Pythagoras
Journal f ocus: 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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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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Learners’ errors in secondary algebra: Insights from tracking a cohort from Grade 9 to...
Pournara, Craig; Hodgen, Jeremy; Sanders, Yvonne; Adler, Jill
Pythagoras; Vol 37, No 1 (2016); 10 pages
2016-10-31
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Engaging with learners’ errors when teaching mathematics
Sapire, Ingrid; Shalem, Yael; Wilson-Thompson, Bronwen; Paulsen, Ronél
Pythagoras; Vol 37, No 1 (2016); 11 pages
2016-10-31
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Investigating the treatment of missing data in an Olympiad-type test – the case of the...
Long, Caroline; Engelbrecht, Johann; Scherman, Vanessa; Dunne, Tim
Pythagoras; Vol 37, No 1 (2016); 14 pages
2016-10-31
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The concepts of area and perimeter: Insights and misconceptions of Grade 10 learners
Machaba, France M.
Pythagoras; Vol 37, No 1 (2016); 11 pages
2016-05-31
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Developing a model for problem-solving in a Grade 4 mathematics classroom
Nieuwoudt, Susan
Pythagoras; Vol 36, No 2 (2015); 7 pages
2015-12-18
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An exploration of learners’ theorems-in-action used in problems on ratio and proportion
Mahlabela, Patisizwe T.; Bansilal, Sarah
Pythagoras; Vol 36, No 2 (2015); 10 pages
2015-12-18
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Student mathematical activity as a springboard to developing teacher didactisation...
Biccard, Piera; Wessels, Dirk
Pythagoras; Vol 36, No 2 (2015); 9 pages
2015-12-07
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The development, validation and standardisation of a questionnaire for ICT professional...
Leendertz, Verona; Blignaut, A. Seugnet; Ellis, Suria; Nieuwoudt, Hercules D.
Pythagoras; Vol 36, No 2 (2015); 11 pages
2015-11-27
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A teacher’s engagement with learner errors in her Grade 9 mathematics classroom
Gardee, Aarifah; Brodie, Karin
Pythagoras; Vol 36, No 2 (2015); 9 pages
2015-11-27
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Exploring boot camps for ‘gatekeeper’ service courses in mathematics
Campbell, Anita
Pythagoras; Vol 36, No 2 (2015); 9 pages
2015-11-24
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Towards an understanding of students’ thinking in learning new and unfamiliar concepts:...
Maoto, Satsope; Masha, Kwena
Pythagoras; Vol 36, No 2 (2015); 10 pages
2015-11-20
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Acknowledgement to reviewers
Office, Editorial
Pythagoras; Vol 35, No 2 (2014); 2 pages
2015-07-31
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Understanding students’ misconceptions: An analysis of final Grade 12 examination...
Luneta, Kakoma
Pythagoras; Vol 36, No 1 (2015); 11 pages
2015-06-30
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Investigating learners’ meta-representational competencies when constructing bar graphs
Mhlolo, Michael
Pythagoras; Vol 36, No 1 (2015); 10 pages
2015-06-30
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Problematising current forms of legitimised participation in the examination papers for...
North, Marc; Christiansen, Iben M.
Pythagoras; Vol 36, No 1 (2015); 11 pages
2015-06-29
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Teacher narratives in making sense of the statistical mean algorithm
Lampen, Erna
Pythagoras; Vol 36, No 1 (2015); 12 pages
2015-06-24
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The relational nature of rational numbers
Brown, Bruce
Pythagoras; Vol 36, No 1 (2015); 8 pages
2015-06-19
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Mathematical Literacy teachers’ engagement with contextualised income tax calculations
Bansilal, Sarah; Mkhwanazi, Thokozani W.
Pythagoras; Vol 35, No 2 (2014); 10 pages
2014-12-12
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Exploring the use of a dynamic online software programme in the teaching and learning...
Naidoo, Jayaluxmi; Govender, Reginald
Pythagoras; Vol 35, No 2 (2014); 13 pages
2014-12-12
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Teacher knowledge of error analysis in differential calculus
Moru, Eunice K.; Qhobela, Makomosela; Wetsi, Poka; Nchejane, John
Pythagoras; Vol 35, No 2 (2014); 10 pages
2014-12-12
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Mathematics, curriculum and assessment: The role of taxonomies in the quest for coherence
Long, Caroline; Dunne, Tim; de Kock, Hendrik
Pythagoras; Vol 35, No 2 (2014); 14 pages
2014-12-12
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The effectiveness of a teacher professional learning programme: The perceptions and...
Ndlovu, Mdutshekelwa
Pythagoras; Vol 35, No 2 (2014); 10 pages
2014-12-12
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Mathematics-for-teaching: Insights from the case of annuities
Pournara, Craig
Pythagoras; Vol 35, No 1 (2014); 12 pages
2014-11-14
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Teachers’ explanations of learners’ errors in standardised mathematics assessments
Shalem, Yael; Sapire, Ingrid; Sorto, M. Alejandra
Pythagoras; Vol 35, No 1 (2014); 11 pages
2014-11-04
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An investigation of Mathematical Literacy assessment supported by an application of...
Long, Caroline; Bansilal, Sarah; Debba, Rajan
Pythagoras; Vol 35, No 1 (2014); 17 pages
2014-08-26
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Number sense of final year pre-service primary school teachers
Courtney-Clarke, Magret; Wessels, Helena
Pythagoras; Vol 35, No 1 (2014); 9 pages
2014-06-30
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Item difficulty analysis of a high-stakes mathematics examination using Rasch analysis:...
Jacobs, Mark; Mhakure, Duncan; Fray, Richard L.; Holtman, Lorna; Julie, Cyril
Pythagoras; Vol 35, No 1 (2014); 7 pages
2014-05-21
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Acknowledgement to reviewers
Office, Editorial
Pythagoras; Vol 34, No 2 (2013); 2 pages
2014-01-16
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Technological pedagogical content knowledge in South African mathematics classrooms: A...
Leendertz, Verona; Blignaut, A. Seugnet; Nieuwoudt, Hercules D.; Els, Christo J.; Ellis, Suria M.
Pythagoras; Vol 34, No 2 (2013); 9 pages
2013-12-11
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The merits of teaching mathematics with variation
Mhlolo, Michael
Pythagoras; Vol 34, No 2 (2013); 8 pages
2013-11-29
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Teachers’ knowledge for teaching compound interest
Pournara, Craig
Pythagoras; Vol 34, No 2 (2013); 10 pages
2013-11-29
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The effect of a group approach on the performance of high school mathematics learners
Dhlamini, Joseph; Mogari, David
Pythagoras; Vol 34, No 2 (2013); 9 pages
2013-10-22
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Proportional reasoning as a threshold to numeracy at university: A framework for analysis
Lloyd, Pam; Frith, Vera
Pythagoras; Vol 34, No 2 (2013); 9 pages
2013-10-10
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Assessing medical students’ competence in calculating drug doses
Harries, Catherine; Botha, Julia
Pythagoras; Vol 34, No 2 (2013); 9 pages
2013-09-10
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The ability of second graders to identify solids in different positions and to justify...
Sarfaty, Yael; Patkin, Dorit
Pythagoras; Vol 34, No 1 (2013); 10 pages
2013-06-28
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The dialectical relationship between theory and practice in the design of an...
Stott, Debbie; Graven, Mellony
Pythagoras; Vol 34, No 1 (2013); 10 pages
2013-06-14
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‘They say we are crèche teachers’: Experiences of pre-service mathematics teachers...
van Laren, Linda; Goba, Busisiwe
Pythagoras; Vol 34, No 1 (2013); 8 pages
2013-06-12
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Mapping onto the mathematics curriculum – an opportunity for teachers to learn
Shalem, Yael; Sapire, Ingrid; Huntley, Belinda
Pythagoras; Vol 34, No 1 (2013); 10 pages
2013-05-22
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Teachers’ reasoning in a repeated sampling context
Wessels, Helena; Nieuwoudt, Hercules
Pythagoras; Vol 34, No 1 (2013); 11 pages
2013-05-02
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Examining mathematical discourse to understand in-service teachers’ mathematical...
Berger, Margot
Pythagoras; Vol 34, No 1 (2013); 10 pages
2013-04-19
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Acknowledgement to reviewers
Office, Editorial
Pythagoras; Vol 33, No 3 (2012); 2 pages
2012-12-21
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Mathematics education, democracy and development: A view of the landscape
Vithal, Renuka; Skovsmose, Ole
Pythagoras; Vol 33, No 2 (2012); 3 pages
2012-12-18
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Mathematics education, democracy and development: Exploring connections
Vithal, Renuka
Pythagoras; Vol 33, No 2 (2012); 14 pages
2012-12-18
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Granting learners an authentic voice in the mathematics classroom for the benefit of...
Khuzwayo, Herbert B.; Bansilal, Sarah
Pythagoras; Vol 33, No 2 (2012); 7 pages
2012-12-14
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Coherence and connections in teachers’ mathematical discourses in instruction
Venkat, Hamsa; Adler, Jill
Pythagoras; Vol 33, No 3 (2012); 8 pages
2012-12-11
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Towards empowering learners in a democratic mathematics classroom: To what extent are...
Mhlolo, Michael K.; Schäfer, Marc
Pythagoras; Vol 33, No 2 (2012); 9 pages
2012-12-11
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Student teachers’ perceptions of democracy in the mathematics classroom: Freedom,...
Daher, Wajeeh
Pythagoras; Vol 33, No 2 (2012); 11 pages
2012-12-10
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Alignment between South African mathematics assessment standards and the TIMSS...
Ndlovu, Mdutshekelwa; Mji, Andile
Pythagoras; Vol 33, No 3 (2012); 9 pages
2012-12-10
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Thinking styles of Mathematics and Mathematical Literacy learners: Implications for...
Spangenberg, Erica D.
Pythagoras; Vol 33, No 3 (2012); 12 pages
2012-12-06
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Excavating memories: A retrospective analysis of mathematics teachers’ foregrounds
Amin, Nyna
Pythagoras; Vol 33, No 2 (2012); 9 pages
2012-12-05
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Exploring teachers’ conceptions of representations in mathematics through the lens of...
Brijlall, Deonarain; Bansilal, Sarah; Moore-Russo, Deborah
Pythagoras; Vol 33, No 2 (2012); 8 pages
2012-12-04
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Refusal as a democratic catalyst for mathematics education development
Swanson, Dalene; Appelbaum, Peter
Pythagoras; Vol 33, No 2 (2012); 6 pages
2012-12-04
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On the links between mathematics education and democracy: A literature review
Aguilar, Mario Sánchez; Zavaleta, Juan Gabriel Molina
Pythagoras; Vol 33, No 2 (2012); 15 pages
2012-12-03
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An illustration of the explanatory and discovery functions of proof
de Villiers, Michael
Pythagoras; Vol 33, No 3 (2012); 8 pages
2012-11-30
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Meeting the requirements of both classroom-based and systemic assessment of...
Dunne, Tim; Long, Caroline; Craig, Tracy; Venter, Elsie
Pythagoras; Vol 33, No 3 (2012); 16 pages
2012-11-21
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Mathematics teachers’ reflective practice within the context of adapted lesson study
Posthuma, Barbara
Pythagoras; Vol 33, No 3 (2012); 9 pages
2012-11-19
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Mathematics education and the dignity of being
Valero, Paola; García, Gloria; Camelo, Francisco; Mancera, Gabriel; Romero, Julio
Pythagoras; Vol 33, No 2 (2012); 9 pages
2012-11-15
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Pictorial pattern generalisation: Tension between local and global visualisation
Samson, Duncan
Pythagoras; Vol 33, No 3 (2012); 9 pages
2012-10-26
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Teacher reflection: The use of visual tools in mathematics classrooms
Naidoo, Jayaluxmi
Pythagoras; Vol 33, No 1 (2012); 9 pages
2012-08-21
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Using conversions and treatments to understand students’ engagement with problems based...
Bansilal, Sarah
Pythagoras; Vol 33, No 1 (2012); 13 pages
2012-08-17
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Exploring mathematical discussion in word problem-solving
Sepeng, Percy; Webb, Paul
Pythagoras; Vol 33, No 1 (2012); 8 pages
2012-08-15
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Students’ foregrounds: Hope, despair, uncertainty
Skovsmose, Ole
Pythagoras; Vol 33, No 2 (2012); 8 pages
2012-08-14
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Pre-service teachers’ views about their mathematics teacher education modules
Gierdien, Faaiz
Pythagoras; Vol 33, No 1 (2012); 10 pages
2012-08-07
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The nature and quality of the mathematical connections teachers make
Mhlolo, Michael K.; Venkat, Hamsa; Schäfer, Marc
Pythagoras; Vol 33, No 1 (2012); 9 pages
2012-05-16
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Acknowledgement to reviewers
Office, Editorial
Pythagoras; Vol 32, No 2 (2011); 1 page
2011-12-14
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Counting on Frank: Using bibliotherapy in mathematics teaching to prevent de-geniusing
Furner, Joseph M.; Kenney, Cheryl
Pythagoras; Vol 32, No 2 (2011); 7 pages
2011-12-02
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Albanian students’ motives for preferring certain real-life situations for learning...
Kacerja, Suela
Pythagoras; Vol 32, No 2 (2011); 9 pages
2011-11-30
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A model to identify mathematics topics in MXit lingo to provide tutors quick access to...
Butgereit, Laurie; Botha, Reinhardt A.
Pythagoras; Vol 32, No 2 (2011); 11 pages
2011-11-25
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An instrumental approach to modelling the derivative in Sketchpad
Ndlovu, Mdutshekelwa; Wessels, Dirk; de Villiers, Michael
Pythagoras; Vol 32, No 2 (2011); 15 pages
2011-11-23
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Opportunities and challenges for statistics education in South Africa
Zewotir, Temesgen; North, Delia
Pythagoras; Vol 32, No 2 (2011); 5 pages
2011-11-23
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The interplay of language and mathematics
Patkin, Dorit
Pythagoras; Vol 32, No 2 (2011); 7 pages
2011-11-16
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Pythagoras goes Open Access at www.pythagoras.org.za
Olivier, Alwyn
Pythagoras; Vol 32, No 1 (2011); 2 pages
2011-09-28
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Acknowledgement to reviewers
Office, Editorial
Pythagoras; Vol 32, No 1 (2011); 1 page
2011-09-28
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South African teachers’ conceptualisations of gradient: A study of historically...
Mudaly, Vimolan; Moore-Russo, Deborah
Pythagoras; Vol 32, No 1 (2011); 8 pages
2011-09-15
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Rasch modelling of Mathematics and Science teachers’ preferences of real-life...
Julie, Cyril; Holtman, Lorna; Mbekwa, Monde
Pythagoras; Vol 32, No 1 (2011); 8 pages
2011-09-14
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Development of affective modelling competencies in primary school learners
Biccard, Piera; Wessels, Dirk
Pythagoras; Vol 32, No 1 (2011); 9 pages
2011-09-14
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A blended learning Grade 12 intervention using DVD technology to enhance the teaching...
Padayachee, Pragashni; Boshoff, Hennie; Olivier, Werner; Harding, Ansie
Pythagoras; Vol 32, No 1 (2011); 8 pages
2011-09-13
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Towards a comprehensive knowledge package for teaching proof: A focus on the...
Stylianides, Andreas J.
Pythagoras; Vol 32, No 1 (2011); 10 pages
2011-08-03
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Teachers’ professional development needs in data handling and probability
Wessels, Helena; Nieuwoudt, Hercules
Pythagoras; Vol 32, No 1 (2011); 9 pages
2011-07-19
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Visual technology for the autonomous learning of mathematics
Linneweber‐Lammerskitten, Helmut; Schäfer, Marc; Samson, Duncan
Pythagoras; Issue 72 (2010); 27-35
2010-09-28
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Acknowledgment to reviewers
Office, Editorial
Pythagoras; Issue 72 (2010); 2
2010-09-28
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Are OBE‐trained learners ready for university mathematics?
Engelbrecht, Johann; Harding, Ansie; Phiri, Patrick
Pythagoras; Issue 72 (2010); 3-13
2010-09-28
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Procepts and proceptual solutions in undergraduate mathematics
Naidoo, Inderasan; Huntley, Belinda
Pythagoras; Issue 72 (2010); 36-49
2010-09-28
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Re‐sourcing mathematics teaching through professional development
Miranda, Helena; Adler, Jill
Pythagoras; Issue 72 (2010); 14-26
2010-09-28
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Learning mathematics for personal understanding and productions: A viewpoint
Mtetwa, David; Mudehwe, Lazarus; Munyira, Sheunesu
Pythagoras; Issue 72 (2010); 50-56
2010-09-28
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Equipartitioning and balancing points of polygons
Pillay, Shunmugam; Pillay, Poobhalan
Pythagoras; Issue 71 (2010); 13-21
2010-07-04
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Beyond teaching language: Towards terminological primacy in learners’ geometric...
Atebe, Humphrey U.; Schäfer, Marc
Pythagoras; Issue 71 (2010); 53-64
2010-07-04
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Integrating mathematics and other learning areas: Emerging tensions from a study...
Mwakapenda, Willy; Dhlamini, Joseph
Pythagoras; Issue 71 (2010); 22-29
2010-07-04
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Thinking with diagrams whilst writing with words
Mudaly, Vimolan
Pythagoras; Issue 71 (2010); 65-75
2010-07-04
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Teaching mathematics in the context of curriculum change
Molefe, Nico; Brodie, Karin
Pythagoras; Issue 71 (2010); 3-12
2010-07-04
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Taxonomy matters: Cognitive levels and types of mathematical activities in mathematics...
Berger, Margot; Bowie, Lynn; Nyaumwe, Lovemore J.
Pythagoras; Issue 71 (2010); 30-40
2010-07-04
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An APOS Analysis of students’ understanding of the concept of a limit of a function
Maharaj, Aneshkumar
Pythagoras; Issue 71 (2010); 41-52
2010-07-04
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Can multiple choice questions be successfully used as an assessment format in...
Huntley, Belinda; Engelbrecht, Johann; Harding, Ansie
Pythagoras; Issue 69 (2009); 3-16
2009-09-01
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The role of visualisation in data handling in Grade 9 within a problem-centred context
Makina, Antonia; Wessels, Dirk
Pythagoras; Issue 69 (2009); 56-68
2009-09-01
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From whole number to real number: Applying Rasch measurement to investigate threshold...
Long, Caroline
Pythagoras; Issue 70 (2009); 32-42
2009-09-01
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The use of real life contexts in the CTA: Some unintended consequences
Bansilal, Sarah
Pythagoras; Issue 69 (2009); 17-27
2009-09-01
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Critiquing the mathematical literacy assessment taxonomy: Where is the reasoning and...
Venkat, Hamsa; Graven, Mellony; Lampen, Erna; Nalube, Patricia
Pythagoras; Issue 70 (2009); 43-56
2009-09-01
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An analysis of the introduction of the equal sign in three Grade 1 textbooks
Essien, Anthony A.
Pythagoras; Issue 69 (2009); 28-35
2009-09-01
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