Academic Articles & Research Papers

The Journal of Mathematical Behavior

The Journal of Mathematical Behavior solicits original research on the learning and teaching of mathematics, from young children to adults, with a focus on how mathematical ideas are developed in learners under certain conditions that suppo...

American Mathematical Monthly

This document is a printed form of MSC2020, an MSC revision produced jointly by the editorial staffs of Mathematical Reviews (MR) and Zentralblatt für Mathematik (zbMATH) in consultation with the mathematical community.The goals of this rev...

An Introduction to Mathematical Epidemiology

Skills underlying mathematics: The role of executive function in the development of mathematics proficiency

The successful learning and performance of mathematics relies on a range of individual, social and educational factors. Recent research suggests that executive function skills, which include monitoring and manipulating information in mind (...

The Role of Mathematical Definitions in Mathematics and in Undergraduate Mathematics Courses

Introduction One of the earliest subjects of undergraduate mathematics education research was students' difficulties in writing formal mathematical proofs. Some research focused on the heuristics involved in proof-writing, but early attempt...

Mathematics and Plausible Reasoning

This is a guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and g...

Mathematical Foundations of Neuroscience

The Chicken or the Egg? The Direction of the Relationship Between Mathematics Anxiety and Mathematics Performance

This review considers the two possible causal directions between mathematics anxiety (MA) and poor mathematics performance. Either poor maths performance may elicit MA (referred to as the Deficit Theory), or MA may reduce future maths perfo...

The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator–Prey System: Stability and Bifurcation Properties

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...

AMPLITUDE-TIME ANALYSIS OF BIOMECHANICAL PATTERNS OF HUMAN MOTIONS

Biomechanical analysis of motions solves the tasks of efficiency estimation of movement realization, search of technique optimal variants and tactics of motion performance, definition of a degree and reasons of not matching real movement ac...

Analysis of amplitude domain characteristics in complex dynamic power signals and their impact on the error of electricity meter

Aiming at the influence of the fast, large range and random change of dynamic load current on the electricity metering, this paper firstly establishes a non-stationary random process modulation model and bimodal modulation model for complex...

Cooperation-Based Modeling of Sustainable Development: An Approach from Filippov’s Systems

The concept of Sustainable Development has given rise to multiple interpretations. In this article, it is proposed that Sustainable Development should be interpreted as the capacity of territory, community, or landscape to conserve the noti...

Decision-Making Methodologies for Reuse of Industrial Assets

When there is a social consensus that industrial assets are in fact heritage elements of cultural interest, their conservation and reuse must be considered with approaches that offer greater guarantees and that prevent their exposure to agg...

IWT and RSA based asymmetric image encryption algorithm

An asymmetric image encryption algorithm based on integer wavelet transformation (IWT) and Rivest-Shamir-Adleman (RSA) algorithm is proposed. Firstly, two plain characteristic parameters (PCP) of the plain image are extracted and two random...

Surcando caminos de interculturalidad sustentados en la Etnomatemática

This paper narrates facts and consequences of a course focused on Interculturality and Ethnomathematics developed in a Venezuelan Pedagogical University. The reflection is centered on Ethnomathematics and the development of "curricular ethn...

The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the l...

Mathematical Bioeconomics: The Mathematics of Conservation

Preface. Acknowledgments. 1 A Generic Bioeconomic Model. 1.1 What is Conservation? 1.2 What is a Model? 1.3 A Dynamic Resource-Harvesting Model. 1.4 A Bioeconomic Model. 1.5 A Dynamic Optimization Model. 1.6 A Model of Individual Behavior. ...

University mathematics students' conceptions of mathematics

A Conceptions of Mathematics Questionnaire was developed, designed to provide an indicator of the nature of students' conceptions of the subject matter they were studying. The scales of the questionnaire were based upon a set of conceptions...

On proof and progress in mathematics

This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, "Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics".Their article raises interesting i...

Computer Science and Its Relation to Mathematics

(1974). Computer Science and its Relation to Mathematics. The American Mathematical Monthly: Vol. 81, No. 4, pp. 323-343....