Academic Articles & Research Papers

The Heart of Mathematics

(1980). The Heart of Mathematics. The American Mathematical Monthly: Vol. 87, No. 7, pp. 519-524....

Mathematics as a science of patterns

Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has ...

Mathematical discussion and mathematical understanding

The causal ordering of mathematics anxiety and mathematics achievement: a longitudinal panel analysis

Using data from the Longitudinal Study of American Youth (LSAY), we aimed to determine the causal ordering between mathematics anxiety and mathematics achievement. Results of structural equation modelling showed that, across the entire juni...

Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being

This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathe...

A Meta-Analysis of the Relationship between Anxiety toward Mathematics and Achievement in Mathematics

In this meta-analysis I examined 26 studies on the relationship between anxiety toward mathematics and achievement in mathematics among elementary and secondary students. The common population correlation for the relationship is significant...

The materiality of mathematics: Presenting mathematics at the blackboard

Sociology has been accused of neglecting the importance of material things in human life and the material aspects of social practices. Efforts to correct this have recently been made, with a growing concern to demonstrate the materiality of...

The Mathematics of Infectious Diseases

Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number [Formula: see text], the contact numbe...

Linking Preservice Teachers' Mathematics Self‐Efficacy and Mathematics Teaching Efficacy to Their Mathematical Performance

This study examined preservice teachers' mathematics self‐efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern universit...

Mathematics of Physics and Chemistry

Refining the Galerkin method error estimation for parabolic type problem with a boundary condition

The article considers a parabolic-type boundary value problem with a divergent principal part, when the boundary condition contains the time derivative of the required function: { ut−d/dxiai(x,t,u,∇u)+a(x,t,u,∇u)=0,a0ut+ai(x,t,u,∇u)cos(v,...

Solar heat transport analysis of Falkner Skan Casson ternary hybrid nanoparticles over a permeable wedge

Abstract In the modern era, energy has become a vital concern across all sectors, while efficient energy generation remains a significant challenge for scientists and engineers. To overcome this issue, researchers have developed ternary hyb...

Superconformal indices of N $$ \mathcal{N} $$ = 4 Chern-Simons matter theories

Abstract Gaiotto and Witten found that one can construct 3d N $$ \mathcal{N} $$ = 4 Chern-Simons matter theories by using N $$ \mathcal{N} $$ = 4 SCFT whose momentum map of global symmetries satisfy special condition. Usually, one uses free...

New Insights into Cd²⁺/Fe³⁺ Co-Doped BiOBr for Enhancing the Photocatalysis Efficiency of Dye Decomposition under Visible-Light

Uniform flowerlike microspheres Cd2+/Fe3+ co-doped BiOBr were prepared with the aid of the microwave hydrothermal process. The results indicate that the degradation performance of Bi1−xCdxOBr and Bi1−xFexOBr are 1.31 and 2.05 times that of ...

Further Results on a Curious Arithmetic Function

Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively. In this paper, we introduce an...

Changing Movements in a Changing World: Modelling Early Pleistocene and Early Middle Pleistocene Climatic and Ecological Environments and Influences on Hominin Dispersal in Eurasia

In a world of drastic climatic and ecological changes, our knowledge of how the environment influenced hominin behaviour is of the utmost importance. Archaeology plays a key role in this domain, as it is the only discipline that studies emp...

The local metric dimension of split and unicyclic graphs

A set W is called a local resolving set of G if the distance of u and v to some elements of W are distinct for every two adjacent vertices u and v in G.  The local metric dimension of G is the minimum cardinality of a local resolving set of...

Mathematical Control Theory

Mathematical Models in Epidemiology

Theories of Mathematical Learning

Contents: Preface. Part I: P. Cobb, Sociological and Anthropological Perspectives on Mathematics Learning. P. Cobb, B. Jaworski, N. Presmeg, Emergent and Sociocultural Views of Mathematical Activity. J. Voigt, Negotiation of Mathematical Me...