The 13th Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics

Ngā mihi aroha ki ngā tangata katoa and warm greetings to you all. Welcome to Herenga Delta 2021, the Thirteenth Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics. It has been ten years since the Volcanic Delta Conference in Rotorua, and we are excited to have the Delta community return to Aotearoa New Zealand, if not in person, then by virtual means. Although the limits imposed by the pandemic mean that most of this year’s 2021 participants are unable to set foot in Tāmaki Makaurau Auckland, this has certainly not stopped interest in this event. Participants have been invited to draw on the concept of herenga, in Te Reo Māori usually a mooring place where people from afar come to share their knowledge and experiences. Although many of the participants are still some distance away, the submissions that have been sent in will continue to stimulate discussion on mathematics and statistics undergraduate education in the Delta tradition. The conference invited papers, abstracts and posters, working within the initial themes of Values and Variables. The range of submissions is diverse, and will provide participants with many opportunities to engage, discuss, and network with colleagues across the Delta community. The publications for this thirteenth Delta Conference include publications in the International Journal of Mathematical Education in Science and Technology, iJMEST, (available at https://www.tandfonline.com/journals/tmes20/collections/Herenga-Delta-2021), the Conference Proceedings, and the Programme (which has created some interesting challenges around time-zones), by the Local Organizing Committee. Papers in the iJMEST issue and the Proceedings were peer reviewed by at least two reviewers per paper. Of the ten submissions to the Proceedings, three were accepted. We are pleased to now be at the business end of the conference and hope that this event will carry on the special atmosphere of the many Deltas which have preceded this one. We hope that you will enjoy this conference, the virtual and social experiences that accompany it, and take the opportunity to contribute to further enhancing mathematics and statistics undergraduate education. Ngā manaakitanga, Phil Kane (The University of Auckland | Waipapa Taumata Rau) on behalf of the Local Organising Committ

A model for the development and transformation of teachers' mathematical content knowledge

In this paper we offer a theoretical discussion on the mathematical content knowledge development of secondary school mathematics teachers. We discuss relevant studies from literature and use different views and conceptions of school mathematics to propose a model to develop or transform the mathematical content knowledge of secondary school mathematics teachers in such a way that they are able to reconsider their beliefs about the nature of school mathematics. In the model we view mathematics teaching as a kind of problem solving where mathematical content knowledge has to be unpacked and communicated after teachers have reflected on the components of the model, namely different kinds of mathematical knowledge (procedural and conceptual), cognitive processes (problem solving, reasoning, communication, connections and representations) involved in doing mathematics, and working in different problem contexts.http://reference.sabinet.co.za.nwulib.nwu.ac.za/webx/access/electronic_journals/saarmste/saarmste_v16_n1_a7.pd

A comparison of the mathematical knowledge and skills of first-year student cohorts from a transmission and an outcomes-based curriculum

The traditional transmission-based school curriculum in South Africa has been replaced by an outcomes-based school curriculum since 1998. In this article we report on a comparative study on the mathematical knowledge and skills of two cohorts of first-year students: the last cohort to be exposed to a transmission curriculum in Grades 10–12 and the first cohort to complete their entire school career according to an outcomes-based curriculum. The performances of the two cohorts were analysed in terms of procedural, proceptual and conceptual knowledge constructs, as well as topic areas of school mathematics. A t-test statistical analysis of the results of a mathematics diagnostic test was used in the analysis. A statistically significant difference with a small effect size was etablished for procedural knowledge, indicating that the outcomes-based education cohort has poorer algebraic skills. Statistically significant differences with a small to medium effect were obtained in the question-by-question comparison of topic areas, indicating a possible improvement in the conceptual knowledge of students of the outcomes-based education cohor

Analysis of Outcomes in Ischemic vs Nonischemic Cardiomyopathy in Patients With Atrial Fibrillation A Report From the GARFIELD-AF Registry

IMPORTANCE Congestive heart failure (CHF) is commonly associated with nonvalvular atrial fibrillation (AF), and their combination may affect treatment strategies and outcomes