This study develops a heuristic procedure for specifying parameters for a neural network configuration (learning rate, momentum, and the number of neurons in a single hidden layer) in Shewhart X-bar control chart applications. Also, this study examines the replicability of the neural network solution when the neural network is retrained several times with different initial weights.

Auditory graphs and active point estimation provide an inexpensive, accessible alternative for low vision and blind K-12 students using number lines and coordinate graphs. In the first phase of this research program, a series of four psychophysics studies demonstrated an interactive auditory number line that enables blind, low vision, and sighted people to find small targets with a laptop, headphones, and a mouse or a keyboard. The Fitts' Law studies showed that, given appropriate auditory feedback, blind people can use a mouse. In addition, auditory feedback can generate target response patterns similar to when people use visual feedback. Phase two introduced SQUARE, a novel method for building accessible alternatives to existing education technologies. The standards-driven and teacher-directed approach generated 17 graphing standards for sixth grade mathematics, all of which emphasized point estimation. It also showed that how only few basic behavioral components are necessary for these graphing problems. The third phase evaluated active point estimation tools in terms of training, classroom situations, and a testing situation. This work shows that students can learn to graph in K-12 environments, regardless of their visual impairment. It also provides several technologies used for graphing, and methods to further develop education accessibility research.

Scientific external representations (ERs), such as diagrams, images, pictures, graphs and animations are considered to be powerful teaching and learning tools, because they assist learners in constructing mental models of phenomena, which allows for the comprehension and integration of scientific concepts. Sometimes, however, students experience difficulties with the interpretation of ERs, which· has a negative effect on their learning of science, . . including biochemistry. Unfortunately, many educators are not aware of such student difficulties and make the wrong assumption that what they, as experts, consider to be an educationally sound ER will necessarily promote sound. learning and understanding among novices. On the contrary, research has shown that learners who engage in the molecular biosciences can experience considerable problems interpreting, visualising, reasoning and learning with ERs of biochemical structures and processes, which are both abstract and often represented by confusing computer-generated symbols and man-made markings. The aim of this study was three-fold. Firstly, to identify and classify students' conceptual and reasoning difficulties with a selection of textbook ERs representing· IgG structure and function. Secondly, to use these difficulties to identify sources of the difficulties and, therefore, factors influencing students' ability to interpret the ERs. Thirdly, to develop a model of these factors and investigate the practical applications of the model, including guidelines fOf improving ER design and the teaching and learning with ERs. The study was conducted at the University of KwaZulu-Natal, South Africa and involved a total of 166 second and third-year biochemistry students. The research aims were addressed using a p,ostpositivistic approach consisting of inductive and qualitative research methods. Data was collected from students by means of written probes, audio- and video-taped clinical interviews, and student-generated diagrams. Analysis of the data revealed three general categories of student difficulties, with the interpretation of three textbook ERs depicting antibody structure and interaction with antigen, termed the process-type (P), the. structural-type (S) and DNA-related (D) difficulties. Included in the three general categories of difficulty were seventeen sub-categories that were each classified on the four-level research framework of Grayson et al. (2001) according to v how much information we had about the nature ofeach difficulty and, therefore, whether they required further research. The incidences of the classified difficulties ranged from 3 to 70%, across the student populations and across all three ERs. Based on the evidence of the difficulties, potential sources of the classified difficulties were isolated. Consideration of the nature of the sources of the exposed difficulties indicated that at least three factors play a major role in students' ability to interpret ERs in biochemistry. The three factors are: students' ability to reason with an ER and with their own conceptual knowledge (R), students' understanding (or lack thereof) of the concepts of relevance to the ER (C), and the mode in which the desired phenomenon is represented by the ER (M). A novel three-phase single interview technique (3P-SIT) was designed to explicitly investigate the nature of the above three factors. Application of3P-SIT to a range of abstract to realistic ERs of antibody structure and interaction with antigen revealed that the. instrument was extremely useful for generating data corresponding to the three factors.. In addition; analysis of the 3P-SIT data showed evidence for the influence ofone factor on another during students' ER interpretation, leading to the identification of a further four interactive factors, namely the reasoning-mode (R-M), reasoning conceptual (R-C), conceptual-mode (C-M) and conceptual-reasoning-mode (C-R-M) factors. The Justi and Gilbert (2002) modelling process was employed to develop a model of the seven identified factors. Empirical data generated using 3P-SIT allowed the formulation and validation of operational definitions for the seven factors and the expression of the model as a Venn diagram, Consideration ofthe implications of the model, yielded at least seven practical applications of the model, including its use for: establishing whether sound or unsound interpretation, learning and visualisation of an ER has occurred; identifying the nature and source of any difficulties; determining which of the factors of the model are positively or negatively influencing interpretation; establishing what approaches to ER design and teaching and learning with ERs will optimise the interpretation and learning process; and, generally framing and guiding researchers', educators' and authors' thinking about the nature of students' difficulties with the interpretation of both static and animated ERs in any scientific context. In addition, the study demonstrated how each factor of the expressed model can be used to inform the design of strategies for remediating or preventing students' difficulties with the interpretation of scientific ERs, a target for future research. / Thesis (Ph.D.)-University of KwaZulu-Natal, Pietermaritzburg, 2005.

A carefully constructed set of 16 graphical tasks related to key biochemistry concepts was designed and administered to a group of 82 students in their final year of B.Sc. study. The test mean score of 48,3% ( 12,1) was low and characterised by gender and ethnic differences. There was a moderate linear relationship between biochemistry grades obtained by the students over two years of study and their graphical literacy (r = 0,433). The majority of the students exhibited slope/height confusion and only seven students (8,5%) were able to answer the two items corresponding to Kimura‘s Level F, the most complex and difficult level of graphical literacy. Eye tracking data gave valuable insights into different strategies used by students while interpreting graphs and is a valuable tool for assessing graphical literacy. These findings confirmed other studies where researchers have found a widespread lack of graph comprehension among biological science students. / Institute of Science and Technology Education / M. Sc. (Science Education)

A carefully constructed set of 16 graphical tasks related to key biochemistry concepts was designed and administered to a group of 82 students in their final year of B.Sc. study. The test mean score of 48,3% ( 12,1) was low and characterised by gender and ethnic differences. There was a moderate linear relationship between biochemistry grades obtained by the students over two years of study and their graphical literacy (r = 0,433). The majority of the students exhibited slope/height confusion and only seven students (8,5%) were able to answer the two items corresponding to Kimura‘s Level F, the most complex and difficult level of graphical literacy. Eye tracking data gave valuable insights into different strategies used by students while interpreting graphs and is a valuable tool for assessing graphical literacy. These findings confirmed other studies where researchers have found a widespread lack of graph comprehension among biological science students. / Institute of Science and Technology Education / M. Sc. (Science Education)

O presente trabalho tem por objetivo divulgar e explorar as Provas sem Palavras no âmbito do Ensino Fundamental e Médio para, posteriormente, servir de possível material de consulta por parte de professores, na busca de melhores métodos de explicação sobre importantes assuntos desenvolvidos em sala. Dessa forma, imagina-se que a compreensão dos alunos através da visualização fortalecerá de maneira significativa a aquisição do conhecimento. Para tanto, são sugeridos diversos temas onde a visualização é desenvolvida e explicada, seja através de relato, seja através de demonstrações matemáticas. / The aim of the present work is to disseminate and explore the Proof Without Words in the scope of elementary and high school to be used later as a possible reference material for teachers in the search for better methods of explanation on important subjects developed in the classroom. In this way, it is imagined that students’ comprehension through visualization will significantly strengthen the acquisition of knowledge. In order to do so, several themes are suggested where the visualization is developed and explained, either through storytelling or through mathematical demonstrations.