Perspectives of Teachers Regarding the Integration of Mathematics and Science at the Secondary School Level

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.

Viewbrics: Formative Assessment of Complex Skills with Video-Enhanced Rubrics (VER) in Dutch Secondary Education

To learn complex skills, like collaboration, learners need to acquire a concrete and consistent mental model of what it means to master this skill. If learners know their current mastery level and know their targeted mastery level, they can better determine their subsequent learning activities. Rubrics support learners in judging their skill performance as they provide textual descriptions of skills’ mastery levels with performance indicators for all constituent subskills. However, text-based rubrics have a limited capacity to support the formation of mental models with contextualized, time-related and observable behavioral aspects of a complex skill. This paper outlines the design of a study that intends to investigate the effect of rubrics with video modelling examples compared to text-based rubrics on skills acquisition and feedback provisioning. The hypothesis is that video-enhanced rubrics, compared to text based rubrics, will improve mental model formation of a complex skill and improve the feedback quality a learner receives (from e.g. teachers, peers) while practicing a skill, hence positively effecting final mastery of a skill.

English as a Lingua Franca in Namibia: : Teachers’ Attitudes Towards English as a Medium of Instruction in Classrooms

This study aims to investigate Namibian teachers’ attitudes towards English as a medium of instruction in Namibian classrooms. Regardless of the fact that English has no historical ties with Namibia, English still operates as the official language and the language of instruction in schools. This study briefly discusses the probable reasons for choosing English as an official language in Namibia, and as the medium of instruction in educational institutions. Furthermore, it discusses the attitudes that Namibian teachers have towards English as a medium of instruction in Namibian classrooms. A pilot electronic questionnaire, a revised questionnaire, and telephone interviews were used to acquire data for the study. The results indicate that English is a challenge for many learners and this poses a challenge to teachers as well. However, a majority of teachers from this study portray English as the language that is capable of uniting Namibian learners from different backgrounds, and a language that makes education possible in Namibia. In addition, teachers also reported that knowledge of English opens up educational opportunities for learners to study abroad.

Towards guidelines for curriculum design and development in English language teacher education in Cambodian higher education institutions

In the current Cambodian higher education sector, there is little regulation of standards in curriculum design of undergraduate degrees in English language teacher education. The researcher, in the course of his professional work in the Curriculum and Policy Office at the Department of Higher Education, has seen evidence that most universities tend to copy their curriculum from one source, the curriculum of the Institute of Foreign Languages, the Royal University of Phnom Penh. Their programs fail to impose any entry standards, accepting students who pass the high school exam without any entrance examination. It is possible for a student to enter university with satisfactory scores in all subjects but English. Therefore, not many graduates are able to fulfil the professional requirements of the roles they are supposed to take. Neau (2010) claims that many Cambodian EFL teachers do not reach a high performance standard due to their low English language proficiency and poor background in teacher education. The main purpose of this study is to establish key guidelines for developing curricula for English language teacher education for all the universities across the country. It examines the content of the Bachelor‘s degree of Education in Teaching English as a Foreign Language (B Ed in TEFL) and Bachelor‘s degree of Arts in Teaching English to Speakers of Other Languages (BA in TESOL) curricula adopted in Cambodian universities on the basis of criteria proposed in current curriculum research. It also investigates the perspectives of Cambodian EFL teachers on the areas of knowledge and skill they need in order to perform their English teaching duties in Cambodia today. The areas of knowledge and skill offered in the current curricula at Cambodian higher education institutions (HEIs), the framework of the knowledge base for EFL teacher education and general higher education, and the areas of knowledge and skill Cambodian EFL teachers perceive to be important, are compared so as to identify any gaps in the current English language teacher education curricula in the Cambodian HEIs. The existence of gaps show what domains of knowledge and skill need to be included in the English language teacher education curricula at Cambodian HEIs. These domains are those identified by previous curriculum researchers in both general and English language teacher education at tertiary level. Therefore, the present study provides useful insights into the importance of including appropriate content in English language teacher education curricula. Mixed methods are employed in this study. The course syllabi and the descriptions within the curricula in five Cambodian HEIs are analysed qualitatively based on the framework of knowledge and skills for EFL teachers, which is formed by looking at the knowledge base for second language teachers suggested by the methodologists and curriculum specialists whose work is elaborated on the review of literature. A quantitative method is applied to analyse the perspectives of 120 Cambodian EFL teachers on areas of knowledge and skills they should possess. The fieldwork was conducted between June and August, 2014. The analysis reveals that the following areas are included in the curricula at the five universities: communication skills, general knowledge, knowledge of teaching theories, teaching skills, pedagogical reasoning and decision making skills, subject matter knowledge, contextual knowledge, cognitive abilities, and knowledge of social issues. Additionally, research skills are included in three curricula while society and community involvement is in only one. Further, information and communication technology, which is outlined in the Education Strategies Plan (2006-2010), forms part of four curricula while leadership skills form part of two. This study demonstrates ultimately that most domains that are directly and indirectly related to language teaching competence are not sufficiently represented in the current curricula. On the basis of its findings, the study concludes with a set of guidelines that should inform the design and development of TESOL and TEFL curricula in Cambodia.

Promotion and diffusion of tha career Bachelor and Licenciature of Mathematics Teaching in rural areas of Costa Rica project: effects and results

This article describes the purpose and activities of the project Promoting Mathematics Education in Rural Areas of Costa Rica. The activity has focused on two objectives. First, supporting and monitoring students who have expressed interest in studying a mathematics teacher. To achieve this, it has been working with students who have an ideal profile for the career, mainly from rural areas. The second objective is to conduct training workshops for high school in-service teachers, to strengthen and improve their knowledge in the area of mathematics. Among the results of the project, it can be highlighted a significant increase in the enrollment of students in the career of Mathematics Education in 2010 and 2011, and the training processes in the field of Real Functions of Real Variable and Geometry at different regional areas mostly rural as Aguirre, Sarapiquí, Coto, Buenos Aires, Limón, Cañas, Pérez Zeledón, Nicoya, Los Santos, Turrialba, Puriscal, Desamparados, San Carlos, Puntarenas, Limón, Liberia, Santa Cruz y Upala.

The influence of initial teacher training in future teachers' perceptions about mathematics teaching and learning

ICEMST 2014 INTERNATIONAL CONFERENCE ON EDUCATION IN MATHEMATICS, SCIENCE & TECHNOLOGY PROCEEDING BOOK (pp.865-869). Disponível em http://www.2014.icemst.com/

Effects of an in-service training program using the routines-based interview

The focus of this study is an in-service training program rooted in routines-based early intervention and designed to improve the quality of goals and objectives on individualized plans. Participants were local intervention team members and other professionals who worked closely with each team. This training program involved a small number of trainees per group, providing multiple learning experiences across time and various opportunities for self-assessment and monitoring. We investigated (a) the perceptions of the participants about the strengths and weaknesses of the training program, (b) medium-term outcomes of the training with a comparison group, (c) and variables associated with the quality of goals and objectives. This study involved training more than 200 professionals, and results support the effectiveness of the program in improving the quality of goals and objectives, showing the importance of the routines-based interview in producing that improvement.

Mathematical pedagogical content knowledge in early childhood education: A study in initial teacher education in Portugal

The study aims to explore the specificity of mathematics Pedagogical Content Knowledge in Early Childhood Education Pedagogy. The pedagogy of ECE (Siraj-Blatchford, 2010) and the didactics of ECE (Pramling & Pramling-Samuelsson, 2011) suggest dimensions of knowledge that require strong content and PC knowledge of teachers. Recent studies about PCK of ECE teachers highlight similar specific dimensions: organization of educational environment and interactions with children (Lee, 2010, McCray, 2008, Rojas, 2008). The current framework for ECE Teacher Education in Portugal (since 2007) focuses both content knowledge and subject didactics. PCK has been labelled the 'great unknown' in ECE (Rojas, 2008) in traditions where the child's development is considered as the main knowledge base for ECE (Chen & McNamee, 2006, Cullen, 2005, Hedges & Cullen, 2005). We studied the perspectives of 27 initial teacher education students about knowledge for teaching and about ECE Pedagogy. We used one open-ended questionnaire and students' analysis of episodes focusing children's answers or discourse relevant for mathematics (about high numbers and square root). The questionnaire was anonymous and students’ permission to use the answers was obtained. In the questionnaire, interactions with children (62%) and organization of the educational environment (38%) are highlighted as the most important focus for the teacher. Students suggested tasks that were adult planned and oriented to further the situations presented in the episodes. Very few references to children's exploratory actions (Bonawitz et al., 2011) were made. The specificity of ECE (child initiated activities, e.g.) needs to be further developed in initial teacher education.

Relevant Aspects on Teaching Probability and Statistics in Basic General Education

Probability and Statistics were included in the Basic General Education curricula by the Ministry of Public Education (Costa Rica), since 1995. To analyze the teaching reality in these fields, a research was conducted in two educational regions of the country: Heredia and Pérez Zeledón. The survey included university training and updating processes of teachers teaching Statistics and Probability in the schools. The research demonstrated the limited university training in these fields, the dissatisfaction of teachers about it, and the poor support of training institutions to their professional exercise.

The production of school numbers (1871-1931): contributions to a critical approach to statistical sources in History of Education

This article intends to contribute to the reflection on the Educational Statistics as being source for the researches on History of Education. The main concern was to reveal the way Educational Statistics related to the period from 1871 to 1931 were produced, in central government. Official reports - from the General Statistics Directory - and Statistics yearbooks released by that department were analyzed and, on this analysis, recommendations and definitions to perform the works were sought. By rending problematic to the documental issues on Educational Statistics and their usual interpretations, the intention was to reduce the ignorance about the origin of the school numbers, which are occasionally used in current researches without the convenient critical exam.

Application of the essential work of fracture method in ranking the performance in service of high-density polyethylene resins employed in pressure pipes

High-density polyethylene resins have increasingly been used in the production of pipes for water- and gas-pressurized distribution systems and are expected to remain in service for several years, but they eventually fail prematurely by creep fracture. Usual standard methods used to rank resins in terms of their resistance to fracture are expensive and non-practical for quality control purposes, justifying the search for alternative methods. Essential work of fracture (EWF) method provides a relatively simple procedure to characterize the fracture behavior of ductile polymers, such as polyethylene resins. In the present work, six resins were analyzed using the EWF methodology. The results show that the plastic work dissipation factor, beta w(p), is the most reliable parameter to evaluate the performance. Attention must be given to specimen preparation that might result in excessive dispersion in the results, especially for the essential work of fracture w(e).

Variable Demand and Profitability in Service Companies: a case study in the information technology sector

Managing a variable demand scenario is particularly challenging on services organizations because services companies usually have a major part of fixed costs. The article studies how a services organization manages its demand variability and its relation with the organization`s profitability. Moreover, the study searched for alternatives used to reduce the demand variability`s impact on the profitability of the company. The research was based on a case study with a Brazilian services provider on information technology business. The study suggests that alternatives like using outsourced employees to cover demand peaks may bring benefits only on short term, reducing the profitability of the company on long term: Some options are revealed, like the internationalization of employees and the investment on developing its own workforce.

Evaluating curriculum changes in undergraduate cancer education

Background. Previous studies have indicated that Australian medical schools have not adequately prepared our graduating doctors to care for patients with cancer. The University of Western Australia (UWA) introduced a two-week clinical attachment in cancer medicine for fifth-year students in 2000 and a four-day clinical attachment in palliative care for sixth-year students in 2001. This article evaluates the introduction of these dedicated clinical attachments in cancer and palliative care. Method. The Australian Cancer Society's Cancer Education Survey was administered to the UWA graduates starting their intern year in teaching hospitals in Perth, Western Australia, in 2002. Their responses were compared with data collected in a similar national survey of Australian and New Zealand interns in 2001. Results. The response rate was 56% (n = 70). When compared with the national data for 2001, more UWA interns (2002) would refer a newly diagnosed breast cancer patient to a multidisciplinary breast clinic (97% vs. 74%, P<.001). Fewer UWA 2002 interns rated their training as poor or very poor in the management of patients with incurable cancer (19% vs. 35%, P=.008) and the management of symptoms in patients dying from cancer (10% vs. 37%, P<.001), but they were more likely to rate their training in assisting a patient to stop smoking as poor or very poor (54% vs. 21%, P<.001). Only a quarter of the UWA 2002 interns had examined a patient with a cancer of the mouth or tongue (25% vs. 49%, P<.001), and only two thirds had examined a patient with lymphoma (64% vs. 83%, P<.001). Conclusions. Our data reflect changes in the final two years of the medical course at UWA and suggest that the introduction of dedicated attachments in cancer and palliative care has better prepared graduating doctors to care for patients with cancer.