Academic Articles & Research Papers

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...

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...

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...

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...

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...

Mathematics in Population Biology

"The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results a...

A Truncated-Kernel Mollification Method for the Cauchy Problem of the Modified Helmholtz Equation

This paper addresses the Cauchy problem for the multi-dimensional modified Helmholtz equation, a classical and severely ill-posed problem. A truncated-kernel mollification method is proposed as an effective regularization approach. Both the...

Mathematics for Economists

An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organization-these are the advantages that Mathematics for Economists brings to today's classroom....

The Handbook of Mathematical Cognition

Part 1: Cognitive Representations for Number and Mathematics. M. Fayol, X. Seron, About Numerical Representations: Insights from Neuropsychological, Experimental and Developmental Studies. M. Brysbaert, Number Recognition in Different Forma...

The application of cosine similarity measures with Laplacian energy to q-rung orthopair fuzzy graphs in decision-making problems

Q-rung orthopair fuzzy sets (q-ROFS), which are better than the intuitionistic and Pythagorean fuzzy sets, are a significant tool for expressing ambiguous information. Their key feature is that their ability to represent a larger space of u...

Encyclopedic dictionary of mathematics

The second edition of the widely acclaimed Encyclopedic Dictionary of Mathematics was published in 1987 and is now available in paperback. It includes 70 new articles, particularly in applied mathematics, expanded explanations and appendice...

Constructivity in Mathematics

This is an expanded version of the lectures that I delivered to the Department of Pure Mathematics at the University of Calcutta in the period 27 January -6 February 1998. I am most grateful to that University for inviting me to be its Rani...

Mathematics, mathematicians, and mathematics education

I am one of a growing number of research mathematicians who are substantially engaged with school mathematics education. Such outreach has a long and honor-able tradition. In this lecture, I illustrate some of the ways that I think this can...

Constructivism in mathematics

The World of Mathematics

Volume 1: general survey, Philip E.B.Jourdain historical and biographical, Herbert Westren Turnbull et al arithmetic, numbers and the art of counting, Archimedes et al mathematics of space and motion, William Kingdon Clifford et al. Volume ...

Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study

This study illuminates claims that teachers' mathematical knowledge plays an important role in their teaching of this subject matter. In particular, we focus on teachers' mathematical knowledge for teaching (MKT), which includes both the ma...

What Is Mathematics?

Abstract For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in educat...

Health Technology Assessment (HTA) / Technikfolgenabschätzung

Health Technology Assessment (HTA) / Gesundheitstechnologiebewertung bewertet den Nutzen von gesundheitlichen Technologien überwiegend auf der Basis bereits vorhandener Studien. Der Begriff Technologie umfasst dabei nicht nur Medizinprodukt...

HEALTH TECHNOLOGY ASSESSMENT IN SWEDEN

Sweden has a welfare system that is based on the fundamental principle that all citizens are entitled to good health and medical care, regardless of where they live or what their economic circumstances are. Health and medical care are consi...