title: On approximating the shape of one-dimensional posterior marginals using the low discrepancy points

authors: Joshi, Chaitanya

subjects: Science & Technology

abstract: A method to approximate Bayesian posterior by evaluating it on a low discrepancy sequence (LDS) point set has recently been proposed. However, this method does not focus on finding the posterior marginals. Finding posterior marginals when the posterior approximation is obtained using LDS is not straightforward, and as yet, there is no method to approximate one dimensional marginals using an LDS. We propose an approximation method for this problem. This method is based on an s-dimensional integration rule together with fitting a polynomial smoothing function. We state and prove results showing conditions under which this polynomial smoothing function will converge to the true one-dimensional function. We also demonstrate the computational efficiency of the new approach compared to a grid
based approach.

text: On approximating the shape of one-dimensional posterior marginals using the low discrepancy points A method to approximate Bayesian posterior by evaluating it on a low discrepancy sequence (LDS) point set has recently been proposed. However, this method does not focus on finding the posterior marginals. Finding posterior marginals when the posterior approximation is obtained using LDS is not straightforward, and as yet, there is no method to approximate one dimensional marginals using an LDS. We propose an approximation method for this problem. This method is based on an s-dimensional integration rule together with fitting a polynomial smoothing function. We state and prove results showing conditions under which this polynomial smoothing function will converge to the true one-dimensional function. We also demonstrate the computational efficiency of the new approach compared to a grid
based approach.

year: 2021-11-29

title: The development of reflective practice through student journals

authors: Pavlovich, Kathryn

subjects: education

abstract: This paper explores the design and assessment of reflective journals in a course on spirituality and management in a tertiary institution. The purpose of reflection in education is to develop students' self-awareness and inner leadership. Yet, such assessment poses challenges in terms of design, content and grading. This paper explores the literature surrounding these issues, and then describes the introduction of such an approach through a case study. Two types of assessment were developed to assist students to explore self-awareness. The first was through reflective journal entries completed throughout the course, and the second was a report due at the end of the course, describing the journey of the student's most significant learning. The paper concludes by assessing the effectiveness of such an approach through qualitative measures. The use of student narratives from their journals, with their consent, illustrates the power of the reflective method.

text: The development of reflective practice through student journals This paper explores the design and assessment of reflective journals in a course on spirituality and management in a tertiary institution. The purpose of reflection in education is to develop students' self-awareness and inner leadership. Yet, such assessment poses challenges in terms of design, content and grading. This paper explores the literature surrounding these issues, and then describes the introduction of such an approach through a case study. Two types of assessment were developed to assist students to explore self-awareness. The first was through reflective journal entries completed throughout the course, and the second was a report due at the end of the course, describing the journey of the student's most significant learning. The paper concludes by assessing the effectiveness of such an approach through qualitative measures. The use of student narratives from their journals, with their consent, illustrates the power of the reflective method.

year: 2007

title: Overcoming ‘Being’ in Favour of Knowledge: The fixing effect of ‘mātauranga’

authors: Mika, Carl Te Hira

subjects: knowledge

abstract: It is common to hear Māori discuss primordial states of Being, yet in colonisation those very central beliefs are forced into weaker utterances. In this process those utterances merely conform to a colonised agenda. ‘Mātauranga’, a tidy term that overwhelmingly refers to an epistemological knowing of the world, colludes nicely with its English equivalent, ‘knowledge’, to further colonise those core contemplations of Being. Its plausibility relies on an orderly regard of things in the world. In education, historical and current practices of schooling pave the way for things in the world so that they amount to mātauranga for Māori, and even the term ‘ako’ will conspire in its own way. Both Novalis and Heidegger have the ability to identify subtly colonising philosophies, and may even propose some theoretical solutions for Māori.

text: Overcoming ‘Being’ in Favour of Knowledge: The fixing effect of ‘mātauranga’ It is common to hear Māori discuss primordial states of Being, yet in colonisation those very central beliefs are forced into weaker utterances. In this process those utterances merely conform to a colonised agenda. ‘Mātauranga’, a tidy term that overwhelmingly refers to an epistemological knowing of the world, colludes nicely with its English equivalent, ‘knowledge’, to further colonise those core contemplations of Being. Its plausibility relies on an orderly regard of things in the world. In education, historical and current practices of schooling pave the way for things in the world so that they amount to mātauranga for Māori, and even the term ‘ako’ will conspire in its own way. Both Novalis and Heidegger have the ability to identify subtly colonising philosophies, and may even propose some theoretical solutions for Māori.

year: 2012