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Wendy L. Baumgartner; Erica D. Spangenberg; Geoffrey V. Lautenbach – Pythagoras, 2024

Foundation programmes provide an alternate access route for prospective students whose prior academic results exclude direct entry to undergraduate studies. Bridging courses within foundation programmes address gaps in prior knowledge while developing content knowledge and requisite skills to equip students for the rigour of undergraduate degree…

Descriptors: Student Motivation, Learning Strategies, Foundation Programs, College Attendance

Atteeq Razzak – Pythagoras, 2024

During the pandemic and lockdown situations of the last few years, we transitioned to online, physical, and hybrid education approaches at various times. We had difficulty teaching multiple calculus and analytical geometry units online. In light of the current situation, a graphical user interface (GUI) teaching tool has been developed to teach…

Descriptors: Flipped Classroom, Physics, Science Instruction, Mathematics Instruction

Mónica Arnal-Palacián; Francisco J. Claros-Mellado; María T. Sánchez-Compaña – Pythagoras, 2024

The purpose of this article is to conduct a mathematical and phenomenological comparison of three concepts: (1) the finite limit of a function at a point, (2) the finite limit of a sequence, and (3) the infinite limit of a sequence. Additionally, we aim to analyse the presence of these concepts in Spanish textbooks. The methodology employed is…

Descriptors: Phenomenology, Textbooks, Mathematics Instruction, Teaching Methods

Marc P. North – Pythagoras, 2024

The subject Mathematical Literacy (ML) prioritises an interplay of mathematics and real-life contexts in pursuit of an empowerment agenda for improved life opportunities. In seeking to identify processes of inclusion-exclusion afforded by different conceptualisations of this interplay, a network of Bernstein's theoretical constructs --…

Descriptors: Foreign Countries, Numeracy, Curriculum Design, Daily Living Skills

Nadia M. Theba; Craig Pournara; Shikha Takker – Pythagoras, 2024

Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…

Descriptors: Algebra, Grade 10, Mathematics Instruction, Error Patterns

Bruce M. May – Pythagoras, 2024

A cohort of pre-service mathematics students was exposed to a teaching strategy based on retrieval practice and test-potentiated learning. The aim of the study was to determine how high and low prior topic knowledge study participants compare in terms of their procedural fluency and conceptual understanding after exposure to the teaching strategy.…

Descriptors: Prior Learning, Mathematics Instruction, Mathematics Skills, Problem Solving

Angel Mukuka; Jogymol K. Alex – Pythagoras, 2024

This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers' knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers' mathematical knowledge for teaching. An embedded mixed-methods case…

Descriptors: Mathematics Teachers, Preservice Teachers, Teacher Education Programs, Theory Practice Relationship

Luneta, Kakoma; Legesse, Mekonnen Y. – Pythagoras, 2023

School algebra serves as the language of mathematics and a foundational subject for learning advanced mathematics courses. This makes developing learners' proficiency in algebra the most desirable instructional goal of school mathematics. Despite having such importance emphasis, however, studies indicate that the vast majority of learners are…

Descriptors: Grade 11, High School Students, Algebra, Course Descriptions

Chikiwa, Samukeliso; Graven, Mellony – Pythagoras, 2023

Ongoing concern about poor learner performance in mathematics has led to wide-ranging research on the subject, globally and in South Africa. Among the remedies identified is the reformation of pre-service teacher (PST) education programmes in a way that supports the acquisition of professional skills for pre-service teachers. Developing PSTs'…

Descriptors: Preservice Teachers, Teacher Education Programs, Video Technology, Mathematics Instruction

Mark S. Jacobs; Frikkie George; Daniel Anga'ama – Pythagoras, 2023

The outbreak of COVID-19 and the consequent lockdown took the world by surprise, forcing the trimming of the school curriculum and institutions of higher learning to urgently adopt online platforms to continue teaching and learning. This article is a case study that explores the use of a social media platform, WhatsApp, to improve peer learning…

Descriptors: Electronic Learning, Peer Relationship, Social Media, Telecommunications

Brian Chihodzi; Willy Mwakapenda; Beatrice Ngulube – Pythagoras, 2023

Ticks and crosses (TCs) are a common aspect of teachers' classroom practice in relation to assessment in many learning areas including mathematics. Putting TCs in learners' written work is a strategy of feedback. Even though these TCs are frequently used in different types of mathematics assessments, there is limited research in relation to what…

Descriptors: Primary Education, Elementary School Mathematics, Mathematics, Educational Assessment

Rajendran Govender; Dzivaidzo Machingura – Pythagoras, 2023

Possessing mathematical competence is a pre requisite for independently comprehending, understanding and applying all features of mathematical modelling in a particular setting. This research study thus explores the mathematical modelling competencies that Grade 10 learners exhibit while solving contextual problems in a mathematics learning and…

Descriptors: Grade 10, Mathematical Models, Mathematics Skills, Problem Solving

M. Faaiz Gierdien; Wajeeh Daher; Awni M. Abu-Saman – Pythagoras, 2023

The ways teachers converse about their work in relation to information and communications technologies (ICTs) are worth studying. We analyse how a teacher converses about her local practices in relation to two spreadsheet algebra programs (SAPs) on variables. During the conversations we noticed that the teacher keeps different policy documents --…

Descriptors: Algebra, Mathematics Instruction, High Stakes Tests, Exit Examinations

Sizwe B. Mahlambi – Pythagoras, 2023

Learner diversity should be understood beyond the aspects of race, culture and gender. Learner-centred practices have been highly acclaimed as practical tools to meet learner needs in diverse classrooms. The purpose of this research is to determine whether mathematics teachers can employ assessment to monitor and encourage learner diversity in…

Descriptors: Mathematics Instruction, Student Diversity, Student Needs, Elementary School Students

Philemon M. Seloane; Sam Ramaila; Mdutshekelwa Ndlovu – Pythagoras, 2023

This study explored the utilisation of GeoGebra as a modelling tool to develop undergraduate engineering mathematics students' conceptual and procedural knowledge of complex numbers. This mission was accomplished by implementing GeoGebra-enriched activities, which provided carefully designed representational support to mediate between students'…

Descriptors: Undergraduate Students, Engineering Education, Mathematics Education, Foreign Countries