The goals of this study were to research the learning difficulties among a group of four pre-university introductory calculus students who were mainly international students studying English as a Second Language (M). The intention was to create a constructivist-style classroom environment in order to determine if it could improve students` knowledge about the use and management of multiple representations (that is, graphical, rum~ symbolic, pictorial, linguistic or diagrammatic approaches for problem representation), increase their classroom communication as a means to improving ability in the modelling of calculus word problems, and to develop, implement and evaluate a teaching package that encouraged the use of multiple representations as a means of improving conceptual understanding. The achievement of these goals was sought by means of the development, implementation and evaluation of a number of calculus extended tasks that encouraged the use of multiple representations. These activities facilitated the compilation of a menu of approaches to the solution of mathematical problems, while the longitudinal nature of the study allowed for the monitoring of student changes in their preferred approach. A traditional calculus curriculum was used for the study, but the instructional emphasis was based more on students' understanding of concepts in a classroom environment utilising a constructivist approach rather than on their memorising computational techniques. Reading, writing, and discussion were emphasised m small group settings to develop language skills and to foster an appreciation of the alternative solution strategies of individual students. / The study was conducted at an International College north of Perth in Western Australia, and the majority of students in the sample were from Non-English-Speaking-Backgrounds (NESB). A range of methods was used to collect qualitative and quantitative data in order to increase the credibility of the research. These methods included audio recordings of structured task-based interviews with each of the four students in the sample; teacher analysis of student worksheets; my classroom observations; the analysis of alternative student conceptions on assessment tasks obtained through post-test interviews, and my personal reflections. Quality controls were employed to ensure the credibility of the data collected. As classroom teacher and principal researcher, it was possible for me to treat each of the four students involved as an individual case study. Descriptive questionnaires were used in order to gain information regarding the course and the use of graphics calculators. The results are applicable to ESL introductory calculus students only, and the nature of the sample implies a number of study limitations detailed in Chapter Five. There was extensive evidence of the benefits of the use of a multi-representational mode and evidence also of the benefits of encouraging the use of a diversity of modes of classroom instruction. Outcomes of the study were qualified by the difficulties ESL students face in coordinating conflicting information and interpreting the language demands of problem presentation. It is expected that this study will assist m extending the knowledge and understanding of the learning difficulties faced by ESL students in the am of pre-university calculus. / Results of this study suggest that instructional material has an important influence on ESL students’ use and management of multiple representations. However, there are often limitations to the influence of the material due to student preferences, mathematical ability and firmly held beliefs as well as on the amount of detail presented in a problem Secondly, small group learning environments based on a constructivist approach were found to influence student ability to model calculus word problems in a positive manner, provided there is teacher support to overcome cognitive obstacles. Finally, it was established that an effective teaching package could be developed to assist ESL students in calculus learning. The teaching package's evaluation highlighted the need for matching language use in problem presentation with the current mathematical language register of each student.

The principle focus of this study has been a reflection on my planning methodology since 1988. Teachers planning from 19882002 was predominantly individual and was aided by the gradual introduction of State and Commonwealth produced documents. These documents assisted in topic choices and assessment outcomes.Important influences transformed my planning. The first occurred in 1996 and the second in 2002. In 1996 I was involved in the production of a resource kit for teachers titled, Its Working Career and Work Education, Kindergarten to Year 8. During the compilation of this resource kit my planning incorporated the 1995, Teaching and Learning in Science Planning Guide, which resembled constructivism by building knowledge and understanding. In 2002 the curriculum in Tasmanian State Schools was transformed with the introduction of the Essential Learnings Framework 1 and 2. This curriculum innovation had implications on teachers planning methodology with a strong emphasis on collaborative planning.Studies and critiques of environmental units were undertaken in 2000, 2003 and 2004 to ascertain the effectiveness of my planning methodology. The underlying principles of constructivism provided a lens to improve perceived deficiencies in my classroom practice. The inclusion of the Constructivist Learning Environment Survey (CLES) assisted in making constructivism visible. A strong purpose therefore evolved from the study; a more effective planning methodology.

This longitudinal study explored the extent to which mathematics education lecturers' constructivist beliefs and aligned practices were communicated to students in a New Zealand primary pre-service teacher education degree programme. An integral part of this exploration was the identification of particular aspects of lecturers' practice that had a significant impact in enhancing the adoption of constructivist ideas on learning and constructivist-aligned teaching practices by student teachers. This goal had a practical focus on more effective course teaching within the chosen philosophical framework of constructivism. At a more theoretical level, there was a focus on the development of a constructivist approach to teacher education for teacher educators through the medium of mathematics education. A potential outcome of the development and widespread adoption of such a constructivist-aligned pedagogy within teacher education could be the significant furthering of a "reform" (or transformative) agenda in school education with its potential for enhanced learning by children. The methodology comprised both quantitative (survey) and qualitative (interview) techniques to collect information which allowed the capture of different but complementary data, so building a "rich" data set. The surveys were conducted using two leaming environment instruments underpinned by particular constructivist perspectives: one focusing on the overall nature of the learning environment at an individual level from a critical constructivist perspective, and the other focusing on the nature of interactions between teacher and student teachers at a classroom level from a socio-cultural constructivist perspective. / Surveys were conducted with the lecturers at the beginning and toward the end of the study, while the student teachers in these lecturers' classes were surveyed over a three year period. The interviews were semi-structured following an interpretative (evolving) research approach, with the "results" of ongoing data analysis being fed into later interviews. The interview data were analysed for personal perceptions and understandings rather than for generalisation and prediction with the intention of focusing on the identification of emergent themes. Interviews were conducted with lecturers at the beginning of the study and again toward its conclusion while student teachers were interviewed at the end of the study. The lecturers claimed constructivism as their underlying philosophical belief system and the initial surveys established baseline data on the actual nature of the lecturers' beliefs and how these were perceived by the student teachers. Similarly, the initial interviews explored the espoused beliefs and congruent practices of lecturers and student teachers. These two sets of data were compared to establish their congruence or otherwise. Further interviews with the lecturers focused on the survey data and my reconstruction of what the lecturers had said previously when interviewed. Later survey and interview data were also examined against the baseline data for evidence of change over the four years of the study. The data demonstrated that the student teachers perceived the existence of moderate to strong socio-cultural constructivist-aligned classroom environments when considered at a class (group) level, and a moderate alignment with critical perspectives at the individual (personal) level. / There was a high degree of consistency between staff and student teacher views, and the student teachers' views were consistent across the year groups (first, second and third years) and throughout the four years of the study. Lecturer practice(s) congruent with constructivism were the basis for student teacher change toward understanding and their adoption of constructivist ideas and aligned practices. Specific lecturer practices were identified as particularly effective in achieving such change. These effective lecturer practices may assist in establishing the foundations of a constructivist-aligned pedagogy for teacher education. The lecturers' modeling of the practices they were promoting for student teachers' practice was identified as a key element in promoting change. Indeed, the tension between traditional and transfornative approaches was exacerbated in situations where lecturers' promotion of a preferred practice was different from that which they enacted. The continuing existence of such situations and associated tensions has the potential to limit the extent of any change.

This thesis explores senior high school student learning in biology in Taiwan. The Confucian-heritage culture and beliefs associated with high stakes examinations influences the learning context in biology. There is a considerable body of international research on teaching and learning in senior high biology. There appears to be limited research on student and teacher views of learning in biology in this context. A social constructivist view of learning underpins this study. Using an interpretive paradigm, this study explores student and teacher perceptions of student learning experiences in senior high school biology. There are three phases in this study. In the first phase, Grade 11 and Grade 12 students and teacher perceptions of the existing teaching and learning situation in biology was explored. In the second phase, an intervention was designed and implemented for Grade 12 students. In the third phase, the intervention was evaluated. The findings of this study indicate that most students take biology to increase their options for entering tertiary education. Noticeably, they were using learning approaches that they most disliked to increase their biology marks. Most of them considered the current biology classes were very effective in coping with the major examination, but the teaching was monotonous and teaching content as seemingly unrelated to real life. The teachers perceived that student learning was passive, which contributed to the teachers feeling of exhaustion. Qualitative and quantitative data indicated that both the students and teachers were dissatisfied with the current teaching and learning situation. A more interactive teaching and learning approach and more student responsibility in investigations were suggested by the respondents. An intervention programme based on a social constructivist view of learning, including interactive teaching and open investigation, was designed and implemented. The intervention (70% lecture classes and 30% experiment classes) problematised the traditional lesson structure (90% lecture classes and 10% experiment classes) of senior biology in Taiwan, seeking a more cohesive and integrated overall structure for learning biology. Evaluation of the intervention programme suggested that through student-teacher and student-student interactions student conceptual and procedural understanding of biology was facilitated and their attitudes towards learning were enhanced. A few of the students could not accept the intervention as it conflicted with their view of learning in an examination culture. The implications of this research are that more teacher-student and peer interactions and open-ended investigations can lead to enhanced learning in biology in Taiwan for most senior high school students. Social constructivist approaches to teaching and learning are viable in a Taiwanese biology classroom context. The study also showed the potential for open investigations in this context.

As a result of two years working with the pre-service primary teachers in a College in Fiji I became aware of the difficulty many of the students were having understanding the primary school mathematics they would be required to teach. During that time I had attempted to help them overcome the difficulties by using different teaching approaches and activities but was far from satisfied with my efforts. Hence I decided to make a concerted effort to help the students by planning, implementing and partially evaluating a mathematics education unit, known as the Teaching Program for the first semester of their course. This work formed the basis of my study. For the Teaching Program I chose a constructivist teaching approach with number sense as the underlying theme. To examine the aspects of the Program I used my observations and those of the students especially ones reported in their mathematics journals. To evaluate the effectiveness of the Teaching Program I collected and analysed quantitative data from traditional testing of the class of forty students as well as data from case studies of six of the pre-service teachers in the class. To determine what features of the Teaching Program were linked to positive changes my main source of data was the case studies, especially entries from their journal writings. The findings suggested that a significant development of the cognitive aspects of the students’ number sense did occur during the time of the Teaching Program but not as much as was hoped for. As a result of the analysis of the data I came to a greater realisation of the importance of the non-cognitive aspects of number sense and the necessity for a greater consideration of them in the development of a Program. I also realise now that a major development that did occur was in my understanding of the knowledge and learning of mathematics. My ideas of a teaching paradigm of social constructivism had not guided me sufficiently to incorporate activities and procedures to develop the non-cognitive aspects. I suggest that a paradigm which extends the theory of social constructivism to give greater consideration of these aspects of learning in general, and hence numeracy and number sense in particular, was needed. As a result of this study, my introduction to the theory of enactivism appears to be giving me some direction in this search at this stage.

The purpose of this study was to examine the impact of constructivist learning process on preservice teacher education students&amp / #65533 / performance, retention, and attitudes in Classroom Management Course. In this study, an experimental design and a case study design were used together. The sample (n = 144) were third year preservice teachers at the Foreign Languages Education program at Middle East Technical University, Turkey. The experimental group (n = 76) was subjected to social constructivist learning process, while the control group (n = 68) was subjected to traditional instruction for eleven weeks. Data were collected through qualitative and quantitative methods. Findings show that posttest scores were not statistically different between the experimental and the control groups. However, a significant difference was found in the retention scores in favor of the experimental group. The conceptual change the learners went through was evident in their metaphorical images which tend to change from a more controlling image to images that depict leadership, sensitivity to individual differences, and student learning. Descriptive findings indicate that retention was fostered through constructivist activities that mainly included reflective writing, critical thinking, and problem solving. Factors such as active learning, meaningful and enjoyable learning environment, and the attitudes of instructors had a positive impact on student learning. Nevertheless, the load of reflective diary writing and portfolio preparation tasks, and collaborative work could be overwhelming and discouraging and these impacted negatively on learners&amp / #65533 / attitudes towards the course.

Current curriculum trends promote inquiry-based student-centered strategies as a way to foster critical thinking and learning. Problem-based learning (PBL), a type of inquiry focusing on an issue or “problem,” is an instructional approach taught on the basis that science reform efforts increase scientific literacy. PBL is a constructivist approach to learning real life problems where understanding is a function of content, context, experiences, and learner goals; historical PBL situates the lesson in a historical context and provides opportunities for teaching NOS concepts. While much research exists on the benefits of historical PBL to student learning in general, more research is warranted on how teachers implement PBL in the secondary science curriculum. The purpose of this study was to examine the classroom-learning environment of four science teachers implementing a historical PBL instructional unit to identify the teachers’ understandings, successes and obstacles. By identifying teachers’ possible achievements and barriers with implementing a constructivist philosophy when executing historical PBL, educators and curriculum designers may improve alignment of the learning environment to constructivist principles. A qualitative interpretive case study guided this research study. The four participants of this study were purposefully and conveniently selected from biology teachers with at least three years of teaching experience, degrees in education, State Licensure, and completion of a PBL workshop. Data collection consisted of pre and post questionnaires, structured interviews, a card sort activity in which participants categorized instructional outcomes, and participant observations. Results indicated that the four teachers assimilated reform-based constructivist practices to fit within their preexisting routines and highlighted the importance of incorporating teachers’ current systems into reform-based teacher instruction. While participating teachers addressed a few NOS tenets, emphasizing the full range of possible NOS objectives included in historical PBL is warranted. This study also revealed the importance of creating a collaborative classroom culture and building positive student-teacher relationships when implementing PBL instruction. The four teachers agreed that the historical PBL instructional unit provided a context for learning state standards, and they positively viewed their experiences teaching the lesson. Thus findings from this study suggest that teaching science in a historical context using PBL can be effective.

This study investigated whether and in what ways a learner-centered instrumental music education classroom environment may nurture musical growth and independence. The mixed-methods design incorporated quantitative and qualitative measures to compare performance outcomes, musical growth, and learner and teacher dispositions in learner-centered and teacher-centered middle school orchestra classrooms. Quantitative measures included a Performance Assessment Instrument and a researcher-designed survey of student perceptions and attitudes. Qualitative measures included classroom observation, student and teacher interviews, and teacher journal entries. Research participants were four teachers, two of whom taught using a teacher-centered approach, and two of whom were oriented to learner-centered classroom strategies through a professional development program taught by the researcher. The teachers implemented learner-centered or teacher-centered environments in four intact classrooms that included 155 student participants. Learner-centered methods were based on democratic (Dewey, 1938; Woodford, 2005) and constructivist (Vygotsky, 1978; Wiggins, 2001) principles as well as research and pedagogical literature detailing the characteristics of learner-centered classrooms (McCombs & Whisler, 1997; Schuh, 2004). These included peer tutoring and collaboration; student conducting, solicitation and incorporation of student input; and facilitation of student leadership. I found no differences in music performance outcomes between learner-centered and teacher-centered ensembles. However, learner-centered students exhibited increased musical growth and greater musical independence as compared with students in the teacher-centered environment, and indicated higher perceptions than teacher-centered students of choice and leadership opportunities in their classrooms. Learner-centered teachers reported increased engagement and leadership skills from their students. Results of this study indicate that music ensemble teachers can incorporate a learner-center classroom environment that engages students musically, promotes independence and leadership, and involves students in higher order thinking while attaining performance standards at or above those expected of middle-school orchestra students.

The purpose of this research is to analyze the People’s Republic of China’s foreign policy towards the Democratic People’s Republic of Korea. In order to analyze the People’s Republic of China’s foreign policy towards the Democratic People’s Republic of Korea, the author will take advantage of the constructivist approach and from that view the author will give the three specific issue areas to look at the People’s Republic of China’s foreign policy towards the Democratic People’s Republic of Korea, the nuclear weapon program, the possible reunification of two Koreas, the changed leadership in North Korea, respectively. Through these three specific issue areas, we can go tohave a general understanding about what is the People’s Republic of China’s governments’foreign policy towards the Democratic People’s Republic of Korea.  The conclusion will be made on the basis of the three specific events and through that we can realize and conclude the standpoints of the People’s Republic of China’s foreign policy on the Democratic People’s Republic of Korea.

The number of American students with insufficient post-secondary mathematical abilities is increasing and the related rate of student attrition increases alongside the upsurge in college developmental programs. As a consequence, the demand for quality remedial mathematics classes is also growing. Institutions that place learners into remedial classes must also fund these same programs and are increasingly faced with disgruntled students, the appearance of having lower standards, and a demoralized faculty. The legal implications concerning placement and access have gone as far as litigation over student rights. The threat of performance based funding means that educational institutions are in need of demonstrably effective mathematical remediation techniques. This study examines the effect of pedagogical style for college-level remedial mathematics students and the effect of the chosen assessment method in determining student success. Specifically, this study explains student achievement for college students exposed to a pedagogical style from either the constructivist or behaviorist foundation as measured with short-answer, rote-knowledge questions and with long-answer, deductive-reasoning questions. Furthermore, consideration of student self-efficacy is investigated in order to account for any variation in instructional method. Ultimately, this study describes the effects of both instruction type and assessment method on the success of college-level remedial mathematics students. The findings in this study reveal quality teaching is of paramount importance in educating the remedial college student. Students from both methods, with instruction being performed with high fidelity, demonstrated statistically significant improvement over the semester. Moreover, the findings in this study further reveal that remedial students with strong reasons to succeed (combined with the quality teaching method) find success in the developmental mathematics classroom regardless of assessment method. In fact, though students tend to score higher on short-answer questions than extended-answer questions, the amount of improvement after a semester of quality teaching is nearly equal in question types under both instructional methods.