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We propose a deterministic model that describes the dynamics of students who have the capabilityWe propose a deterministic model that describes the dynamics of students who have the capabilityto perform well in mathematics examinations and engage in careers that demand its applicationand the negative inuence of individuals with mathematics anxiety on the potential students.Our model is based on SIR classical infectious model classes with Susceptible (S) and Infected (I)taken as Math anxious students (Ax) and Removed (R) adopted as achievers students (Aa) . Themodel is shown to be both epidemiologically and mathematically well posed. In particular, weprove that all solutions of the model are positive and bounded; and that every solution with initialconditions in remains in the set for all time. The existence of unique math anxious-freeand endemic equilibrium points is proved and the basic reproduction number R0 computed usingnext generation matrix approach. A global stability of anxious-free and the endemic equilibria areperformed using Lasselles invariance principle of Lyapunov functions. Sensitivity analysis showsthat achievement rate of potential achievers and achievement rate of math anxious students are the most sensitive parameters. This indicates that effort should be directed towards theseparameters, by having well trained mathematics staff and the best printed and technological resources so as to control the spread of mathematics anxiety. Furthermore, scaling up the understanding level of mathematics algorithms, lowers the mathematics anxiety level and consequently, the spread of mathematics anxiety amongst students reduces. Lastly, some numerical simulations are performed to verify the theoretical analysis result using Matlab software.
Yarhands Dissou Arthur. Connecting mathematics to real life problems: A teaching quality that improves students mathematics interest. IOSR Journal of Research and Method in Education (IOSR-JRME). 2018;8(4):65-71.
Ketterlin-Geller L, Chard DJ. Algebra readiness for students with learning diculties in grades 4-8: Support through the study of number. Australian Journal of Learning Diculties.
Greer B. Algebra for all. Montana Mathematics Enthusiast. 2008;5(2):423428.
Dweck CS. Motivational processes aecting learning. American Psychologist,;41(10):10401048.
Mensah JK, Okyere M, Kuranchie A. Student attitude towards Mathematics and performance : Does the teacher attitude matter ? Journal of Education and Practice. 2013;4(3):132139.
Rowland T, Huckstep P, Thwaites A. Elementary teachers mathematics subject knowledge:
The knowledge quartet and the case of Naomi. Journal of Mathematics Teacher Education.
Kadiri.SA. The eectiveness of the personalized system of instruction among secondary school students in Osun State. Unpublished PhD Thesis, Obafemi Awolowo University, Ile-life, Nigeria; 2004.
Yarhands Dissou Arthur, Emmanuel Ko Owusu, Samuel Asiedu-Addo, Ato Kwamina Arhin.
Connecting mathematics to real life problems: A teaching quality that improves students mathematics interest. IOSR Journal of Research and Method in Education (IOSR-JRME) .
e- ISSN: 23207388,p-ISSN: 2320737X
Palm, T. Impact of authenticity on sense making in word problem solving. Educational Studies in Mathematics. 2008;671(1):3758.
Rakes CR, Valentine JC, McGatha MB, Ronau RN. Methods of instructional improvement in algebra: A systematic review and meta-analysis. Review of Educational Research.
Adeyemi TO. Teachers teaching experience and students learning outcomes in secondary schools in Ondo state, Nigeria. MED Project, Department of Educational Foundation and Management, University of Ado-Ekiti-Nigeria; 2008.
Jonnes M. Trained and untrained secondary school teachers in Barbados, is there a dierence in classroom performance? Educational Research. 1993;39(2):182.
Sweeney JD. A study of some factors related to mathematical achievement in Mississippi High schools as measured on the American College test. Unpublished PhD Thesis University of Mississippi, USA; 1989.
Mji A, Makgato. Factors that associate with high school learners poor performance. Spotlight on Mathematics and Physical Sciences South Africa. Journal of Education. 2006;26.
Yeya MS. An investigation of the probable causes of poor performance in K.C.S.E in Matunga Division. Kwale district, MED project, Kenyatta University; 2002.
Chariswa P. An investigation into the probable factor responsible for poor performance of mathematics in K.C.S.E in Vihiga district of western Kenya. A project for the degree of Master of Education. Kenyatta University; 2002.
Buckley PA, Ribordy SC. Mathematics anxiety and the eects of evaluative instructions on math performance. Paper presented at the Midwestern Psychological Association, Minneapolis, MN; 1982.
USAID. Educational program strategy revision Wednesday, September 10 2003, Rural schools in South Africa have poor facilities, lacking water, electricity and adequate learning facilities; Lakshmikanthan V, Leela S, Martynyuk AA. Stability analysis of nonlinear system. Mareel Dekker, Inc.: New York, NY; 1989.
Hethcote HW. The Mathematics of Infectious Diseases. SIAM Review. 2000;42(4):599-653.
Heesterbeek JAP, Dietz K. The concept of R0 in epidemic theory. Statistica Neerlandica.
Merkin DR. Introduction to the theory of stability. Springer-Verlag New York, Inc; 1 997.
Garba SM, Gumel AB. Mathematical recipe for HIV elimination in Nigeria. Journal of the Nigeria Mathematical Society. 2010;29:51-112.
LaSalle JP. The stability of dynamical systems. Regional Conference Series in Applied Mathematics. SIAM, Philadelphia, PA, USA. 1976;25.
Okaka CA, Mugisha JYT, Manyonge A, Ouma C. Modelling the impact of misdiagnosis and treatment on the dynamics of Malaria concurrent and co-infection with pneumonia. Applied Mathematical Sciences. 2013;7(126):6275-6296.
Kenya Demographics Prole; 2014.
Nakul C, Cushing JM, Hyman JM. Bifurcation analysis of a mathematical model for malaria transmission. SIAM Journal on Applied Mathematics. 2006;67(1):2445.
Makinde OD, Okosun KO. Impact of chemo-therapy on optimal control of malaria disease with infected immigrants. BioSystems. 2011;104:3241.