Aims. Problem-solving approaches to teaching mathematics have been recommended in curriculum documents for some time but there is evidence to suggest that there has been limited classroom implementation both in Australia as well as overseas. This investigation explored the level of implementation of mathematical problem solving in primary classrooms in NSW. Teachers' beliefs about the role of problem solving in learning mathematics as well as their classroom practices were also investigated. To explore what teachers believe and what they do in relation to problem solving, this investigation examined primary school teachers' reported beliefs about the role of problem solving in learning mathematics and their reported practices in classrooms. It aimed to discover how beliefs about mathematical problem solving influenced decision making in teachers' classrooms and what factors promoted and hindered the implementation of problem-solving approaches. The results of this investigation could provide benefits to several different groups involved in mathematics education. Preservice teacher educators and presenters of inservice education courses could benefit from increased knowledge about the role of beliefs in determining practices as well as potential constraints on desirable practices. Associated with this may be the need to challenge teachers' beliefs that might not support the development of practices that promote problem-solving approaches. For practising teachers, professional development could focus on examining their beliefs and providing the necessary support for teachers to realise the aim of assisting their pupils to achieve problem-solving competence. Curriculum developers may benefit from an increased awareness of the difficulties associated with implementing recommended approaches. Finally, participating teachers may benefit from their involvement in the investigation through opportunities to reflect on their practice while completing the survey instrument as well as during interview discussions with the researcher. Scope. Data collection focused on teachers' beliefs about mathematics, teaching mathematics and learning mathematics, as well as on their reported practices since all of these factors impact on what occurs in teachers' classrooms. A combination of methods was used to collect data so that there was increased confidence in the research findings. In this way, the results of one method could be tested against another for consistency, thus enhancing trustworthiness and dependability. The data collection for this investigation was divided into two phases. The first phase involved the use of a questionnaire to seek data on teachers' reported problem solving beliefs and practices as little is known overall in this area, particularly within the context of Australian teachers. Responses were received from 162 primary school teachers currently teaching in NSW. The instrument was designed with reference to similar instruments that had been used by other researchers in the field and incorporated a combination of closed and open questions. The second phase of data collection incorporated interviews and observations that were conducted in the field. These methods were used to explore the problem-solving teaching approaches used by a small number of teachers in particular school settings. To collect data about teachers' planning for instruction, and opportunities that support or constrain innovative practices, it was more appropriate to explore particular contexts that would provide a rich set of data. Conclusions. Analyses of data confirmed the spread of teachers' beliefs, the diversity of their practice, and revealed issues that could hinder their problem-solving efforts in classrooms. A small group of surveyed teachers reported holding very traditional views that were quite distinct from another group who reported support for very contemporary views. These differences were also apparent in relation to reported classroom practices and appeared to be linked to the current teaching grade level of the respondents. This was confirmed during the interviews and observations as it seems easier for teachers of the lower primary grades to implement practices identified as supporting problem-solving approaches. For teachers of upper primary grades, parents' and school expectations impinge on teachers' practices and potentially constrain their problem-solving efforts. For the two teachers who participated in the classroom observations, considerable energy was required to resist constraints and implement problem-solving approaches. Recommendations for practice and future research include the need for an examination of constraints on practice, the role of reflective practice in implementing innovative practices, the viability of teaching through problem solving as a necessary and important teaching approach, and the use of a variety of problem types in preparing students to be successful problem solvers. In addition, teachers may need to be encouraged to continually reflect on practice and teacher educators may need to raise the awareness of preservice and inservice teachers to the issues involved in implementing problem-solving approaches in their classrooms.

Schotte and Clum (1982,1987) proposed a model of suicide ideation in which cognitive rigidity (in the presenc eof negative life stress) causes a reduction in problem solving capacity and subsequently leads to hopelessness, which in turn increases the risk for suicide ideation. The aim of the current study was to attempt to improve the model by the addition of a coping variable. The model was tested using a sample 05 85 undergraduate psychology students. the subjects were requested to complete a total of five questionnaires on a once only basis. A new model was developed in which a low level of problem solving confidence and a failure to express emotions combines with the presence of negative life stress to lead to a state of hopelessness, which in turn increases the risk of suicideideation. Results of the study are discussed in terms of the need for a more complex model of suicide ideation which more fully accounts for the effects of different coping strategies on the development of feelings of hopelessness. / Masters Thesis

Thesis (Ph.D.)--University of Delaware, 2007. / Principal faculty advisor: James Hiebert, School of Education. Includes bibliographical references.

The purpose of the study was to investigate process and stability issues in intermarried families utilizing data from a group of American Indian intermarried families and a group of endogamous European American families. Stability issues such as marital satisfaction and overall problem solving were investigated by comparing scores between the two groups. Process issues such as the participation and the coalition practices related to intermarriage were investigated by comparing scores between the two groups and analyzing in more depth the gender and ethnic data of the parents in the American Indian intermarried group. Supplementary qualitative analysis was also supplied by focus groups of American Indian college students discussing the subject of American Indian intermarried families. Significant distinctions were identified by both analyses which indicate a complex relationship between intermarriage status, American Indian culture, family problem solving, and marital satisfaction. / Graduation date: 1996

My work is broadly concerned with the question "How can designs bessynthesized computationally?" The project deals primarily with mechanical devices and focuses on pre-parametric design: design at the level of detail of a blackboard sketch rather than at the level of detail of an engineering drawing. I explore the project ideas in the domain of single-input single-output dynamic systems, like pressure gauges, accelerometers, and pneumatic cylinders. The problem solution consists of two steps: 1) generate a schematic description of the device in terms of idealized functional elements, and then 2) from the schematic description generate a physical description.

Thesis (Ph. D.)--University of Washington, 1985. / Vita. Bibliography: leaves [131]-137.

Thesis (M.A.)--Brigham Young University. Dept of Mathematics Education, 2006. / Includes bibliographical references (p. 65-66).

Thesis (Ph. D.)--University of Hong Kong, 2006. / Title proper from title frame. Also available in printed format.

A growing body of research has drawn attention to the hierarchical and bureaucratic nature of the hospital organizational environment in which nurses seek to resolve ethical problems related to patient care, whereas other studies have focused on the impact of nurses’ personal or professional qualities on those nurses’ ethical problem solving. This qualitative investigation sought to elucidate the extent to which nurses perceived their personal or professional qualities, as well as organizational characteristics, as influencing their ethical decision making. This investigator interviewed 10 registered nurses in 2 acute-care hospitals that were different in size, location, and type. A relational ethics lens assisted in the analysis of the data, emphasizing ways in which the nurses’ ethical problem solving was socially situated within a complex of relationships with others, including patients, families, physicians, and coworkers. Data analysis revealed key themes, including the nurses’ concern for patients, professional experience, layered relationships with others, interactions within the organization, and situational analysis of contexts and relationships. Subthemes included the nurses’ relationships with patients, physicians, patients’ families, and coworkers. This study revealed a range of ethical problems. Nurses saw their patients as their greatest concern; the nurses worked within a social context of multilayered and complex relationships within a hierarchical, bureaucratic organization with the desire to bring about the best outcomes for patients. The participants described ethical concerns related to the actions or decisions of physicians, patients’ family members, and nurses’ coworkers. The nurses’ deliberation to resolve these ethical problems considered risks and benefits for patients, nurses, and others. The nurses seemed to carry out a contextual assessment, analyzing the presence of mutual respect, the extent of relational engagement, and the potential for opening relational space in order to work together with others to resolve the ethical problem for the patient’s best outcome. The nurses’ ethical actions were socially situated within this complex interpersonal context. This thesis discusses implications of these findings for nursing research, education, and practice.

A growing body of research has drawn attention to the hierarchical and bureaucratic nature of the hospital organizational environment in which nurses seek to resolve ethical problems related to patient care, whereas other studies have focused on the impact of nurses’ personal or professional qualities on those nurses’ ethical problem solving. This qualitative investigation sought to elucidate the extent to which nurses perceived their personal or professional qualities, as well as organizational characteristics, as influencing their ethical decision making. This investigator interviewed 10 registered nurses in 2 acute-care hospitals that were different in size, location, and type. A relational ethics lens assisted in the analysis of the data, emphasizing ways in which the nurses’ ethical problem solving was socially situated within a complex of relationships with others, including patients, families, physicians, and coworkers. Data analysis revealed key themes, including the nurses’ concern for patients, professional experience, layered relationships with others, interactions within the organization, and situational analysis of contexts and relationships. Subthemes included the nurses’ relationships with patients, physicians, patients’ families, and coworkers. This study revealed a range of ethical problems. Nurses saw their patients as their greatest concern; the nurses worked within a social context of multilayered and complex relationships within a hierarchical, bureaucratic organization with the desire to bring about the best outcomes for patients. The participants described ethical concerns related to the actions or decisions of physicians, patients’ family members, and nurses’ coworkers. The nurses’ deliberation to resolve these ethical problems considered risks and benefits for patients, nurses, and others. The nurses seemed to carry out a contextual assessment, analyzing the presence of mutual respect, the extent of relational engagement, and the potential for opening relational space in order to work together with others to resolve the ethical problem for the patient’s best outcome. The nurses’ ethical actions were socially situated within this complex interpersonal context. This thesis discusses implications of these findings for nursing research, education, and practice.