Academic Articles & Research Papers

Finite choice, convex choice and finding roots

We investigate choice principles in the Weihrauch lattice for finite sets on the one hand, and convex sets on the other hand. Increasing cardinality and increasing dimension both correspond to increasing Weihrauch degrees. Moreover, we demo...

Navigating the massive world of reddit: using backbone networks to map user interests in social media

In the massive online worlds of social media, users frequently rely on organizing themselves around specific topics of interest to find and engage with like-minded people. However, navigating these massive worlds and finding topics of speci...

Experiencing School Mathematics

NORTH AMERICAN RIGHTS ONLY: This is a revised edition of Experiencing School Mathematics first published in 1997 by Open University Press, © Jo Boaler. This revised edition is for sale in North America only.The first book to provide direct ...

Knowing and Teaching Elementary Mathematics

Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of ...

On the Domain of 4-Dimensional Catalan Matrix in the Space of Absolutely Summable Double Sequences

The primary objective of this study is to construct a novel double sequence space by utilizing the domain of a 4-dimensional (4D) matrix in the space $\mathcal{L}_u$ of the absolutely summable double sequences defined via the well-known Ca...

Analysis of Long-Term Impact of Maintenance Policy on Maintenance Capacity Using a Time-Driven Activity-Based Life-Cycle Costing

In capital-intensive industries, physical assets and maintenance activities play a relevant and strategic role in terms of providing operational continuity and business sustainability. As a result, maintenance support structures are highly ...

Threshold dynamics of a delayed predator–prey model with impulse via the basic reproduction number

Abstract In this paper, we study a delayed predator–prey model with impulse and, in particular, the existence of the predator-free periodic solution. We employ the approach and techniques coming from epidemiology and calculate the basic rep...

Tridiagonal matrices representations of generalized bivariate complex polynomials

This paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants. Furtherm...

Reasoning, Affectivity and School Performance at the end of Portuguese Elementary Education: Which Variables To Consider?

Abstract Elementary education is a stage in which children and adolescents develop reasoning and affectivity, variables often associated with school performance. This study aims to analyze the relationship between reasoning, affectivity and...

BIOECOLOGÍA DE Telenomus podisi (ASHMEAD) Y Trissolcus basalis (WOLLASTON) (HIMENOPTERA: SCELIONIDAE), PARASITOIDES ÓOFAGOS DE Oebalus insularis (KULGHAST) (HETEROPTERA: PENTATOMIDAE)

  Se realizaron estudios bioecológicos de laboratorio y de campo para las localidades de Río Hato (Provincia de Coclé, Panamá), Chepo (Provincia de Panamá, Panamá). Se determinó la tasa de parasitismo de Trissolcus basalis y Telenomus podis...

Design and Verification of Assessment Tool of Shortwave Communication Interference Impact Area

In the field of electronic communication warfare, accurately predicting the range and intensity of shortwave interference signals presents a significant challenge due to the complex interplay between the ionospheric parameters and the elect...

Mathematical Methods of Classical Mechanics

Problem-Based Tasks in Mathematics Learning: Opportunities and Challenges for Teachers

Mathematics education and teaching should not only include routine tasks; but tasks that need practice and memorization are mathematically more prosperous and more difficult because they promote problem-solving, investigation, and the disco...

What is mathematics, really?

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolv...

The Sociology of Mathematics Education: Mathematical Myths / Pedagogic Texts

Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically...

Creativity: The Essence of Mathematics

For the gifted mathematics student, early mastery of concepts and skills in the mathematics curriculum usually results in getting more of the same work and/or moving through the curriculum at a faster pace. Testing, grades, and pacing overs...

Extended Fibonacci numbers and polynomials with probability applications

The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers...

Pedestrian–bus route and pickup location planning for emergency evacuation

Planning for a bus-based regional evacuation is essential for emergency preparedness, especially for hurricane or flood prone urban environments with large numbers of transit-dependent or transit-captive populations. This paper develops an ...

Mathematics Anxiety, Working Memory, and Mathematics Performance in Secondary-School Children

Mathematics anxiety (MA) has been defined as "a feeling of tension and anxiety that interferes with the manipulation of numbers and the solving of math problems in a wide variety of ordinary life and academic situations." Previous studies h...

A Fractional-Order Complexity Framework for Misinformation Propagation With Fact-Checking Saturation and Social Vulnerability Dynamics

Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real-world complexities: People remember past information (memory effects), some folks are more easily f...