Top Research Papers on Mathematics

This work introduces MATH, a new dataset of 12,500 challenging competition mathematics problems which can be used to teach models to generate answer derivations and explanations and shows that accuracy remains relatively low, even with enormous Transformer models.

MATH 54H. First-Year Seminar: The Science of Conjecture: Its Math, Philosophy, and History. 3 Credits. Seminar will cover the history and philosophy of probability, evidence, and conjecture, consider the development of the field of probability, and look at current and future uses of probability. Gen Ed: QI. Grading status: Letter grade. MATH 55. First-Year Seminar: Geometry and Symmetry in Nature. 3 Credits. The nature of space imposes striking constraints on organic and inorganic objects. This seminar examines such constraints on both biological organisms and regular solids in geometry. Gen E...

Recent advancements in Large Multimodal Models (LMMs) have shown promising results in mathematical reasoning within visual contexts, with models approaching human-level performance on existing benchmarks such as MathVista. However, we observe significant limitations in the diversity of questions and breadth of subjects covered by these benchmarks. To address this issue, we present the MATH-Vision (MATH-V) dataset, a meticulously curated collection of 3,040 high-quality mathematical problems with visual contexts sourced from real math competitions. Spanning 16 distinct mathematical disciplines ...

In the era of the Industrial Revolution 4.0, science and technology played an important role in the future. Therefore, education is fundamental in the formation and development of human resources. Thus, they can contribute to the development of science and technology, especially in Mathematics. Mathematics has an important role in the future, but as is well-known Mathematics is one of the subjects that is considered difficult. Many students complain about this lesson for several reasons, such as the monotonous learning and the way the teacher does not vary. Thus, it is difficult to understand....

The report describes the discussions from the Workshop on Mathematical Opportunities in Digital Twins (MATH-DT) from December 11-13, 2023, George Mason University, and illustrates that foundational Mathematical advances are required for Digital Twins that are different from traditional approaches.

Some factors related to students maths anxiety are perceived to be important for academic failure. Such of these factors and some other factors contribute immensely to the problem of mathematics achievement that is spreading among students of Economics and Administrative Sciences. Considering such a problem as a maths anxiety, we propose a mathematical model to study how this problem is spread in the Faculty. We have discussed about basic properties of the system. Basic reproduction numbers are calculated. Our numerical findings are illustrated through computer simultaneous using MATLAB, which...

One of the goals of national education is to form students who are faithful and devoted to God Almighty. Islamic-integrated mathematics learning is a bridge to achieving this goal. This study aims to explore the verses in the Quran related to the concept of mathematical logic. A literature review using qualitative research was conducted in this research. Data were obtained from the Quran, the Book of Tafsir, and relevant journal articles. The results showed the concept of mathematical logic in the Quranic verses. The conjunction form is found in surah Al-Baqarah verse 25, the disjunction form ...

A method that gathers the semantic information surrounding the context of each mathematical formulae, provides access to the information in a graph-structured dependency hierarchy, and performs automatic plausibility checks on equations is presented.

MATH 101M. An Introduction to Mathematics for Critical Thinking. 3 Credits. This course fulfills the math general education requirement for some majors in the College of Arts and Letters and the College of Education and Professional Studies. It can also be used as a preparation for STAT 130M. An introduction to the ways in which modern mathematics can be used to analyze the modern world and make logical decisions. Topics include problem solving, sets, logic, consumer mathematics (loans, mortgages, annuities), probability, and elementary statistics.

This article attempts to answer the following questions about a course commonly known as ‘ Mathematics for Liberal Arts Students ‘, based on the author's thought and experience gathered from teaching such a course: (1) Why should there be such a course? (2) What do we want to get across? (3) What can we talk about in the course?

This work proposes a Compositional Math Word Prob-lem Solver (C-MWP) which works in a bi-modal setting encoding in an interactive way and shows its superiority over state-of-the-art models on public benchmarks.

This project introduces Math Agents and mathematical embedding as fresh entries to the "Moore's Law of Mathematics", using a GPT-based workflow to convert equations from literature into LaTeX and Python formats.

Whereas some intellectually disabled individuals excel in very complex numerical tasks, others of normal intelligence fail even in very simple ones, a comparison of their wider psychological profiles suggests that iconic mathematics ought to suit the very people traditional mathematics leaves behind.

A comprehensive mathematical evaluation toolkit that not only utilizes a python computer algebra system (CAS) for its numerical accuracy, but also integrates an optional LLM, known for its considerable natural language processing capabilities.

Learning communities can be an effective means of engaging university students across disciplines. Games have always been a source of both enjoyment and interesting mathematics. Based on our own interest in games, and the deep, strategic discussions we found ourselves having with students when we played games with them, we decided to design a learning community around the mathematics of games. We hoped in particular that such a community could be a great pathway to introducing mathematical thinking to students not majoring in mathematics, and that they would gain a greater appreciation for our...

This work applies state-of-the-art neural and neuro-symbolic models for visual question answering on CLEVR-Math and empirically evaluates their performances, showing how neither method generalise to chains of operations.

Hypothesizing that difficult queries are crucial to learn complex reasoning, this work proposes Difficulty-Aware Rejection Tuning (DART), a method that allocates difficult queries more trials during the synthesis phase, enabling more extensive training on difficult samples.

One of the factors limiting mathematical achievement in those years is math anxiety. Math anxiety is a negative emotional reaction to mathematics: one that cannot be fully explained in terms of more a general anxiety trait. In previous studies it has been shown that children with high levels of math anxiety have lower mathematical achievement compared to children with low levels of math anxiety. And yet other international studies have shown a negative relationship between these two variables. So, it remains unclear just how math anxiety does impair mathematical achievement in young children.

Naturally, students are afraid to learn Mathematics that progresses as a fear of getting things wrong. This study utilizes the descriptive-correlational research design to test how the math anxiety and mathematics are connected to each other. Forty-two (42) Grade 7 students participated in the study during the school year 2020-2021. It used a researcher-made survey questionnaire on math anxiety and an examination on mathematical representations through modular learning. The math anxiety is indicated by mathematics test anxiety and numerical anxiety both with ten statements. Meanwhile, the exam...

Use this Guide to help find resources and help for your math class or simply with math in general

Abstract The research question being investigated in this paper is how to improve the learning of calculus for non-math major students whose interests are primarily non mathematical. The study explores the impact of an intuitive approach applied to the concepts of limits and integration. The survey was carried on 1st year engineering students taking the Calculus-1 course. The students had already had a brief encounter with the topics in high school. They were surveyed about their outlook towards the concepts of limits and integration using the same pre and post inquiry form. The post analysis ...

This novel approach significantly improves the multimodal mathematical reasoning capabilities of LLaVA-1.5, achieving a 19-point increase and comparable performance to GPT-4V on MathVista's minitest split, and yielding leading performance on Math-V and MathVerse.

An edit-assistance tool, MathLatexEdit for formula latexification, LaTeX revision and screenshot transcription that implements a deep learning based approach including two encoder-decoder models for textual and visual LaTeX edit recommendation with math-specific inference.

Problem 1. Essay. [25] Select one of the three topics A, B, and C. Please think about these topics and make an outline before you begin writing. You will be graded on how well you present your ideas as well as your ideas themselves. Each essay should be relatively short—one to three written pages. There should be no fluff in your essays. Make your essays well-structured and your points as clearly as you can.

Preface Mathematics for its Own Sake Group Theory-What's Beyond B. Sury Splitting Primes Chandan Singh Dalawat Elliptic Curves and Number Theory R. Sujatha Curvature and Relativity Siddhartha Gadgil Generating Functions S. Ramanan Approximating Continuous Functions by Polynomials Gautam Bharali Applicable Mathematics The Wonderful World of Eigenvalues Arup Bose and Aloke Dey On Ptak's Nondiscrete Induction A.S.Vasudeva Murthy Partial Differential Equations P.N. Srikanth Large Deviations S.R.S. Varadhan From the Binary Alphabet to Quantum Computation K.R. Parthasarathy Is There a Science Behind...

N ervous about your next presentation, test, or big homework assignment? Try relaxing to a soothing song (for example, Kate Bush’s “Pi,” in which she sings the digits of to within and coloring a mandala. The word mandala is Sanskrit and, loosely translated, means circle. Mandalas often contain symbolic iconic or geometric objects. In some cultures, they are archetypal objects representing wholeness or peace and are used for meditative purposes. According to mandalaproject.org, “creating a group mandala is a unifying experience in which people can express themselves individually within a unifie...

Some of the examples created using the G programming language paradigm to implement mathematical algorithms can be considered the first examples of a new paradigm for mathematics – graphical programming, or G Math.

. We propose a new computer environment for mathematics that can be set up easily and quickly.

The cardinality of a set S is denoted |S| The ! symbol indicates factorial. U is the universal set.

Hands-On Mathematics by students for schoolkids is our innovative teaching concept. It consists of students developing tangible mathematical exhibits for schoolkids in seminars or in their final theses. In addition to the usual requirements for a written seminar paper or thesis in mathematics, the students design instructive exhibits that convey mathematical facts in an exciting way.With the Passau Math Museum, we offer our students a platform where they present their work permanently and visibly. The prospect to showcase their exhibit in our museum motivates students to intensively dig into t...

A mathematical knowledge graph named Math-KG, which automatically constructed by the pipeline method with the natural language processing technology to integrate the resources of the mathematics and is built from the corpora of Baidu Baike, Wikipedia.

One of the factors that influence the ability to solve mathematical problems is that students do not like mathematics and lack the ability to understand concepts. The purpose of this study was to analyze the effect of math anxiety on students' mathematical problem solving abilities. This research uses SLR (Systematic Literature Review). The result of this study is that the effect of math anxiety on problem solving abilities is negative. Based on the studies reviewed, it can be concluded that the level of students' math anxiety is high, so the resulting problem-solving ability is low, and vice ...

Several studies have explored the importance and benefits of teaching the history of mathematics as part of regular math classes. Some of these studies addressed the question of using the history of mathematics as a motivational factor. For instance, some found that teaching or using the history of mathematics boosted students‟ interest in the topics, lowered mathematical anxiety, and increased motivation, as well as supporting student learning and increasing the understanding of mathematical concepts. In the present paper, we analyze the positive effects that integrating elements of the histo...

While knowledge of mathematics is essential to every aspect of science, engineering, and technology, decades of research tell a consistent story: mathematics education in the United States is a barrier rather than a gateway to children’s engagement with STEM careers. Early in their lives, many children develop negative perceptions of mathematics and their own math abilities (Denner et al., 2019; Ganley & Lubienski, 2016; Jiang et al., 2020). ANDEE RUBIN AND SCOTT PATTISON Poto cortesy of C hiren’s M ueum of Pitburgh

ABSTRACT Mathematics remains a gatekeeper in schools; educators and researchers must carefully consider how diverse mathematical practices can be recognised and valued. To explore how math is recognised in the craft of weaving, which has been described as highly mathematical with roots in innovations by women, I interviewed 22 experienced weavers about their experiences. Participants also provided images of items they wove. Through qualitative analyses, data revealed that adult weavers describe and use math in their weaving in simultaneous and overlapping ways: arithmetic and calculations, ima...

: This study investigates connections between fabric crafts and the breadth and depth of mathematics involved in pursuing the crafts with a particular focus on quilting. The authors became participant observers in crafting circles, conducted 65 semi-structured interviews to investigate crafters’ mathematical insights in their projects, and analyzed artifacts through close manual examination and photographs to deepen these insights. We ask the questions: (1) How do crafters observe the interplay between mathematics and the process of a craft? (2) How can crafters’ products illuminate the breadt...

ABSTRACT This article reports on a study designed to estimate the effect of high school coursetaking in the algebra-calculus pipeline on the likelihood of placing out of postsecondary remedial mathematics. A nonparametric variant of propensity score analysis was used on a nationally representative data set to remove selection bias and test for an effect among all comparable students and among students least likely to enroll in precalculus, trigonometry, or calculus. The effect failed to reach practical significance among all comparable students and was particularly weak among students least li...

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The findings suggest that the application is ready to be used in a learning and fun environment for kindergarten children upon the success of the trial run, as the targeted users found the application easy to use and enjoyed playing and learning with the application.

A novel MWP generation approach is developed that leverages i) pre-trained language models and a context keyword selection model to improve the language quality of generated MWPs and ii) an equation consistency constraint for math equations to improved the mathematical validity of the generatedMWPs.

This research aims to describe the factors that influence students' beliefs that mathematics is difficult and how to change students' beliefs that mathematics is not difficult. This research method used a Systematic Literature Review with a qualitative approach. This data was obtained from the thematic analysis of several books and articles discussing 'intelligence", "mathematics," and "mindset" those researchers obtained from Google Scholar. The research results showed that parents, teachers, and peers influence students who think intelligence did not change and could be changed. Apart from t...

ABSTRACT Only a limited number of research has examined preservice preschool teachers’ attitudes toward and beliefs about teaching mathematics, likely because there are no instruments aimed at preschool settings that have appropriately established psychometric properties. In the current study, we addressed this deficit and aimed to adapt the Preschool Teacher Attitudes and Beliefs toward Science (P-TABS) instrument in a sample of 164 Greek preservice preschool teachers and test its validity and reliability. Using a version of the P-TABS that had been adapted to mathematics, we investigated par...

This research investigates the level of immersion and behavioural intention to use using Hedonic-Motivation System Adoption Model (HMSAM) to develop a mobile visual novel game for mathematics subjects, especially definite integral in order to increase interest in learning mathematics.

Students' success in learning is inseparable from their high level of fighting power or the Adversity Quotient (AQ) they have. This study examines whether there was an Adversity Quotient (AQ) difference between Boarding Schools (BS) and Non-Boarding Schools (NBS) students through the application of metacognitive learning Think-aloud cooperative setting through the application of metacognitive learning Think-aloud cooperative setting Think-Pair-Share (MTPS), Think-Pair Square (MTPQ), and Conventional Class (CC). The researchers used quasi-experimental research design. The data collection in thi...

What tales would your students tell about their mathematical experiences? In this article, we describe a task, The Math Metaphor, and how it was utilized in a high school classroom as a window to explore students’ experiences with mathematics.

Mathematics anxiety has long been a hotly debated topic of research in education and psychology, and studies have confirmed the prevalence of mathematics anxiety among learners of different ages and its impact on learners mathematics performance. This literature review attempted to organize the discuss two research points under the topic of mathematics anxiety. The first part focuses on analyzing the mediating factors between mathematics anxiety and outcomes in order to clarify the mediators of their effects and the process of mediation. The second part is related to the differences of mathema...

A series of math-specific large language models that possess advanced mathematical reasoning capabilities, including Chain-of-Thought (CoT) and Tool-Integrated Reasoning (TIR), and are evaluated on 10 mathematics datasets in both English and Chinese.

It is argued that if a model really understands a problem, it should be robustly applied across a diverse array of tasks and MathCheck, a well-designed checklist for testing task generalization and reasoning robustness, is introduced, as well as an automatic tool to generate checklists efficiently.

Mathematics anxiety is one of the factors impacting the students’ achievement. The current study aims at describing the mathematics anxiety of XI class students. This study emphasizes the mathematics anxiety in general and each indicator. This research is a qualitative study adapting the case study approach. The purposeful sampling has been used to select the subjects. The subjects of this study are 17 students of class XI Science in Senior High School 1 Puding Besar. Data have been collected through observations, interviews and questionnaires of mathematics anxiety. Students have been asked t...

1. Suppose that a risky asset S has spot price S(0) = 100 and that the riskless return to T = 1 year is R = 1.0537. Assuming there are no arbitrages, compute the following: (a) the current zero-coupon bond discount Z(0, T ), (b) the Forward price for one share of S at expiry T , (c) the riskless annual interest rate (assuming continuous compounding), Solution: (a) From the formula on p.3, Z(0, T ) = 1 R = 0.9490. (b) By Eq.1.15, the fair price is K = RS(0) = 105.37. (c) By Eq.1.6, r = (log R)/T = 0.0523, or 5.23%. 2