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Pythagoras

Journal focus: The presentation and critical discussion of current research and developments in Mathematics Education.
Editor: Rajendran Govender , University of the Western Cape, South Africa.
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  • Ascertaining Grade 10 learners’ levels of mathematical modelling competency through...
    Govender, Rajendran; Machingura, Dzivaidzo
    Pythagoras; Vol 44, No 1 (2023); 18 pages
    2023-12-08
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  • Solving quadratic equations by completing the square: Applying Newman’s Error Analysis...
    Makgakga, Tšhegofatšo P.
    Pythagoras; Vol 44, No 1 (2023); 11 pages
    2023-12-07
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  • The impact of artificial intelligence and the future of ChatGPT for mathematics...
    Govender, Rajendran
    Pythagoras; Vol 44, No 1 (2023); 2 pages
    2023-12-04
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  • Talk that supports learners’ folding back for growth in understanding geometry
    Chuene, Kabelo; Mabotja, Koena; Maoto, Satsope
    Pythagoras; Vol 44, No 1 (2023); 9 pages
    2023-11-30
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  • Conversations reflecting boundary-objects-related details of a teacher’s local...
    Gierdien, M. Faaiz; Daher, Wajeeh; Abu-Saman, Awni M.
    Pythagoras; Vol 44, No 1 (2023); 13 pages
    2023-11-30
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  • Mathematics teachers’ use of assessment for learning to promote classroom diversity of...
    Mahlambi, Sizwe B.
    Pythagoras; Vol 44, No 1 (2023); 9 pages
    2023-11-23
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  • Acknowledgement to reviewers
    Office, Editoial
    Pythagoras; Vol 44, No 1 (2023); 1 page
    2023-11-20
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  • Mathematics education for relevance, responsiveness, and viability in Africa within the...
    Maoto, Rose S.
    Pythagoras; Vol 44, No 1 (2023); 3 pages
    2023-11-06
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  • Ticks and crosses in primary mathematics assessments: What purpose do they serve?
    Chihodzi, Brian; Mwakapenda, Willy; Ngulube, Beatrice
    Pythagoras; Vol 44, No 1 (2023); 13 pages
    2023-10-11
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  • Online learning and peer support: Exploring the use of WhatsApp in first-year mathematics
    Jacobs, Mark S.; George, Frikkie; Anga’ama, Daniel
    Pythagoras; Vol 44, No 1 (2023); 9 pages
    2023-09-07
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  • Discourse-based mathematics instruction on Grade 11 learners’ mathematical proficiency...
    Luneta, Kakoma; Legesse, Mekonnen Y.
    Pythagoras; Vol 44, No 1 (2023); 11 pages
    2023-07-07
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  • Exploring the development of South African pre-service teachers’ reflective practice
    Chikiwa, Samukeliso; Graven, Mellony
    Pythagoras; Vol 44, No 1 (2023); 15 pages
    2023-06-28
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  • Table of Contents Vol 43, No 1 (2022)
    Office, Editorial
    Pythagoras; Vol 43, No 1 (2022); 1 page
    2022-12-31
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  • Acknowledgement to reviewers
    Office, Editorial
    Pythagoras; Vol 43, No 1 (2022); 1 page
    2022-12-19
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  • Research Resilience in the COVID era
    Govender, Rajendran
    Pythagoras; Vol 43, No 1 (2022); 1 page
    2022-12-15
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  • Prospective teachers’ cognitive engagement during virtual teaching in the time of...
    Tesfamicael, Solomon A.
    Pythagoras; Vol 43, No 1 (2022); 15 pages
    2022-11-04
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  • The sequencing and pairing of examples in the midst of sameness and difference: Opening...
    Pillay, Vasen; Adler, Jill; Runesson Kempe, Ulla
    Pythagoras; Vol 43, No 1 (2022); 10 pages
    2022-11-01
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  • Investigating the cognitive demand levels in probability and counting principles...
    Ekol, George; Mlotshwa, Simphiwe
    Pythagoras; Vol 43, No 1 (2022); 8 pages
    2022-09-16
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  • The intersect of early numeracy, vocabulary, executive functions and logical reasoning...
    Bezuidenhout, Hanrie S.; Henning, Elizabeth
    Pythagoras; Vol 43, No 1 (2022); 8 pages
    2022-09-15
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  • Grade 10 teachers’ example selection, sequencing and variation during functions lessons
    Mbhiza, Hlamulo W.
    Pythagoras; Vol 43, No 1 (2022); 11 pages
    2022-08-30
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  • Novice mentors versus mentees: Mentoring experiences in mathematics at General...
    Mahofa, Ernest; Adendorff, Stanley A.
    Pythagoras; Vol 43, No 1 (2022); 10 pages
    2022-08-19
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  • Effective communication of learning intentions and success criteria in the mathematics...
    Adesanya, Lydia O.; Graham, Marien A.
    Pythagoras; Vol 43, No 1 (2022); 13 pages
    2022-08-16
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  • Exploring the relationship between commognition and the Van Hiele theory for studying...
    Mahlaba, Sfiso C.; Mudaly, Vimolan
    Pythagoras; Vol 43, No 1 (2022); 11 pages
    2022-07-29
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  • Weathering the storm: Learning strategies that promote mathematical resilience
    Khumalo, Vuyisile L.; van Staden, Surette; Graham, Marien A.
    Pythagoras; Vol 43, No 1 (2022); 11 pages
    2022-07-25
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  • Language and multilingualism in the teaching and learning of mathematics in South...
    McLachlan, Kathryn; Essien, Anthony A.
    Pythagoras; Vol 43, No 1 (2022); 11 pages
    2022-07-22
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  • Exploring low-tech opportunities for higher education mathematics lecturers in an...
    Makina, Antonia; Kadzere, Langton
    Pythagoras; Vol 43, No 1 (2022); 10 pages
    2022-04-22
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  • Complexities of translating mathematics tasks from English to learners’ home languages
    Mpalami, Nkosinathi
    Pythagoras; Vol 43, No 1 (2022); 6 pages
    2022-01-18
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  • Table of Contents Vol 42, No 1 (2021)
    Office, Editorial
    Pythagoras; Vol 42, No 1 (2021); 1 page
    2021-12-30
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  • Acknowledgement to reviewers
    Office, Editorial
    Pythagoras; Vol 42, No 1 (2021); 1 page
    2021-12-21
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  • Reasoning under uncertainty within the context of probability education: A case study...
    Elbehary, Samah G.A.
    Pythagoras; Vol 42, No 1 (2021); 15 pages
    2021-12-17
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  • Novice and expert Grade 9 teachers’ responses to unexpected learner offers in the...
    Moodliar, Julian; Abdulhamid, Lawan
    Pythagoras; Vol 42, No 1 (2021); 13 pages
    2021-12-15
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  • Constructing mental diagrams during problem-solving in mathematics
    Mudaly, Vimolan
    Pythagoras; Vol 42, No 1 (2021); 8 pages
    2021-11-29
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  • Insights into the reversal error from a study with South African and Spanish...
    Soneira, Calos; Bansilal, Sarah; Govender, Reginald
    Pythagoras; Vol 42, No 1 (2021); 11 pages
    2021-11-25
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  • Early career teacher’s approach to fraction equivalence in Grade 4: A dialogic teaching...
    Shongwe, Benjamin
    Pythagoras; Vol 42, No 1 (2021); 14 pages
    2021-11-15
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  • Reflecting on dilemmas in digital resource design as a response to COVID-19 for...
    Vale, Pamela; Graven, Mellony H.
    Pythagoras; Vol 42, No 1 (2021); 17 pages
    2021-11-09
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  • Grade 9 learners’ understanding of fraction concepts: Equality of fractions, numerator...
    Moyo, Methuseli; Machaba, France M.
    Pythagoras; Vol 42, No 1 (2021); 13 pages
    2021-10-21
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  • Design principles to consider when student teachers are expected to learn mathematical...
    Durandt, Rina
    Pythagoras; Vol 42, No 1 (2021); 13 pages
    2021-09-29
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  • Professional development for teachers’ mathematical problem-solving pedagogy – what...
    Chirinda, Brantina
    Pythagoras; Vol 42, No 1 (2021); 12 pages
    2021-08-25
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  • Bridging powerful knowledge and lived experience: Challenges in teaching mathematics...
    Brodie, Karin; Gopal, Deepa; Moodliar, Julian; Siala, Takalani
    Pythagoras; Vol 42, No 1 (2021); 14 pages
    2021-08-13
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  • Flexible teaching of mathematics word problems through multiple means of representation
    Moleko, Matshidiso M.; Mosimege, Mogege D.
    Pythagoras; Vol 42, No 1 (2021); 10 pages
    2021-08-10
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  • The contribution of online mathematics games to algebra understanding in Grade 8
    Marange, Tichaona; Adendorff, Stanley A.
    Pythagoras; Vol 42, No 1 (2021); 8 pages
    2021-07-29
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  • Table of Contents Vol 41, No 1 (2020)
    Office, Editorial
    Pythagoras; Vol 41, No 1 (2020); 1 page
    2020-12-23
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  • Acknowledgement to Reviewers
    Office, Editorial
    Pythagoras; Vol 41, No 1 (2020); 1 page
    2020-12-21
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  • Relative difficulty of early grade compare type word problems: Learning from the case...
    Mostert, Ingrid E.
    Pythagoras; Vol 41, No 1 (2020); 16 pages
    2020-12-21
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  • Becoming mathematical: Designing a curriculum for a mathematics club
    Lampen, Erna; Brodie, Karin
    Pythagoras; Vol 41, No 1 (2020); 15 pages
    2020-12-18
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  • Evaluation and orientations to Grade 10 mathematics in schools differentiated by social...
    Jaffer, Shaheeda
    Pythagoras; Vol 41, No 1 (2020); 12 pages
    2020-12-17
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  • Investigating the strength of alignment between Senior Phase mathematics content...
    Qhibi, Agnes D.; Dhlamini, Zwelithini B.; Chuene, Kabelo
    Pythagoras; Vol 41, No 1 (2020); 16 pages
    2020-12-17
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  • University students’ mental construction when learning the Convergence of a Series concept
    Chagwia, Conilius J.; Maharaj, Aneshkumar; Brijlall, Deonarain
    Pythagoras; Vol 41, No 1 (2020); 13 pages
    2020-12-15
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  • Learner performance in the 2009 to 2014 final Grade 12 mathematics examination: A...
    Zondo, Nombuso; Zewotir, Temesgen; North, Delia
    Pythagoras; Vol 41, No 1 (2020); 13 pages
    2020-11-30
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  • Postgraduate mathematics education students’ experiences of using digital platforms for...
    Naidoo, Jayaluxmi
    Pythagoras; Vol 41, No 1 (2020); 11 pages
    2020-11-30
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  • The effect of graphing calculator use on learners’ achievement and strategies in...
    Ndlovu, Levi; Ndlovu, Mdutshekelwa
    Pythagoras; Vol 41, No 1 (2020); 13 pages
    2020-11-18
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  • Peer tutors’ views on their role in motivating learners to learn mathematics
    Roberts, Abigail K.; Spangenberg, Erica D.
    Pythagoras; Vol 41, No 1 (2020); 13 pages
    2020-09-28
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  • Pedagogical narratives in mathematics education in South Africa
    Smith, Charles R.
    Pythagoras; Vol 41, No 1 (2020); 3 pages
    2020-09-25
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  • Learning the function concept by exploring digital images as functions
    Venter, Christiaan
    Pythagoras; Vol 41, No 1 (2020); 15 pages
    2020-08-31
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  • Table of Contents Vol 40, No 1 (2019)
    Office, Editorial
    Pythagoras; Vol 40, No 1 (2019); 1 page
    2019-12-19
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  • Acknowledgement to reviewers
    Office, Editorial
    Pythagoras; Vol 40, No 1 (2019); 1 page
    2019-12-17
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  • The professional development of primary school mathematics teachers through a...
    Biccard, Piera
    Pythagoras; Vol 40, No 1 (2019); 10 pages
    2019-12-17
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  • Book review: International reflections on Realistic Mathematics Education
    Adendorff, Stanley A.
    Pythagoras; Vol 40, No 1 (2019); 3 pages
    2019-12-17
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  • The use of semiotic representations in reasoning about similar triangles in Euclidean...
    Ubah, Ifunanya; Bansilal, Sarah
    Pythagoras; Vol 40, No 1 (2019); 10 pages
    2019-12-13
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  • Using standard setting to promote meaningful use of mathematics assessment data within...
    Moloi, Qetelo M.; Kanjee, Anil; Roberts, Nicky
    Pythagoras; Vol 40, No 1 (2019); 14 pages
    2019-12-12
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  • Mathematics teachers’ levels of technological pedagogical content knowledge and...
    de Freitas, Gabrielle; Spangenberg, Erica D.
    Pythagoras; Vol 40, No 1 (2019); 13 pages
    2019-12-11
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  • Comparison of geometric proof development tasks as set up in the textbook and as...
    Mwadzaangati, Lisnet
    Pythagoras; Vol 40, No 1 (2019); 14 pages
    2019-12-10
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  • The standard written algorithm for addition: Whether, when and how to teach it
    Roberts, Nicky
    Pythagoras; Vol 40, No 1 (2019); 17 pages
    2019-12-06
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  • Erratum: A commognitive perspective on Grade 8 and Grade 9 learner thinking about...
    Roberts, Anthea; le Roux, Kate
    Pythagoras; Vol 40, No 1 (2019); 1 page
    2019-12-05
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  • Towards validation of a rational number instrument: An application of Rasch measurement...
    Maseko, Jeremiah; Luneta, Kakoma; Long, Caroline
    Pythagoras; Vol 40, No 1 (2019); 12 pages
    2019-12-05
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  • Keeping sites in sight: Conversations with teachers about the design of toolkits...
    Gierdien, Faaiz; Smith, Charles; Julie, Cyril
    Pythagoras; Vol 40, No 1 (2019); 11 pages
    2019-12-05
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  • Social science students’ concept images and concept definitions of anti-derivatives
    Moru, Eunice K.; Qhobela, Makomosela
    Pythagoras; Vol 40, No 1 (2019); 12 pages
    2019-11-13
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  • Webs of development: Professional networks as spaces for learning
    Ngcoza, Kenneth; Southwood, Sue
    Pythagoras; Vol 40, No 1 (2019); 7 pages
    2019-06-27
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  • A commognitive perspective on Grade 8 and Grade 9 learner thinking about linear equation
    Roberts, Anthea; le Roux, Kate
    Pythagoras; Vol 40, No 1 (2019); 15 pages
    2019-03-28
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  • Corrigendum: Metacognitive awareness and visualisation in the imagination: The case of...
    Jagals, Divan; van der Walt, Marthie
    Pythagoras; Vol 40, No 1 (2019); 1 page
    2019-02-13
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  • Table of Contents Vol 39, No 1 (2018)
    Office, Editorial
    Pythagoras; Vol 39, No 1 (2018); 1 page
    2018-12-24
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  • Acknowledgement to Reviewers
    Office, Editorial
    Pythagoras; Vol 39, No 1 (2018); 1 page
    2018-12-11
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  • ‘Eighteen hands high’: A narrative reading of Animal Farm from a mathematical perspective
    Mwale, Liveness; Mwakapenda, Willy
    Pythagoras; Vol 39, No 1 (2018); 10 pages
    2018-11-15
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  • Tracking Grade 10 learners’ geometric reasoning through folding back
    Mabotja, Samuel; Chuene, Kabelo; Maoto, Satsope; Kibirige, Israel
    Pythagoras; Vol 39, No 1 (2018); 10 pages
    2018-11-15
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  • Exploring teachers’ use of technology in teaching and learning mathematics in...
    Umugiraneza, Odette; Bansilal, Sarah; North, Delia
    Pythagoras; Vol 39, No 1 (2018); 13 pages
    2018-11-14
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  • Conversations in a professional learning community: An analysis of teacher learning...
    Chauraya, Million; Brodie, Karin
    Pythagoras; Vol 39, No 1 (2018); 9 pages
    2018-10-31
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  • Acquiring mathematics as a second language: A theoretical model to illustrate...
    Ledibane, Maureen; Kaiser, Kotie; van der Walt, Marthie
    Pythagoras; Vol 39, No 1 (2018); 12 pages
    2018-10-29
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  • Mathematical sense-making through learner choice
    Biccard, Piera
    Pythagoras; Vol 39, No 1 (2018); 9 pages
    2018-10-24
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  • Students’ understanding of geometry terminology through the lens of Van Hiele theory
    Alex, Jogymol; Mammen, Kuttickattu J.
    Pythagoras; Vol 39, No 1 (2018); 8 pages
    2018-10-18
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  • Affordances for learning linear functions: A comparative study of two textbooks from...
    Mellor, Kathryn; Clark, Robyn; Essien, Anthony A.
    Pythagoras; Vol 39, No 1 (2018); 12 pages
    2018-09-26
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  • Metacognitive awareness and visualisation in the imagination: The case of the invisible...
    Jagals, Divan; van der Walt, Marthie
    Pythagoras; Vol 39, No 1 (2018); 10 pages
    2018-08-13
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  • Beyond test scores: A framework for reporting mathematics assessment results to enhance...
    Moloi, Meshack; Kanjee, Anil
    Pythagoras; Vol 39, No 1 (2018); 14 pages
    2018-07-25
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  • The effects of examination-driven teaching on mathematics achievement in Grade 10...
    Okitowamba, Onyumbe; Julie, Cyril; Mbekwa, Monde
    Pythagoras; Vol 39, No 1 (2018); 10 pages
    2018-06-28
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  • Teachers’ learning and assessing of mathematical processes with emphasis on...
    Maoto, Satsope; Masha, Kwena; Mokwana, Lekwa
    Pythagoras; Vol 39, No 1 (2018); 10 pages
    2018-03-19
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  • Acknowledgement to reviewers
    Office, Editorial
    Pythagoras; Vol 38, No 1 (2017); 1 page
    2017-12-21
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  • The quantitative literacy of South African school-leavers who qualify for higher education
    Prince, Robert; Frith, Vera
    Pythagoras; Vol 38, No 1 (2017); 14 pages
    2017-10-31
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  • Differences in the quality of school-based assessment: Evidence in Grade 9 mathematics...
    van Staden, Surette; Motsamai, Puleng
    Pythagoras; Vol 38, No 1 (2017); 10 pages
    2017-10-31
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  • Mentoring as professional development intervention for mathematics teachers: A South...
    Nel, Benita; Luneta, Kakoma
    Pythagoras; Vol 38, No 1 (2017); 9 pages
    2017-09-22
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  • Educating Grade 6 students for higher-order thinking and its influence on creativity
    Daher, Wajeeh; Tabaja-Kidan, Amal; Gierdien, Faaiz
    Pythagoras; Vol 38, No 1 (2017); 12 pages
    2017-08-28
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  • How does the grade obtained at school for English and Mathematics affect the...
    Murray, Michael
    Pythagoras; Vol 38, No 1 (2017); 7 pages
    2017-08-25
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  • The application of the percentage change calculation in the context of inflation in...
    Bansilal, Sarah
    Pythagoras; Vol 38, No 1 (2017); 11 pages
    2017-07-31
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  • Research for educational change
    Graven, Mellony
    Pythagoras; Vol 38, No 1 (2017); 4 pages
    2017-07-19
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  • The development of a professional development intervention for mathematical...
    Chirinda, Brantina; Barmby, Patrick
    Pythagoras; Vol 38, No 1 (2017); 11 pages
    2017-06-30
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  • Acknowledgement to reviewers
    Office, Editorial
    Pythagoras; Vol 36, No 2 (2015); 2 pages
    2017-06-08
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  • Acknowledgement to reviewers
    Office, Editorial
    Pythagoras; Vol 37, No 1 (2016); 2 pages
    2017-06-01
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  • Pre-service mathematics student teachers’ conceptions of nominal and effective interest...
    Makonye, Judah P.
    Pythagoras; Vol 38, No 1 (2017); 10 pages
    2017-04-26
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  • Mathematical errors made by high performing candidates writing the National Benchmark...
    Bohlmann, Carol A.; Prince, Robert N.; Deacon, Andrew
    Pythagoras; Vol 38, No 1 (2017); 10 pages
    2017-04-25
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  • Proportional reasoning ability of school leavers aspiring to higher education in South...
    Frith, Vera; Lloyd, Pam
    Pythagoras; Vol 37, No 1 (2016); 10 pages
    2016-12-03
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  • A square in drag as concrete universal; or, Hegel as a Sketchpad programmer
    Davis, Zain
    Pythagoras; Vol 37, No 1 (2016); 14 pages
    2016-11-17
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  • Where is the bigger picture in the teaching and learning of mathematics?
    Maoto, Satsope; Masha, Kwena; Maphutha, Kgaladi
    Pythagoras; Vol 37, No 1 (2016); 8 pages
    2016-11-16
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