3 articles for “Error Analysis in Algebra”

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Research ArticleOpen accessIn the keywordsPersistent Misconceptions in Algebra: A Critical Analysis of Errors with Implications for Teaching and Further ResearchGurudeo Anand Tularam, Omar Moalin HassanThis study explores the persistent challenges students face in learning algebra, with a focus on prevalent errors observed in secondary education worldwide. This study highlights the complex interplay between conceptual and procedural knowledge in algebraic reasoning through a comprehensive review of theoretical frameworks and empirical studies by influential scholars such as Kieran, Shard, Booth and Koedinger. As students transition from … …Journal of Social Sciences, Vol. 21, Issue 1 · 22 Mar 2025 · 10,091 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed ConditionsMiloud Moussai, Lakhdar ChiterIn this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 27 Feb 2017 · 7,142 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA Cryptosystem Using the Concepts of Algebraic Geometric CodeK. V. Pramod, C. ManjuProblem statement: Cryptosystem using linear codes was developed in 1978 by Mc-Eliece. Later in 1985 Niederreiter and others developed a modified version of cryptosystem using concepts of linear codes. But these systems were not used frequently because of its larger key size. In this study we were designing a cryptosystem using the concepts of algebraic geometric codes with smaller key … …Journal of Computer Science, Vol. 6, Issue 3 · 31 Mar 2010 · 7,444 accessesView PDF Cite