Deonarain Brijlall | Mathematics | Excellence in Research

Deonarain Brijlall | Mathematics | Excellence in Research

Prof Deonarain Brijlall, Durban University of Technology, South Africa

Prof. Brijlall Deonarain is a distinguished academic in Mathematics Education at the University of KwaZulu-Natal (UKZN), South Africa. With a B.Sc. and M.Sc. in Mathematics (Topology), a PhD in Mathematics, and extensive postdoctoral training, Prof. Deonarain has dedicated his career to enhancing mathematics teaching. He has held various academic leadership roles, including acting head of department and faculty representative. His research interests focus on mathematics education, curriculum development, and learning theories. Prof. Deonarain has published several influential papers, such as on optimization problem-solving and pre-service teachers’ mental constructions. He actively contributes to mathematics education through grants and academic conferences. πŸ“šπŸ”’πŸŽ“

Publication Profile

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Education

Prof. Brijlall Deonarain has a diverse and extensive academic background. He earned his B.Sc. in Mathematics and Applied Mathematics from the University of Durban-Westville (UDW), South Africa, in 1984, followed by a B.Sc. (Hons) in Mathematics in 1985. He also pursued studies in Education, obtaining a UHDE in 1986 and a B.Ed (Hons) from UNISA in 1989. His technical expertise is highlighted by a National Technical Diploma in Electronics from Sastri Technical College in 1992. Prof. Deonarain completed his M.Sc. in Mathematics (cum laude) at the University of Natal in 1999 and his Ph.D. in Mathematics (Topology) from UDW in 2003. πŸŽ“

Honors

Prof. Brijlall Deonarain’s career spans several decades of dedicated service in mathematics and education. Beginning as a part-time lecturer at the University of Durban-Westville in 1985, he later joined Stanger Secondary School in 1986, earning recognition for his service. His academic roles expanded to lecturer positions at Springfield College of Education and University of Natal (now UKZN), where he contributed significantly to mathematics education. Prof. Deonarain held key leadership roles, including acting head of departments and faculty representative. He was nominated as an evaluator for the Higher Education Quality Committee and participated in an Oxford Roundtable in 2008. πŸŒŸπŸ“˜

Research Support

Prof. Brijlall Deonarain led a project titled “A Real Analysis Module for FET BEd Graduates,” conducted between 2005 and 2012, in collaboration with Prof. A. Maharaj. The project explored the relevance of an undergraduate Mathematics module to the new FET curriculum. It focused on three objectives: researching the alignment of Real Analysis with FET school topics, testing a novel pedagogical approach for presenting the course, and analyzing student responses using learning theories. The research led to two SAPSE-accredited journal papers in 2011. Prof. Deonarain also contributed to an ongoing project with Nelson Mandela Metropolitan University and Witwatersrand University, developing innovative calculus teaching materials for teachers. πŸ§‘β€πŸ«πŸ“Š

Research Focus

Dr. D. Brijlall’s research primarily focuses on mathematics education and teacher education, particularly in the context of high school and pre-service teachers. His work explores the mental constructions of learners and teachers, investigating how they approach complex mathematical concepts like optimization, matrix algebra, and problem-solving. He uses frameworks like APOS theory (Action, Process, Object, and Schema) to study the understanding of abstract mathematical concepts. Dr. Brijlall’s research also delves into pedagogical content knowledge, especially for teaching probability and mathematical problem-solving. πŸ“šπŸ‘©β€πŸ«πŸ”’

Publication Top Notes

An exploration of the common content knowledge of high school mathematics teachers

Exploring high school learners’ mental construction during the solving of optimization

High school learners’ mental construction during solving optimisation problems in Calculus: A South African case study

Pre-service teachers’ mental constructions of concepts in matrix algebra

An APOS study on pre-service teachers’ understanding of injections and surjections

Exploring the stages of Polya’s problem-solving model during collaborative learning: A case of fractions

Exploring the pedagogical content knowledge for teaching probability in middle school: A South African case study

Using an inductive approach for definition making: Monotonicity and boundedness of sequences

Exploring support strategies for high school mathematics teachers from underachieving schools

 

 

 

Faraz Mehmood | Mathematical Inequalities | Best Researcher Award

Assoc Prof Dr. Faraz Mehmood | Mathematical Inequalities | Best Researcher Award

Assoc Prof Dr. Faraz Mehmood, Dawood University of Engineering and Technology, Dawood University of Engineering and Technology

πŸŽ“ Assoc. Prof. Dr. Faraz Mehmood, with a Ph.D. in Mathematics from the University of Karachi, is an esteemed academician at Dawood University of Engineering & Technology. With expertise in Differential Equations, Linear Algebra, and more, he has contributed significantly as a paper setter and lecturer. Dr. Mehmood’s research focuses on Real Functions, evident in his published monographs. Beyond academia, he enjoys sports and avidly engages in reading. Proficient in C/C++, MATLAB, and communication in multiple languages, his dedication to mathematics and teaching is commendable. πŸ“šπŸ”’

Publication Profile:

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Academic Background:

πŸ“š Dr. Faraz Mehmood’s academic journey embodies excellence and dedication. Graduating with a Ph.D. in Mathematics from the University of Karachi, he achieved a remarkable FIRST Division with a 3.57 CGPA. Prior to this, he completed his M.Sc. in Mathematics with first-class honors, securing the Second Position, a distinction celebrated with a published photograph. His educational achievements also include a Post-Graduate Diploma and a Certificate Course in Mathematics, both earned with First Positions. Despite starting his undergraduate studies with a Second Division, Dr. Mehmood’s commitment led to consistent academic growth, culminating in his noteworthy contributions to the field of mathematics. πŸŽ“

 

Experience:

πŸ‘¨β€πŸ« Dr. Faraz Mehmood is currently serving as an Associate Professor of Mathematics at Dawood University of Engineering & Technology, Karachi, Pakistan, since November 23, 2009. His teaching portfolio spans a diverse range of subjects including Differential Equations, Linear Algebra, Calculus, Basic Statistics & Probability, Complex Variables & Transforms, and Numerical Analysis. Notably, he is actively involved in paper setting for various engineering department courses. Prior to his current position, Dr. Mehmood held cooperative lecturer positions at several educational institutions, imparting knowledge in intermediate mathematics. His commitment to teaching and academia is evident throughout his extensive career. πŸ“πŸ“Š

Research Focus:

πŸ” Dr. Faraz Mehmood’s research focus lies in the realm of mathematical analysis, particularly exploring functions with non-decreasing increments and related inequalities. His contributions span various areas including convex functions, perturbed Ostrowski-type inequalities, and fuzzy Ostrowski-type inequalities. Dr. Mehmood’s work delves into theoretical frameworks and practical applications, advancing understanding in mathematical inequalities and their implications. With a keen interest in optimization and mathematical modeling, he continuously explores new perspectives and avenues within the field, enriching mathematical theory with innovative insights. πŸ“Šβœ¨

Publication Top Notes:

  1. Still Image-Based Human Activity Recognition with Deep Representations and Residual Learning – Cited by 11 – 2020 πŸ€–
  2. Some remarks on functions with non-decreasing increments – Cited by 10 – 2020 πŸ”
  3. On Functions With Nondecreasing Increments – Cited by 10 – 2020 πŸ“ˆ
  4. Some Results Related to Convexifiable Functions – Cited by 8 – 2020 πŸ”„
  5. Positivity of Sums for Higher Order βˆ‡βˆ’ Convex Sequences and Functions – Cited by 6 – 2020 βž•
  6. Positivity of Integrals for Higher Order βˆ‡βˆ’Convex and Completely Monotonic Functions – Cited by 5 – 2022 πŸ“Š
  7. Generalized perturbed Ostrowski-type inequalities – Cited by 5 – 2021 πŸ”–
  8. CONCAVE AND CONCAVIFIABLE FUNCTIONS AND SOME RELATED RESULTS – Cited by 5 – 2020 πŸ”„
  9. Positivity of sums and integrals for higher order βˆ‡βˆ’ convex and completely monotonic functions – Cited by 5 – 2017 βž•
  10. Some Remarks on Results Related To 𝜡-Convex Functions – Cited by 4 – 2021 πŸ”