Mathematics database.

This dataset code generates mathematical question and answer pairs, from a range of question types at roughly school-level difficulty. This is designed to test the mathematical learning and algebraic reasoning skills of learning models.

Original paper: Analysing Mathematical Reasoning Abilities of Neural Models (Saxton, Grefenstette, Hill, Kohli).

Example usage:

train_examples, val_examples = tfds.load(
  'math_dataset/arithmetic_mul',
  split=['train', 'test'],
  as_supervised=True)

To use this dataset:

import tensorflow_datasets as tfds

ds = tfds.load('math_dataset', split='train')
for ex in ds.take(4):
 print(ex)

See the guide for more informations on tensorflow_datasets.

MathInstruct Dataset: Hybrid Math Instruction Tuning

A curated dataset for math instruction tuning models

By TIGER-Lab (From Huggingface) [source]

About this dataset

MathInstruct is a comprehensive and meticulously curated dataset specifically designed to facilitate the development and evaluation of models for math instruction tuning. This dataset consists of a total of 13 different math rationale datasets, out of which six have been exclusively curated for this project, ensuring a diverse range of instructional materials. The main objective behind creating this dataset is to provide researchers with an easily accessible and manageable resource that aids in enhancing the effectiveness and precision of math instruction.

One noteworthy feature of MathInstruct is its lightweight nature, making it highly convenient for researchers to utilize without any hassle. With carefully selected columns such as source, source, output, output, users can readily identify the origin or reference material from where the math instruction was obtained. Additionally, they can also refer to the expected output or solution corresponding to each specific math problem or exercise.

Overall, MathInstruct offers immense potential in refining hybrid math instruction by facilitating meticulous model development and rigorous evaluation processes. Researchers can leverage this diverse dataset to gain deeper insights into effective teaching methodologies while exploring innovative approaches towards enhancing mathematical learning experiences

How to use the dataset

Title: How to Use the MathInstruct Dataset for Hybrid Math Instruction Tuning

Introduction: The MathInstruct dataset is a comprehensive collection of math instruction examples, designed to assist in developing and evaluating models for math instruction tuning. This guide will provide an overview of the dataset and explain how to make effective use of it.

• Understanding the Dataset Structure: The dataset consists of a file named train.csv. This CSV file contains the training data, which includes various columns such as source and output. The source column represents the source of math instruction (textbook, online resource, or teacher), while the output column represents expected output or solution to a particular math problem or exercise.

• Accessing the Dataset: To access the MathInstruct dataset, you can download it from Kaggle's website. Once downloaded, you can read and manipulate the data using programming languages like Python with libraries such as pandas.

• Exploring the Columns: a) Source Column: The source column provides information about where each math instruction comes from. It may include references to specific textbooks, online resources, or even teachers who provided instructional material. b) Output Column: The output column specifies what students are expected to achieve as a result of each math instruction. It contains solutions or expected outputs for different math problems or exercises.

• Utilizing Source Information: By analyzing the different sources mentioned in this dataset, researchers can understand which instructional materials are more effective in teaching specific topics within mathematics. They can also identify common strategies used by teachers across multiple sources.

• Analyzing Expected Outputs: Researchers can study variations in expected outputs for similar types of problems across different sources. This analysis may help identify differences in approaches across textbooks/resources and enrich our understanding of various teaching methods.

• Model Development and Evaluation: Researchers can utilize this dataset to develop machine learning models that automatically assess whether a given math instruction leads to the expected output. By training models on this data, one can create automated systems that provide feedback on math problems or suggest alternative instruction sources.

• Scaling the Dataset: Due to its lightweight nature, the MathInstruct dataset is easily accessible and manageable. Researchers can scale up their training data by combining it with other instructional datasets or expand it further by labeling more examples based on similar guidelines.

Conclusion: The MathInstruct dataset serves as a valuable resource for developing and evaluating models related to math instruction tuning. By analyzing the source information and expected outputs, researchers can gain insights into effective teaching methods and build automated assessment

Research Ideas

• Model development: This dataset can be used for developing and training models for math instruction...

Street Math Approximation Dataset

A dataset for training language models on mental math approximation and reasoning skills.

  Dataset Description

This dataset contains mental math problems designed to teach approximation strategies and reasoning. Each example includes:

Input: A mental math question requiring approximation Output: The approximate answer using mental math techniques
Exact Answer: The precise mathematical result Bounds: Acceptable approximation range (±10%… See the full description on the dataset page: https://huggingface.co/datasets/Chiung-Yi/StreetMath.

This dataset tracks annual math proficiency from 2012 to 2023 for Range View Elementary School vs. Colorado and Weld County Reorganized School District No. Re-4

The following CSV dataset has been generated based on a range of mathematical models. Each dataset is presented individually and accompanied by labels that correspond to their respective figures and specific values. Fig. 1 provides a visualization of the historical mathematical models discussed in Section 2 of the paper. The input values for these models are taken from Table 1. In this comparison, we include models developed by Hagen, Janssen, Airy, and Reimbert, each represented by its own data file. Fig. 2 emphasizes the discrepancies between the results obtained from the Janssen and Zhang models. Zhang's equations for these models are detailed within the main body of the paper (Section 4.2), and the specific values used for this comparison are explained in the description of Fig. 2.

This dataset tracks annual total students amount from 2013 to 2023 for Range View Elementary School

Dataset Description: A Deep Dive into Prime Gap Distribution and Primorial Harmonics Overview: This dataset offers a comprehensive exploration of prime gap distribution, focusing on the intriguing patterns associated with primorials and their harmonics. Primorials, the product of the first n prime numbers, play a significant role in shaping the landscape of prime gaps. By analyzing the distribution of prime gaps and their relation to primorials, we can gain deeper insights into the fundamental structure of prime numbers. Data Structure: * Power of 2: The base-2 exponent. * Gap Size N: The size of the Nth prime gap following the given power of 2. Key Features: * Primorial Harmonics: The dataset highlights the appearance of prime gaps that are multiples of primorials, suggesting a deeper connection between these numbers and the distribution of primes. * Large Prime Gaps: The dataset includes information on exceptionally large prime gaps, which can provide valuable clues about the underlying structure of the number line. * Prime Number Distribution: The distribution of prime numbers within the specified range is analyzed, revealing patterns and anomalies. Potential Applications: * Number Theory Research: * Investigating the role of primorials in shaping prime gap distribution. * Testing conjectures related to the Riemann Hypothesis and the Twin Prime Conjecture. * Exploring the connection between prime gaps and other mathematical concepts, such as modular arithmetic and number theory functions. * Machine Learning and Data Science: * Training machine learning models to predict prime gap sizes, incorporating primorials as features. * Developing algorithms to identify and analyze primorial-related patterns. * Computational Mathematics: * Benchmarking computational resources and algorithms for prime number generation and factorization. * Developing new algorithms for efficient computation of primorials and their harmonics. How to Use This Dataset: * Data Exploration: * Visualize the distribution of prime gaps, highlighting the occurrence of primorial harmonics. * Analyze the frequency of different gap sizes, focusing on multiples of primorials. * Study the relationship between prime gap size and the corresponding power of 2, considering the influence of primorials. * Machine Learning: * Incorporate features related to primorials and their harmonics into machine learning models. * Experiment with different feature engineering techniques and hyperparameter tuning to improve model performance. * Use the dataset to train models that can predict the occurrence of large prime gaps and other significant patterns. * Number Theory Research: * Use the dataset to formulate and test new conjectures about the distribution of prime gaps and the role of primorials. * Explore the connection between prime gap distribution and other mathematical fields, such as cryptography and coding theory. By leveraging this dataset, researchers can gain a deeper understanding of the intricate patterns and underlying structures that govern the distribution of prime numbers.

Supplement to the Prime Gap Dataset Description Unveiling the Mysteries of Prime Gaps The Prime Gap Dataset offers a unique opportunity to delve into the fascinating world of prime numbers. By analyzing the distribution of gaps between consecutive primes, we can uncover hidden patterns and structures that might hold the key to unlocking the secrets of the universe. Key Features and Potential Insights: * Visual Exploration: Immerse yourself in stunning visualizations of prime gap distributions, revealing hidden patterns and anomalies. * Statistical Analysis: Conduct in-depth statistical analysis to identify trends, correlations, and outliers. * Machine Learning Applications: Employ machine learning techniques to predict prime gap distributions and discover novel insights. * Fractal Analysis: Investigate the potential fractal nature of prime number distributions, revealing self-similarity at different scales. Potential Research Directions: * Uncovering Hidden Patterns: Explore the distribution of prime gaps at various scales to identify emerging patterns and structures. * Predicting Prime Gap Behavior: Develop machine learning models to predict the size and distribution of future prime gaps. * Testing Mathematical Conjectures: Use the dataset to test conjectures related to prime number distribution, such as the Riemann Hypothesis. * Exploring Connections to Other Fields: Investigate the relationship between prime numbers and other mathematical fields, such as chaos theory and information theory. By delving into this rich dataset, you can contribute to the ongoing exploration of one of the most fundamental and enduring mysteries of mathematics.

This paper addresses the computational methods and challenges associated with prime number generation, a critical component in encryption algorithms for ensuring data security. The generation of prime numbers efficiently is a critical challenge in various domains, including cryptography, number theory, and computer science. The quest to find more effective algorithms for prime number generation is driven by the increasing demand for secure communication and data storage and the need for efficient algorithms to solve complex mathematical problems. Our goal is to address this challenge by presenting two novel algorithms for generating prime numbers: one that generates primes up to a given limit and another that generates primes within a specified range. These innovative algorithms are founded on the formulas of odd-composed numbers, allowing them to achieve remarkable performance improvements compared to existing prime number generation algorithms. Our comprehensive experimental results reveal that our proposed algorithms outperform well-established prime number generation algorithms such as Miller-Rabin, Sieve of Atkin, Sieve of Eratosthenes, and Sieve of Sundaram regarding mean execution time. More notably, our algorithms exhibit the unique ability to provide prime numbers from range to range with a commendable performance. This substantial enhancement in performance and adaptability can significantly impact the effectiveness of various applications that depend on prime numbers, from cryptographic systems to distributed computing. By providing an efficient and flexible method for generating prime numbers, our proposed algorithms can develop more secure and reliable communication systems, enable faster computations in number theory, and support advanced computer science and mathematics research.

Overview:

The HindiMathQuest: A Dataset for Mathematical Reasoning and Problem-Solving in Hindi is designed to advance the capabilities of language models in understanding and solving mathematical problems presented in the Hindi language. The dataset covers a comprehensive range of question types, including logical reasoning, numeric calculations, translation-based problems, and complex mathematical tasks typically seen in competitive exams. This dataset is intended to fill a… See the full description on the dataset page: https://huggingface.co/datasets/dnyanesh/HindiMathQuest.

This dataset tracks annual overall school rank from 2012 to 2023 for Range View Elementary School

Introducing the Mathematics Meme Repository

<h2>Abstract</h2>

<p>In the era of digital communication, memes have become a potent medium for conveying ideas, humor, and cultural references. This paper introduces the “Mathematical Mathematics Memes Dataset”, a comprehensive collection of over 10,000 math-related memes sourced from the “Mathematical Mathematics Memes” Facebook group. These memes offer a unique perspective on the intersection of mathematics and humor. We discuss the dataset's origins, content, and potential applications, including meme generation, abusive meme detection, and text extraction for popularity prediction. This dataset serves as a valuable resource for researchers and meme enthusiasts interested in exploring the realm of mathematical memes.</p>

<p><strong>Keywords:</strong> Mathematical Memes, Dataset.</p>

<h2>1. Introduction</h2>

<p>The advent of internet culture has given rise to a vast array of digital content, and memes have emerged as a prominent and influential form of online expression. Memes encompass various themes, including humor, satire, education, and mathematical concepts. In this context, the “Mathematical Mathematics Memes Dataset” stands as a unique collection, focusing on memes related to college-level mathematics and beyond.</p>

<h2>2. Literature Review</h2>

<p>Memes have been the subject of increasing academic interest due to their cultural significance and impact on online discourse. Existing literature in meme analysis primarily focuses on:</p>

<ul>
  <li><strong>Meme Classification:</strong> Scholars have explored methods for categorizing memes based on content, humor type, and cultural references.</li>
  <li><strong>Meme Virality:</strong> Researchers have examined factors contributing to meme virality, such as content novelty, relatability, and emotional resonance.</li>
  <li><strong>Meme Detection:</strong> Algorithms have been developed to detect offensive or abusive memes, contributing to online safety and content moderation.</li>
  <li><strong>Meme Generation:</strong> With the rise of AI, meme generation has also gained attention. Researchers have explored methods for automatically generating memes, including text-based meme generation. AI generative models like ChatGPT have been used to create memes that are contextually relevant and humorous. The “Mathematical Mathematics Memes Dataset” not only provides a rich source of math-related memes but also serves as a valuable resource for studying and improving meme generation algorithms, including those that incorporate mathematical concepts.</li>
</ul>

<h2>3. Dataset Description</h2>

<p><strong>3.1. Data Source:</strong> The dataset can be accessed on Kaggle through the following link: <a href="https://www.kaggle.com/datasets/abdelghanibelgaid/mathematical-mathematics-memes">Mathematical Mathematics Memes Dataset</a>.

</p><p><strong>3.2. Content:</strong> The memes in this dataset cover a wide range of mathematical topics and themes. From clever algebraic jokes to humorous calculus references, this collection captures the creativity and wit of the mathematical community.</p>

<h2>4. Applications</h2>

<ul>
  <li><strong>Generate High-Quality Math Memes:</strong> Creators can use this dataset to gain insights into the structure and content of successful mathematical memes, enabling the generation of high-quality, engaging content. AI generative models like ChatGPT can be employed to assist in meme creation, leveraging the dataset to produce contextually relevant and humorous mathematical memes.</li>
  <li><strong>Text Extraction and Popularity Prediction:</strong> Exploring the extraction of text from memes and predicting their popularity based on content can contribute to our understanding of virality in online content and be a valuable tool for meme creators and marketers seeking to optimize their creations.</li>
  <li><strong>Detect Hateful or Abusive Memes:</strong> Researchers and developers can employ this dataset to develop algorithms and models for the automatic detection of harmful or abusive content, ensuring a safer online environment.</li>
</ul>

<h2>5. Conclusion</h2>

<p>The "Mathematical Mathematics Memes Dataset" offers a valuable resource for researchers and meme enthusiasts, presenting a unique perspective on mathematics and humor. As the digital landscape continues to evolve, understanding the dynamics of mathematical memes can provide insights into online culture and communication. This dataset paves the way for future research into meme classification, virality, content moderation, and AI-assisted meme generation in the context of mathematics, contributing to a deeper understanding of online meme culture.</p>

<h2>Copyright Information</h2>

<p>The c...

This dataset tracks annual total classroom teachers amount from 2013 to 2023 for Range View Elementary School

Description: This dataset (Version 10) contains a collection of research papers along with various attributes and metadata. It is a comprehensive and diverse dataset that can be used for a wide range of research and analysis tasks. The dataset encompasses papers from different fields of study, including computer science, mathematics, physics, and more.

Fields in the Dataset: - id: A unique identifier for each paper. - title: The title of the research paper. - authors: The list of authors involved in the paper. - venue: The journal or venue where the paper was published. - year: The year when the paper was published. - n_citation: The number of citations received by the paper. - references: A list of paper IDs that are cited by the current paper. - abstract: The abstract of the paper.

Example: - "id": "013ea675-bb58-42f8-a423-f5534546b2b1", - "title": "Prediction of consensus binding mode geometries for related chemical series of positive allosteric modulators of adenosine and muscarinic acetylcholine receptors", - "authors": ["Leon A. Sakkal", "Kyle Z. Rajkowski", "Roger S. Armen"], - "venue": "Journal of Computational Chemistry", - "year": 2017, - "n_citation": 0, - "references": ["4f4f200c-0764-4fef-9718-b8bccf303dba", "aa699fbf-fabe-40e4-bd68-46eaf333f7b1"], - "abstract": "This paper studies ..."

Cite: https://www.aminer.cn/citation

A LiDAR-based 3D object detection dataset.

Historical Dataset of Range View Elementary School is provided by PublicSchoolReview and contain statistics on metrics:Total Students Trends Over Years (2013-2023),Total Classroom Teachers Trends Over Years (2013-2023),Distribution of Students By Grade Trends,Student-Teacher Ratio Comparison Over Years (2013-2023),American Indian Student Percentage Comparison Over Years (2011-2023),Asian Student Percentage Comparison Over Years (2021-2022),Hispanic Student Percentage Comparison Over Years (2013-2023),Black Student Percentage Comparison Over Years (2019-2022),White Student Percentage Comparison Over Years (2013-2023),Two or More Races Student Percentage Comparison Over Years (2013-2023),Diversity Score Comparison Over Years (2013-2023),Free Lunch Eligibility Comparison Over Years (2013-2023),Reduced-Price Lunch Eligibility Comparison Over Years (2013-2023),Reading and Language Arts Proficiency Comparison Over Years (2011-2022),Math Proficiency Comparison Over Years (2012-2023),Overall School Rank Trends Over Years (2012-2023)

Students are often asked to explain their mathematical reasoning. These explanations provide rich insight into student thinking and often reveal underlying misconceptions (systematic incorrect ways of thinking).

For example, students often think 0.355 is larger than 0.8 because they incorrectly apply their knowledge of whole numbers to decimals, reasoning that 355 is greater than 8. Students develop a range of misconceptions in math, sometimes because they incorrectly apply prior knowledge to new content and sometimes because they are trying to make sense of new information but misunderstand it. To read more about these definitions and framework, please see the linked report here.

This data was used in the MAP (Misconception Annotation Project) - Charting Student Math Misunderstanding competition. The competition challenged competitors to develop a Natural Language Processing (NLP) model driven by Machine Learning (ML) that predicts students’ potential math misconceptions based on student explanations. The goal was to create a model that identifies potential math misconceptions that generalize across different problems.

This dataset tracks annual distribution of students across grade levels in Range View Elementary School

Technological advances have steadily increased the detail of animal tracking datasets, yet fundamental data limitations exist for many species that cause substantial biases in home‐range estimation. Specifically, the effective sample size of a range estimate is proportional to the number of observed range crossings, not the number of sampled locations. Currently, the most accurate home‐range estimators condition on an autocorrelation model, for which the standard estimation frame‐works are based on likelihood functions, even though these methods are known to underestimate variance—and therefore ranging area—when effective sample sizes are small. Residual maximum likelihood (REML) is a widely used method for reducing bias in maximum‐likelihood (ML) variance estimation at small sample sizes. Unfortunately, we find that REML is too unstable for practical application to continuous‐time movement models. When the effective sample size N is decreased to N ≤ urn:x-wiley:2041210X:media:mee313270:mee313270-math-0001(10), which is common in tracking applications, REML undergoes a sudden divergence in variance estimation. To avoid this issue, while retaining REML’s first‐order bias correction, we derive a family of estimators that leverage REML to make a perturbative correction to ML. We also derive AIC values for REML and our estimators, including cases where model structures differ, which is not generally understood to be possible. Using both simulated data and GPS data from lowland tapir (Tapirus terrestris), we show how our perturbative estimators are more accurate than traditional ML and REML methods. Specifically, when urn:x-wiley:2041210X:media:mee313270:mee313270-math-0002(5) home‐range crossings are observed, REML is unreliable by orders of magnitude, ML home ranges are ~30% underestimated, and our perturbative estimators yield home ranges that are only ~10% underestimated. A parametric bootstrap can then reduce the ML and perturbative home‐range underestimation to ~10% and ~3%, respectively. Home‐range estimation is one of the primary reasons for collecting animal tracking data, and small effective sample sizes are a more common problem than is currently realized. The methods introduced here allow for more accurate movement‐model and home‐range estimation at small effective sample sizes, and thus fill an important role for animal movement analysis. Given REML’s widespread use, our methods may also be useful in other contexts where effective sample sizes are small.

Quiz scores extracted from LMS, remaining data extracted from surveys within LMS, IQ range calculation.

NuminaMath-QwQ-CoT-Improved

  Dataset Description

The NuminaMath dataset is designed to provide a rich collection of math problems formatted for clarity and ease of use. Its primary purpose is to assist learners in understanding mathematical concepts through detailed problem-solving processes. This dataset features a variety of problems, including basic arithmetic, geometry, and distance calculations, ensuring a broad range of mathematical topics. Each entry includes a… See the full description on the dataset page: https://huggingface.co/datasets/Mobiusi/NuminaMath-QwQ-CoT-Improved.