PYTH_V42(1)_2021_Contents.indd http://www.pythagoras.org.za Open Access Table of Contents Original Research Early career teacher’s approach to fraction equivalence in Grade 4: A dialogic teaching perspective Benjamin Shongwe Pythagoras | Vol 42, No 1 | a623 | 15 November 2021 Original Research Insights into the reversal error from a study with South African and Spanish prospective primary teachers Calos Soneira, Sarah Bansilal, Reginald Govender Pythagoras | Vol 42, No 1 | a613 | 25 November 2021 Original Research Constructing mental diagrams during problem-solving in mathematics Vimolan Mudaly Pythagoras | Vol 42, No 1 | a633 | 29 November 2021 Original Research Novice and expert Grade 9 teachers’ responses to unexpected learner offers in the teaching of algebra Julian Moodliar, Lawan Abdulhamid Pythagoras | Vol 42, No 1 | a624 | 15 December 2021 Original Research Reasoning under uncertainty within the context of probability education: A case study of preservice mathematics teachers Samah G.A. Elbehary Pythagoras | Vol 42, No 1 | a630 | 17 December 2021 57 71 82 90 103 Original Research The contribution of online mathematics games to algebra understanding in Grade 8 Tichaona Marange, Stanley A. Adendorff Pythagoras | Vol 42, No 1 | a586 | 29 July 2021 Original Research Flexible teaching of mathematics word problems through multiple means of representation Matshidiso M. Moleko, Mogege D. Mosimege Pythagoras | Vol 42, No 1 | a575 | 10 August 2021 Original Research Professional development for teachers’ mathematical problem-solving pedagogy – what counts? Brantina Chirinda Pythagoras | Vol 42, No 1 | a532 | 25 August 2021 Original Research Design principles to consider when student teachers are expected to learn mathematical modelling Rina Durandt Pythagoras | Vol 42, No 1 | a618 | 29 September 2021 Original Research Grade 9 learners’ understanding of fraction concepts: Equality of fractions, numerator and denominator Methuseli Moyo, France M. Machaba Pythagoras | Vol 42, No 1 | a602 | 21 October 2021 1 9 19 31 44 Page i of i Table of Contents Vol 42, No 1 (2021) ISSN: 1012-2346 (print) | ISSN: 2223-7895 (online)Pythagoras Original Research Bridging powerful knowledge and lived experience: Challenges in teaching mathematics through COVID-19 Karin Brodie, Deepa Gopal, Julian Moodliar, Takalani Siala Pythagoras | Vol 42, No 1 | a593 | 13 August 2021 Original Research Reflecting on dilemmas in digital resource design as a response to COVID-19 for learners in under-resourced contexts Pamela Vale, Mellony H. Graven Pythagoras | Vol 42, No 1 | a599 | 09 November 2021 118 132 Reviewer Acknowledgement Pythagoras | Vol 42, No 1 | a670 | 21 December 2021 149 Vol 42, No 1 (2021) Focussed collection: Teaching and learning mathematics during the Covid-19