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266 articles for “higher-order”
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Research ArticleOpen accessPhrase in the titleIntegrating 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 · 2,016 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleAn Adaptive Machine Learning Algorithm for Resilient Higher-Order Mutant GenerationSubhasish Mohanty, Jyotirmaya Mishra, Sudhir Kumar Mohapatra et al.In the field of software engineering, ensuring the reliability androbustness of software is paramount, and software testing plays a criticalrole in this process. Mutation testing, a fault-based technique, evaluates theeffectiveness of test suites by introducing artificial defects, known asmutants, into programs. This research presents a novel method forgenerating higher-order mutants (HOMs) using the Chemical ReactionOptimization (CRO) algorithm, which enhances the … …Journal of Computer Science, Vol. 21, Issue 5 · 20 May 2025 · 8,238 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleHigher-Order Newton-Cotes FormulasPedro Americo Almeida Magalhaes Junior, Cristina Almeida MagalhaesProblem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach: It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes semi-closed or semi-open was proposed. Results: An analysis of error in the technique was made. To estimate the error of integration in discrete data, we propose apply different rules or mix several rules. Conclusion/Recommendations: … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 9,750 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNumerical Solution of Higher Order Ordinary Differential Equations by Direct Block CodeN. Waeleh, Z. A. Majid, F. Ismail, M. SuleimanProblem statement: This study is concerned with the development of a code based on 2-point block method for solving higher order Initial Value Problems (IVPs) of Ordinary Differential Equations (ODEs) directly. Approach: The block method was developed based on numerical integration and using interpolation approach which is similarly as Adams Moulton type. Furthermore, the proposed method is derived in order … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 3 Feb 2012 · 8,138 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleDouble Weighted Integrals Identities of Montgomery for Differentiable Function of Higher OrderAsif R. Khan, Faraz MehmoodWe provide double weighted integrals identities of Montgomery for differentiable function of higher order for two variables and by help of those identities we get generalization of Ostrowski and Grüss type inequalities for weighted integrals for differentiable functions of higher order for two variables. …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 24 Jun 2019 · 6,832 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleApproximate Solutions of a Higher Order MHD Flow of a Uniformly Stretched Vertical Permeable Surface in the Presence of Heat Generation/Absorption which Resulted from a Quadratic ReactionO. K. KorikoHigher order MHD flow of a uniformity stretched vertical permeable surface in the presence of heat generation/absorption which resulted from a quadratic reaction was studied. The resulting coupled nonlinear partial differential equations is solved by asymptotic expansion. It was discovered that the maximum value of velocity occurs in the body of the fluid close to the surface not at the … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,445 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleExterior Differential Systems for Higher Order Partial Differential EquationsPaul BrackenThe theory of exterior differential systems is applied to study integrability of a set of related partial differential equations expressed in the terms of differential forms using Cartan's method. The Camassa-Holm equation and the Degasperis-Procesi equations are special cases that are described by these exterior differential systems. Some conservation laws are obtained in the cases of the more relevant equations. … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 6,924 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleGlobal Behavior of a Higher Order Difference EquationAlaa E. Hamza, R. Khalaf-AllahIn this work we study the asymptotic stability of the nonnegative equilibrium points of the difference equation. We discuss the conditions under which there exist prime period two solutions and semicycles. Finally we investigate the oscillation and the existence of unbounded solutions. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 7,054 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEffects of Higher Order Dispersion Terms in the Nonlinear Schrodinger EquationRobert Beech, Frederick OsmanThis study presents a concise graphical analysis of solitonic solutions to a nonlinear Schrodinger equation (NLSE). A sequence of code using the standard NDSolve function has been developed in Mathematica to investigate the acceptable accuracy of the NLSE in relatively small ranges of the dispersive parameter space. An operator splitting approach was used in the numerical solutions to expand the … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,491 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA STUDY OF FIRST YEAR TERTIARY STUDENTS’ MATHEMATICAL KNOWLEDGE- CONCEPTUAL AND PROCEDURAL KNOWLEDGE, LOGICAL THINKING AND CREATIVITYGurudeo Anand Tularam, Kees HulsmanThis study focuses on students in first year environmental science degree programs where traditionally mathematical emphasis has been much less than the strict science or math majors. The importance now placed in applied mathematics means that students need to gain more conceptual and quantitative knowledge in not only the environmental degree programs but also in most if not all non-mathematical … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 1 Aug 2013 · 7,255 accessesView PDFCite