abstract: This dissertation reports three studies about what it means for teachers and students to reason with frames of reference: to conceptualize a reference frame, to coordinate multiple frames of reference, and to combine multiple frames of reference. Each paper expands on the previous one to illustrate and utilize the construct of frame of reference. The first paper is a theory paper that introduces the mental actions involved in reasoning with frames of reference. The concept of frames of reference, though commonly used in mathematics and physics, is not described cognitively in any literature. The paper offers a theoretical model of mental actions involved in conceptualizing a frame of reference. Additionally, it posits mental actions that are necessary for a student to reason with multiple frames of reference. It also extends the theory of quantitative reasoning with the construct of a ‘framed quantity’. The second paper investigates how two introductory calculus students who participated in teaching experiments reasoned about changes (variations). The data was analyzed to see to what extent each student conceptualized the variations within a conceptualized frame of reference as described in the first paper. The study found that the extent to which each student conceptualized, coordinated, and combined reference frames significantly affected his ability to reason productively about variations and to make sense of his own answers. The paper ends by analyzing 123 calculus students’ written responses to one of the tasks to build hypotheses about how calculus students reason about variations within frames of reference. The third paper reports how U.S. and Korean secondary mathematics teachers reason with frame of reference on open-response items. An assessment with five frame of reference tasks was given to 539 teachers in the US and Korea, and the responses were coded with rubrics intended to categorize responses by the extent to which they demonstrated conceptualized and coordinated frames of reference. The results show that the theory in the first study is useful in analyzing teachers’ reasoning with frames of reference, and that the items and rubrics function as useful tools in investigating teachers’ meanings for quantities within a frame of reference. / Dissertation/Thesis / Doctoral Dissertation Mathematics 2019

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The complete design process for a new nuclear power plant concept is costly, long, complicated, and the work is generally split between several specialized groups. These design groups separately do their best to design the portion of the reactor that falls in their expertise according to the design criteria before passing the design to the subsequent design group. Ultimately, the work of each design group is combined, with significant iteration between groups striving to facilitate the integration of each of the heavily interdependent systems. Such complex interaction between experts leads to three significant problems: (1) the issues associated with knowledge management, (2) the lack of design optimization, and (3) the failure to discover the hidden interdependencies between different design parameters that may exist. Some prior work has been accomplished in both developing common frame of reference (CFR) support systems to aid in the design process and applying optimization to nuclear system design.The purpose of this work is to use multi-objective optimization to address the second and third problems above on a small subset of reactor design scenarios. Multi-objective optimization generates several design optima in the form of a Pareto front, which portrays the optimal trade-off between design objectives. As a major part of this work, a system design optimization tool is created, namely the Optimization and Preference Tool for the Improvement of Nuclear Systems (OPTIONS). The OPTIONS tool is initially applied to several individual nuclear systems: the power conversion system (PCS) of the Integral, Inherently Safe Light Water Reactor (I²S-LWR), the Kalina cycle being proposed as the PCS for a LWR, the PERCS (or Passive Endothermic Reaction Cooling System), and the core loop of the Zion plant. Initial sensitivity analysis work and the application of the Non-dominated Sorting Particle Swarm Optimization (NSPSO) method provides a Pareto front of design optima for the PCS of the I²S-LWR, while bringing to light some hidden pressure interdependencies for generating steam using a flash drum. A desire to try many new PCS configurations leads to the development of an original multi-objective optimization method, namely the Mixed-Integer Non-dominated Sorting Genetic Algorithm (MI-NSGA). With this method, the OPTIONS tool provides a novel and improved Pareto front with additional optimal PCS configurations. Then, the simpler NSGA method is used to optimize the Kalina cycle, the PERCS, and the Zion core loop, providing each problem with improved designs and important objective trade-off information. Finally, the OPTIONS tool uses the MI-NSGA method to optimize the integration of three systems (Zion core loop, PERCS, and Rankine cycle PCS) while increasing efficiency, decreasing costs, and improving performance. In addition, the tool is outfitted to receive user preference input to improve the convergence of the optimization to a Pareto front.

Upper secondary school students today face challenges in interpreting and under-standing the complex world around them. The subject of Religious education and particularly textbooks can be used to give students the tools and knowledge they need. An important development to attain knowledge about is secularization and its impact on the religious landscape in Sweden. Secularization is a complex phe-nomenon and theorizations of secularization today faces challenges to describe the width of developments and changes of religion. I therefore aim to examine text-books in RE to get a deeper knowledge about how textbooks depict secularization and the process of secularization. I also aim to contribute to the didactic knowledge and tools related to the teaching of secularization to students. The method used is a qualitative data analysis of four textbooks used in RE. The theo-retical perspective used is sociologist Inger Furseths ”Religious complexity frame of reference” and the tools that the framework provided. The study showed that textbooks depict linear perspectives of the process of secularization. The text-books do not describe the reciprocal development by religion in relation to secu-larization to any greater extent. The textbooks depict secularization by referring to and describing secularization on different analytical levels.

Immersive analytics is an emerging field of data exploration and analysis in immersive environments. It is an active research area that explores human-centric approaches to data exploration and analysis based on the spatial arrangement and visualization of data elements in immersive 3D environments. The availability of immersive extended reality systems has increased tremendously recently, but it is still not as widely used as conventional 2D displays. In this dissertation, we described an immersive analysis system for spatiotemporal data and performed several user studies to measure the user performance in the developed system, and laid out design guidelines for an immersive analytics environment. In our first study, we compared the performance of users based on specific visual analytics tasks in an immersive environment and on a conventional 2D display. The approach was realized based on the coordinated multiple-views paradigm. We also designed an embodied interaction for the exploration of spatial time series data. The findings from the first user study showed that the developed system is more efficient in a real immersive environment than using it on a conventional 2D display. One of the important challenges we realized while designing an immersive analytics environment was to find the optimal placement and identification of various visual elements. In our second study, we explored the iterative design of the placement of visual elements and interaction with them based on frames of reference. Our iterative designs explored the impact of the visualization scale for three frames of reference and used the collected user feedback to compare the advantages and limitations of these three frames of reference. In our third study, we described an experiment that quantitatively and qualitatively investigated the use of sonification, i.e., conveying information through nonspeech audio, in an immersive environment that utilized empirical datasets obtained from a multi-dimensional geophysical system. We discovered that using event-based sonification in addition to the visual channel was extremely effective in identifying patterns and relationships in large, complex datasets. Our findings also imply that the inclusion of audio in an immersive analytics system may increase users’ level of confidence when performing analytics tasks like pattern recognition. We outlined the sound design principles for an immersive analytics environment using real-world geospace science datasets and assessed the benefits and drawbacks of using sonification in an immersive analytics setting. / Doctor of Philosophy / When it comes to exploring data, visualization is the norm. We make line charts, scatter plots, bar graphs, or heat maps to look for patterns in data using traditional desktop-based approaches. However, biologically humans are optimized to observe the world in three dimensions. This research is motivated by the idea that representing data in immersive 3D environments can provide a new perspective that may lead to the discovery of previously undetected data patterns. Experiencing the data in three dimensions, engaging multiple senses like sound and sight, and leveraging human embodiment, interaction capabilities, and sense of presence may lead to a unique understanding of the data that is not feasible using traditional visual analytics. In this research, we first compared the data analysis process in a mixed reality system, where real and virtual worlds co-exist, versus doing the same analytical tasks in a desktop-based environment. In our second study, we studied where different charts and data visualizations should be placed based on the scale of the environment, such as table-top versus room-sized. We studied the strengths and limitations of different scales based on the visual and interaction design of the developed system. In our third study, we used a real-world space science dataset to test the liabilities and advantages of using the immersive approach. We also used audio and explored what kinds of audio work for which analytical tasks and laid out design guidelines based on audio. Through this research, we studied how to do data analytics in emerging mixed reality environments and presented results and design guidelines for future developers, designers, and researchers in this field.

The social work profession requires the accumulation of theory, knowledge, skills and their integration into practice. The department of social work at UNISA trains students according to the person-centred approach (PCA). The question thus arises whether the social workers trained in PCA at UNISA are able to integrate theory into practice in their different areas of employment. Exploring this would give the department of social work an opportunity to re-visit the teaching of PCA and make some improvements if necessary. The qualitative study was conducted with social workers employed in different welfare organizations in Pretoria. The following themes emerged from the analysis: the perceived significance of building relationship with clients, the organizational influence in counselling, unique experiences with regard to colleagues who graduated from other institutions, challenges in handling a conflict or crisis situation, and lastly the nature of statutory cases. The conclusions were drawn and recommendations were presented. / Social Science / M.A. (Mental Health)

Grounded in Festinger s (1954) theory of social comparison processes, this thesis aims to examine three aspects of this theory in the physical education context, where ability is the characteristic under comparison: adolescent motives for comparison; frames of reference; and consequences of comparison. Although there is a growing evidence base investigating social comparison processes in academic subjects, there remains a dearth of knowledge concerning the role that comparison can play in determining outcomes in physical education. Furthermore, there is very little research within psychology in general that examines young peoples motives for and outcomes of comparison. This thesis begins to address this lack of knowledge by providing an in-depth exploration of social comparison processes (Study 1) which is followed by an examination of the role that two frames of reference (the class and a chosen individual) and motives for comparison (evaluation, improvement, enhancement) play in determining: physical self-concept; engagement; disaffection; self-efficacy, positive affect and negative affect (Studies 2-4). Additionally, the moderating role of behavioural regulations, motivational climate and perceived autonomy support are also investigated. Across the four studies, comparative evaluations with the class are influential in determining both positive and negative outcomes whilst the role of individual comparisons varies according to the dependent variable under investigation. Evidence for both the moderating and direct role of motives for comparison is presented as well as support for the moderating role of motivational climate and behavioural regulations. The findings highlight the need to investigate multiple aspects of social comparison processes simultaneously in addition to investigating moderators of comparative evaluations in order that a more comprehensive understanding of social comparison processes is achieved.

The purpose of this research was to examine frame-of-reference (FOR) training retention in an assessment center (AC) rater training context. In this study, we extended Gorman and Rentsch’s (2009) research showing FOR training effects on performance schemas by examining the effects immediately after training and again after a two-week nonuse period. We examined the retention effects of FOR training on performance ratings and on performance schema accuracy. The results indicated that the FOR training condition, compared to a control condition, yielded performance ratings and performance schemas more similar to expert ratings and to an expert schema, respectively. FOR training also had positive effects on ratings and performance schema accuracy assessed two weeks after training. These results support and extend the theory of FOR training, which posits that the instructed theory of performance replaces the preexisting rater schemas (Lievens, 2001), and they contribute to the research on FOR training within AC contexts.

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Depuis les années 20 du siècle précédent, les recherches effectuées dans le champ de la didactique des langues non maternelles ont enregistré l’apparition d’un public spécifique demandeur de formations en langue à des fins spécifiques. Cela a donné lieu à un domaine qui se distingue par la grande diversité de ses contextes ainsi que de ses publics, un domaine qui porte sur un jeu de désignations ou sur une jungle d’appellations qui se confondent pratiquement toutes. C’est dans le but de faire acquérir à ces publics des compétences langagières spécifiques utiles dans la pratique de leur travail qu’enseignants et chercheurs sont appelés à créer des démarches méthodologiques spécifiques.Cette thèse cherche, plus particulièrement, à apporter des éléments de réponse aux demandes des étudiants de la faculté des sciences de la santé, en Syrie, qui ont besoin d’apprendre le français médical et non le français général pour s’en servir plus tard dans leur profession. L’objectif principal de ce travail est, d’une part, d’identifier les besoins réels de ces apprenants en prenant en compte les spécificités de leur domaine et d’autre part, de concevoir un référentiel de formation FOS susceptible de contribuer au développement d’une compétence de communication spécifique appropriée aux exigences de leur terrain socioprofessionnel. / Research performed since the twenties in the field of didactics of foreign languages, helped the rise of a certain audience with specific requests in professional language. That gave rise to a domain, which is composed of an important diversity of contexts and publics called "French for Specific Purposes". Teachers and researchers are brought to create specific methodological approach, to help this audience gain specific linguistic skills.This thesis aims at bringing elements of answer to the students of the syrian scientific colleges, particularly to those of the Faculty of Health Sciences. Our purpose is to identify the real needs of the latter, taking into account peculiarities of their domain and to conceive teacher-training frame of reference allowing them to develop oral and written comprehension and expression skills.