Initial convergence of the perturbation series expansion for vibrational nonlinear optical properties

Initial convergence of the perturbation series expansion for vibrational nonlinear optical (NLO) properties was analyzed. The zero-point vibrational average (ZPVA) was obtained through first-order in mechanical plus electrical anharmonicity. Results indicated that higher-order terms in electrical and mechanical anharmonicity can make substantial contributions to the pure vibrational polarizibility of typical NLO molecules

Argumentos para los futuros maestros en torno al conocimiento matemático

Departing from initial training on Mathematics teaching, this article analyses several beliefs held by future teachers regarding mathematical knowledge. Some of these beliefs are an authentic obstacle for an advance towards quality Mathematics teaching, therefor, the autors reproduce five arguments given to groups of future teachers in order to tackle some of their beliefs on Mathematics and making them build, modify or consolidate a more complex imatge of mathematical knowledge and Mathematics work in the classroom

Conceptions of mathematics teacher education : thoughts among teacher educators in Tanzania

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.

Explicit/implicit training of cooperative learning with junior elementary students /

This experimental study examined the effects of cooperative learning and expliciUimpliGit instruction on student achievement and attitudes toward working in cooperative groups. Specifically, fourth- and fifth-grade students (n=48) were randomly assigned to two conditions: cooperative learning with explicit instruction and cooperative learning with implicit instruction. All participants were given initial training either explicitly or implicitly in cooperative learning procedures via 10 one-hour sessions. Following the instruction period, all students participated in completing a group project related to a famous artists unit. It was hypothesized that the explicit instruction training would enhance students' scores on the famous artists test and the group projects, as well as improve students' attitudes toward cooperative learning. Although the explicit training group did not achieve significantly higher scores on the famous artists test, significant differences were found in group project results between the explicit and implicit groups. The explicit group also exhibited more favourable and positive attitudes toward cooperative learning. The findings of this study demonstrate that combining cooperative learning with explicit instruction is an effective classroom strategy and a useful practice for presenting and learning new information, as well as working in groups with success.

Perceptions of some teachers about the similarities and/or differences in teaching online versus in a classroom environment /

The introduction of computer and communications technology, and particularly the internet, into education has opened up some new possibilities for teaching and learning. Courses designed and delivered in an online environment offer the possibility of highly interactive and individually focussed teaching and learning experiences. However, online courses also present new challenges for both teachers and students. A qualitative study was conducted to explore teachers' perceptions about the similarities and differences in teaching in the online and face-to-face (F2F) environments. Focus group discussions were held with 5 teachers; 2 teachers were interviewed in depth. The participants, 3 female and 2 male, were full-time teachers from a large College of Applied Arts & Technology in southern Ontario. Each of them had over 10 years of F2F teaching experience and each had been involved in the development and teaching of at least one online course. i - -; The study focussed on how teaching in the online environment compares with teaching in the F2F environment, what roles teachers and students adopt in each setting, what learning communities mean online and F2F and how they are developed, and how institutional policies, procedures, and infrastructure affect teaching and learning F2F and online. This study was emic in nature, that is the teachers' words determine the themes identified throughout the study. The factors identified as affecting teaching in an online environment included teacher issues such as course design, motivation to teach online, teaching style, role, characteristics or skills, and strategies. Student issues as perceived by the teachers included learning styles, role, and characteristics or skills. As well, technology issues such as a reliable infrastructure, clear role and responsibilities for maintaining the infrastructure, support, and multimedia capability affected teaching online. Finally, administrative policies and procedures, including teacher selection and training, registration and scheduling procedures, intellectual property and workload policies, and the development and communication of a comprehensive strategic plan were found to impact on teaching online. The teachers shared some of the benefits they perceived about teaching online as well as some of the challenges they had faced and challenges they perceived students had faced online. Overall, the teachers feh that there were more similarities than differences in teaching between the two environments, with the main differences being the change from F2F verbal interactions involving body language to online written interactions without body language cues, and the fundamental reliance on technology in the online environment. These findings support previous research in online teaching and learning, and add teachers' perspectives on the factors that stay the same and the factors that change when moving from a F2F environment to an online environment.

Show me, help me, let me : supporting teachers' changing conceptions of reading assessment and reading instruction

This qualitative inquiry used case study methodology to explore the change processes of 3 primary-grade teachers throughout their participation in 7 -month professional learning initiative focused on reading assessment and instruction. Participants took part in semimonthly inquiry-based professional learning community sessions, as well as concurrent individualized classroom-based literacy coaching. Each participant's experiences were first analyzed as a single case study, followed by cross-case analyses. While their patterns of professional growth differed, findings documented how all participants altered their understandings of the roles and relevancy of individual components of reading instruction (e.g., comprehension, decoding) and instructional approaches to scaffold students' growth (e.g., levelled text, strategy instruction), and experienced some form of conceptual change. Factors identified as affecting their change processes included; motivation, professional knowledge, professional beliefs (self-efficacy and theoretical orientation), resources (e.g., time, support), differentiated professional learning with associated goal-setting, and uncontrollable influences, with the affect of each factor compounded by interaction with the others. Comparison of participants' experiences to the Cognitive-Affective Model of Conceptual Change (CAMCC) and the Interconnected Model of Teacher Professional Growth (IMTPG) demonstrated the applicability of using both conceptual models, with the IMTPG providing macrolevel insights over time and the CAMCC microlevel insights at each change intervaL Recommendations include the provision of differentiated teacher professional learning opportunities, as well as research documenting the effects of teacher mentorship programs and the professional growth of teacher educators. ii

Investigating Formative Assessment: Exploring the Impact on the Self-Efficacy and Motivation of Mathematics Students

This is a study of the implementation and impact of formative assessment strategies on the motivation and self-efficacy of secondary school mathematics students. An explanatory sequential mixed methods design was implemented where quantitative and qualitative data were collected and analyzed sequentially in 2 different phases. The first phase involved quantitative data from student questionnaires and the second phase involved qualitative data from individual student and teacher interviews. The findings of the study suggest that formative assessment is implemented in practice in diverse ways and is a process where the strategies are interconnected. Teachers experience difficulty in incorporating peer and self-assessment and perceive a need for exemplars. Key factors described as influencing implementation include teaching philosophies, interpretation of ministry documents, teachers’ experiences, leadership in administration and department, teacher collaboration, misconceptions of teachers, and student understanding of formative assessment. Findings suggest that overall, formative assessment positively impacts student motivation and self-efficacy, because feedback is provided which offers encouragement and recognition by highlighting the progress that has been made and what steps need to be taken to improve. However, students are impacted differently with some considerations including how students perceive mistakes and if they fear judgement. Additionally, the impact of formative assessment is influenced by the connection between self-efficacy and motivation, namely how well a student is doing is a source of both concepts.

Construction négociée par la triade de formation en stage d'un savoir-enseigner les mathématiques au primaire

Dans le contexte actuel de l’éducation au Québec où la réforme des programmes de formation des jeunes appelle un renouvellement des pratiques d’enseignement, notre recherche s’intéresse au développement de la dimension didactique de la pratique liée à l’enseignement des mathématiques qui est considéré comme l’un des éléments clés des nouvelles orientations. Nous abordons la question par le biais de la collaboration de formation initiale pour l’enseignement des mathématiques au primaire qui se vit en stage entre des praticiennes en exercice et en formation et une didacticienne des mathématiques. Cette rencontre sur le terrain des stages au primaire entre praticiennes et didacticienne, longtemps réclamée et rendue possible à l’UQAT , nous a amené à formuler une première question de recherche touchant ce qui se construit à travers les échanges de ces partenaires de la formation au cours des supervisions pédagogiques conjointes qui les réunissent en stage. Nous avons cadré ce questionnement à partir des balises théoriques de la didactique professionnelle qui proposent modèle et concepts pour expliciter l’activité professionnelle et traiter des phénomènes de développement des compétences professionnelles en contexte de travail et de formation. La didactique professionnelle attribue un rôle essentiel à la communauté de pratique et au processus d’analyse de l’expérience dans le développement professionnel des novices et dans l’explicitation d’un savoir d’action jugé pertinent et reconnu. Nous y faisons donc appel pour poser le potentiel que représentent les échanges issus de la collaboration quant à leur contribution à l’établissement d’un savoir de référence pour l’enseignement des mathématiques. La didactique professionnelle propose également le recours au concept de schème pour décrire l’activité professionnelle et à l’idée de concepts organisateurs comme élément central de l’activité et comme variable de la situation professionnelle concernée. Nous recourons à ces mêmes concepts pour expliciter le savoir de référence pour l’enseignement des mathématiques qui émerge à travers les échanges des partenaires de la formation. Dans le cadre d’une étude de cas, nous nous sommes intéressée aux échanges qui se déroulent entre une stagiaire qui effectue son troisième et avant dernier stage , l’enseignante-associée qui la reçoit et la chercheure-didacticienne qui emprunte le rôle de superviseure universitaire. Les échanges recueillis sont issus de trois cycles de supervision conjointe qui prennent la forme de rencontres de préparation des situations d’enseignement de mathématique; d’observation en classe des séances d’enseignement pilotées par la stagiaire auprès de ses élèves; et des rencontres consacrées à l’analyse des situations d’enseignement observées et de l’activité mise en œuvre par la stagiaire. Ainsi les objets de discussion relevés par les différents partenaires de la formation et la négociation de sens des situations professionnelles vécues et observées sont analysés de manière à rendre visibles les constituants de l’activité professionnelle qui sont jugés pertinents par la triade de formation. Dans un deuxième temps, en partant de cette première analyse, nous dégageons les concepts organisateurs des situations professionnelles liées à l’enseignement des mathématiques qui sont pris en compte par la triade de formation et qui constituent des variables de la situation professionnelle. Les constituants de l’activité et des situations professionnelles qui résultent de cette analyse sont envisagés en tant que représentations collectives qui se révèlent à travers les échanges de la triade de formation. Parce que ces représentations se sont trouvées partagées, négociées dans le cadre des supervisions pédagogiques, elles sont envisagées également en tant que savoir de référence pour cette triade de formation. Les échanges rendus possibles entre les praticiennes et la didacticienne placent ce savoir de référence dans une dynamique de double rationalité pratique et didactique. Enfin, partant de l’apport déterminant de la communauté de pratique et de formation de même que du savoir de référence que cette dernière reconnait comme pertinent dans le développement professionnel des novices, les résultats de cette recherches peuvent contribuer à réfléchir la formation des futures enseignantes en stage en ce qui a trait à l’enseignement des mathématiques au primaire.

New GCSE AQA Mathematics: Teacher´s Book Unit 3 Higher.

Este libro cumple las expectativas de los alumnos de matemáticas en relación a los exámenes de secundaria (AQA) para obtener el General Certificate of Secondary Education (GCSE). Los temas del libro son: fracciones y decimales, ángulos y áreas, trabajando con símbolos, porcentajes y ratios, ecuaciones y fórmulas, propiedades de los polígonos, gráficos, el teorema de Pitágoras, propiedades de los círculos, medidas, trigonometría, vectores, ecuaciones simultáneas, funciones exponenciales. Las respuestas a los ejercicios se encuentran al final del libro.

New GCSE AQA Mathematics: Teacher´s Book Unit 3 Foundation.

Este libro cumple las expectativas de los alumnos de matemáticas en relación a los exámenes de secundaria (AQA) para obtener el General Certificate of Secondary Education (GCSE). Los temas del libro son: fracciones y decimales, ángulos (ángulos y líneas, ángulos y líneas paralelas, ángulos y triángulos), trabajando con símbolos, porcentajes y ratios, perímetro y área (perímetro y área de un rectángulo, área de paralelogramos y triángulos, circunferencia y área de un círculo), ecuaciones, propiedades de los polígonos, gráficos, fórmulas, área y volumen, medidas, dibujando y midiendo líneas, ángulos y círculos.

Initial convergence of the perturbation series expansion for vibrational nonlinear optical properties

Initial convergence of the perturbation series expansion for vibrational nonlinear optical (NLO) properties was analyzed. The zero-point vibrational average (ZPVA) was obtained through first-order in mechanical plus electrical anharmonicity. Results indicated that higher-order terms in electrical and mechanical anharmonicity can make substantial contributions to the pure vibrational polarizibility of typical NLO molecules

Role of headmasters, teachers and supervisors in knowledge transfer about occupational health and safety to pupils in vocational education

Background Young people are at an increased risk for illness in working life. The authorities stipulate certain goals for training in occupational health and safety (OHS) in vocational schools. A previous study concluded that pupils in vocational education had limited knowledge in the prevention of health risks at work. The aim of the current study, therefore, was to study how OHS training is organized in school and in workplace-based learning (WPL).   Method The study design featured a qualitative approach, which included interviews with 12 headmasters, 20 teachers, and 20 supervisors at companies in which the pupils had their WPL. The study was conducted at 10 upper secondary schools, located in Central Sweden, that were graduating pupils in four vocational programs.   Result The interviews with headmasters, teachers, and supervisors indicate a staggered picture of how pupils are prepared for safe work. The headmasters generally give teachers the responsibility for how goals should be reached. Teaching is very much based on risk factors that are present in the workshops and on teachers’ own experiences and knowledge. The teaching during WPL also lacks the systematic training in OHS as well as in the traditional classroom environment.   Conclusion Teachers and supervisors did not plan the training in OHS in accordance with the provisions of systematic work environment management. Instead, the teachers based the training on their own experiences. Most of the supervisors did not get information from the schools as to what should be included when introducing OHS issues in WPL.

Conhecimentos e práticas de professores que ensinam Matemática na infância e suas relações com ampliação do Ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)