Research ArticleOpen accessPhrase in the titleMathematical Sophistication and Differentiated Emotions during Mathematical Problem SolvingBradford D. Allen, James CarifioGeorge Polya, author of Mathematical Discovery and the enduring best seller How to Solve It: A New Aspect of Mathematical Method, claims that more sophisticated people experience more differentiated emotion during mathematical problem solving, a claim that has been untested for nearly fifty years. Using instruments that measure ongoing evaluations and emotion in real time, and traits that reflect mathematical … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,579 accessesView PDFCite
Research ArticleOpen accessIn the abstractIntegrating Higher-Order Thinking Skills, Cognitive Load Theory, and Metacognition in Algebraic Problem-SolvingGurudeo Anand TularamThis study synthesizes 30 years of research (1990–2020) on algebraic problem-solving, integrating Higher-Order Thinking Skills (HOTS), Cognitive Load Theory (CLT), and metacognitive strategies to enhance student outcomes. Utilizing a critical synthesis approach with data from student interviews, problem-solving observations, and longitudinal tracking, the analysis reveals consistent patterns across diverse educational contexts despite limitations and variable factors like teaching styles and … …Journal of Social Sciences, Vol. 22, Issue 1 · 21 Apr 2026 · 2,025 accessesView PDFCite
Research ArticleOpen accessIn the abstractImportance of Quadratic Forms in Mathematics EducationGurudeo Anand TularamQuadratic forms and equations serve as foundational elements in mathematics, playing a crucial role in a myriad of scientific disciplines, including physics, chemistry, economics, and social sciences. This paper explores the significance of quadratic concepts, demonstrating their applications in modelling real-world phenomena and enhancing analytical thinking. Through a comprehensive review of literature and practical examples, the author highlights how understanding … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 17 Oct 2025 · 4,071 accessesView PDFCite
Research ArticleOpen accessIn the abstractPersian Curve Versus Monte Carlo MethodAbdolrasoul Ranjbaran, Mohammad Ranjbaran, Fatema RanjbaranThe Monte Carlo Simulation method is a powerfultool for solving problems including random variables. The basic idea toimplement a Monte Carlo simulation is to first generate samples of randominputs from their assumed distributionfunctions and then perform a deterministic calculation on the generated randominputs, based on mathematical modeling of the system, to obtain output results.An early version of Monte Carlo simulation … …International Journal of Structural Glass and Advanced Materials Research, Vol. 5, Issue 1 · 6 Jul 2021 · 8,304 accessesView PDFCite
Research ArticleOpen accessIn the abstractNovel De-Oiling of Oil-WaterEmmanuel Ewa Ekeng, Jonah Chukwuemeka AgunwambaThe study anchors on developing a mechanistic model for oil-water separation. Over the years, researchers have been working on how to improve the quality of produced water effluent especially from oil and gas operations sent to the receiving waters. Despite the standard set for compliance by regulatory bodies like united nation agency, ministry, departments and other agencies both state and … …American Journal of Applied Sciences, Vol. 17, Issue 1 · 2 Sep 2020 · 6,952 accessesView PDFCite
Research ArticleOpen accessIn the abstractMETHODS OF COMPLEX OBJECT'S TRANSFER FUNCTION CALCULATION FOR DISTRIBUTED CONTROL SYSTEMAlexander V. Martirosyan, Karina V. Martirosyan, Eduard G. YanukyanOne of the ways of solving the stable operation mode of the mineral water field's setting problem is the development and implementation of the hydromineral recourses distributed control system. In this article the consideration of the control system's development on the basis of regulator synthesis approach is offered. The purpose of this study is to present a technique of the … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 9 Oct 2014 · 6,755 accessesView PDFCite
Research ArticleOpen accessIn the abstractTeachers’ Perceptions toward the use of GeoGebra in the Teaching and Learning of MathematicsLo Sooth Lee, Effandi ZakariaProblem statement: In a study by TIMSS, approximately 20% of Malaysian students failed to achieve the minimum benchmarks in mathematics. In addition, students do not understand mathematical concepts and lack necessary skills in problem-solving. The purpose of this study was to examine teachers’ perceptions toward the features and tools in GeoGebra. Approach: A GeoGebra workshop was conducted involving 30 secondary … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 16 Jun 2012 · 8,932 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Bit-Serial Multiplier Architecture for Finite Fields Over Galois FieldsHero Modares, Yasser Salem, Rosli Salleh, Majid Talebi ShahgoliProblem statement: A fundamental building block for digital communication is the Public-key cryptography systems. Public-Key Cryptography (PKC) systems can be used to provide secure communications over insecure channels without exchanging a secret key. Implementing Public-Key cryptography systems is a challenge for most application platforms when several factors have to be considered in selecting the implementation platform. Approach: The most popular … …Journal of Computer Science, Vol. 6, Issue 11 · 23 Oct 2010 · 8,436 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Model for Waste Reduction in Aluminum Fabrication Industry in KuwaitMohammed A. HajeehProblem statement: Waste generation in the aluminum industry throughout the fabrication processes in Kuwait. Approach: A mathematical model has been developed to analyze the fabrication process and a special heuristic is designed for solving the model. The model uses actual data presented from an Aluminum Fabrication Industry (AFI). Results: Reduced the amount of waste generated substantially during the process. Conclusion/Recommendations: … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 8,258 accessesView PDFCite