative/story-based math problems, while Gemini 1.5 Pro excels at real-time data integration.
- Inclusivity First: The tool includes dedicated parameters (Step 12) for Dyslexia-friendly fonts, color-blind safety, and culturally diverse names.
β Frequently Asked Questions
Q: Which AI model is best for Math Word Problems?
A: We recommend Claude 3.5 Sonnet for story-driven, logic-heavy problems due to its nuance. Use Gemini 1.5 Pro if you need to incorporate real-time data or current events into the math.
Q: How does this tool help with differentiation?
A: Step 10 of the framework allows you to specifically request "Scaffolded Hints," "Parallel Tasks," or "Tiered Difficulty" (Green/Yellow/Red), ensuring the AI generates accessible content for all ability levels.
Q: Can I use this for non-Common Core standards?
A: Yes. Step 8 (Educational Standards) includes options for TEKS, IGCSE, IB (PYP/MYP/DP), and other international curriculums, forcing the AI to align the rigor accordingly.
β The Golden Rule: You Are The Captain
MiraclePrompts gives you the ingredients, but you are the chef. AI is smart, but it can make mistakes. Always review your results for accuracy before using them. It works for you, not the other way around!
Transparency Note: MiraclePrompts.com is reader-supported. We may earn a commission from partners or advertisements found on this site. This support allows us to keep our "Free Creators" accessible and our educational content high-quality.
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