19 resultados para Differencial and integral calculus teaching

em Brock University, Canada


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This exploratory, descriptive action research study is based on a survey of a sample of convenience consisting of 172 college and university marketing students, and 5 professors who were experienced in teaching in an internet based environment. The students that were surveyed were studying e-commerce and international business in 3^^ and 4*'' year classes at a leading imiversity in Ontario and e-commerce in 5^ semester classes at a leading college. These classes were taught using a hybrid teaching style with the contribution of a large website that contained pertinent text and audio material. Hybrid teaching employs web based course materials (some in the form of Learning Objects) to deliver curriculimi material both during the attended lectures and also for students accessing the course web page outside of class hours. The survey was in the form on an online questionnaire. The research questions explored in this study were: 1. What factors influence the students' ability to access and learn from web based course content? 2. How likely are the students to use selected elements of internet based curriculum for learning academic content? 3. What is the preferred physical environment to facilitate learning in a hybrid environment? 4. How effective are selected teaching/learning strategies in a hybrid environment? The findings of this study suggest that students are very interested in being part of the learning process by contributing to a course web site. Specifically, students are interested in audio content being one of the formats of online course material, and have an interest in being part of the creation of small audio clips to be used in class.

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This is a narrative design study focusing on the understandings that a group of 6 Southern Ontario teachers have of cultural diversity and how these understandings integrated into their development of teacher identity. Given the high culturally diverse population of Canada and its national multicultural values, conducting this study on Canadian pre-service and in-service teachers offers an interesting contribution to the field. In efforts to explore the participants’ understandings, the research examined a teaching abroad experience. The aim was to investigate how these participants gained insight from their experiences with cultural diversity and whether these insights stimulated a greater culturally conscious teacher identity. Narratives provided a description of the lived experiences of these 6 teachers and identified meanings made from these experiences. Participants included 2 pre-service teachers who were in a teacher education program at the time of the interview, and 4 certified teachers who graduated from a teacher education program within the past 5 years. One on one interviews focused on lived experiences within a participant’s home, school community, and teaching abroad. The researcher used grounded theory during the data analysis to assist in identifying themes, and then compared these themes among participants. Overall, this study suggests that even though these participants live in a multicultural nation, experiences varied greatly based on contributing factors such as heritage and exposure to cultural diversity through their home and school life. Despite their varying level of cultural competence, all participants gained insight from their teaching abroad experience, contributing to a teacher identity that considered inclusive practices. This study suggests that there are some important factors to consider when preparing teachers to teach in a multicultural society.

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Let f(x) be a complex rational function. In this work, we study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we derive some conditions for the case of complex polynomials. We consider also the divisibility of integral polynomials, and we present a generalization of a theorem of Nieto. We show that if f(x) and g(x) are integral polynomials such that the content of g divides the content of f and g(n) divides f(n) for an integer n whose absolute value is larger than a certain bound, then g(x) divides f(x) in Z[x]. In addition, given an integral polynomial f(x), we provide a method to determine if f is irreducible over Z, and if not, find one of its divisors in Z[x].

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This case study explored strategies and techniques in order to assist individuals with learning disabilities in their academic achievement. Of particular focus was how a literacy-based program, titled The Spring Reading Program, utilizes effective tactics and approaches that result in academic growth. The Spring Reading Program, offered by the Learning Disabilities Association of Niagara Region (LDANR) and partnered with John McNamara from Brock University, supports children with reading disabilities academically. In addition, the program helps children increase their confidence and motivation towards literacy. I began this study by outlining the importance of reading followed by and exploration of what educators and researchers have demonstrated regarding effective literacy instruction for children with learning disabilities. I studied effective strategies and techniques in the Spring Reading Program by conducting a qualitative case study of the program. This case study subsequently presents in depth, 4 specific strategies: Hands-on activities, motivation, engagement, and one-on-one instruction. Each strategy demonstrates its effectiveness through literature and examples from the Spring Reading Program.

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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.

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The intent in this study was to investigate in what ways teachers· beliefs about education and teaching are expressed in the specific teaching behaviours they employ, and whether teaching behaviours, as perceived by their students, are correlated with students· critical thinking and self-directed learning. To this end the relationships studied were: among faCUlty members· philosophy of teaching, locus of control orientation, psychological type, and observed teaching behaviour; and among students· psychological type, perceptions of teaching behaviour, self-directed learning readiness, and critical thinking. The overall purpose of the study was to investigate whether the implicit goals of higher education, critical thinking and self-direction, were actually accounted for in the university classroom. The research was set within the context of path-goal theory, adapted from the leadership literature. Within this framework, Mezirow·s work on transformative learning, including the influences of Habermas· writings, was integrated to develop a theoretical perspective upon which to base the research methodology. Both qualitative and quantitative methodologies were incorporated. Four faCUlty and a total of 142 students participated in the study. Philosophy of teaching was described through faCUlty interviews and completion of a repertory grid. Faculty completed a descriptive locus of control scale, and a psychological type test. Observations of their teaching behaviour were conducted. Students completed a Teaching Behaviour Assessment Scale, the Self-Directed Learning Readiness Scale, a psychological type test, and the Watson-Glaser Critical Thinking Appraisal. A small sample of students were interviewed. Follow-up discussions with faculty were used to validate the interview, observation, teaching behaviour, and repertory grid data. Results indicated that some discrepancies existed between faculty's espoused philosophy of teaching and their observed teaching behaviour. Instructors' teaching behaviour, however, was a function of their personal theory of practice. Relationships were found between perceived teaching behaviour and students· self-directed learning and critical thinking, but these varied across situations, as would be predicted from path-goal theory. Psychological type of students and instructor also accounted for some of the variability in the relationships studied. Student psychological type could be shown as a partial predictor of self-directed learning readiness. The results were discussed in terms of theory development and implications for further research and practice.

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This action research observes a second year Japanese class at a university where foreign language courses are elective for undergraduate students. In this study, using the six strategies to teach Japanese speech acts that Ishihara and Cohen (2006) suggested, I conducted three classes and analyzed my teaching practice with a critical friend. These strategies assist learners toward the development of their understanding of the following Japanese speech acts and also keep the learners to use them in a manner appropriate to the context: (I) invitation and refusal; (2) compliments; and (3) asking for a permission. The aim of this research is not only to improve my instruction in relation to second language (L2) pragmatic development, but also to raise further questions and to develop future research. The findings are analyzed and the data derived from my journals, artifacts, students' work, observation sheets, interviews with my critical friend, and pretests and posttests are coded and presented. The analysis shows that (I) after my critical friend encouraged my study and my students gave me some positive comments after each lesson, I gained confidence in teaching the suggested speech acts; (2) teaching involved explaining concepts and strategies, creating the visual material (a video) showing the strategies, and explaining the relationship between the strategy and grammatical forms and samples of misusing the forms; (3) students' background and learning styles influenced lessons; and (4) pretest and posttests showed that the students' Icvel of their L2 appropriate pragmatics dramatically improved after each instruction. However, after careful observation, it was noted that some factors prevented students from producing the correct output even though they understood the speech act differences.

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Through the reflective lens of an adult educator with invisible and episodic disabilities, this paper has been written as an organizational autoethnography. Through a process of autoethnographical sensemaking, it is intended to illuminate important gaps in organizational theory. Feminist/relational care ethics, critical reflection, and transformative learning serve as the educational theories that comprise its framework. In telling my story, embodied writing and performance narrative are used to convey the felt existence of a body exposed through words—where my “abled” and “disabled” professional teaching and learning identities may be studied against the backdrop of organizational policies and procedures. Words used to describe unfamiliar experiences and situations shape meaning for which new meaning may emerge. At the conclusion of this paper, an alternative frame of reference—a view from the margins—may be offered to articulate authenticity in the expectancy of workplace equity for adult educators with disabilities. Taken collectively on a larger level, it is hoped that this research may provide a source of inspiration for systemic organizational change in adult learning environments.

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While bullying prevention programs appear to be decreasing the number of bullying incidents overseas, bullying prevention programs here in Canada have not been proving as effective. Evaluations of bullying prevention programs often focus on the outcomes and neglect to examine the training regimen for teachers. As teachers are on the front lines of bullying prevention programs, the current study explored teachers’ beliefs about the various types of bullying, their perceptions of their own abilities (e.g., teacher bullying prevention efficacy (TBPE), self-concept, and theory of mind) to implement bullying prevention initiatives, and how the school climate may influence their efficacy beliefs. Participants in the current study were 61 Canadian teachers (n = 51 women), predominantly from Ontario. Participating teachers represented all elementary division levels (primary, junior, and intermediate). Participants’ teaching experience ranged from zero years of teaching (pre-service) to 28 years of experience (M = 10.50, SD = 7.35). It was found that participants reported a relatively high TBPE score, which was related to their likely intervention in cyberbullying situations but not for other forms of bullying situations. It was found that teachers were most likely to intervene in physical bullying than verbal, relational, and cyberbullying, respectively. TBPE was influenced by the school climate. Teachers’ scores on the theory of mind scale was not a significant indicator of any teachers’ bullying beliefs. Analyses exploring the relationship between bullying beliefs and self-concept, morality predicted teachers TBPE scores and the likelihood of intervention. Teachers’ recommendations for bullying prevention training and school bullying prevention programs were explored. Results are discussed in terms of implications for practice and future research.

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This study explores how new university teachers develop a teaching identity. Despite the significance ofteaching, which usually comprises 40% of a Canadian academic's workload, few new professors have any formal preparation for that aspect of their role. Discipline-specific education for postsecondary professors is a well-defined path; graduates applying for faculty positions will have the terminal degree to attest to their knowledge and skill conducting research in the discipline. While teaching is usually given the same workload balance as research, it is not clear how professors create themselves as teaching professionals. Drawing on Kelly's (1955) personal construct theory and Kegan's (1982, 1994) model ofdevelopmental constructivism through differentiation and integration, this study used a phenomenographic framework~(Marton, 1986, 1994; Trigwell & Prosser, 1996) to investigate the question of how new faculty members construe their identity as university teachers. Further, my own role development as researcher was used as an additional lens through which to view the study results. The study focused particularly on the challenges and supports to teaching role development and outlines recommendations the participants made for supporting other newcomers. In addition, the variations and similarities in the results suggest a developmental model to conceptions ofteaching roles, one in which teaching, research, and service roles are viewed as more integrated over time. Developing a teacher identity was seen as a progression on a hierarchical model similar to Maslow's (1968) hierarchy of needs.

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This project was undertaken because of a need to analyse concepts in social science more specifically and sequence them more carefully in a social science program. Concepts have been identified vaguely on many curriculum documents or left in isolation from each other when they are specifically identified. The project's aim was to identify a method for analysing concepts and sequencing their teaching on some rational basis. Once the method for analysing concepts was identified a questionnaire was designed and administered to a random sample of students at the grade three, five and eight levels. The questionnaire attempted to measure their comprehension of specific social science concepts at several levels which became progressively more complex. The major hypothesis was that there would be a direct correlation between age and achievement on the questionnaire. The raw scores were seriated and correlated with the ages of the students using the rankdifference- squared method. For the majority of areas tested it was found that there was a significant correlation between age and achievement on the questionnaire. Variation in the correlation coefficients generated suggests that comprehension of social science concepts is not simply a function of age but is probably a function of several inter-related factors such as reading ability, skill in Basic Thinking Skills and age. Thirty students completed each test. There were three tests in the questionnaire.

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The following research paper was a study into change in student academic and general self-concept with increase in grade level and age# The majority of literature found by this researcher dealt with self-concept and its relationship to achievement and interactions with others, Review, then, was in these two areas-particularily within the academic setting, but outside of it as well. It wrs hypothesized that there would be a decrease in both academic and general student self-concept with increase in grade level and age. Self-Appraisal inventories, measuring general and academic selfconcept, and Inferential Self-Reports, measuring only academic selfconcept, were the instruments used* Subjects were students, Trade 1 to 13, and ranging in age from 5 to 21„ Although al] Self-Appraisal inventories and all Self-1?eports were very similar, they differed according to three Grade levels: Primary (Grades 1 to 3)> Intermediate (Grades L to 8), and Secondary (Grades 9 to 13) • Students in the Primary division received only their respective Self-Appraisal inventory, while others v/ere administered both inventories designed for their grade level. Scores on the inventories were computed to percents and then mean percents were arrived at for epch grade, each of the three grade levels, each age, and each of three age intervals. In all of these instances Spearman1 s rank order coefficients (!lpff) were calculated and significance, at the *05 level, was determined by referring to a table of critical values for one-tailed tests* Similarily fftff scores were computed, but only for individual grades and ages, and significance was determined at the *0b level* In only one instance, the General Dimension for individual grades, was significance of overall decrease found* Consequently the hypotheses put forth did not gain support* The fltff scores, however, revealed some isolated significant changes for the Academic Dimension, which were generally decreases in mean percents from the last grade of one level to the first grade of the next* For age mean percents, significant changes generally took place at early (5 or 6) and late (20 or 21) ages* A number of reasons for the results were presented and were generally based upon the studentfs encounters, or lack of encounters, with achievement or success* No definite conclusions, relevant to the hypotheses stated^ could be made, although a number of isolated ones were drawn on the basis of significant fltff scores* As well, mention was made of the possible trends or tendencies that were revealed by the results, but that could not, or were not, proven significant by "t's11 or "p's"* Teaching methods stressing improvement in academic, as well as socially related, situations, were recommended and a model teaching approach was presented in Appendix B#

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This qualitative study examines teachers' experiences implementing new standardized curricula in Ontario schools. This new curricula contained several policy changes and an expectations based format which directed what knowledge and skills students were to demonstrate in each subject. This level of specificity of subject-content served to control teachers in relation to curricula; however, data suggested that at the same time, teachers had enormous flexibility in terms of pedagogy. Four secondary teachers who were implementing a Grade 10 course in the 2000-2001 school year participated in the study. The qualitative framework supported the researcher's emphasis on examining the participants' perspectives on the implementation of expectation-based curricula. Data collected included transcripts from interviews conducted with teacher participants and a representative of the Ontario Ministry of Education and Training, field notes, and a research journal. Many of the factors often cited in the literature as influencing implementation practices were found to have affected the participants' experiences of curriculum implementation: time, professional development, and teachers' beliefs, particularly concerning students. In addition, the format of the policy documents proved to both control and free teachers during the implementation process. Participants believed that the number of specific expectations did not provide them an opportunity to add content to the curriculum; at the same time, teachers also noted that the general format of the policy document allowed them to direct instruction to match students' needs and their own teaching preferences. Alignment between teachers' beliefs about education and their understanding of the new curriculum affected the ways in which many participants adapted during the implementation process.

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Margaret was an only child who grew up on a farm just east of Cayuga, Ontario. After high school, Margaret attended Hamilton Teacher’s College and took a position with Grantham Public School Board and taught at Power Glen school. Margaret was married in 1962 and had 2 children, a daughter and a son in 1963 and 1964, respectively. Margaret left her teaching job to raise her children. Margaret was very creative and artistic and during this time, focused on these talents, which included painting, graphic arts and sewing. Margaret was also an accomplished pianist. In her 40’s, Margaret enrolled at Brock University and in 1989 obtained a Honors Bachelor of Arts degree with First-Class Honors in Sociology. In partial fulfillment of her Honors B.A. she completed her thesis that is entitled ; The State and Liberal Feminism: The Ontario Government’s “Business Ownership For Women Program”. While living in St. Catharines, Margaret attended York University and graduated with a Master of Arts in Sociology in 1992 where her studies focused on women’s issues. Margaret received a scholarship from York University and was a teaching assistant. Margaret stayed on at York University and completed her academic requirements for a Doctorate degree in Sociology. Her dissertation was on self employed women in St. Catharines at the beginning of WWII -- not the” Rosie the Riveters” who took over jobs formerly held by men who had to go off to fight World War II, but women who ran their own businesses when that was still unusual. Margaret completed the research for her thesis but did not complete her written thesis as she made a difficult decision to put her academic work on hold in the mid-1990’s and she returned to her love for the arts, although she always remained a voracious reader and interested in women’s issues. In the last decade of her life, she took up quilting with a passion, which she referred to as fabric arts. Margaret loved colour and being non-traditional. Margaret had been a quilting instructor at the Flemington College for Fine Arts in Haliburton. In 1997, Margaret founded Project Smile in the St. Catharines region, a non-profit group who make quilts for children with cancer. Margaret was also the President of the Niagara Heritage Quilters’ Guild in 2006-2007 and was very involved with the Local Council of Women.

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This study aimed to uncover the incorporation of transformative pedagogies into the social studies curriculum. This educational approach aims to educate students about a variety of forms of oppression based on race, gender, sexuality, class, ethnicity, and culture, through the use of dialogue to uncover the students' understanding and personal experience with these concepts. This study examined the impact of discussing these topics in a grade 11 class of 22 White students (of various cultural, ethnic, and religious backgrounds). The teacher, Kelvin, and two of his students were interviewed and his class was observed on four occasions over a 2-week period. Based on the data I collected, I argue that a range of emancipatory teaching approaches should be used in critical classroom discourse. These different approaches emphasize the importance of critical thinking, the ability to recognize and combat oppression, the understanding and respect of different cultures, and the ability to recognize the impact of gender and sexuality on the past and present. These are life skills that extend beyond the curriculum (Freire, 1970; Giroux, 1988; hooks, 1994). This study fills a theory to practice gap in the research literature on transformative practice within Canadian contexts. The findings are important for several reasons. Firstly, they illustrated how the teacher's ideology and personal history affect hislher teaching and learning philosophies and approach to teaching. This has implications for the overall classroom environment, what students learn, and how teachers are trained. Secondly, this study provided a glimpse of what transformative pedagogy could look like from a pragmatic standpoint and demonstrated the complexity of using these multiple approaches in the classroom.