The effects of teaching a mathematics problem solving strategy on the problem solving ability of grade nine students

Forty grade 9 students were selected from a small rural board in southern Ontario. The students were in two classes and were treated as two groups. The treatment group received instruction in the Logical Numerical Problem Solving Strategy every day for 37 minutes over a 6 week period. The control group received instruction in problem solving without this strategy over the same time period. Then the control group received the treat~ent and the treatment group received the instruction without the strategy. Quite a large variance was found in the problem solving ability of students in grade 9. It was also found that the growth of the problem solving ability achievement of students could be measured using growth strands based upon the results of the pilot study. The analysis of the results of the study using t-tests and a MANOVA demonstrated that the teaching of the strategy did not significaritly (at p s 0.05) increase the problem solving achievement of the students. However, there was an encouraging trend seen in the data.

An examination of grade three mathematics textbooks for problem solving strategies

Three grade three mathematics textbooks were selected arbitrarily (every other) from a total of six currently used in the schools of Ontario. These textbooks were examined through content analysis in order to determine the extent (i. e., the frequency of occurrence) to which problem solving strategies appear in the problems and exercises of grade three mathematics textbooks, and how well they carry through the Ministry's educational goals set out in The Formative Years. Based on Polya's heuristic model, a checklist was developed by the researcher. The checklist had two main categories, textbook problems and process problems and a finer classification according to the difficulty level of a textbook problem; also six commonly used problem solving strategies for the analysis of a process problem. Topics to be analyzed were selected from the subject guideline The Formative Years, and the same topics were selected from each textbook. Frequencies of analyzed problems and exercises were compiled and tabulated textbook by textbook and topic by topic. In making comparisons, simple frequency count and percentage were used in the absence of any known criteria available for judging highor low frequency. Each textbook was coded by three coders trained to use the checklist. The results of analysis showed that while there were large numbers of exercises in each textbook, not very many were framed as problems according to Polya' s model and that process problems form a small fraction of the number of analyzed problems and exercises. There was no pattern observed as to the systematic placement of problems in the textbooks.

Teachers' professional learning within communities of mathematics-for-teaching practice

Ontario bansho is an emergent mathematics instructional strategy used by teachers working within communities of practice that has been deemed to have a transformational effect on teachers' professional learning of mathematics. This study sought to answer the following question: How does teachers' implementation of Ontario bansho within their communities of practice inform their professional learning process concerning mathematics-for-teaching? Two other key questions also guided the study: What processes support teachers' professional learning of content-for-teaching? What conditions support teachers' professional learning of content-for-teaching? The study followed an interpretive phenomenological approach to collect data using a purposive sampling of teachers as participants. The researcher conducted interviews and followed an interpretive approach to data analysis to investigate how teachers construct meaning and create interpretations through their social interactions. The study developed a model of professional learning made up of 3 processes, informing with resources, engaging with students, and visualizing and schematizing in which the participants engaged and 2 conditions, ownership and community that supported the 3 processes. The 3 processes occur in ways that are complex, recursive, nonpredictable, and contextual. This model provides a framework for facilitators and leaders to plan for effective, content-relevant professional learning by placing teachers, students, and their learning at the heart of professional learning.

A conceptual analysis of research literature on teachers' ideology and literacy practices: extending the dialogue through a secondary analysis of high school English as an additional language contexts /

This thesis provides a conceptual analysis of research literature on teachers' ideology and literacy practices as well as a secondary analysis of three empirical studies and the ways in which the ideologies of the English as an Additional Language (EAL) (Street, 2005) teachers in these contexts impact the teaching of literacy in empowering/disabling ways. Several major theoretical components of Cummins (1996, 2000), Gee (1996, 2004) and Street (1995, 2001) are examined and integrated into a conceptual triad consisting of three main areas: power and ideology, validation of students ' cultural and linguistic backgrounds, and teaching that empowers. This triad provides the framework for the secondary analysis of three empirical studies on the ideologies of secondary EAL teachers. Implications of the findings from the conceptual and secondary analyses are examined in light of the research community and secondary school teachers of EAL.

The Ontario Municipal Freedom of Information and Protection of Individual Privacy Act: an analysis of its application to school boards

In Canada freedom of information must be viewed in the context of governing -- how do you deal with an abundance of information while balancing a diversity of competing interests? How can you ensure people are informed enough to participate in crucial decision-making, yet willing enough to let some administrative matters be dealt with in camera without their involvement in every detail. In an age when taxpayers' coalition groups are on the rise, and the government is encouraging the establishment of Parent Council groups for schools, the issues and challenges presented by access to information and protection of privacy legislation are real ones. The province of Ontario's decision to extend freedom of information legislation to local governments does not ensure, or equate to, full public disclosure of all facts or necessarily guarantee complete public comprehension of an issue. The mere fact that local governments, like school boards, decide to collect, assemble or record some information and not to collect other information implies that a prior decision was made by "someone" on what was important to record or keep. That in itself means that not all the facts are going to be disclosed, regardless of the presence of legislation. The resulting lack of information can lead to public mistrust and lack of confidence in those who govern. This is completely contrary to the spirit of the legislation which was to provide interested members of the community with facts so that values like political accountability and trust could be ensured and meaningful criticism and input obtained on matters affecting the whole community. This thesis first reviews the historical reasons for adopting freedom of information legislation, reasons which are rooted in our parliamentary system of government. However, the same reasoning for enacting such legislation cannot be applied carte blanche to the municipal level of government in Ontario, or - ii - more specifially to the programs, policies or operations of a school board. The purpose of this thesis is to examine whether the Municipal Freedom of Information and Protection of Privacy Act, 1989 (MFIPPA) was a neccessary step to ensure greater openness from school boards. Based on a review of the Orders made by the Office of the Information and Privacy Commissioner/Ontario, it also assesses how successfully freedom of information legislation has been implemented at the municipal level of government. The Orders provide an opportunity to review what problems school boards have encountered, and what guidance the Commissioner has offered. Reference is made to a value framework as an administrative tool in critically analyzing the suitability of MFIPPA to school boards. The conclusion is drawn that MFIPPA appears to have inhibited rather than facilitated openness in local government. This may be attributed to several factors inclusive of the general uncertainty, confusion and discretion in interpreting various provisions and exemptions in the Act. Some of the uncertainty is due to the fact that an insufficient number of school board staff are familiar with the Act. The complexity of the Act and its legalistic procedures have over-formalized the processes of exchanging information. In addition there appears to be a concern among municipal officials that granting any access to information may be violating personal privacy rights of others. These concerns translate into indecision and extreme caution in responding to inquiries. The result is delay in responding to information requests and lack of uniformity in the responses given. However, the mandatory review of the legislation does afford an opportunity to address some of these problems and to make this complex Act more suitable for application to school boards. In order for the Act to function more efficiently and effectively legislative changes must be made to MFIPPA. It is important that the recommendations for improving the Act be adopted before the government extends this legislation to any other public entities.

The use of explicit algorithms and episodic context to teach subtraction to students with learning problems in mathematics /

This research attempted to address the question of the role of explicit algorithms and episodic contexts in the acquisition of computational procedures for regrouping in subtraction. Three groups of students having difficulty learning to subtract with regrouping were taught procedures for doing so through either an explicit algorithm, an episodic content or an examples approach. It was hypothesized that the use of an explicit algorithm represented in a flow chart format would facilitate the acquisition and retention of specific procedural steps relative to the other two conditions. On the other hand, the use of paragraph stories to create episodic content was expected to facilitate the retrieval of algorithms, particularly in a mixed presentation format. The subjects were tested on similar, near, and far transfer questions over a four-day period. Near and far transfer algorithms were also introduced on Day Two. The results suggested that both explicit and episodic context facilitate performance on questions requiring subtraction with regrouping. However, the differential effects of these two approaches on near and far transfer questions were not as easy to identify. Explicit algorithms may facilitate the acquisition of specific procedural steps while at the same time inhibiting the application of such steps to transfer questions. Similarly, the value of episodic context in cuing the retrieval of an algorithm may be limited by the ability of a subject to identify and classify a new question as an exemplar of a particular episodically deflned problem type or category. The implications of these findings in relation to the procedures employed in the teaching of Mathematics to students with learning problems are discussed in detail.

Identifying language needs of ESL students in a Canadian university based intensive English language program

This study investigated the needs of adult ESL learners intending to pursue higher education in Canada. Its chief purpose was to enable educators and administrators to design ESL programs that would prepare students to function at optimal levels in academic and social settings during their university studies. The study adopted a mixed research method that was predominantly qualitative in its orientation and narrative in its implementation. It focused on an Intensive English Language Program (IELP) offered at an Ontario university. Using a holistic approach, the study sought to represent the various perspectives of all the participants in the program: the students, the instructors, and the administrators. Analysis of both qualitative and quantitative data gathered from 17 students, 6 instructors, and 1 administrator in the IELP showed that to a large extent the academic needs ofESL learners in the IELP were generally not being met. Most notably, the study found that learners were not receiving sufficient training in speaking and listening skills, a factor that contributed to their sense of insecurity and lack of confidence in their ability to communicate successfully in academic and social settings. The study also revealed that the solutions to many of the problems it identified lay not in the classroom but in the way the ESL program was structured administratively. One major recommendation to come out of the study is that programs like the IELP should be restructured so as to give them greater flexibility in meeting individual needs. While the study labored under certain limitations and did not achieve all of its goals, it did succeed in creating awareness ofthe problems and in establishing a methodological approach that can serve as a framework within which future research may be conducted in this somewhat neglected area.

Evolution of Various Library Instruction Strategies: Using Student Feedback to Create and Enhance Online Active Learning Assignments

This case study traces the evolution of library assignments for biological science students from paper-based workbooks in a blended (hands-on) workshop to blended learning workshops using online assignments to online active learning modules which are stand-alone without any face-to-face instruction. As the assignments evolved to adapt to online learning supporting materials in the form of PDFs (portable document format), screen captures and screencasting were embedded into the questions as teaching moments to replace face-to-face instruction. Many aspects of the evolution of the assignment were based on student feedback from evaluations, input from senior lab demonstrators and teaching assistants, and statistical analysis of the students’ performance on the assignment. Advantages and disadvantages of paper-based and online assignments are discussed. An important factor for successful online learning may be the ability to get assistance.

Perceptions of some teachers about the similarities and/or differences in teaching online versus in a classroom environment /

The introduction of computer and communications technology, and particularly the internet, into education has opened up some new possibilities for teaching and learning. Courses designed and delivered in an online environment offer the possibility of highly interactive and individually focussed teaching and learning experiences. However, online courses also present new challenges for both teachers and students. A qualitative study was conducted to explore teachers' perceptions about the similarities and differences in teaching in the online and face-to-face (F2F) environments. Focus group discussions were held with 5 teachers; 2 teachers were interviewed in depth. The participants, 3 female and 2 male, were full-time teachers from a large College of Applied Arts & Technology in southern Ontario. Each of them had over 10 years of F2F teaching experience and each had been involved in the development and teaching of at least one online course. i - -; The study focussed on how teaching in the online environment compares with teaching in the F2F environment, what roles teachers and students adopt in each setting, what learning communities mean online and F2F and how they are developed, and how institutional policies, procedures, and infrastructure affect teaching and learning F2F and online. This study was emic in nature, that is the teachers' words determine the themes identified throughout the study. The factors identified as affecting teaching in an online environment included teacher issues such as course design, motivation to teach online, teaching style, role, characteristics or skills, and strategies. Student issues as perceived by the teachers included learning styles, role, and characteristics or skills. As well, technology issues such as a reliable infrastructure, clear role and responsibilities for maintaining the infrastructure, support, and multimedia capability affected teaching online. Finally, administrative policies and procedures, including teacher selection and training, registration and scheduling procedures, intellectual property and workload policies, and the development and communication of a comprehensive strategic plan were found to impact on teaching online. The teachers shared some of the benefits they perceived about teaching online as well as some of the challenges they had faced and challenges they perceived students had faced online. Overall, the teachers feh that there were more similarities than differences in teaching between the two environments, with the main differences being the change from F2F verbal interactions involving body language to online written interactions without body language cues, and the fundamental reliance on technology in the online environment. These findings support previous research in online teaching and learning, and add teachers' perspectives on the factors that stay the same and the factors that change when moving from a F2F environment to an online environment.

Public service reform and the role of the Auditor General /

The objective of this thesis is to study the involvement of the Auditor General in the proposal, implementation and review of major public service reform initiatives during a period spanning nearly forty years, from the early 1960s to 2001 . This period began with the Glassco Commission and concludes at the end of the term in office of Auditor General Denis Desautels in 2001. It has been demonstrated throughout this work that the role of the OAG has varied, from proponent to critic, from instigator to reviewer. In the past forty years the OAG's mandate has changed to meet the requirements of critical analysis of government operations and this has been aptly demonstrated in the office's relationship to the issue of public service reform. It has been argued that many of the problems facing the public service are cultural in nature. Reform initiatives have taken on a number of various forms with each addressing a different set of priorities. However, there has been a great deal of consistency in the cultural values that these initiatives articulate. Throughout this thesis attention has been paid to values. Values define a culture and cultural change is required within the Canadian federal public service. How and when this cultural change will occur is but one question to be answered. During the period under consideration in this thesis the government undertook several significant public service reform initiatives. Those examined in this thesis include: The Royal Commission on Government Organization, The Special Committee on the Review of Personnel Management and the Merit Principle, The Royal Commission on Financial Management and Accountability, Increased Ministerial Authority and Accountability, Public Service 2000, Program Review and finally La Releve. The involvement, or interest, of the Auditor General's Office on the subject of public service reform is generally articulated through the means of its annual reports to Parliament although there have been supplementary undertakings on this issue. Such material relevant to this study include: Towards Better Governance: Public Service Reform in New Zealand (1984-94) and its Relevance to Canada and Reform in the Australian Public Service. Annual reports to Parliament include: "Values, Service and Performance," (1990), "Canada's Public Service Reform and Lessons Learned from Selected Jurisdictions," (1993), "Maintaining a Competent and Efficient Public Service," (1997), and "Expenditure and Work Force Reduction in Selected Departments,"

Medicalization and women : O, the Oprah Magazine diagnosed through critical discourse analysis

This thesis uses critical discourse analysis (COAl to explore and examine direct-toconsumer (OTC) pharmaceutical drug advertisements appearing in four issues of 0, The Oprah Magazine in 2006. The theoretical underpinnings of this thesis emerge from social scientists and feminists analyses regarding the medicalization of everyday life. The findings of this study highlight three types of discourses used by pharmaceutical companies. First, I explore the use of historical and contemporary gender norms to seJi pharmacological products; second, J examine discourses which normalize the use of chemical solutions as the first line of defense to address a wide range of everyday problems; and finally, I assess how phannaceutical advertisements provide an illusion of autonomy by responsibilizing individuals as patients, at the same time as they suggest that real independence can only be achieved with medication. My discussion of these themes also includes an analysis of why 0 Magazine, which explicitly promotes women's empowerment through holistic approaches to health and personal growthmight support such advertising. Thus I explore: how does OTC advertising benefit both pharmaceutical companies and 0 Magazine itself? I conclude through a brief discussion of the larger implications of OTC advertising for women's health.

Rethinking Fiscal Decentralization Policies in Developing Economies: A Case Study of Ghana

This thesis invites geographers to pay more attention to public policy research by addressing the need to rethink fiscal decentralization policies in Ghana. By applying “Simandan’s wise stance in human geography” and “Grix’s building blocks of social research design”, I developed a conceptual framework that unites two incommensurable ontological and epistemological research positions in geography—the positive and normative positions. I used the framework to investigate two key research questions. First, does fiscal decentralization actually work in Ghana? Through quantitative analysis of empirical revenue and expenditure data (1994-2011) of local governments in Ghana, this study reveals significant issues of inefficiency, inequity, and unaccountability. Local governments generate less revenue, and therefore depend largely on central government transfers for developing their jurisdictions. Worse yet, these transfers are highly unpredictable in terms of amount and timing. Even though a multivariate regression analysis revealed that these transfers are apolitical, the actual disbursement formula tends to focus on equality instead of equity. Additionally, the unclear expenditure assignments in each locality make accountability difficult. In view of these problems, I addressed the question: why is fiscal decentralization held out as a good thing in Ghana? By drawing lessons from Foucault’s and Escobar’s critical discourse analysis, I traced a genealogy of Ghana’s fiscal decentralization. I found that the policy is held out as a good thing in Ghana because of the triangular operation of multiplicities of power, knowledge, and truth regimes at the local, national and international scale. I concluded that although nation-states remains a necessary causal link in fiscal decentralization policy process in Ghana, direct and indirect international involvement have profound effect on these policies. Therefore, rethinking fiscal decentralization involves acknowledging the complex intermingling effects that global, national, and local territories produce.

Characterizing Dynamic Optimization Benchmarks for the Comparison of Multi-Modal Tracking Algorithms

Population-based metaheuristics, such as particle swarm optimization (PSO), have been employed to solve many real-world optimization problems. Although it is of- ten sufficient to find a single solution to these problems, there does exist those cases where identifying multiple, diverse solutions can be beneficial or even required. Some of these problems are further complicated by a change in their objective function over time. This type of optimization is referred to as dynamic, multi-modal optimization. Algorithms which exploit multiple optima in a search space are identified as niching algorithms. Although numerous dynamic, niching algorithms have been developed, their performance is often measured solely on their ability to find a single, global optimum. Furthermore, the comparisons often use synthetic benchmarks whose landscape characteristics are generally limited and unknown. This thesis provides a landscape analysis of the dynamic benchmark functions commonly developed for multi-modal optimization. The benchmark analysis results reveal that the mechanisms responsible for dynamism in the current dynamic bench- marks do not significantly affect landscape features, thus suggesting a lack of representation for problems whose landscape features vary over time. This analysis is used in a comparison of current niching algorithms to identify the effects that specific landscape features have on niching performance. Two performance metrics are proposed to measure both the scalability and accuracy of the niching algorithms. The algorithm comparison results demonstrate the algorithms best suited for a variety of dynamic environments. This comparison also examines each of the algorithms in terms of their niching behaviours and analyzing the range and trade-off between scalability and accuracy when tuning the algorithms respective parameters. These results contribute to the understanding of current niching techniques as well as the problem features that ultimately dictate their success.

A Case Study of Disengaged Students' Experiences with Teaching Games for Understanding

The purpose of this research study was to determine if the instructional model, Teaching Games for Understanding (TGfU), would allow for the successful teaching of sport to disengaged female students in Physical Education (PE) classes. An instrumental case study research design was used to determine grade nine female students’ experiences with TGfU, the factors of TGfU that facilitated their engagement, and the ways in which these students resisted engaging in TGfU. Data was collected through a pre and post TGfU unit focus group, participant observation, in-depth interviews, and researcher reflections. Results showed that TGfU caused an increase in the participants’ engagement in PE physically, mentally, and socially/emotionally. Future researchers could structure their entire study holistically and should examine TGfU’s impact on student engagement over the course of an entire semester. Subsequent studies should moreover examine the presence of disengagement within physically skilled students in PE.

The historical game-changes in the philosophy of devotion and caste as used and misused by the Bhagavad-gita

This thesis considers that the purport of the Bhagavadgita is to prioritize the philosophy of loving devotion to God (bhakti), not the propagation of color-coded-caste (varna system). The distinction between bhakti and caste becomes clear when one sees their effect on human life and on the society. Jnana and karma, two of the other polarities with which the Gita contends, finally support bhakti towards betterment, not deterioration, if done selflessly and with balance. Caste, however, is a totally different tension, which is always detrimental to the well-being of the person and the society. In the Gita, the devotees' mystical or emotional love of, God apprehends their ~ oneness with the Supreme God and with all beings, and transcends the pitiless segregation of the caste system, and opens the path of salvation to all irrespective of race, color, caste, class or gender in life. In spite of much opposition from orthodoxy, the bhakti movement spread allover India, and bhakti itself rose to the level of orthodoxy and has become the faith of millions of people especially of the south, and surprisingly, of even of those of the so called highest caste. And yet, caste still remains as an indelible mark of every Hindu, even after they change their religion. Although caste is less venomous now, it is still openly present in all walks of Indian life and shows up its ugly head at important moments such as marriage, elections for public office, admission to school or employment. True, bhakti is the antidote for. caste; but only real bhakti can remove caste completely, not mere lip-service to it. This thesis claims that bhakti is the deliberate major thrust of the teaching of the Gita while caste seems to be a contradiction of this thrust.