On Quantitative Analysis Model for the Dynamics of the Effect of Parental Background on Pupil/Students Performance in Mathematics

Bassey B. Echeng^1,

¹Department of Mathematical /Statistics, Cross River University of Technology, 540252, Calabar, Nigeria

Cite this paper:
Bassey B. Echeng. On Quantitative Analysis Model for the Dynamics of the Effect of Parental Background on Pupil/Students Performance in Mathematics. Applied Mathematics and Physics. 2017; 5(2):28-39. doi: 10.12691/amp-5-2-1

Abstract

In this paper, using ordinary differential equations, mathematical performance model was formulated to study the dynamics of pupil/students’ performance in mathematics as a function of parental background, incorporating a number of environmental factors. The model considered 8 subgroups, which led to derivation of 8-Dimensional dynamic mathematical model for the study of students’ performance in mathematics. Model analysis explored numerical methods and the computational simulations of the model indicated that the proportion of pupil/students’ from parents with probability of transmission of hereditary and acquired intelligence exhibited high performance in the subject. However, under a cozy environmental factors, male pupil/students’ possess more of acquired intelligence in mathematical, whereas, the females exhibited dominance and are sharper via hereditary intelligence. The model therefore, recommended devotion of attention and resources by parents on acquired intelligence of their pupil/students’; as well as both governmental and non-governmental agencies willingness to compliment efforts of parents in the provision of appropriate environment for the enhancement of pupil/students’ performance in mathematics. Furthermore, the optimal control and broader predominant studying parameters for similar model is highly encouraged.

Keywords:
formative-stage student’s-performance parental-background hereditary acquired-intelligence

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References:

[1]	Fafunwa, A. (1974). History of Education in Nigeria. London, George Allen and Unwin, pp. 22-31.
[2]	Adeyemo, P. P. (1972). Principle and Practices of Education. Odo-Ekiti, pp. 11.
[3]	Amadi, L. E. (1981). Principle of Curriculum Development Legacy, p. 12.
[4]	Collin, G. (1902). English Dictionary, London, pp. 280.
[5]	Hilgard, E., Richard, C., Alkinson, P. and Rita, H. (1933). Level of Aspiration as Affected by Relation Standing in an Experimental psychology, London, pp.13-27.
[6]	Fatienla, S. O. (1985). Computational: proceeding of the first international conference in numerical analysis and its appreciation, ed., p. 2.
[7]	Kreyszig, E. (1980). Advanced Engineering Mathematics. London, p. 940.
[8]	Peter, H. (1973). Elements of Numerical Analysis. McGraw-Hill Incorporated p. 3.
[9]	Anderson, R. M. and May, R. M. (1991). Infectious Diseases of Humans: Dynamics and Control, Oxford University Press, N. Y. pp. 290-292.
[10]	Kimbir, A. R., Musa, S. and Bassey, E. B. On a two-sex Mathematical model for the prevention of HIV/AIDS in a varying population//J. Math. Assoc. Nig., 2006. 33, 201, pp 1 -13.
[11]	Boaler, J. and Selling, S. K. (2017). Psychological imprisonment or intellectual freedom? a longitudinal study of contrasting school mathematics approaches and their impact on adults’ lives. http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2017/Vol48/Issue1/Psychological-Imprisonment-or-Intellectual-Freedom_-A-Longitudinal-Study-of-Contrasting-School-Mathematics-Approaches-and-Their-Impacton-Adults_-Lives/ . Accessed February 22, 2017.
[12]	Velasco-Hernandez, J. X. and Hsieh, Y. H. (1994). Modeling the effect of treatment and behavioral change in HIV transmission dynamics. J. Math. Biol., 32, pp 233-349.
[13]	Megan, N. and Craig, J. C. (2017). Mathematical Thinking and Learning through Robotics Play for Children with Critical Illness: The Case of Amelia. http://www.nctm.org/Publications/Journal-for-Research-in-Mathematics-Education/2017/Vol48/Issue1/Mathematical-Thinking-and-Learning-Through-Robotics-Play-for-Children-With-Critical-Illness_-The-Case-of-Amelia/. Accessed February 22, 2017.
[14]	Toerner, G. and Arzarello, F. (2017) Grading Mathematics Education Research Journals. http://www.mathematik.uni-dortmund.de/~erme/doc/EMS-ERME-Ranking_Journals_Project.pdf . Accessed February 22, 2017.
[15]	Dawkins, P. (2017) How to Study Mathematics. http://tutorial.math.lamar.edu/pdf/How_To_Study_Math.pdf. Accessed February 22, 2017.