786 resultados para School algebra and academic algebra


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The focus of the present work was on 10- to 12-year-old elementary school students’ conceptual learning outcomes in science in two specific inquiry-learning environments, laboratory and simulation. The main aim was to examine if it would be more beneficial to combine than contrast simulation and laboratory activities in science teaching. It was argued that the status quo where laboratories and simulations are seen as alternative or competing methods in science teaching is hardly an optimal solution to promote students’ learning and understanding in various science domains. It was hypothesized that it would make more sense and be more productive to combine laboratories and simulations. Several explanations and examples were provided to back up the hypothesis. In order to test whether learning with the combination of laboratory and simulation activities can result in better conceptual understanding in science than learning with laboratory or simulation activities alone, two experiments were conducted in the domain of electricity. In these experiments students constructed and studied electrical circuits in three different learning environments: laboratory (real circuits), simulation (virtual circuits), and simulation-laboratory combination (real and virtual circuits were used simultaneously). In order to measure and compare how these environments affected students’ conceptual understanding of circuits, a subject knowledge assessment questionnaire was administered before and after the experimentation. The results of the experiments were presented in four empirical studies. Three of the studies focused on learning outcomes between the conditions and one on learning processes. Study I analyzed learning outcomes from experiment I. The aim of the study was to investigate if it would be more beneficial to combine simulation and laboratory activities than to use them separately in teaching the concepts of simple electricity. Matched-trios were created based on the pre-test results of 66 elementary school students and divided randomly into a laboratory (real circuits), simulation (virtual circuits) and simulation-laboratory combination (real and virtual circuits simultaneously) conditions. In each condition students had 90 minutes to construct and study various circuits. The results showed that studying electrical circuits in the simulation–laboratory combination environment improved students’ conceptual understanding more than studying circuits in simulation and laboratory environments alone. Although there were no statistical differences between simulation and laboratory environments, the learning effect was more pronounced in the simulation condition where the students made clear progress during the intervention, whereas in the laboratory condition students’ conceptual understanding remained at an elementary level after the intervention. Study II analyzed learning outcomes from experiment II. The aim of the study was to investigate if and how learning outcomes in simulation and simulation-laboratory combination environments are mediated by implicit (only procedural guidance) and explicit (more structure and guidance for the discovery process) instruction in the context of simple DC circuits. Matched-quartets were created based on the pre-test results of 50 elementary school students and divided randomly into a simulation implicit (SI), simulation explicit (SE), combination implicit (CI) and combination explicit (CE) conditions. The results showed that when the students were working with the simulation alone, they were able to gain significantly greater amount of subject knowledge when they received metacognitive support (explicit instruction; SE) for the discovery process than when they received only procedural guidance (implicit instruction: SI). However, this additional scaffolding was not enough to reach the level of the students in the combination environment (CI and CE). A surprising finding in Study II was that instructional support had a different effect in the combination environment than in the simulation environment. In the combination environment explicit instruction (CE) did not seem to elicit much additional gain for students’ understanding of electric circuits compared to implicit instruction (CI). Instead, explicit instruction slowed down the inquiry process substantially in the combination environment. Study III analyzed from video data learning processes of those 50 students that participated in experiment II (cf. Study II above). The focus was on three specific learning processes: cognitive conflicts, self-explanations, and analogical encodings. The aim of the study was to find out possible explanations for the success of the combination condition in Experiments I and II. The video data provided clear evidence about the benefits of studying with the real and virtual circuits simultaneously (the combination conditions). Mostly the representations complemented each other, that is, one representation helped students to interpret and understand the outcomes they received from the other representation. However, there were also instances in which analogical encoding took place, that is, situations in which the slightly discrepant results between the representations ‘forced’ students to focus on those features that could be generalised across the two representations. No statistical differences were found in the amount of experienced cognitive conflicts and self-explanations between simulation and combination conditions, though in self-explanations there was a nascent trend in favour of the combination. There was also a clear tendency suggesting that explicit guidance increased the amount of self-explanations. Overall, the amount of cognitive conflicts and self-explanations was very low. The aim of the Study IV was twofold: the main aim was to provide an aggregated overview of the learning outcomes of experiments I and II; the secondary aim was to explore the relationship between the learning environments and students’ prior domain knowledge (low and high) in the experiments. Aggregated results of experiments I & II showed that on average, 91% of the students in the combination environment scored above the average of the laboratory environment, and 76% of them scored also above the average of the simulation environment. Seventy percent of the students in the simulation environment scored above the average of the laboratory environment. The results further showed that overall students seemed to benefit from combining simulations and laboratories regardless of their level of prior knowledge, that is, students with either low or high prior knowledge who studied circuits in the combination environment outperformed their counterparts who studied in the laboratory or simulation environment alone. The effect seemed to be slightly bigger among the students with low prior knowledge. However, more detailed inspection of the results showed that there were considerable differences between the experiments regarding how students with low and high prior knowledge benefitted from the combination: in Experiment I, especially students with low prior knowledge benefitted from the combination as compared to those students that used only the simulation, whereas in Experiment II, only students with high prior knowledge seemed to benefit from the combination relative to the simulation group. Regarding the differences between simulation and laboratory groups, the benefits of using a simulation seemed to be slightly higher among students with high prior knowledge. The results of the four empirical studies support the hypothesis concerning the benefits of using simulation along with laboratory activities to promote students’ conceptual understanding of electricity. It can be concluded that when teaching students about electricity, the students can gain better understanding when they have an opportunity to use the simulation and the real circuits in parallel than if they have only the real circuits or only a computer simulation available, even when the use of the simulation is supported with the explicit instruction. The outcomes of the empirical studies can be considered as the first unambiguous evidence on the (additional) benefits of combining laboratory and simulation activities in science education as compared to learning with laboratories and simulations alone.

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This study addresses the question of teacher educators’ conceptions of mathematics teacher education (MTE) in teacher colleges in Tanzania, and their thoughts on how to further develop it. The tension between exponents of content as opposed to pedagogy has continued to cause challenging conceptual differences, which also influences what teacher educators conceive as desirable in the development of this domain. This tension is connected to the dissatisfaction of parents and teachers with the failure of school mathematics. From this point of view, the overall aim was to identify and describe teacher educators’ various conceptions of MTE. Inspired by the debate among teacher educators about what the balance should be between subject matter and pedagogical knowledge, it was important to look at the theoretical faces of MTE. The theoretical background involved the review of what is visible in MTE, what is yet to be known and the challenges within the practice. This task revealed meanings, perspectives in MTE, professional development and assessment. To do this, two questions were asked, to which no clear solutions satisfactorily existed. The questions to guide the investigation were, firstly, what are teacher educators’ conceptions of MTE, and secondly, what are teacher educators’ thoughts on the development of MTE? The two questions led to the choice of phenomenography as the methodological approach. Against the guiding questions, 27 mathematics teacher educators were interviewed in relation to the first question, while 32 responded to an open-ended questionnaire regarding question two. The interview statements as well as the questionnaire responses were coded and analysed (classified). The process of classification generated patterns of qualitatively different ways of seeing MTE. The results indicate that MTE is conceived as a process of learning through investigation, fostering inspiration, an approach to learning with an emphasis on problem solving, and a focus on pedagogical knowledge and skills in the process of teaching and learning. In addition, the teaching and learning of mathematics is seen as subject didactics with a focus on subject matter and as an organized integration of subject matter, pedagogical knowledge and some school practice; and also as academic content knowledge in which assessment is inherent. The respondents also saw the need to build learner-educator relationships. Finally, they emphasized taking advantage of teacher educators’ neighbourhood learning groups, networking and collaboration as sustainable knowledge and skills sharing strategies in professional development. Regarding desirable development, teacher educators’ thoughts emphasised enhancing pedagogical knowledge and subject matter, and to be determined by them as opposed to conventional top-down seminars and workshops. This study has revealed various conceptions and thoughts about MTE based on teacher educators´ diverse history of professional development in mathematics. It has been reasonably substantiated that some teacher educators teach school mathematics in the name of MTE, hardly distinguishing between the role and purpose of the two in developing a mathematics teacher. What teacher educators conceive as MTE and what they do regarding the education of teachers of mathematics revealed variations in terms of seeing the phenomenon of interest. Within limits, desirable thoughts shed light on solutions to phobias, and in the same way low self-esteem and stigmatization call for the building of teacher educator-student teacher relationships.

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Inter-individual differences in the phase of the endogenous circadian rhythms have been established. Individuals with early circadian phase are called morning types; those with late circadian phase are evening types. The Horne and Östberg Morningness-Eveningness Questionnaire (MEQ) is the most frequently used to assess individual chronotype. The distribution of MEQ scores is likely to be biased by several fact, ors, such as gender, age, genetic background, latitude, and social habits. The objective of the present study was to determine the effect of different social synchronizers on the sleep/wake cycle of persons with different chronotypes. Volunteers were selected from a total of 1232 UFPR undergraduate students who completed the MEQ. Thirty-two subjects completed the study, including 8 morning types, 8 evening types and 16 intermediate types. Sleep schedules were recorded by actigraphy for 1 week on two occasions: during the school term and during vacation. Sleep onset and offset times, sleep duration, and mid-sleep time for each chronotype group were compared by the Mann-Whitney U-test separately for school term and vacation. School term and vacation data were compared by the Wilcoxon matched-pair test. Morning types showed earlier sleep times and longer sleep duration compared with evening types (23:00 ± 44 and 508.9 ± 50.27 vs 01:08 ± 61.95 and 456.44 ± 59.08, for the weekdays during vacation). During vacation, the subjects showed later sleep times, except for the morning types, who did not exhibit differences for sleep onset times. The results support the idea that social schedules have an impact on the expression of circadian rhythmicity but this impact depends on the individual chronotype.

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Ontology matching is an important task when data from multiple data sources is integrated. Problems of ontology matching have been studied widely in the researchliterature and many different solutions and approaches have been proposed alsoin commercial software tools. In this survey, well-known approaches of ontologymatching, and its subtype schema matching, are reviewed and compared. The aimof this report is to summarize the knowledge about the state-of-the-art solutionsfrom the research literature, discuss how the methods work on different application domains, and analyze pros and cons of different open source and academic tools inthe commercial world.

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This study explores the tension that has emerged around the rise of home schooling in a faith-community strongly committed to establishing and maintaining day schools in the tradition of John Calvin. It aims to identify and understand factors that contributed to this tension and to find ways to bridge, diffuse, reduce, or eliminate it. In line with Calvin, personal convictions, and the nature of the community, the study takes a Christian epistemological and axiological stance. Its premise is that the integrity of the commvmity is more important than the manner in which its children are taught. The study reviews relevant literature and several interviews. It considers both secular and Christian literature to understand communities, community breakdown, and community restoration. It also examines literature about the significance of home, school, and community relationships; the attraction of Reformed day schools; and the appeal of home schooling. Interviews were conducted with 4 home schooling couples and 2 focus groups. One focus group included local school representatives, and the other home schoolers and school representatives from an area with reputedly less tension on the issue. Interviews were designed for participants to give their perspectives on reasons for home schooling, the existing tension, and ways to resolve the issues. The study identifies the rise of home schooling in this particular context as the initial issue and the community's deficiency to properly deal with it as the chief cause for the rising tensions. However, I argue that, within the norms the community firmly believes in, home schooling need not jeopardize its integrity. I call for personal, social, and spiritual renewal to restore the covenant community in gratitude to God.

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Strategies designed to improve educational systems have created tensions in school personnel as they struggle to respond to competing demands of ongoing change within their daily realities. The purpose of this case study was to investigate how teachers and administrators in one elementary school made sense ofthese tensions and to explore the factors that constrained or shaped their responses. A constructive interpretative case study using a grounded theory approach was used. Qualitative data were collected through document analysis, semi-structured interviews, and participant observation. In-depth information about teachers' and administrators' experiences and a contextual understanding oftension was generated from inductive analysis of the data. The study found that tension was a phenomenon situated in the context in which it arose. A contextual understanding of tension revealed the interactions between the institutional, personal, and emotional domains that continually shaped individual and group behavioural responses. This contextual understanding of tension provided the means to reinterpret resistance to change. It also helped to show how teachers and administrators reconstructed identities and made sense in context.. Of particular note was the crucial nature of the conditions under which teachers and adlninistrators shaped meaning and understood change. This study sheds light on the contextual intricacies of tension that may help leaders with the complex design and implementation of educational change..

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School leaders face difficult decisions regarding discipline matters. Often, such decisions play an important role in determining the moral tone of the school and the health of the school community. Many stakeholders are affected by the outcome of such decisions. Codes of conduct, board and school policies, and discipline meetings are often shrouded under secrecy, making the discipline process mysterious. .; In this study I examined the process of moral reasoning. I sought to determine the extent to which school leaders were aware that they were involved in a process of moral reasoning, and ftirthermore, what kind of moral reasoning they practiced. As well, I investigated the ethical grounds and foundations underlying moral reasoning. Thus, in this study I probed the awareness of the process of moral reasoning and sought to find the ethical grounding of decision making. This qualitative study featured short field research. The process involved individual interviews with three different participants: school leaders of a public. Catholic, and an independent school. It found that each school leader practiced moral reasoning to varying degrees through the discipline process. It also explored the possible democratization of moral reasoning by linking to concepts such as fairness, due process, public accountability, and greater participation in the administering of discipline. This study has implications for practice, theory, and future research. The examination of school leaders as the primary focus for discipline matters opens the door to future research that could explore differences between the school systems and possibly other parties affected by moral reasoning in discipline cases.

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This study examined the interrelationships among life satisfaction, job satisfaction, and happiness and the selected demographic variables of income, age, marital status, education, sex, job tenure, job title, type of school, and location of employment. Survey data were collected from 1,993 elementary, high school, and community college teachers in the southern Ontario area, representing ten public school boards, three Roman Catholic school boards and three community colleges. Several theories were utilized in developing thirteen hypotheses and eleven experimental hypotheses. A thorough review of the literature (to January, 1980) was undertaken and major conclusions noted. Hoppock's (1935) Job Satisfaction Measure, Gurin, Veroff, and Feld's (1960) Happiness Scale, and Converse and Robinson's (1965) Life Satisfaction Scale were used as the instrument. Chi-square analysis was employed as the statistical method. Indicative of the findings: the level of education taught was significantly related to all three organizational variables, sex was unrelated to life satisfaction though positively related to job satisfaction, and income was found not to be related to either happiness or life satisfaction. A minority of findings were contrary to hypothesized relationships. Specifically, age was found to be unrelated to any of the three organizational variables, and educational achievement was not significantly related to happiness. A model was developed to illustrate the interrelationships of the organizational and demographic variables. This model was designed specifically to reflect teacher attitudes, though it may have reasonable application for other relatively homogeneous groups of employees such as nurses, engineers, or social workers.

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ADeweyan (1916) democratic theoty ofeducation called for the participation ofall citizens in deliberating important educational issues to improve overall student learning. Thus, the move to include parents in educational decision making can be considered to be rooted in democratic principles. To gain greater insight into the issue ofparent involvement in educational decision making, one elementary school was studied and a triangulization method was employed in an attempt to clarify the important issues surrolUlding the move to include parents in the governance ofschools. The three methods to gain information included surveys, interviews, and documentation ofsignificant school events and related work. All ofthe parents and teachers ofthe school were surveyed, 10 parents and 6teachers were interviewed, and related school events were recorded. The survey design was modeled on the Parent Involvement Questionnaire (PIQ) created and reported on by Chavkin and Williams (1987). The results ofthe surveys were used as a guide for the interview questions. An interview outline was developed based on Seidman's (1991) open-ended approach and Patton's (1980) standardized open-ended interview style in which parents and teachers were asked about their experiences and opinions on anmnber ofparent involvement issues. Parents and teachers in this school indicated agreater interest in becoming more aware ofeducational issues such as school budget and school discipline policies. Although the parents indicated agreater interest in school matters and the teachers indicated awillingness to include parents in school matters, both the parents and teachers in this study perceived the role ofthe parent as advisory, not decision making. It was concluded that to ensure ameaningful and functional role for parellts as tlleir p811icipatioll ill educational matters evolves, SCllools must have a clear vision ofthe primary goal ofall schools, namely, to foster and nourish democratic citizens for ademocratic society (Glickman, 1993). Furthennore, intentional practices such as Purkey's (ad) 5-P Relay approach, based on a democratic theory and practice of education, will have to be employed in order to give parents an authentic voice in educational matters and provide an avenue for parents to acquire the necessary skills and lmowledge needed to do so. As schools, school boards, and the Ministry ofEducation implement parent involvement guidelines and policies, developmental needs ofeach school need to be considered to ensure the employment ofdemocratic practices not authoritarian mandates. Parent interest and involvement, at whatever level, should be an important element in the overall move to make schools part ofthe democratic society they were meant to be.

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Seventy-five principals and vice-.wincipals from public elementary and secondary schools in Hamilton, Ontario, Canada participated in this study. Participants provided ,information concerning their thinking styles, motivations, and the physical effects of stress. This information was examined to find out how satisfaction-oriented, and how security-oriented the thinking styles of the participants were. Second, the data were analysed to see how the thinking style orientations related to life style habits and the effects of stress. The satisfaction-oriented thinking styles scored higher than all of the security-oriented thinking styles by a wide margin with a small preference for the satisfaction-people-oriented styles labelled humanistic-helpful, and affiliative as opposed to the satisfaction-task-oriented styles labeled achievement, and self-actualizing. Although all eight of the security-oriented thinking styles scored well below all of the satisfaction-oriented thinking styles on the Life Styles Inventory, the perfectionistic style scored higher than all of the security-oriented styles by an impressive margin. The next highest scores were recorded by a cluster of three passive-defensive people-oriented thinking styles labeled approval, conventional, and dependent. The competitive style scored lower, and the styles labeled avoidance, oppositional, and power scored the lowest of all the defensive-security-oriented styles. These findings suggest that principals and vice-principals see themselves as relaxed, flexible, and satisfied with their ability to adapt to the stress levels they experience in their lives; however, there was some support for medical research findings that suggest that specific security-oriented thinking styles are associated with emotional stresses that contribute to the development of specific lifestyle habits, physical symptoms, and illnesses. Although the number of females in this study provides very limited generalizability, the findings of this study suggest that high achieving females tend to develop satisfaction-growth styles to a higher level than males, and they tend to use security-oriented styles to a lesser degree than males.

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Six lefthanded artist-educators were interviewed to attempt to discover any patterns t6 their perceptions and experiences. Artists have their own culture and priorities. According to the literature, lefthanded people appear more likely to suffer from dyslexia, allergies, asthma and other auto-immune diseases as well as machinery and equipment injuries. Patterns emerging suggested that lefthanded people indeed suffer more from dyslexia. More startling was the distinct possibility that many artists have traumatic childhood histories. This would commonly include negative school experiences, and for a significant number sexual assault, perceived or actual abandonment by parents, and/or consistently low selfesteem. The researcher discovered possible reasons why creative people frequently have problems at school, why they tend to be rebellious and anti-establishment oriented, how many of them perceive societal rules, and why they are more likely to be lefthanded. These characteristics all have significant implications for art school administrators.

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This study examined the effectiveness of motor-encoding activities on memory and performance of students in a Grade One reading program. There were two experiments in the study. Experiment 1 replicated a study by Eli Saltz and David Dixon (1982). The effect of motoric enactment (Le., pretend play) of sentences on memory for the sentences was investigated. Forty Grade One students performed a "memory-for-sentences" technique, devised by Saltz and Dixon. Only the experimental group used motoric enactment of the sentences. Although quantitative findings revealed no significant difference between the mean scores of the experimental group versus the control group, aspects of the experimental design could have affected the results. It was suggested that Saltz and Dixon's study could be replicated again, with more attention given to variables such as population size, nature of the test sentences, subjects' previous educational experience and conditions related to the testing environment. The second experiment was an application of Saltz and Dixon's theory that motoric imagery should facilitate memory for sentences. The intent was to apply this theory to Grade One students' ability to remember words from their reading program. An experimental gym program was developed using kinesthetic activities to reinforce the skills of the classroom reading program. The same subject group was used in Experiment 2. It was hypothesized that the subjects who experienced the experimental gym program would show greater signs of progress in reading ability, as evidenced by their scores on Form G of the Woodcock Reading Mastery Test--Revised. The data from the WRM--R were analyzed with a 3-way split-plot analysis of variance in which group (experimental vs. control) and sex were the between subjects variables and test-time (pre-test vs. post-test) was the within-subjects variable. Findings revealed the following: (a) both groups made substantial gains over time on the visual-auditory learning sub-test and the triple action of group x sex x time also was significant; (b) children in the experimental and control groups performed similarly on both the pre- and post-test of the letter identification test; (c) time was the only significant effect on subjects' performance on the word identification task; (d) work attack scores showed marked improvement in performance over time for both the experimenta+ and control groups; (e) passage comprehension scores indicated an improvement in performance for both groups over time. Similar to Experiment 1, it is suggested that several modifications in the experimental design could produce significant results. These factors are addressed with suggestions for further research in the area of active learning; more specifically, the effect of motor-encoding activities on memory and academic performance of children.

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This pilot study developed a climate instrument which was administered in a sample of high schools in one board of education. Several tests were conducted i n order to determine the reliability and internal consistency of the instrument . The ability of the instrument to identify the demographic differences of school and gender was also tested. The relationship between leadership styles and an effective use of authority in creating a productive and rewarding work environment was the f ocus of t his study. Attitudes to leadership and perceived school morale were investigated in a demographic study, a climate survey, as well as a body of related literature. In light of the empirical research, an attempt was made to determine the extent to which the authority figure's behaviour and adopted leadership style contributed to a positive school climate : one in which t eachers were motivated to achieve to t he best of their abilities by way of their commitment and service. The tone of authority assumed by t he leader not only shapes the mood of the school environment but ultimately determines the efficiency and morale of t he teaching staff.

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A sample of 50 male and female subjects ranging in age from 12 to 73 were divided into three groups according to the scale of maturity of moral judgment developed by Lawrence Kohlberg. Subjects were also tested on a measure of creativity developed by Torrance after the formulations of Guilford in order to test the hypothesis that the re^- lationship between creativity and maturity of moral judgment is curvilinear. Researchers have failed to develop any working hypothesis concerning the relationship between creativity and moral judgment or postulate any consistent theoretical framework concerning the possible relationship between these two constructs. The empirical investigation involved a scientific testing of a random selection of elementary subjects9 high school adolescents, and creative adults. Tests included Kohlberg8s Moral dilemmas and Guilford's Product Improvement Task. A trend analysis was conducted to reveal whether or not a curvilinear relationship existed between the independent variable (Moral Maturity Stages) and the de~ pe dent variable (creativity performance under each level). Curvilinear trends were observed in two out of four creativity subscales but were not statistically significant. It was concluded that these contradictory findings were due to the relatively small number of subjects tested, the narrow range or moral judgment scores, and the limited conception of creativity defined by the creativity measure used (The Product Improvement Task). It was suggested that an instrument assessing an identity status would be most useful as well as a creativity measure better suited for a theory of creativity essentially developmental in perspective.

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Four secondary school teachers were involved in this case study. Individual interviews, group reflective sessions, and participant portfolios were transcribed verbatim and analyzed. The use of the portfolio in the secondary school classroom was then discussed in relation to emergent themes. These themes included teacher attitude, portfolio structure, portfolio purpose, challenges, effect, and professional development. Teachers were able to individualize the portfolio structure to meet both program and students' needs. The portfolio structure enabled both teachers and students to assume control over the learning process. The portfolio informed teachers about their teaching. This, in tum, challenged them to reflect on their teaching practices and enabled them to redesign curriculum implementation. A collaborative professional development structure fostered a learning environment that enabled teachers to experience success, despite the challenges that they inevitably encountered. These findings were related to contemporary literature. Finally, implications for theory and practice related to portfolio use in the secondary school classroom and professional development for secondary school teachers were considered.