title: Superintegrability in a non-conformally-flat space

authors: Kalnins, Ernie G.

subjects: quantum

abstract: Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensively studied. From these, superintegrable systems in conformally flat spaces can be constructed by Stackel transform. In this paper a method developed to establish the superintegrability of the Tremblay-Turbiner-Winternitz system in two dimensions is extended to higher dimensions and a superintegrable system on a non-conformally-flat four-dimensional space is found. In doing so, curvature corrections to the corresponding classical potential are found to be necessary. It is found that some subalgebras of the symmetry algebra close polynomially.

text: Superintegrability in a non-conformally-flat space Superintegrable systems in two- and three-dimensional spaces of constant curvature have been extensively studied. From these, superintegrable systems in conformally flat spaces can be constructed by Stackel transform. In this paper a method developed to establish the superintegrability of the Tremblay-Turbiner-Winternitz system in two dimensions is extended to higher dimensions and a superintegrable system on a non-conformally-flat four-dimensional space is found. In doing so, curvature corrections to the corresponding classical potential are found to be necessary. It is found that some subalgebras of the symmetry algebra close polynomially.

year: 2013

title: Using oral assessment to protect academic intergrity in a first-year logic course

authors: Gibbons, Stephanie

abstract: Our first-year logic paper is assessed through three tests. When the tests went online, it became possible for students to outsource their answers, including using internet tools that generate answers. To combat this, all students who do their tests online complete a 5-minute oral assessment, conducted by Zoom, where they are asked about their test answers. I argue that this option provides good protection against academic integrity violations, and can work well even for large classes. Using the zoom waiting room and booked appointment slots I was able to deal with 90 students in a couple of afternoons: this is substantially less time than it would take to mark an additional assignment, and it could be scaled up easily. Students require no special access to technology beyond what they already require for online learning, and no software beyond Zoom. Although the students found the prospect of an oral component initially daunting, it was ultimately popular with students. The option can be couched in a way that doesn’t emphasise distrust of the students, and many students found it useful for their learning. One-on-one interviews also create an opportunity to meet each student, thus improving the lecturer-student relationship, and the cohesion of the paper.

text: Using oral assessment to protect academic intergrity in a first-year logic course Our first-year logic paper is assessed through three tests. When the tests went online, it became possible for students to outsource their answers, including using internet tools that generate answers. To combat this, all students who do their tests online complete a 5-minute oral assessment, conducted by Zoom, where they are asked about their test answers. I argue that this option provides good protection against academic integrity violations, and can work well even for large classes. Using the zoom waiting room and booked appointment slots I was able to deal with 90 students in a couple of afternoons: this is substantially less time than it would take to mark an additional assignment, and it could be scaled up easily. Students require no special access to technology beyond what they already require for online learning, and no software beyond Zoom. Although the students found the prospect of an oral component initially daunting, it was ultimately popular with students. The option can be couched in a way that doesn’t emphasise distrust of the students, and many students found it useful for their learning. One-on-one interviews also create an opportunity to meet each student, thus improving the lecturer-student relationship, and the cohesion of the paper.

year: 2022

title: Whāia ngā pae o te māramatanga: our horizons of pursuit

authors: Ruru, Jacinta

abstract: In Aotearoa New Zealand there is a growing recognition that Māori engagement and leadership across the science and research sector is essential for addressing national challenges and realising the distinctive contribution of mātauranga Māori to innovation and knowledge creation (Ministry of Education 2013a). To reap the benefits of the nation’s changing demographics and to centre Te Tiriti o Waitangi in society, it is critical that Māori are engaged in research and decision making in all disciplines and in all sectors. This article considers how Ngā Pae o te Māramatanga (NPM), New Zealand’s Māori Centre of Research Excellence, is contributing towards addressing and developing challenges and opportunities at the interface between mātauranga Māori and science. The article traces the contribution of NPM as a positive transformative contributor to research in Aotearoa New Zealand and internationally

text: Whāia ngā pae o te māramatanga: our horizons of pursuit In Aotearoa New Zealand there is a growing recognition that Māori engagement and leadership across the science and research sector is essential for addressing national challenges and realising the distinctive contribution of mātauranga Māori to innovation and knowledge creation (Ministry of Education 2013a). To reap the benefits of the nation’s changing demographics and to centre Te Tiriti o Waitangi in society, it is critical that Māori are engaged in research and decision making in all disciplines and in all sectors. This article considers how Ngā Pae o te Māramatanga (NPM), New Zealand’s Māori Centre of Research Excellence, is contributing towards addressing and developing challenges and opportunities at the interface between mātauranga Māori and science. The article traces the contribution of NPM as a positive transformative contributor to research in Aotearoa New Zealand and internationally

year: 2019