Academic Articles & Research Papers

Mathematics-for-Teaching: an Ongoing Investigation of the Mathematics that Teachers (Need to) Know

Introduction to Mathematical Statistics.

1. Probability and Distributions. 2. Multivariate Distributions. 3. Some Special Distributions. 4. Some Elementary Statistical Inferences 5. Consistency and Limiting Distributions 6. Maximum Likelihood Methods. 7. Sufficiency. 8. Optimal Te...

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

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...

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...

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...

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...

Mathematical Literacy

Mathematical Cognition

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...

Faktorisasi Polinomial Square-Free dan bukan Square-Free atas Lapangan Hingga Zp

Abstrak: Faktorisasi polinomial merupakan suatu proses penguraian suatu  polinomial berderajat n menjadi polinomial-polinomial lain yang berderajat lebih kecil dari n.  Faktorisasi polinomial atas lapangan hingga  merupakan suatu proses pen...

Optimasi proses penjadwalan mata kuliah menggunakan algoritme genetika dan pencarian tabu

Penjadwalan mata kuliah merupakan permasalahan yang sering terjadi pada perguruan tinggi, di antaranya adalah bentrok waktu mengajar dosen, ruangan dan kelas mahasiswa. Kajian ini mengusulkan optimasi penjadwalan mata kuliah menggunakan alg...

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...