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.
Highlights
An in-depth view of the subject – mathematics in any dimension cannot be appreciated without a brief mention of modern education
Evaluation of the overall performance is considered in four major categories: parental knowledge of mathematics under varying studying environmental factors; males and females mathematical intelligence under zero availability of predominant parameters (i.e. e, μ, q, r,tw = 0 ); male and female behavioral intelligence in mathematics under enhance predominant studying parameters (i.e. r = 0.4; μ, q=, tw 0= .5, e 0 ); and males and females behavioral intelligence in mathematics under enhanced predominant studying parameters intelligence =
Ordinary differential equations were used for the formulation of an 8-Dimensional mathematical dynamic model for the study of pupil/students’ behavioral intelligence in mathematics as a function of parental background
Summary
An in-depth view of the subject – mathematics in any dimension cannot be appreciated without a brief mention of modern education. Imbibing the above qualities on any child is a primary function of parents and/or guardians, whose responsibility are to characterize the intelligence of their children while at their formative stage of development (where their brain could take-in ). This fact was affirmed by [5], who stated that the intelligent of a student can be better predicted from the educational level of his parent. From the above point of view, this paper tends to define education as the training of youngsters between the ages of 6 to 18 years, which spelt the formative stage of any child
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