Table of Contents

Geometric Cognitive Growth: An Information and Communication Technology

(ICT) Approach

Omotosho, Gabriel Akinlolu                                                                                                    1 – 8

On the Quantum Confinement effect of Missen Electron and Electron Charge

Carriers in a Typical Synthetic Semiconducting System

Ajayi J. O, Akinrinola O and Olawale E.O.                                                                               9 – 15

A Finite Sum of Heterogeneous Self-Similar Cantor-Like Set

Mark Laisin, Okoli. O. C and N. Nsiegbe                                                                                  16 – 21

A Case for Cadd in the Studio: An Appraisal of University of Jos Department

of Architecture

Erekpitan O. Ola-Adisa, Umar A. Audu and Inalegwu I. Ella                                                   22 – 36

Review of Basics Material Characterisation of II-VI Thin Film Semiconductors for

Use in Solar Cell Fabrication

D. G. Diso and A. O. Musa                                                                                                       37 – 55

Factors Affecting Student’s Performance in Mathematics: Factor Analysis Approach

Lawal, Ademola S. and Rapheal Nenlat                                                                                  56 – 64

On Lorentzian System of Differential Equation

Mohammed Abdullahi, Shuaibu Garba Ngulde and Abba Vulgwe Mandara                          65 – 74

ON LORENTZIAN SYSTEM OF DIFFERENTIAL EQUATION

 Mohammed Abdullahi, Shuaibu Garba Ngulde and Abba Vulgwe Mandara

Department of Mathematics and Statistics

University of Maiduguri, P. M. B. 1069, Maiduguri, Nigeria

E-mail: abdullahi1960@gmail.com

ABSTRACT

This paper proposes and demonstrates a new integration of the theory of buttery effect of chaos theory in relation to initial conditions. It is very unusual for a mathematical idea to disseminate into the society at large. An interesting example is chaos theory, popularized by Lorenz’s butterfly effect: “does the flap of a butterfly’s wings in Brazil set off a tornado in Texas?” A tiny cause can generate big consequences. We have suggested an analytic approach to Lorentz system and with the use of MACTCONT, toolboxes in MATLAB, we have computed the system using different initial conditions and tracked the behaviuor of the system, eventually ending up by showing impossibility of weather forecasting being ineffective after one week and become chaotic.

FACTORS AFFECTING STUDENT’S PERFORMANCE IN MATHEMATICS: FACTOR ANALYSIS APPROACH

Lawal, Ademola S. and Rapheal Nenlat

Department of Mathematics and Statistics

The Federal Polytechnic, Bauchi, Nigeria

E-mail: asco.lawal@yahoo.com

ABSTRACT

Performance in Mathematics by students has been observed to be poor persistently. This paper sought to investigate the factors affecting student performance in mathematics and to establish the strategies that can be adopted to improve performance in Mathematics by students in school of environmental, Federal polytechnic Bauchi. The study is to determine the basic factors that affect student’s performance in Mathematics. Descriptive survey research design was adopted for the study. The target population was all students taking Mathematics courses in School of Environmental. Stratified random sampling was adopted to select 200 respondents which comprised students from Architecture, Quantity survey, Building Technology, Estate Management and Surveying Geo-informatics.  The data for the research was collected by use of questionnaires. The results revealed that ten items were retained and were categorized under four different categories which are Attitude, Role of lecturer, Peers and Interest. Improving on these factors and sensitization of the practices which prohibit student’s effective participation in learning Mathematics could improve performance in Mathematics. It is anticipated that the findings of this study will give curriculum developers new insights into emerging issues on performance and influence the student and lecturer. Students are also expected to benefit from the findings; because improved Mathematics performance will give them good opportunities in confronting future challenges.

REVIEW OF BASICS MATERIAL CHARACTERISATION OF II-VI THIN FILM SEMICONDUCTORS FOR USE IN SOLAR CELL FABRICATION

D. G. Diso¹ and A. O. Musa²

¹Department of Physics, Kano University of Science & Technology, Wudil, PMB 3244, Kano-Nigeria.

²Department of Physics, Bayero University Kano, PMB 3011, Kano-Nigeria.

E-mail: dgdiso@yahoo.co.uk

ABSTRACT

Thin film semiconductors based on group II-VI family have been widely studied due to the need to maximize the electrical and optical properties of these materials for use as solar cells. A wide range of analytical techniques are normally used to investigate the layers of these materials. Some of the basic techniques used to characterise the deposited films include photo electrochemical (PEC) studies, optical absorption, X-ray diffraction (XRD), X-ray fluorescence (XRF), scanning electron microscopy (SEM), atomic force microscopy (AFM), Raman spectroscopy and X-ray photoelectron spectroscopy (XPS). This paper reviews in details these techniques and combines relevant results from the literature with more emphasis on CdTe, CdS and ZnTe in which the main author work with.

A CASE FOR CADD IN THE STUDIO: AN APPRAISAL OF UNIVERSITY OF JOS DEPARTMENT OF ARCHITECTURE 

Erekpitan O. Ola-Adisa, Umar A. Audu and Inalegwu I. Ella

Department of Architecture

University of Jos

E-mail: olaefeadisa@gmail.com

ABSTRACT

The students’ use of programs such as AutoCAD in the design of their studio projects before manually drafting their designs for portfolio examination forms a significant part of the design process. This paper examines students’ use of Computer Aided Design and Drafting (CADD) software programs in studios, in the Department of Architecture, University of Jos as case study. This paper also looks at the possibility of using use of CADD for the various aspects of the design process. This is accomplished through informal interviews with postgraduate students who are more inclined to use CADD as part of their conceptual design process and 3-D graphic modelling. This study is able to identify the effects of the use of computers in the design studio and how the teaching of CADD would enhance the methods employed in studio instruction.

A FINITE SUM OF HETEROGENEOUS SELF-SIMILAR CANTOR-LIKE SET 

Mark Laisin, Okoli. O. C and N. Nsiegbe

Department of Mathematics

Anambra State University Uli, Anambra State, Nigeria.

Email: laisinmark@yahoo.com; odicomatics@yahoo.com

ABSTRACT

A finite sum of heterogeneous cantor like set was considered. it was proved that this set is admissible by certain finite family of uniformly contracting self-similar set which is more general than the one considered by P. Mendes and a succinct prove is given under a weaker condition than the one in theorem 2 of P. Mendes.MSC (2010): Primary 28A80, 28A78; Secondary 54C30.

ON THE QUANTUM CONFINEMENT EFFECT OF MISSEN ELECTRON AND ELECTRON CHARGE CARRIERS IN A TYPICAL SYNTHETIC SEMICONDUCTING SYSTEM

Ajayi J. O, Akinrinola O and Olawale E.O.

Department of Pure and Applied Physics, Ladoke Akintola

University of Technology, Ogbomoso, Nigeria.

E-mail: simpleajayi@yahoo.com

ABSTRACT

An investigation on the quantum confinement effect of electron and missen electron, when decoupling has not taken place in a synthetic semiconductor structure of GaAs/AlGaAs has been carried out. We have derived analytical expressions of bound state energies from a careful study of the transcendental equation which reproduce impressively well, the numerical solutions of the corresponding transcendental equation for all confinement sizes and potential barrier without any adjustable parameter. These expressions depend on a unique parameter which contains the barrier height and well width. The investigation reveals that the optical absorption data in conjunction with computed energy level based on non-parabolic effective mass theory yielded the needed information (tunneling, exerted force on the wall just before tunneling, critical layer thickness, misfit dislocations etc) about the quantum confinement effect in the structure. Steeper graphs were obtained due to the large band offset (energy gap difference between the composite materials). Also, confinement energy is inversely proportional to the effective mass whereas, confinement potential depends on the direction of the structure.

GEOMETRIC COGNITIVE GROWTH: AN INFORMATION AND COMMUNICATION TECHNOLOGY (ICT) APPROACH

Omotosho, Gabriel Akinlolu

Department of Natural Science,

Nasarawa State Polytechnic, Lafia

E-mail: jogbodoakinlolu@gmail.com

ABSTRACT

This study investigated the geometric cognitive growth of the Van Hiele levels in a technology-enriched environment, as opposed to that of students in a learning environment without any technological enhancements. In order to investigate this, a quasi-experimental non-equivalent comparison group design was used. Similar course content was used for both the control and experimental groups. The students worked through a series of geometry activities and problems. The difference between the groups was that dynamic geometry software was integrated into the teaching of the experimental group. The Cognitive Development and Achievement Test (CDAT) Van Hiele geometry test was used to determine all the students’ level of geometric thinking before and after the course. The study found that the use of dynamic geometry software enhanced students’ geometric visualisation, analysis and deduction, but not their ability to informally justify their reasoning and to understand the formal aspects of deduction.