Francis Ohene Boateng

• Doctor of Philosophy in Applied Mathematics
• Professor (Associate) at Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development

Technology professional development (TPD) is crucial for educators, IT professionals, and other technology users to keep up with rapidly evolving technological landscapes. Pre-service teacher TPD programs aim to equip future educators with knowledge and skills needed to utilize innovation effectively in their instruction. During TPD initiatives, di...

This qualitative study, grounded in an interpretive paradigm, used a phenomenological methodology to explore the experiences of pre-service math teachers in three colleges of education in Ghana's Ashanti region. The sample included 50 participants. The results showed that people have positive views and attitudes about AI-assisted instruction. These...

Mathematics is fundamental to Information Technology (IT), underpinning key areas such as programming, cryptography, artificial intelligence (AI), and networking. However, many IT students perceive mathematics as abstract and disconnected from computing applications, leading to low engagement and weak competency. This study proposes the ITM-RPF, a...

This study investigated the relationship between technology acceptance and self-directed learning among students in the colleges of education in the Ashanti region of Ghana, with a focus on the mediating roles of positive emotions, learning motivation, and technological self-efficacy. With a sample of 237 students and employing Smart Partial Least...

The study investigated how teacher-effective communication mediated the relationship between students’ mathematics interest and performance. The descriptive survey design, which is anchored on the quantitative research approach of the positivism paradigm, was used, and 200 second-year students of a Senior High School in the Talensi district of the...

The study examined the usefulness of photo math app utilization in the teaching and learning of quadratic equations, the impact of photo math app usage on college of education students who were taught with photo math apps and those taught without photo math apps, and students’ perceived challenges of using photo math apps in learning quadratic equa...

This study explores the factors that contribute to enhancing students’ achievement in mathematics education (ACH) in the 21^st century, with a focus on the mediating role of student interest (STI). Technology integration (TCI), collaborative learning (COL), and student motivation (SMO) are examined as key determinants of academic achievem...

Marburg virus, like Ebola, causes haemorrhagic disease with high fatality rates. We developed a deterministic SEIRDVT model incorporating vaccination and treatment to study the disease dynamics. Qualitative analysis revealed a backward bifurcation when R0=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}...

A student's academic and cognitive development is greatly influenced by their mathematics education, and the importance of parental participation in promoting this interest cannot be estimated. The study aims to evaluate the impact of parental interest in mathematics and student’s mathematics interest on students’ mathematics achievement. The study...

Mathematics is a fascinating and perplexing subject that is constantly evolving in a variety of scientific fields. Naturally, it is amazing and beautiful to use mathematics to solve a real-life problem and comprehend it. However, most people fear mathematics. The goal of this research was to explore Ghanaian Junior High School pupils' level of anxi...

The study aimed to examine the role of teacher quality on students’ mathematics interest as facilitated by students’ perception of mathematics. The participants were 300 students from three senior high schools. The study was purely a quantitative method that employed a questionnaire as a data collection tool. The data was analyzed using Structural...

Many instances have presented mathematics as a difficult subject for students, and some of these difficulties have been perceived as an injustice to those who suffer from it. Meanwhile, no child is to be left behind in building a just society if all were to experience the collective good of mathematics. For this reason, it became necessary to explo...

https://link.springer.com/chapter/10.1007/978-3-031-62269-4_39

Privacy is given top priority as far as communication involving transfer of confidential document or data is concerned. There is therefore a need to keep confidential data secretive from being invaded by unauthorised access, and this is done through cryptography algorithms, where the Advanced Encryption Standard algorithm has been the widely accept...

The study aimed to examine how Gardner's Multiple Intelligences applied to Ghana's Senior High School's core mathematics curriculum and instruction. The Core Mathematics curriculum was the primary document reviewed for the study. The action verbs used in the objective, section teacher-learner activities section, and the evaluation section of the co...

This paper seeks to gain insights into teachers’ perceptions, and readiness to integrate information and communication technology (ICT) tools in mathematics instruction. A mixed-methods approach was employed, involving surveys and interviews with a sample of high school mathematics teachers. The study involved 90 mathematics teachers working in thr...

The purpose of the study was to investigate the paybacks of linking senior high school geometry to Akan cultural practice. The study area was the Ashanti region, which houses a chunk of the Akan people. The targeted population for the study included experienced mathematics teachers and people who are well-versed in Akan traditional art. Ten partici...

This work aimed to examine the role of Teach-Qual (Teachers Quality) model on student’s mathematics interest as mediated by student’s perception in mathematics. The study sample 300 students from three senior high schools found in the Ashanti Region of Ghana using Convenience, stratified sampling, and simple random sampling. The study is purely a q...

Science, technology, engineering, mathematics (STEM) education, the current engine for this technological generation, has made its way into Ghana's education system and is progressively becoming autonomous, particularly at the senior high level. It depends extensively on student mathematics performance to progress into their various dream STEM care...

The study of geometry enables students to think critically and make reasonable assumptions. In this paper, we investigate the relationship between pre-service teachers’ (PSTs) perception and achievement in geometry. Convergent mixed method design, which is a mixed method approach based on the pragmatist paradigm of research was employed and a sampl...

The study examined the mediating roles of students’ perception of mathematics, students’ self-efficacy and cooperative learning strategies in the relationship between teacher-student relationship and students’ mathematics achievement in all the senior high schools at Atwima Nwabiagya North District. The study was carried out using the descriptive s...

The paper uses a new technique to find a unique solution to a delay differential cobweb model (formulated from a joint supply-demand function of price) with real model parameters via the Lambert W-function without considering any complex branches. The dynamics of the model are demonstrated with simulations and found to complement previous studies u...

The performance of students in geometry has been consistently linked with attitude. Some attitudinal constructs (enjoyment, confidence and usefulness) and their link with pre-service teachers' achievement in geometry are investigated in this study. This quantitative study employed a questionnaire on the enjoyment, confidence, and usefulness of geom...

b>Purpose: This study investigated the mediation and moderation effect of mathematics interest and teaching quality on the relationship between self-concept and mathematics achievement. Design/methodology/approach : The study was conducted at Sakafia Islamic Senior High School (SHS) and Kumasi Academy SHS in Ghana. A sample comprised of 300 student...

The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz equation or the imposed Cauchy boundary conditions on the Helmholtz equation. To help bridge this gap...

This paper addresses the discrepancy between model findings and field data obtained and how it is minimized using the binning smoothing techniques: means, medians, and boundaries. Employing both the quantitative and the qualitative methods to examine the complex pattern involved in COVID-19 transmission dynamics reveals model variation and provides...

The use of social media and IT application tools as an alternative pedagogical approach in higher educational institutions of learning cannot be compromised. Considering their incalculable advantages especially, in these times of the COVID-19 pandemic where closure of schools characterised some of the mitigating factors which wedged pedagogy. Nonet...

In this paper, Covid-19 patients with self-immunity is incorporated in the Susceptible-Exposed-Infected-Quarantined-Recovered (SEIQR) model is applied to describe the epidemiology of Covid-19 infection in Ghana. Based on data on the epidemiology of the Covid-19 infection in Ghana, we observed that, on an average, three persons contract the Covid-19...

In this paper, we introduce a Finite Difference Fictitious Domain Wavelet Method (FDFDWM) for solving two dimensional (2D) linear elliptic partial differential equations (PDEs) with Dirichlet boundary conditions on regular geometric domain. The method reduces the 2D PDE into a 1D system of ordinary differential equations and applies a compactly sup...

This chapter of the book presents a Finite Difference Fictitious Domain Wavelet Method (FDFDWM) with penalty parameter for solving two dimensional linear elliptic PDE with Dirichlet boundary condition, defined on irregular geometric domains. Keywords: Dirichlet problem, penalty fictitious domain, PDEs, Daubechies wavelet function, irregular domain...

In this paper, a mathematical model is introduced to describe wastes pileup in Kwadaso Municipality which categorize wastes on the streets X 1 (t), wastes in gutters X 2 (t), wastes in the dustbins X 3 (t), wastes in households X 4 (t), wastes in the market places X 5 (t) and the wastes sent to dumpsites X 6 (t). From the qualitative data, it was o...

Existence and construction of the solutions of some Markov moment problems are discussed. Starting from the moments of a solution, one recalls a method of recovering this solution, also solving approximately related systems with infinite many nonlinear equations and infinite unknowns. This is the first aim of this review paper. Extension of linear...

We present a Finite Difference Fictitious Domain Wavelet Method (FDFDWM) with penalty for solving two dimensional (2D) Dirichlet problem for linear elliptic PDE on irregular geometric domains. In this method, the 2-D Dirichlet problem is discretized along one of the spatial variables, reducing it to a 1-D problem. The problem and the boundaries of t...

The pricing of seasonal and perishable crops such as tomatoes is of paramount concern to emerging economies. In this paper, we have formulated a model for the prices of tomatoes in the Ashanti Region of Ghana. We applied time series on the tomatoes price data recorded over the period of 1994 to 2015, sourced from the Ministry of Food and Agricultur...

The Cauchy-Dirichlet problem of the Helmholtz equation yields unstable solution, which when solved with the Quasi-Boundary Value Method (Q-BVM) for a regularization parameter α = 0. At this point of regularization parameter, the solution of the Helmholtz equation with both Cauchy and Dirichlet boundary conditions is unstable when solved with the Q-...

In this paper, we introduce a two-dimensional Chebyshev wavelet method (TCWM) for solving partial differential equations (PDEs) in L 2 (R) space. In this method, the spatial variables appearing in the PDE each has its own kernel, as well as wavelet coefficient for approximating the unknown solution of the equation. The approximated solution of the...

In this paper, we introduce a two-dimensional Chebyshev wavelet method (TCWM) for solving partial differential equations (PDEs) in L 2 (R) space. In this method, the spatial variables appearing in the PDE each has its own kernel, as well as wavelet coefficient for approximating the unknown solution of the equation. The approximated solution of the...

The number of Small and Medium Enterprises (SMEs) operating in the Adum Central Business District (CBD) of Kumasi, Ghana continues to grow at an increasing rate, but still they do not conform to the right standards and appropriate parameters. No matter what business activities they embark on some Information and Communication Technologies (ICTs) ca...

Random Numbers determine the security level of Cryptographic Applications as they are used to generate padding schemes in the encryption and decryption process as well as used to generate cryptographic keys. The more randomness in the numbers a generator generates the more effective the cryptographic algorithm, and the more secured it is to be used...

“Mayer waves” are long-period (6 to 12 seconds) oscillations in arterial blood pressure, which have been observed and studied for more than 100 years in the cardiovascular system of humans and other mammals. A mathematical model of the human cardiovascular system is presented, incorporating parameters relevant to the onset of Mayer waves. The model...

Graphing Calculator Technology possesses a lot of capabilities in solving a variety of scientific and non-scientific problems. Its programming abilities make it very flexible to use. Unfortunately, it has been underutilised. In this paper, we develop an application with the graphing calculator to handle the processes in a Matching Scheme for Assign...