Academic Articles & Research Papers

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 ...

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...

Reverse Mathematics in Bishop’s Constructive Mathematics

We will overview the results in an informal approach to constructive reverse mathematics, that is reverse mathematics in Bishop’s constructive mathematics, especially focusing on compactness properties and continuous properties....

The relationship between mathematics self-efficacy and achievement in mathematics

This study examined the relationship between Mathematics Self-Efficacy and achievement in Mathematics. Three hundred and fifty-two (352) Senior Secondary 2 students in Oyo State were used for the study. Three hypotheses were used. The resul...

“Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics

Is speculative mathematics dangerous? Recent interactions between physics and mathematics pose the question with some force: traditional mathematical norms discourage speculation, but it is the fabric of theoretical physics. In practice the...

[Mathematical models of hysteresis]

The research described in this proposal is currently being supported by the US Department of Energy under the contract Mathematical Models of Hysteresis''. Thus, before discussing the proposed research in detail, it is worthwhile to describ...

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...

Gas Transport in Shale Nanopores with Miscible Zone

Based on the results of molecular dynamics simulation, in a gas-water miscible zone, the velocity profiles of the flowing water film do not increase monotonously but increase first and then decrease, which is due to the interaction between ...

Multi-step prediction in linearized latent state spaces for representation learning

In this paper, we derive a novel method as a generalization over LCEs such as E2C. The method develops the idea of learning a locally linear state space by adding a multi-step prediction, thus allowing for more explicit control over the cur...

Weight-perception-based fixed and variable admittance control algorithms for unimanual and bimanual lifting of objects with a power assist robotic system

Weight-perception-based fixed admittance control algorithm and variable admittance control algorithm are proposed for unimanual and bimanual lifting of objects with a power assist robotic system. To include weight perception in controls, th...

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...

Encyclopedic Dictionary of Mathematics

Assessing the Relationship between Attitude toward Mathematics and Achievement in Mathematics: A Meta-Analysis

Xin Ma, Nand Kishor, Assessing the Relationship between Attitude toward Mathematics and Achievement in Mathematics: A Meta-Analysis, Journal for Research in Mathematics Education, Vol. 28, No. 1 (Jan., 1997), pp. 26-47...

Varieties of Constructive Mathematics

This is an introduction to, and survey of, the constructive approaches to pure mathematics. The authors emphasise the viewpoint of Errett Bishop's school, but intuitionism. Russian constructivism and recursive analysis are also treated, wit...

The Philosophy of Mathematical Practice

Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, ...

Mathematical Morphology

Mathematical Morphology allows for the analysis and processing of geometrical structures using techniques based on the fields of set theory, lattice theory, topology, and random functions. It is the basis of morphological image processing, ...

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...

On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of...

Semi-Analytical Option Pricing Under Double Heston Jump-Diffusion Hybrid Model

We examine European call options in the jump-diffusion version of the Double Heston stochastic volatility model for the underlying price process to provide a more flexible model for the term structure of volatility. We assume, in addition, ...

Series Solution for Steady Three-Dimensional Flow due to Spraying on Inclined Spinning Disk by Homotopy Perturbation Method

The steady three-dimensional flow of condensation or spraying on inclined spinning disk is studied analytically. The governing nonlinear equations and their associated boundary conditions are transformed into the system of nonlinear ordinar...