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Chagwiza, Conilius J.; Maharaj, Aneshkumar; Brijlall, Deonarain – Pythagoras, 2020

This article uses action-process-object-schema theory to study the mental constructions about the limit of series during a Calculus 1 course at a university. The researchers also used the theory's teaching methodology to teach the topic. A plethora of research on the limit concept is available and suggests that the concept is on record as being…

Descriptors: Calculus, Mathematical Concepts, Concept Formation, Schemata (Cognition)

Lampen, Erna; Brodie, Karin – Pythagoras, 2020

Mathematics clubs are becoming increasingly researched in South Africa, yet what might constitute a curriculum for such clubs has not been discussed. We present and analyse a curriculum design for clubs that we set up and worked with over three years. The goals of the clubs were to foster strong mathematical proficiency, identities and agency…

Descriptors: Clubs, Mathematics, Foreign Countries, Curriculum Development

Jaffer, Shaheeda – Pythagoras, 2020

In South Africa, differential performance in school mathematics with respect to social class remains an enduring concern as reflected in national and international large-scale assessments. The article examines the implications of evaluation for orientations to mathematics in a school populated by learners from upper-middle-class or elite…

Descriptors: Foreign Countries, High School Students, Grade 10, Secondary School Mathematics

Naidoo, Jayaluxmi – Pythagoras, 2020

Within the digital era, as global society embraces the fourth industrial revolution, technology is being integrated swiftly within teaching and learning. Within the Coronavirus disease (COVID-19) pandemic era, education institutions are preparing robustly for digital pedagogy. This article reports on a study focusing on 31 postgraduate mathematics…

Descriptors: Mathematics Instruction, Graduate Students, Educational Technology, Electronic Learning

Venter, Christiaan – Pythagoras, 2020

Despite the function concept being fundamental to mathematics, an adequate understanding of this concept is often lacking. This problem is prevalent at all levels of education and is reported in many countries. This article reports on a new pedagogical strategy based on exploring photographs or digital images as functions. The objective of this…

Descriptors: Mathematics, Mathematical Concepts, Mathematics Instruction, Visual Aids

Roberts, Abigail K.; Spangenberg, Erica D. – Pythagoras, 2020

Many learners are unmotivated to learn mathematics due to a lack of attention, irrelevance of mathematics, low self-confidence and dissatisfaction. However, peer tutoring can afford learners opportunities to engage with other individuals who have overcome similar challenges in the learning of mathematics and who can motivate them to become…

Descriptors: Peer Teaching, Tutoring, Role Perception, Learning Motivation

Zondo, Nombuso; Zewotir, Temesgen; North, Delia – Pythagoras, 2020

The South African education system bears evidence of fluctuations in the final Grade 12 mathematics marks occurring across different learner profiles. This study reflected on the National Senior Certificate (NSC) mathematics results from the Western Cape Education Department for the years 2009 to 2014, the period just after the introduction of the…

Descriptors: Foreign Countries, High School Students, Grade 12, Mathematics Education

Ndlovu, Levi; Ndlovu, Mdutshekelwa – Pythagoras, 2020

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…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Teaching Methods, Graphing Calculators

Mostert, Ingrid E. – Pythagoras, 2020

Word problems form an important part of the early grade mathematics curriculum in South Africa. Studies have shown that the relative difficulty of word problems differ: learners are more likely to solve certain types of word problems than others, with compare type problems being the most difficult. In order to help early grade learners understand…

Descriptors: Foreign Countries, Word Problems (Mathematics), Difficulty Level, Problem Solving

Qhibi, Agnes D.; Dhlamini, Zwelithini B.; Chuene, Kabelo – Pythagoras, 2020

Improving the strength of alignment between educational components is essential for quality assurance and to achieve learning goals. The purpose of the study was to investigate the strength of alignment between Senior Phase mathematics content standards and workbook activities on numeric and geometric patterns. The study contributes to…

Descriptors: Alignment (Education), Academic Standards, Secondary School Mathematics, Workbooks

Maseko, Jeremiah; Luneta, Kakoma; Long, Caroline – Pythagoras, 2019

The rational number knowledge of student teachers, in particular the equivalence of fractions, decimals, and percentages, and their comparison and ordering, is the focus of this article. An instrument comprising multiple choice, short answer and constructed response formats was designed to test conceptual and procedural understanding. Application…

Descriptors: Mathematics Instruction, Number Concepts, Test Validity, Models

Gierdien, Faaiz; Smith, Charles; Julie, Cyril – Pythagoras, 2019

The aim of this article is to shift the notion of 'sites' as places of work peculiar to continuous professional development (CPD) to a theoretical level, independent of, yet intimately connected to, their physical meanings, for example universities and schools. Most CPD initiatives have to contend with at least one of these two sites, in which…

Descriptors: Faculty Development, Mathematics Teachers, College School Cooperation, Algebra

Moru, Eunice K.; Qhobela, Makomosela – Pythagoras, 2019

The purpose of the reported study was to investigate the social science students' concept images and concept definitions of anti-derivatives. Data were collected through asking students to answer 10 questions related to anti-derivatives and also by interviewing them. The theory of concept image and concept definition was used for data analysis.…

Descriptors: Social Sciences, Concept Formation, Definitions, Mathematical Concepts

Roberts, Anthea; le Roux, Kate – Pythagoras, 2019

Concerns have been expressed that although learners may solve linear equations correctly they cannot draw on mathematically valid resources to explain their solutions or use their strategies in unfamiliar situations. This article provides a detailed qualitative analysis of the thinking of 15 Grade 8 and Grade 9 learners as they talk about their…

Descriptors: Foreign Countries, Mathematics Instruction, Equations (Mathematics), Grade 8

Mwadzaangati, Lisnet – Pythagoras, 2019

This qualitative case study examined similarities and differences between circle geometric proof development tasks set up in the Malawian Grade 11 mathematics textbook, and those that are set up and implemented by teachers in the classroom. Data generation included analysing the content of circle geometry proof tasks from the mathematics textbook…

Descriptors: Foreign Countries, Geometric Concepts, Validity, Mathematical Logic