995 resultados para A-level Mathematics


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Mathematics has been perceived as the core area of learning in most educational systems around the world including Sri Lanka. Unfortunately, it is clearly visible that a majority of Sri Lankan students are failing in their basic mathematics when the recent grade five scholarship examination and ordinary level exam marks are analysed. According to Department of Examinations Sri Lanka , on average, over 88 percent of the students are failing in the grade 5 scholarship examinations where mathematics plays a huge role while about 50 percent of the students fail in there ordinary level mathematics examination. Poor or lack of basic mathematics skills has been identified as the root cause.

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The common question of why the tetrahedral angle is 109.471° can be answered using a tetrahedron-in-a-cube, along with some Year 10 level mathematics. The tetrahedron-in-a-cube can also be used to demonstrate the non-polarity of tetrahedral molecules, the relationship between different types of lattice structures, and to demonstrate that inductive reasoning does not always provide the correct answer.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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In this action research study of recent graduates from my district, I investigated their level of readiness for college-level mathematics courses. I discovered that the students have a wide variety of experiences in college. There are many factors that determine success in college mathematics courses. These factors include size of college, private or public, university or community college. Other factors include students’ choice of major, maturity level, and work ethic. As a result of this research, I plan to raise the individual expectations in my classroom. It is our duty as high school educators to prepare the students for a wide variety of experiences in college. We cannot control where the students attend college or what they study. High schools need to prepare the students for all possibilities and ensure that they have a solid knowledge of the baseline mathematics skills.

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The purpose of this dissertation was to examine the effect of academic integration, defined in terms of instructor/student contact, on the persistence of under-prepared college students and the achievement of those who persist. The overall design of this study compared instructor-initiated contact with conventional contact. The dependent variables were persistence, achievement, motivation and anxiety. Information was collected by administering the College-Level Mathematics Test (CLM), the Perceived Affective Contact Questionnaire (PAC), the expectancy and anxiety components of the Motivated Strategies for Learning Questionnaire (MSLQ), a departmental final examination, and by accessing university records. The sample consisted of 130 college algebra students at a large, public university with a Hispanic majority. The main analyses consisted of a 2 x 2 x 2 ANOVA (treatment by ethnicity by gender) to test for differences in achievement, t-tests to compare motivation, anxiety and perceived affective contact scores for the two groups, Chi-square tests to assess differences in persistence, and Pearson Product-Moment Correlation to determine the relationship between pretest scores and achievement variables. Results indicated that neither instructor-initiated contact, gender nor ethnicity is related to persistence, motivation or anxiety. A significant disordinal interaction of treatment and ethnicity was observed, with Hispanic experimental students scoring significantly higher on a test of algebra achievement than Hispanic control students. ^ Academic integration, defined in terms of instructor/student contact, has a positive influence on the achievement of Hispanic students. This may imply their positive responsiveness to the relational aspect of contact due to traditional cultural values of interdependence, acquiescence to authority and physical closeness. Such interactive feedback is a means by which students with these values are recognized as members of the university academic community, prompting increased academic effort. Training in contact initiation to promote academic integration is implied, by the results of this study, for instructors dealing with first year students, especially instructors at institutions accommodating instructional methods to the needs of diverse groups. ^

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During the past decade, there has been a dramatic increase by postsecondary institutions in providing academic programs and course offerings in a multitude of formats and venues (Biemiller, 2009; Kucsera & Zimmaro, 2010; Lang, 2009; Mangan, 2008). Strategies pertaining to reapportionment of course-delivery seat time have been a major facet of these institutional initiatives; most notably, within many open-door 2-year colleges. Often, these enrollment-management decisions are driven by the desire to increase market-share, optimize the usage of finite facility capacity, and contain costs, especially during these economically turbulent times. So, while enrollments have surged to the point where nearly one in three 18-to-24 year-old U.S. undergraduates are community college students (Pew Research Center, 2009), graduation rates, on average, still remain distressingly low (Complete College America, 2011). Among the learning-theory constructs related to seat-time reapportionment efforts is the cognitive phenomenon commonly referred to as the spacing effect, the degree to which learning is enhanced by a series of shorter, separated sessions as opposed to fewer, more massed episodes. This ex post facto study explored whether seat time in a postsecondary developmental-level algebra course is significantly related to: course success; course-enrollment persistence; and, longitudinally, the time to successfully complete a general-education-level mathematics course. Hierarchical logistic regression and discrete-time survival analysis were used to perform a multi-level, multivariable analysis of a student cohort (N = 3,284) enrolled at a large, multi-campus, urban community college. The subjects were retrospectively tracked over a 2-year longitudinal period. The study found that students in long seat-time classes tended to withdraw earlier and more often than did their peers in short seat-time classes (p < .05). Additionally, a model comprised of nine statistically significant covariates (all with p-values less than .01) was constructed. However, no longitudinal seat-time group differences were detected nor was there sufficient statistical evidence to conclude that seat time was predictive of developmental-level course success. A principal aim of this study was to demonstrate—to educational leaders, researchers, and institutional-research/business-intelligence professionals—the advantages and computational practicability of survival analysis, an underused but more powerful way to investigate changes in students over time.

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The purpose of this dissertation was to examine the effect of academic integration, defined in terms of instructor/student contact, on the persistence of under-prepared college students and the achievement of those who persist. The overall design of this study compared instructor-initiated contact with conventional contact. The dependent variables were persistence, achievement, motivation and anxiety. Information was collected by administering the College-Level Mathematics Test (CLM), the Perceived Affective Contact Questionnaire (PAC), the expectancy and anxiety components of the Motivated Strategies for Learning Questionnaire (MSLQ), a departmental final examination, and by accessing university records. The sample consisted of 130 college algebra students at a large, public university with a Hispanic majority. The main analyses consisted of a 2x2x2 ANOVA (treatment by ethnicity by gender) to test for differences in achievement, t-tests to compare motivation, anxiety and perceived affective contact scores for the two groups, Chi-square tests to assess differences in persistence, and Pearson Product-Moment Correlation to determine the relationship between pretest scores and achievement variables. Results indicated that neither instructor-initiated contact, gender nor ethnicity is related to persistence, motivation or anxiety. A significant disordinal interaction of treatment and ethnicity was observed, with Hispanic experimental students scoring significantly higher on a test of algebra achievement than Hispanic control students. Academic integration, defined in terms of instructor/student contact, has a positive influence on the achievement of Hispanic students. This may imply their positive responsiveness to the relational aspect of contact due to traditional cultural values of interdependence, acquiescence to authority and physical closeness. Such interactive feedback is a means by which students with these values are recognized as members of the university academic community, prompting increased academic effort. Training in contact initiation to promote academic integration is implied, by the results of this study, for instructors dealing with first year students, especially instructors at institutions accommodating instructional methods to the needs of diverse groups.

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During the past decade, there has been a dramatic increase by postsecondary institutions in providing academic programs and course offerings in a multitude of formats and venues (Biemiller, 2009; Kucsera & Zimmaro, 2010; Lang, 2009; Mangan, 2008). Strategies pertaining to reapportionment of course-delivery seat time have been a major facet of these institutional initiatives; most notably, within many open-door 2-year colleges. Often, these enrollment-management decisions are driven by the desire to increase market-share, optimize the usage of finite facility capacity, and contain costs, especially during these economically turbulent times. So, while enrollments have surged to the point where nearly one in three 18-to-24 year-old U.S. undergraduates are community college students (Pew Research Center, 2009), graduation rates, on average, still remain distressingly low (Complete College America, 2011). Among the learning-theory constructs related to seat-time reapportionment efforts is the cognitive phenomenon commonly referred to as the spacing effect, the degree to which learning is enhanced by a series of shorter, separated sessions as opposed to fewer, more massed episodes. This ex post facto study explored whether seat time in a postsecondary developmental-level algebra course is significantly related to: course success; course-enrollment persistence; and, longitudinally, the time to successfully complete a general-education-level mathematics course. Hierarchical logistic regression and discrete-time survival analysis were used to perform a multi-level, multivariable analysis of a student cohort (N = 3,284) enrolled at a large, multi-campus, urban community college. The subjects were retrospectively tracked over a 2-year longitudinal period. The study found that students in long seat-time classes tended to withdraw earlier and more often than did their peers in short seat-time classes (p < .05). Additionally, a model comprised of nine statistically significant covariates (all with p-values less than .01) was constructed. However, no longitudinal seat-time group differences were detected nor was there sufficient statistical evidence to conclude that seat time was predictive of developmental-level course success. A principal aim of this study was to demonstrate—to educational leaders, researchers, and institutional-research/business-intelligence professionals—the advantages and computational practicability of survival analysis, an underused but more powerful way to investigate changes in students over time.

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Building science, technology, engineering and mathematics (STEM) skills in students at all school levels is essential to building the next generation of engineering workers and engineering skills. Despite more than two decades of initiatives, the under-representation of women in engineering has been a longstanding concern in Australia. This is related to concerns about levels of participation in engineering overall, and to current concerns about attitudes to and participation in STEM subjects and career pathways generally, and for women in the natural and physical sciences and higher level mathematics at school, university and the workplace. This review analyses factors affecting the participation of women in engineering, covering the full extent of the STEM pipeline across the schooling years but focusing particularly on girls’ exposure to and engagement with engineering across those years.

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This thesis traces a genealogy of the discourse of mathematics education reform in Ireland at the beginning of the twenty first century at a time when the hegemonic political discourse is that of neoliberalism. It draws on the work of Michel Foucault to identify the network of power relations involved in the development of a single case of curriculum reform – in this case Project Maths. It identifies the construction of an apparatus within the fields of politics, economics and education, the elements of which include institutions like the OECD and the Government, the bureaucracy, expert groups and special interest groups, the media, the school, the State, state assessment and international assessment. Five major themes in educational reform emerge from the analysis: the arrival of neoliberal governance in Ireland; the triumph of human capital theory as the hegemonic educational philosophy here; the dominant role of OECD/PISA and its values in the mathematics education discourse in Ireland; the fetishisation of western scientific knowledge and knowledge as commodity; and the formation of a new kind of subjectivity, namely the subjectivity of the young person as a form of human-capital-to-be. In particular, it provides a critical analysis of the influence of OECD/PISA on the development of mathematics education policy here – especially on Project Maths curriculum, assessment and pedagogy. It unpacks the arguments in favour of curriculum change and lays bare their ideological foundations. This discourse contextualises educational change as occurring within a rapidly changing economic environment where the concept of the State’s economic aspirations and developments in science, technology and communications are reshaping both the focus of business and the demands being put on education. Within this discourse, education is to be repurposed and its consequences measured against the paradigm of the Knowledge Economy – usually characterised as the inevitable or necessary future of a carefully defined present.

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Este libro ayuda a los estudiantes a preparar el examen de matemáticas TABE. Los estudiantes desarrollarán un entendimiento de conceptos matemáticos, aprenderán estrategias para resolver problemas. Los temas del libro son: operaciones con números, cálculo con números enteros, ratio, proporción y porcentaje, análisis de datos, funciones, álgebra, estadísticas y probabilidad (interpretando información en tablas, usando tablas para hacer comparaciones), geometría (reconociendo tipos de ángulos, identificando polígonos, reconociendo tipos de triángulos, identificando partes de un círculo, trabajando con figuras de tres dimensiones) , medidas, decimales (sumando, restando, multiplicando y dividiendo decimales), fracciones , integrales (sumando, restando, multiplicando y dividiendo integrales).

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The integration of mathematics and science in secondary schools in the 21st century continues to be an important topic of practice and research. The purpose of my research study, which builds on studies by Frykholm and Glasson (2005) and Berlin and White (2010), is to explore the potential constraints and benefits of integrating mathematics and science in Ontario secondary schools based on the perspectives of in-service and pre-service teachers with various math and/or science backgrounds. A qualitative and quantitative research design with an exploratory approach was used. The qualitative data was collected from a sample of 12 in-service teachers with various math and/or science backgrounds recruited from two school boards in Eastern Ontario. The quantitative and some qualitative data was collected from a sample of 81 pre-service teachers from the Queen’s University Bachelor of Education (B.Ed) program. Semi-structured interviews were conducted with the in-service teachers while a survey and a focus group was conducted with the pre-service teachers. Once the data was collected, the qualitative data were abductively analyzed. For the quantitative data, descriptive and inferential statistics (one-way ANOVAs and Pearson Chi Square analyses) were calculated to examine perspectives of teachers regardless of teaching background and to compare groups of teachers based on teaching background. The findings of this study suggest that in-service and pre-service teachers have a positive attitude towards the integration of math and science and view it as valuable to student learning and success. The pre-service teachers viewed the integration as easy and did not express concerns to this integration. On the other hand, the in-service teachers highlighted concerns and challenges such as resources, scheduling, and time constraints. My results illustrate when teachers perceive it is valuable to integrate math and science and which aspects of the classroom benefit best from the integration. Furthermore, the results highlight barriers and possible solutions to better the integration of math and science. In addition to the benefits and constraints of integration, my results illustrate why some teachers may opt out of integrating math and science and the different strategies teachers have incorporated to integrate math and science in their classroom.