Mdutshekelwa Ndlovu

Mdutshekelwa Ndlovu
University of Johannesburg | uj · Department of Science and Technology Education

DEd, MEd, BEd, BSc, Dip Ed

About

70
Publications
31,797
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308
Citations
Citations since 2016
30 Research Items
267 Citations
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2016201720182019202020212022010203040506070
2016201720182019202020212022010203040506070
Introduction
My research interests is the integration of ICT and fourth industrial revolution (new technologies) into the teaching of mathematics, problem-based learning in mathematics and science education, preservice and in-service mathematics teacher professional development. In tandem with the pragmatic paradigm, I prefer a mixed methods approaches that allow for a view of reality from both a positivist and an interpretivist point of view and the employment of deductive and inductive reasoning.
Additional affiliations
October 2018 - present
University of Johannesburg
Position
  • Professor (Associate)
October 2018 - present
University of Johannesburg
Position
  • Professor (Associate)
October 2015 - September 2018
Stellenbosch University
Position
  • Managing Director
Description
  • Deputy Director (Research) & Associate Professor of Mathematics and Science Education.
Education
July 2005 - December 2007
University of South Africa
Field of study
  • Mathematics Education
January 2003 - December 2004
University of South Africa
Field of study
  • Mathematics Education
January 2002 - December 2002
University of South Africa
Field of study
  • Mathematics Education

Publications

Publications (70)
Chapter
This chapter investigates the readiness and disposition of mathematics teachers in high school to adopt Fourth Industrial Revolution (4IR) technological tools to enhance their teaching methodologies and student learning. As technologies are developed within Industry 4.0, they also become available as by-products for education, changing the rules an...
Chapter
With the numerous advantages that characterised the fourth industrial revolution (4IR), Africa needs to intensify improvements in teaching Mathematics as a key Science, Technology, Engineering and Mathematics (STEM) subject at various levels of education. Mathematics is a fundamental and cross-cutting subject in post-basic education. Mathematics oc...
Article
Full-text available
Challenges of a lack of formal technology-embeded teacher training, collaborative learning models, adequate technology know-how, and internet access are barriers to adopting technological-enabled teaching and learning STEM subjects in the African context. This study examined technology adoption for STEM in higher education while evaluating students...
Article
Full-text available
In 2020, the COVID-19 pandemic strongly affected all sectors, including education. Across the globe, governments enacted policies restricting people's movement, affecting the educational assessment industry. During the lockdown, South Africa's National Benchmark Tests (NBTs) were cancelled. In contrast to paper-pencil and linear tests deployed for...
Article
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Computer adaptive testing (CAT) is a technological advancement for educational assessments that requires thorough feasibility studies through computer simulations to ensure strong testing foundations. This advancement is especially germane in Africa being adopters of technology, and this should not be done blindly without empirical evidence. A quas...
Article
Full-text available
National Benchmark Test Project (NBTP) was conceived as far back as 2004 by the public higher education leadership in South Africa and formally launched in 2005. NBTP was initiated to provide additional information to higher education in South African institutions in the admission and placement of students, establish the relationship between entry-...
Article
Full-text available
National Benchmark Test Project (NBTP) was conceived as far back as 2004 by the public higher education leadership in South Africa and formally launched in 2005. NBTP was initiated to provide additional information to higher education in South African institutions in the admission and placement of students, establish the relationship between entry-...
Article
Full-text available
The COVID-19 global pandemic's impact on education will take years to resolve. At this point, it is sensible to ponder the big questions of mathematics teaching and learning in disadvantaged contexts. This descriptive mixed-methods study is focused on the learners' perceptions of the Emergency Remote Teaching and Learning (ERTL) of mathematics duri...
Chapter
Full-text available
The purpose of this literature review study was to quantitatively examine the dominant paradigms in mathematics teacher professional learning/development research in South Africa for the 10-year period from 2006 to 2015, to complement an earlier study on research themes (Ndlovu, Invited lectures from the 13th International Congress on Mathematical...
Article
Full-text available
This study investigated the scalability of a cognitive multiple-choice test through the Mokken package in the R programming language for statistical computing. A 2019 mathematics West African Examinations Council (WAEC) instrument was used to gather data from randomly drawn K-12 participants (N = 2866; Male = 1232; Female = 1634; Mean age = 16.5 ye...
Preprint
div> This study examines remote proctoring as emerging practice for ascertaining the validity of offsite test administration regarding test security. While Computer Adaptive Testing (CAT) has the potentials for greater precision in determining examinees ability level, its gains can be jeopardized with off-site testing if the test is not ensured. Th...
Preprint
div> This study examines remote proctoring as emerging practice for ascertaining the validity of offsite test administration regarding test security. While Computer Adaptive Testing (CAT) has the potentials for greater precision in determining examinees ability level, its gains can be jeopardized with off-site testing if the test is not ensured. Th...
Article
Full-text available
The qualitative case study reported on here was commissioned and funded by the Western Cape Government (WCG) in partnership with the Cape Higher Education Consortium (CHEC) to inquire into attributes of well performing after-school programmes (ASPs) within the Western Cape provincei of South Africa. The research question of the study was: What qual...
Article
Full-text available
Teaching and learning have gone online in response to the pandemic, which reveals the need for accurately tailored educational assessments to ascertain the extent to which learning outcomes or objectives are achieved. Computer Adaptive Testing (CAT) is a technology-driven form of assessment that tailors items to a candidate's ability level with emp...
Article
Full-text available
Teaching and learning have gone online in response to the pandemic, which reveals the need for accurately tailored educational assessments to ascertain the extent to which learning outcomes or objectives are achieved. Computer Adaptive Testing (CAT) is a technology-driven form of assessment that tailors items to a candidate's ability level with emp...
Article
Full-text available
The COVID-19 global pandemic widely affected education across the world and engendered unprecedented scenarios that required expeditious responses. In South Africa, the pandemic came on top of pre-existing inequalities in the education system. Using a qualitative research method of exploratory and descriptive nature, this study engaged a social jus...
Article
Full-text available
The purpose of this mixed methods study was to investigate the effect of a graphing calculator (GC) intervention on Grade 11 learners’ achievement in quadratic inequality problem solving. The quantitative aspects of the study involved an experimental and control group design in which the experimental group received instruction using the GC activiti...
Article
Full-text available
The purpose of this study was to investigate preservice teachers’ (PSTs') beliefs about their intentions to integrate information and communication technologies (ICTs) in their future mathematics classrooms. The main research objective was to examine the extent to which PSTs’ beliefs predicted their intentions to integrate ICTs in their classrooms....
Conference Paper
Full-text available
The purpose of this study was to investigate the readiness of teachers in a selected high school in the Gauteng Province, to integrate mathematical technologies in the teaching of mathematics. One-on-one and focus group interviews were conducted to collect qualitative data to ascertain the available technology at the school, to determine teachers'...
Chapter
Wastewater may contain antibiotic-resistant bacteria (ARB) that can alter both plant and animal growth. The review focused on the inhibition of bacterial growth and the removal of ARB from wastewater. The outcome revealed that nanomaterials and biochar combined with other treatment methods and coagulation processes are recent strategies regarding A...
Conference Paper
Full-text available
This paper attempts to address the question of relevance of mathematical problems that characterised a problem-based learning (PBL) approach in a foundation programme (FP) mathematics s of Education (RME) approach are also invoked to critique the design of the problem tasks. The findings suggest that, to greater or lesser extent, the purposefully s...
Chapter
Full-text available
This chapter reports on the work of Working Group 4 and focuses on the integration of digital resources into mathematics teaching and learning practices. There are five central sections, focusing on, instrumental genesis, instrumental orchestration, the documentational approach to didactics, digital resources and teacher education, and the design o...
Conference Paper
Full-text available
Using the Theory of Instrumental Genesis (TIG) as a theoretical framework, this exploratory study investigates which instrumentation processes are dominant in a GeoGebra-enhanced mathematicslearning environment to support students to develop an understanding of function transformations. Students in a bridging program at a South African university p...
Conference Paper
Full-text available
Using the Theory of Instrumental Genesis (TIG) as a theoretical framework, this exploratory study investigates which instrumentation processes are dominant in a GeoGebra-enhanced mathematics-learning environment to support students to develop an understanding of function transformations. Students in a bridging program at a South African university...
Chapter
Full-text available
In this chapter, I review and identify themes in in-service mathematics teacher professional development/learning research in South Africa over a 10-year period from 2006 to 2015. No less than 92 journal articles were reviewed. Nine themes were identified as characterising research during this period. Mathematical knowledge for teaching and pedagog...
Article
Full-text available
The purpose of this article is to analyse teachers’ perceptions of using the modular object-oriented dynamic learning environment (Moodle) platform as a learning management system in a small-scale blended learning (b-learning) Advanced Certificate in Education (ACE) programme for in-service secondary school mathematics teachers in South Africa. It...
Article
Full-text available
The purpose of this study was to compare 334 learners' experiences of scientific inquiry in science fair projects and science classrooms. A mixed methods design was used involving a survey questionnaire with closed and open-ended items. The closed items measured the extent to which learners experienced inquiry in science fair projects and science c...
Conference Paper
Full-text available
EXTENDED ABSTRACT Advanced Programme Mathematics (APM) is an optional matriculation course in Mathematics, offered and assessed by the Independent Examination Board (IEB) in the final three years of high school in South Africa. This paper, based on du Plessis (2014) focuses on the transition from school to university Mathematics and the role of Adv...
Conference Paper
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The purpose of this study was to determine tutors' and principals' perceptions of the effectiveness of a postgraduate Advanced Certificate in Education (ACE) program offered at a South African university. The ACE reported here was a qualification meant to prepare practicing teachers to be more effective practitioners of Mathematical Literacy, Life...
Conference Paper
Full-text available
Learners' participation in science fairs has been encouraged on grounds of affording them opportunities to carry out hands-on practical activities such as scientific investigations oriented towards inquiry science. However, there has been some debate as to the usefulness of the science fair to ill-equipped learners in disadvantaged schools as their...
Article
Full-text available
The purpose of this article is to report on an investigation of the perceptions and performance of mathematics teachers in a teacher professional learning (TPL) programme based on realistic mathematics education (RME) principles, which included a topic on transformations, undertaken by the researcher. Forty-seven Senior Phase (Grade 7–9) teachers t...
Conference Paper
Full-text available
Throughout the world educationally disadvantaged students gain access to higher education but struggle to succeed. This study reports on a narrative ethnographic study of the experiences of seven such students at a university in South Africa. Data was collected through interviews while journals and social media were used as additional sources. Data...
Conference Paper
Full-text available
In this paper we analyse the effect of using the Moodle platform as a learning management system to support a blended learning in-service course for secondary school mathematics teachers in South Africa. First we describe briefly the background necessitating the in-service programme for maths teachers and then sketch out the theoretical frameworks...
Conference Paper
Full-text available
In rapidly expanding possibilities for harnessing digital technologies for blended learning purposes worldwide, this paper explores the challenges of overcoming the limited interactivity of telematic sessions, face-to-face contact sessions and distance from campus for in-service teachers in remotely located schools. The Centre for Pedagogy at Stell...
Conference Paper
Full-text available
In this paper I illustrate the representational capabilities of Sketchpad that have the potential to enhance a deeper understanding of the derivative concept in introductory calculus if appropriate learning trajectories are designed. Sketchpad is dynamic mathematics software with Trouche's instrumental theory affordances that can support multiple r...
Conference Paper
Full-text available
The subject of teacher knowledge has been a key issue in mathematics education reform and the advent of information technology to the mathematics classroom does not make it less topical. The purpose of this survey design study was to determine pre-service mathematics major teachers' understanding of geometrical definitions and class inclusion using...
Conference Paper
Full-text available
The purpose of this paper is to illustrate some of the obstacles or theoretical-computational conflicts that the integration of technology in the geometry classrooms can potentially bring. The question is whether we have to accept Euclidean definitions as immutable or we have to revisit them. The traditional school geometry quadrilateral, for examp...
Article
Full-text available
This article reports on the qualitative aspects of a study that examined whether introducing a Problem-based Learning (PBL) approach in a one-year foundation programme can create conditions for learners to develop and sustain self-directed learning skills. This interpretiveconstructivist case study was located in evaluation research. Data were coll...
Data
Learners' participation in science fairs has been encouraged for affording them experiences in carrying out hands-on activities such as scientific investigations oriented towards inquiry science. However, there has been some debate as to the viability of the Expo's usefulness to ill-equipped learners in disadvantaged schools as their cultural capit...
Conference Paper
Full-text available
Learners’ participation in science fairs has been encouraged for affording them experiences in carrying out hands-on activities such as scientific investigations oriented towards inquiry science. However, there has been some debate as to the viability of the Expo’s usefulness to ill-equipped learners in disadvantaged schools as their cultural capit...
Conference Paper
Full-text available
The purpose of this study was to compare students' perceptions of their experiences of scientific inquiry in science fair projects with their experiences of scientific inquiry in scientific investigations in the classroom. A mixed-methods approach was used involving a questionnaire survey with closed and open-ended items. A convenient sample of gra...
Conference Paper
Full-text available
Background: South Africa is a developing country whose education system is experiencing a transformation constrained by a legacy of apartheid. The latest TIMSS results confirm the uneven distribution of achievement in mathematics and science. Chief among the problems is that there is a dearth of suitably qualified and experienced teachers to teach...
Article
Full-text available
The subject of teacher competencies has been a key issue in mathematics education reform as the quality of an education system is fundamentally defined by the quality of its teachers. The study reported in this article attempted to identify and analyse displayed preservice teacher competencies and challenges encountered in early experiences with a...
Data
Extended abstract The purpose of this paper is to report on teachers' perceptions of the relevance of an in-service education and training (INSET) programme with specific reference to the topic of transformations presented by the researcher among other topics and several other presenters. Fifty-one Senior Phase (SP) teachers took part in the study...
Conference Paper
Full-text available
Extended abstract The purpose of this paper is to report on teachers' perceptions of the relevance of an in-service education and training (INSET) programme with specific reference to the topic of transformations presented by the researcher among other topics and several other presenters. Fifty-one Senior Phase (SP) teachers took part in the study...
Conference Paper
Full-text available
Extended abstract The purpose of this paper is to revisit ideas of van Hiele on the learning and teaching of geometry. I explore how this classical theorist viewed the development of geometrical thought in learners and provide some examples on how the theory can be applied in the teaching of Euclidean geometry in the Curriculum and Assessment Polic...
Data
The purpose of this paper is to critically analyse and discuss the views of constructivism, on the teaching and learning of mathematics. I provide a background to the learning of mathematics as constructing and reconstructing knowledge in the form of new conceptual networks; the nature, role and possibilities of constructivism as a learning theoret...
Article
Full-text available
The purpose of this paper is to critically analyse and discuss the views of constructivism, on the teaching and learning of mathematics. I provide a background to the learning of mathematics as constructing and reconstructing knowledge in the form of new conceptual networks; the nature, role and possibilities of constructivism as a learning theoret...
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Full-text available
South Africa's performance in international benchmark tests is a major cause for concern amongst educators and policymakers, raising questions about the effectiveness of the curriculum reform efforts of the democratic era. The purpose of the study reported in this article was to investigate the degree of alignment between the TIMSS 2003 Grade 8 Mat...
Article
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Pedagogical implications of students' misconceptions about deductive geometric proof First submission: 12 July 2011 Acceptance: 23 March 2012 The role of proof in school geometry has been a subject of intense debate throughout the twentieth century and that debate persists even today. This study aims to identify and analyse deductive geometric proo...
Conference Paper
Full-text available
South Africa's poor performance in international benchmark tests in the recent past has been a cause for deep concern among South Africa (SA)'s scholars, educators, policymakers and researchers alike. The purpose of the study reported in this poster was to investigate the degree of alignment between SA's grade 8 mathematics curriculum and the Trend...
Article
Full-text available
Encouragement to integrate information and communication technologies into mathematics education curricula is an increasingly universal phenomenon. As a contribution to the discourse, this article discusses the potential use in the classroom of The Geometer’s Sketchpad® (Key Curriculum Press, Emeryville, CA, United States) mathematics software in m...
Article
Full-text available
My purpose in this paper is to situate a university-school mathematics and science education partnership within a social justice perspective in education. The focus of the systemic intervention endeavour was school-based teacher professional development in which university-based facilitators embarked on class visits with the aim of identifying teac...
Article
Full-text available
The purpose of this study was to determine in-service students’ perceptions of the effectiveness of the Advanced Certificate in Education (ACE) programme offered by Stellenbosch University, South Africa, in preparing them to be confident teachers of Mathematical Literacy, Life Sciences or Physical Sciences in the Further Education and Training (FET...
Article
Full-text available
The purpose of this article is to report on a formative evaluation research study of a university-school partnership for mathematics and science education within a community engagement and social justice perspective in higher education in order to inform redesign and replicability. The partnership involved the school-based systemic intervention thr...
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Full-text available
The purpose of this chapter is to discuss how the idea of a Pedagogy of Hope is perceived, interpreted and realised at the Institute for Mathematics and Science Teaching of the University of Stellenbosch (IMSTUS). First some background information is given about the impact of the programmes which, it is argued, cannot be pinned to one Millennium De...
Conference Paper
Full-text available
In this paper we discuss the pedagogical role that the dynamic mathematics properties of the Geometer‟s Sketchpad can play in modeling and simulating the derivative concept and related notions in introductory calculus. The paper suggests that in an approach of modeling and simulation experiences in Sketchpad students’ concept images of the derivati...
Conference Paper
Full-text available
In the paper we discuss the pedagogical role that the dynamic mathematics properties of Geometer’s Sketchpad can play in modelling and simulating the derivative and related notions in introductory calculus within a hypothesized learning trajectory. The proliferation of information and communication technologies challenges mathematics educators to e...

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Projects (2)
Project
Hi, Stacy. I am woking on the implementaiton of a PBL approach in a foundation programme for mathematics. But a major part of my work is M & D student supervision in which the main focus is technology integration into the mathematics classroom.