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.

Anxiety and learning / response behaviour in the context of intellectual problem solving by young children

Twenty-eight grade four students were ca.tegorized as either high or low anxious subjects as per Gillis' Child Anxiety Scale (a self-report general measure). In determining impulsivity in their response tendencies, via Kagan's Ma.tching Familiar Figures Test, a significant difference between the two groups was not found to exist. Training procedures (verbal labelling plus rehearsal strategies) were introduced in modification of their learning behaviour on a visual sequential memory task. Significantly more reflective memory recall behaviour was noted by both groups as a result. Furthermore, transfer of the reflective quality of this learning strategy produced significantly less impulsive response behaviour for high and low anxious subjects with respect to response latency and for low anxious subjects with respect to response accuracy.

Ethnic conflicts and international politics : an analysis of the communal regional, and global dimensions of the Cyprus problem

The thesis assesses the impact of international factors on relations between Greek and Turkish Cypriots during and after the Cold War. Through an analysis of the Cyprus problem it explores both why external actors intervene in communal conflicts and how they influence relations between ethnic groups in plural societies. The analytical framework employed throughout the study draws on contributions of International Relations theorists and students of ethnic conflict. The thesis argues that, as in the global political system, relations between ethnic groups in unranked communal systems are anarchic; that is, actors within the system do not recognize a sovereign political authority. In bipolar communal systems dominated by two relatively equal groups, the struggle for security and power often leads to appeals for assistance from external actors. The framework notes that neighboring states and Great Powers may heed calls for assistance, or intervene without a prior request, if it is in their interest to do so. The convergence of regional and global interests in communal affairs exacerbates ethnic conflicts and precludes the development of effective political institutions. The impact of external intervention in ethnic conflicts has the potential to alter the basis of communal relations. The Cyprus problem is examined both during and after the Cold War in order to gauge how global and regional actors and the structure of their respective systems have affected relations between ethnic groups in Cyprus. The thesis argues that Cyprus's descent into civil war in 1963 was due in part to the entrenchment of external interests in the Republic's constitution. The study also notes that power politics involving the United States, Soviet Union, Greece and Turkey continued to affect the development of communal relations throughout the 1960s, 70s, and, 80s. External intervention culminated in July and August 1974, after a Greek sponsored coup was answered by Turkey's invasion and partition of Cyprus. The forced expulsion of Greek Cypriots from the island's northern territories led to the establishment of ethnically homogeneous zones, thus altering the context of communal relations dramatically. The study also examines the role of the United Nations in Cyprus, noting that its failure to settle the dispute was due in large part to a lack of cooperation from Turkey, and the United States' and Soviet Union's acceptance of the status quo following the 1974 invasion and partition of the island. The thesis argues that the deterioration of Greek-Turkish relations in the post-Cold War era has made a solution to the dispute unlikely for the time being. Barring any dramatic changes in relations between communal and regional antagonists, relations between Greek and Turkish Cypriots will continue to develop along the lines established in July/August 1974. The thesis concludes by affirming the validity of its core hypotheses through a brief survey of recent works touching on international politics and ethnic conflict. Questions requiring further research are noted as are elements of the study that require further refinement.

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.

The problem of national integration in plural societies : a case study of Pakistan, 1947-71 /|nMuhammed A. Quddus. -- 260 St. Catharines [Ont. : s. n.],

Pakistan had a plural society per excellence. Its people were divided geographically between two separate regions, spoke different languages, had different cultures and economic structures. Like other plural societies elsewhere, Pakistan also faced the problem of national integration. Cleavages along the lines of traditional attachments are fundamental to any plural society, as they were in Pakistan. But their political manifestation could have been kept within managable limits if the Central Government, overwhelmingly composed of the West Pakistanis, was seriously committed to the task. All that Pakistan needed to maintain her integrated existence was deliberate, calculated and conscious efforts on the part of the Central Government to give the Bengalis, the majority linguistic and geographic group in the country, a partnership in the state of Pakistan, an effective power in the decision-making process of the country, a reasonable share from the economic resources of the country, and to show respect to their hopes and aspirations. In addition, Pakistan needed a national platform to bring her divergent linguistic and geographic groups toge~her for some common, national purpos~s. Political parties were the only institutions which could have served this purpose. Pakistan miserably failed to sustain national political parties and failed to satisfy Bengalis' demands. This failure eventually resulted in the falling apart of the political system of Pakistan in 1971.

Women over thirty choosing education as a solution to a problem

This study explored motivations of mid-life women over 30 years old who had returned to school. It sought to fmd whether these women returned to solve a problem arising from life events, whether viewing a problem was related to internal or external motivation, whether this perception was related to having greater coping skills, and whether having greater coping was related to seeking support from internal or external sources. This study examined which emotions were most related to viewing a life event as a problem. Finally, it explored the results of previous research of mid-life women in their role as a student. Women (N==83) from three types of institutions volunteered for this study: a university (N==34), a college (N==28), and an adult education centre (N==21). Participants took home a questionnaire package - a I3-page questionnaire and consent form - that were completed and mailed back to the researcher in pre-paid envelopes. Results showed that women over 30 seek education as a solution to a life event problem. External motivation was related to a life event being a problem (p<.005). There was a significant difference in coping scores between institutions. Moods that were related to viewing a life event as problematic were: anger and depressive moods (p<. 001), fatigue and vigor (p<.O 1), and tension/anxiety (p<.05). Mid-life women students' satisfaction in this role was related to being externally motivated. These women sought support from both internal and external sources, rarely had social interactions with peers, and viewed this role as important, yet, temporary in that it will help them change their lives. Implications ofthe results suggest further exploration ofthe roles of anger and depression in motivating women over 30 to learn and finding ways of directing women to use their emotional intelligence to seek out learning.

Problem children with and without communication delays : the changes in their parents' report of challenging behaviour, parental hassles and family conflict over a two -year period

The goal of this study was to examine the change, over a two year period, in mothers' reports of children's challenging behaviour and family conflict as they relate to change in parenting hassles (stress) among families who have preschool children with and without communication delays. Forty-four parent-child dyads participated in this Family Resource Project study that was funded by the Canadian Language and Literacy Research Network. Thirty-one ofthese families had preschool children with communication delays and 13 children were identified as not having communication delays. Child behaviour was evaluated using the Oppositional Subscale and ADHD Index of the Conners Parent Rating Scale (CPRS-R:S), the Conflict Subscale ofthe Family Environment Scale was used to examine family conflict, and the Parent Hassles Scale was used to examine parental stress. Results showed that change in mothers' daily hassles was influenced by change in their preschool children's ADHD behaviour and change in family conflict. Change in child oppositional behaviour did not predict change in mothers' hassles scores.

Using genetic algorithms for the single allocation hub location problem

Hub location problem is an NP-hard problem that frequently arises in the design of transportation and distribution systems, postal delivery networks, and airline passenger flow. This work focuses on the Single Allocation Hub Location Problem (SAHLP). Genetic Algorithms (GAs) for the capacitated and uncapacitated variants of the SAHLP based on new chromosome representations and crossover operators are explored. The GAs is tested on two well-known sets of real-world problems with up to 200 nodes. The obtained results are very promising. For most of the test problems the GA obtains improved or best-known solutions and the computational time remains low. The proposed GAs can easily be extended to other variants of location problems arising in network design planning in transportation systems.

Families with Children with Autism, Developmental Delay, and Typical Development: The Relationships of Parenting Self-Efficacy, Parenting Strategies, and Child Problem Behaviour

Parents of children with autism spectrum disorders (ASD) and developmental delays (DD) may experience more child problem behaviours, report lower parenting selfefficacy (PSE), and be more reactive than proactive in their parenting strategies than those who have children with typical development (TD). Differences in PSE and parenting strategies may also influence the extent to which child problem behaviours are experienced by parents who have children with ASD and DD, compared to those who have children with TD. Using a convenience sample of parents of children with ASD (n = 48), DD (n = 51), and TD (n = 72), this study examined group differences on three key variables: PSE, parenting strategies, and child problem behaviour. Results indicated that those in the DD group scored lower on PSE in preventing child problem behaviour than the ASD group. The TD group used fewer reactive strategies than the DD group, and fewer proactive strategies than both the ASD and DD groups. For the overall sample, higher reactive strategies use was found to predict higher ratings of child problem behaviour, while a greater proportion of proactive to reactive strategies use predicted lower ratings of child problem behaviour. PSE was found to moderate DD diagnosis and child problem behaviour. Implications for a behavioural (i.e., parenting strategies) or cognitive (i.e., PSE) approach to parenting are discussed.

A Needs Assessment: Language Instruction Stakeholders Engaging in Project Based Learning Outside the Classroom for Effective Strategic Problem Solving

Abstract A noted benefit of Project Based Learning (PBL) as a teaching strategy is how it engages the student and enhances learning outcomes as a result of working through challenges intended to depict dilemmas outside the classroom. PBL has seldom been applied outside the parameters of the classroom curriculum. The current needs assessment carried out in this research project examined current practices of language instruction and International Administrative Professionals of both the private and public Language Industry. Participants responded to survey questions on their current administrative practices, strategies, and program characteristics. The study investigated the usefulness of a handbook on the procedure of assisting administrative service teams in language instruction settings to an engaged approach to PBL for student service issues. The diverse opinions, beliefs, and ideas, along with institutional policy, can provide beneficial framework ideas for future tools.

Heuristics for the Critical Node Detection Problem in Large Complex Networks

Complex networks have recently attracted a significant amount of research attention due to their ability to model real world phenomena. One important problem often encountered is to limit diffusive processes spread over the network, for example mitigating pandemic disease or computer virus spread. A number of problem formulations have been proposed that aim to solve such problems based on desired network characteristics, such as maintaining the largest network component after node removal. The recently formulated critical node detection problem aims to remove a small subset of vertices from the network such that the residual network has minimum pairwise connectivity. Unfortunately, the problem is NP-hard and also the number of constraints is cubic in number of vertices, making very large scale problems impossible to solve with traditional mathematical programming techniques. Even many approximation algorithm strategies such as dynamic programming, evolutionary algorithms, etc. all are unusable for networks that contain thousands to millions of vertices. A computationally efficient and simple approach is required in such circumstances, but none currently exist. In this thesis, such an algorithm is proposed. The methodology is based on a depth-first search traversal of the network, and a specially designed ranking function that considers information local to each vertex. Due to the variety of network structures, a number of characteristics must be taken into consideration and combined into a single rank that measures the utility of removing each vertex. Since removing a vertex in sequential fashion impacts the network structure, an efficient post-processing algorithm is also proposed to quickly re-rank vertices. Experiments on a range of common complex network models with varying number of vertices are considered, in addition to real world networks. The proposed algorithm, DFSH, is shown to be highly competitive and often outperforms existing strategies such as Google PageRank for minimizing pairwise connectivity.

Multi-Objective Genetic Algorithms for the Single Allocation Hub Location Problem

Hub Location Problems play vital economic roles in transportation and telecommunication networks where goods or people must be efficiently transferred from an origin to a destination point whilst direct origin-destination links are impractical. This work investigates the single allocation hub location problem, and proposes a genetic algorithm (GA) approach for it. The effectiveness of using a single-objective criterion measure for the problem is first explored. Next, a multi-objective GA employing various fitness evaluation strategies such as Pareto ranking, sum of ranks, and weighted sum strategies is presented. The effectiveness of the multi-objective GA is shown by comparison with an Integer Programming strategy, the only other multi-objective approach found in the literature for this problem. Lastly, two new crossover operators are proposed and an empirical study is done using small to large problem instances of the Civil Aeronautics Board (CAB) and Australian Post (AP) data sets.

New Contig Creation Algorithm for the de novo DNA Assembly Problem

DNA assembly is among the most fundamental and difficult problems in bioinformatics. Near optimal assembly solutions are available for bacterial and small genomes, however assembling large and complex genomes especially the human genome using Next-Generation-Sequencing (NGS) technologies is shown to be very difficult because of the highly repetitive and complex nature of the human genome, short read lengths, uneven data coverage and tools that are not specifically built for human genomes. Moreover, many algorithms are not even scalable to human genome datasets containing hundreds of millions of short reads. The DNA assembly problem is usually divided into several subproblems including DNA data error detection and correction, contig creation, scaffolding and contigs orientation; each can be seen as a distinct research area. This thesis specifically focuses on creating contigs from the short reads and combining them with outputs from other tools in order to obtain better results. Three different assemblers including SOAPdenovo [Li09], Velvet [ZB08] and Meraculous [CHS+11] are selected for comparative purposes in this thesis. Obtained results show that this thesis’ work produces comparable results to other assemblers and combining our contigs to outputs from other tools, produces the best results outperforming all other investigated assemblers.