MathMentorDB: A Large-Scale Corpus of Mathematics Tutoring Dialogues
Dataset Description
MathMentorDB is a large-scale corpus of authentic mathematics tutoring dialogues derived from an online Mathematics Discord server. The dataset comprises 5.5 million messages across 200,332 conversations involving 43,249 unique users, capturing real-time student-tutor interactions at unprecedented scale.
This dataset addresses the gap between traditional small-scale educational research and the needs of modern NLP applications by providing authentic, naturally-occurring tutoring conversations from a diverse, global participant pool.
Key Features
- 5.5 million messages across 200,000+ conversations
- 43,249 unique users (students and volunteer tutors)
- Fully pseudonymized to protect user privacy
- Rich metadata: conversation structure, user roles, timestamps, channel information
- Multi-party dialogues showing collaborative problem-solving
- High-quality conversation disentanglement (Cohen's kappa = 0.98 inter-annotator agreement)
- Diverse mathematical topics: from basic arithmetic through university-level mathematics
- Authentic help-seeking behavior: captures real student questions and tutoring strategies
Dataset Statistics
| Metric | Value |
|---|---|
| Total messages | 5,452,947 |
| Conversations | 200,332 |
| Unique users | 43,249 |
| Help channels | 32 |
| Average messages per conversation | ~27 |
| File size (compressed) | 235 MB |
Supported Tasks
- Question classification: Categorize student questions by cognitive level (procedural, conceptual, exploratory)
- Dialogue analysis: Study authentic educational conversations and discourse patterns
- Educational discourse analysis: Analyze teaching and learning interactions
- Tutoring strategy detection: Identify effective tutoring moves and pedagogical techniques
- Help-seeking behavior analysis: Understand how students formulate questions
- Response quality assessment: Evaluate tutor responses for effectiveness
- Conversation flow modeling: Study multi-turn educational dialogues
- Educational chatbot development: Train and evaluate tutoring systems
- Sentiment analysis: Analyze emotional aspects of learning interactions
- Topic modeling: Identify common mathematical topics and difficulty patterns
Dataset Structure
Data Instances
Each row represents a single message within a conversation. Messages are ordered chronologically and grouped by conversation ID.
Example instance:
{
'conversation_id': 1,
'help_channel': 'help-10',
'__rowid__': '64b250c38b084d7cb8ca65842aee515a',
'author_id': '377426871932944386',
'author_name': 'Christopher Gonzalez',
'text': 'Can someone help me understand limits?',
'timestamp': '2023-01-15T14:23:01',
'isStudent': True,
'isHelper': False,
'isBot': False
}
Data Fields
| Field | Type | Description |
|---|---|---|
conversation_id |
int64 | Unique identifier for each conversation thread (1 to 200,332) |
help_channel |
string | Discord channel where conversation occurred (e.g., "help-10") |
__rowid__ |
string | Unique message identifier (hash) |
author_id |
string | Pseudonymized user ID (consistent across messages) |
author_name |
string | Pseudonymized author name (fake name generated for anonymity) |
text |
string | Message content (may include LaTeX, code, URLs) |
timestamp |
string | ISO 8601 timestamp of when message was sent |
isStudent |
boolean | True if author is seeking help in this conversation |
isHelper |
boolean | True if author is providing help in this conversation |
isBot |
boolean | True if message is from an automated bot |
Note on roles: Users can be both students and helpers in different conversations. Role labels are conversation-specific.
Data Splits
| Split | Messages | Conversations |
|---|---|---|
| train | 5,452,947 | 200,332 |
Currently released as a single split. Researchers should create their own train/validation/test splits based on conversation IDs to avoid data leakage (do not split within conversations).
Recommended split strategy:
# Split by conversation_id to avoid leakage
unique_conv_ids = dataset['train'].unique('conversation_id')
train_ids = unique_conv_ids[:160000] # 80%
val_ids = unique_conv_ids[160000:180000] # 10%
test_ids = unique_conv_ids[180000:] # 10%
Dataset Size
- Downloaded files: 235 MB (parquet format)
- Uncompressed: ~235 MB
- Number of rows: 5,452,947
- Number of conversations: 200,332
- Number of unique users: 43,249
Dataset Creation
Source Data
Initial Data Collection
Data was collected from the Mathematics Discord Server, a public online community where students from around the world seek help with mathematics problems and volunteer tutors provide assistance. The server includes dedicated help channels where students post questions and receive responses from peer tutors.
Mathematics topics covered:
- Arithmetic and pre-algebra
- Algebra (I, II, linear, abstract)
- Geometry and trigonometry
- Calculus (I, II, III, multivariable)
- Differential equations
- Linear algebra
- Probability and statistics
- Discrete mathematics
- Number theory
- Real analysis
- Abstract algebra
- And more advanced topics
Data Collection Process
- Channel selection: Only public help channels included (32 channels total)
- Message extraction: All messages from selected channels collected
- Format: Raw Discord message data (JSON)
Curation Process
Conversation Disentanglement
The primary methodological contribution is high-quality conversation disentanglement:
- Thread detection: Used Discord's reply structure and temporal analysis
- Manual annotation: Sample of 500+ conversations annotated by domain experts
- Inter-annotator agreement: Cohen's kappa = 0.98 (near-perfect agreement)
- Validation: Multiple annotators verified conversation boundaries
This disentanglement quality (κ=0.98) is significantly higher than typical dialogue datasets and was achieved without machine learning, using careful rule-based methods and human validation.
Pseudonymization
All personally identifiable information was removed or replaced:
- Usernames: Replaced with consistent fake names (e.g., "Christopher Gonzalez")
- User IDs: Hashed to pseudonymous IDs (consistent per user)
- External links: Preserved (educational resources, homework platforms)
- Uploaded images: Not included in this text-only version
- Mentions: Replaced with pseudonymous names
The pseudonymization maintains conversation coherence (same user = same pseudonym) while protecting privacy.
Role Labeling
Users labeled as students, helpers, or bots based on:
- Conversation context: Who initiates vs. responds
- Message patterns: Question-asking vs. answer-providing
- User behavior: Historical patterns across conversations
Important: Roles are conversation-specific. A user can be a student in one conversation and a helper in another.
Quality Filtering
Removed:
- Bot commands and administrative messages (flagged with
isBot=True) - Off-topic discussions
- Meta-conversations about server rules
- Duplicate or malformed messages
Preserved:
- All mathematical content
- Social pleasantries (authenticity)
- Informal language (realistic interactions)
Who are the source language producers?
Students
- Demographics: Global participant pool, primarily ages 13-25
- Education level: High school through university undergraduates
- Language: Native and non-native English speakers
- Motivation: Seeking homework help, exam preparation, conceptual understanding
Tutors
- Demographics: Volunteer peer mentors with mathematics expertise
- Education level: Advanced high school students through graduate students
- Motivation: Helping others, practicing teaching, community contribution
Language Characteristics
- Register: Informal, conversational
- Medium: Text-based chat (Discord)
- Features: Abbreviations, emoji, LaTeX math notation, code snippets
- Multilingual: Primarily English with occasional non-English mathematical terminology
Additional Information
Privacy and Ethics
Privacy Considerations
- Public data: All data collected from publicly accessible channels where users expect visibility
- Pseudonymization: All usernames and user IDs replaced with consistent pseudonyms
- No PII: No email addresses, phone numbers, or other personal identifiers
- No private messages: Only public channel conversations included
- Terms of Service: Data collection compliant with Discord Terms of Service
- Community consent: Server moderators aware of and supportive of research use
Ethical Considerations
- Educational benefit: Dataset intended to improve educational technology and tutoring systems
- No re-identification: Researchers must not attempt to de-anonymize users
- Responsible use: Follow ethical guidelines for educational data research
- Student vulnerability: Be mindful that students may be struggling or frustrated
- No harm: Use should not negatively impact the Discord community or students
- Attribution: Acknowledge the community's contribution to education research
Limitations and Biases
Selection bias:
- Users who seek help on Discord may differ from general student population
- Self-selection: motivated students who actively seek help
- Access bias: requires internet access and familiarity with Discord
Platform bias:
- Text-only medium (no voice, video, or whiteboard)
- Asynchronous and synchronous mixing
- Global but English-dominant community
Content bias:
- More homework help than conceptual discussions
- Possible over-representation of certain math topics
- Helper quality varies (peer tutors, not professional educators)
Temporal bias:
- Activity patterns correlate with academic calendar
- More activity during exam periods
- Timezone distribution reflects global participation
Dataset Version and Maintenance
Current version: 1.0 Release date: January 2025 Status: Static release (no ongoing updates planned)
Potential future versions:
- Additional metadata (topic labels, question categories)
- Adjudicated labels from multiple annotators
- Additional time periods
- Image/attachment metadata
Licensing Information
This dataset is released under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.
You are free to:
- Share: Copy and redistribute the material in any medium or format
- Adapt: Remix, transform, and build upon the material for any purpose, including commercially
Under the following terms:
- Attribution: You must give appropriate credit, provide a link to the license, and indicate if changes were made
- No additional restrictions: You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits
See the full license text for details.
Usage Examples
Loading the Dataset
from datasets import load_dataset
# Load the full dataset
dataset = load_dataset("mikeion/mathconverse_pseudonyms")
# Access the data
print(f"Total messages: {len(dataset['train'])}")
print(f"Columns: {dataset['train'].column_names}")
# View first example
print(dataset['train'][0])
Basic Filtering
# Get all messages from a specific conversation
conv_id = 1
conversation = dataset['train'].filter(
lambda x: x['conversation_id'] == conv_id
)
# Get only student messages
student_messages = dataset['train'].filter(
lambda x: x['isStudent'] == True
)
# Get messages from a specific channel
channel_messages = dataset['train'].filter(
lambda x: x['help_channel'] == 'help-10'
)
Conversation Analysis
import pandas as pd
# Convert to pandas for analysis
df = dataset['train'].to_pandas()
# Analyze conversation lengths
conv_lengths = df.groupby('conversation_id').size()
print(f"Average messages per conversation: {conv_lengths.mean():.2f}")
print(f"Median messages per conversation: {conv_lengths.median():.2f}")
# Find most active users
user_activity = df['author_name'].value_counts()
print(f"Most active users:\n{user_activity.head(10)}")
# Analyze student vs helper messages
role_dist = df[['isStudent', 'isHelper']].sum()
print(f"Student messages: {role_dist['isStudent']}")
print(f"Helper messages: {role_dist['isHelper']}")
Creating Train/Validation/Test Splits
# Split by conversation to avoid leakage
conv_ids = df['conversation_id'].unique()
n_conv = len(conv_ids)
# Shuffle and split
import numpy as np
np.random.shuffle(conv_ids)
train_convs = conv_ids[:int(0.8*n_conv)]
val_convs = conv_ids[int(0.8*n_conv):int(0.9*n_conv)]
test_convs = conv_ids[int(0.9*n_conv):]
# Create splits
train_df = df[df['conversation_id'].isin(train_convs)]
val_df = df[df['conversation_id'].isin(val_convs)]
test_df = df[df['conversation_id'].isin(test_convs)]
Question Extraction
# Extract student questions (first student message per conversation)
questions = df[df['isStudent'] == True].groupby('conversation_id').first()
print(f"Total questions: {len(questions)}")
# Analyze question length
questions['text_length'] = questions['text'].str.len()
print(f"Average question length: {questions['text_length'].mean():.2f} characters")
Baseline Results
Preliminary experiments demonstrate the dataset's utility for question classification tasks:
Question Classification Experiment
Task: Classify student questions into 6 categories based on Graesser & Person (1994):
- Basic Inquiry
- Procedural Reasoning
- Causal Reasoning
- Exploratory Inquiry
- Contextual Inquiry
- Assertive Communication
Models evaluated: 5 state-of-the-art LLMs across providers and cost tiers
- GPT-3.5-turbo (baseline, budget)
- GPT-4o-mini (efficient)
- GPT-4o (flagship OpenAI)
- Claude 3.5 Sonnet
- Claude 4.5 Sonnet (best performance)
Results: Macro F1 scores ranging from 0.44 to 0.83
Baselines:
- Zero-R (majority class): F1 = 0.09
- TF-IDF + Logistic Regression: F1 = 0.22
The strong performance of LLMs (substantially outperforming traditional baselines) demonstrates the dataset enables robust NLP experimentation, while the range of results highlights opportunities for improvement and specialized model development.
Citation
If you use this dataset in your research, please cite:
@misc{ion_mathmentordb_2025,
author = {Ion, Michael},
title = {MathMentorDB: A Large-Scale Corpus of Mathematics Tutoring Dialogues},
year = {2025},
publisher = {Hugging Face},
url = {https://huggingface.co/datasets/mikeion/mathconverse_pseudonyms},
doi = {10.57967/hf/6805}
}
Associated conference paper: Forthcoming at LREC-COLING 2026
Related Datasets
- MathDial: Math word problem dialogues (smaller scale, synthetic)
- NCTE: Natural language tutoring dataset (different domain)
- MathQA: Math question-answering (no dialogue context)
- ASSISTments: Educational data (different format, structured)
MathMentorDB uniquely combines large scale, authentic dialogue, and educational context.
Contact and Contributions
Contact
For questions, issues, or collaboration inquiries:
- Hugging Face: @mikeion
- Dataset issues: Open an issue on this repository
Contributions
We welcome:
- Bug reports for data quality issues
- Suggestions for additional metadata or annotations
- Research collaborations using the dataset
- Citations and mentions of work using MathMentorDB
Acknowledgments
We thank the Mathematics Discord Server community and its moderators for creating this valuable educational resource and supporting research use of public channel data. We are grateful to the thousands of volunteer tutors who freely share their mathematical expertise to help students worldwide.
Dataset Version: 1.0 Last Updated: January 2025 DOI: 10.57967/hf/6805
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