A Jaworskian analysis of four senior class primary teachers endeavouring to teach mathematics from a constructivist-compatible perspective

A constructivist philosophy underlies the Irish primary mathematics curriculum. As constructivism is a theory of learning its implications for teaching need to be addressed. This study explores the experiences of four senior class primary teachers as they endeavour to teach mathematics from a constructivist-compatible perspective with primary school children in Ireland over a school-year period. Such a perspective implies that children should take ownership of their learning while working in groups on tasks which challenge them at their zone of proximal development. The key question on which the research is based is: to what extent will an exposure to constructivism and its implications for the classroom impact on teaching practices within the senior primary mathematics classroom in both the short and longer term? Although several perspectives on constructivism have evolved (von Glaserfeld (1995), Cobb and Yackel (1996), Ernest (1991,1998)), it is the synthesis of the emergent perspective which becomes pivotal to the Irish primary mathematics curriculum. Tracking the development of four primary teachers in a professional learning initiative involving constructivist-compatible approaches necessitated the use of Borko’s (2004) Phase 1 research methodology to account for the evolution in teachers’ understanding of constructivism. Teachers’ and pupils’ viewpoints were recorded using both audio and video technology. Teachers were interviewed at the beginning and end of the project and also one year on to ascertain how their views had evolved. Pupils were interviewed at the end of the project only. The data were analysed from a Jaworskian perspective i.e. using the categories of her Teaching Triad of management of learning, mathematical challenge and sensitivity to students. Management of learning concerns how the teacher organises her classroom to maximise learning opportunities for pupils. Mathematical challenge is reminiscent of the Vygotskian (1978) construct of the zone of proximal development. Sensitivity to students involves a consciousness on the part of the teacher as to how pupils are progressing with a mathematical task and whether or not to intervene to scaffold their learning. Through this analysis a synthesis of the teachers’ interpretations of constructivist philosophy with concomitant implications for theory, policy and practice emerges. The study identifies strategies for teachers wishing to adopt a constructivist-compatible approach to their work. Like O’Shea (2009) it also highlights the likely difficulties to be experienced by such teachers as they move from utilising teacher-dominated methods of teaching mathematics to ones in which pupils have more ownership over their learning.

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.

THE EFFECT OF PURPOSEFUL MATHEMATICS DISCOURSE IN THE CLASSROOM ON STUDENTS’ MATHEMATICS LANGUAGE IN THE CONTEXT OF PROBLEM SOLVING

This study examines how one secondary school teacher’s use of purposeful oral mathematics language impacted her students’ language use and overall communication in written solutions while working with word problems in a grade nine academic mathematics class. Mathematics is often described as a distinct language. As with all languages, students must develop a sense for oral language before developing social practices such as listening, respecting others ideas, and writing. Effective writing is often seen by students that have strong oral language skills. Classroom observations, teacher and student interviews, and collected student work served as evidence to demonstrate the nature of both the teacher’s and the students’ use of oral mathematical language in the classroom, as well as the effect the discourse and language use had on students’ individual written solutions while working on word problems. Inductive coding for themes revealed that the teacher’s purposeful use of oral mathematical language had a positive impact on students’ written solutions. The teacher’s development of a mathematical discourse community created a space for the students to explore mathematical language and concepts that facilitated a deeper level of conceptual understanding of the learned material. The teacher’s oral language appeared to transfer into students written work albeit not with the same complexity of use of the teacher’s oral expression of the mathematical register. Students that learn mathematical language and concepts better appear to have a growth mindset, feel they have ownership over their learning, use reorganizational strategies, and help develop a discourse community.

Training proposal in the degree of Master of Early Childhood Education for working the method of historical research in the classroom

Future teachers must be competent in creating educational settings, which provide tools to their students future they can develop a conscious mind, able to interpret their experiences, to make decisions and imagine innovative solutions to help you participate autonomously and responsible in society. This requires an educational system that allows them to integrate the subjective into a broader spatial and temporal context. La patrimonializatión of “Cultural artefacts” and oral history, the basis of which, are found in the active mind and links both the personal and the group experience, don’t only serve as a catalyst to achieving this goal, but rather, they facilitate the implementation of established practice in infant education. To gain this experience we offer the opportunity for students of their degree in Infant Education in the Public University of Navarre, training within the framework of social didactics, allowing students to learn about established practice from iconic, materials and oral sources in the Archive of Intangible Cultural Heritage of Navarra. The vidences points to their effectiveness and presented in a work in progress.

Exploring the influences on classroom-based contact via shared education in Northern Ireland

Initiatives in intercultural education have frequently involved the promotion of contact between members of different groups as a means of improving intergroup relations. Experience from Northern Ireland suggests, however, that such schemes have often been organised and delivered in such a way that opportunities for sustained, high-quality contact are limited. This paper considers processes of contact in one relatively recent initiative, “shared education”, which involves collaboration between separate schools to deliver classes to Catholic and Protestant pupils in mixed groups. Employing qualitative methods of observation and interviewing to capture participants’ experiences of contact, the research explores the influences on the quality and frequency of cross-group interaction in the shared class. With findings highlighting the subject and pedagogy, teacher’s approach and classroom arrangement as key factors, the study offers suggestions for policy and practice to enhance opportunities for contact and relationship-building in mixed classes.

Exploring the effects of a universal classroom management training programme on teacher and child behaviour: a group randomised controlled trial and cost analysis

Teachers frequently struggle to cope with conduct problems in the classroom. The aim of this study was to assess the effectiveness of the Incredible Years Teacher Classroom Management Training Programme for improving teacher competencies and child adjustment. The study involved a group randomised controlled trial which included 22 teachers and 217 children (102 boys and 115 girls). The average age of children included in the study was 5.3 years (standard deviation = 0.89). Teachers were randomly allocated to an intervention group (n = 11 teachers; 110 children) or a waiting-list control group (n = 11; 107 children). The sample also included 63 ‘high-risk’ children (33 intervention; 30 control), who scored above the cut-off (>12) on the Strengths and Difficulties Questionnaire for abnormal socioemotional and behavioural difficulties. Teacher and child behaviours were assessed at baseline and 6 months later using psychometric and observational measures. Programme delivery costs were also analysed. Results showed positive changes in teachers’ self-reported use of positive classroom management strategies (effect size = 0.56), as well as negative classroom management strategies (effect size = −0.43). Teacher reports also highlight improvements in the classroom behaviour of the high-risk group of children, while the estimated cost of delivering the Incredible Years Teacher Classroom Management Training Programme was modest. However, analyses of teacher and child observations were largely non-significant. A need for further research exploring the effectiveness and cost-effectiveness of the Incredible Years Teacher Classroom Management Training Programme is indicated.

Target language use : An empirical study of the target language use in the Swedish 4-6 grade classroom

A consistent use of the target language during English lessons is beneficial for pupils’ linguistic development, but also challenging for both teachers and pupils. The main purpose for pupils to learn English is to be able to use it in communication, which requires that they develop the ability to comprehend input, produce output and use language strategies. Several researchers claim that a consistent use of the target language is necessary in order to develop these abilities. Therefore, the aim of this study is to examine the target language use during English lessons in Swedish grades 4-6, and what pupils’ opinions regarding target language use are. The methods used to collect data consisted of a pupil questionnaire with 42 respondents and an observation of two teachers’ English lessons during a week’s time. The results from the observations show that the teachers use plenty of target language during lessons, but the first language as well to explain things that pupils might experience difficult to understand otherwise. The results from the questionnaire mainly show that the pupils seem to enjoy English and like to both speak and hear the target language during lessons. The main input comes from listening to a CD with dialogues and exercises in the textbook and the workbook, and from the teacher speaking. The results also show that a majority of the pupils use the target language in their spare time. A conclusion that can be drawn from this study is that the TL should be used to a large extent in order to support pupils’ linguistic development. However, teachers may sometimes need to use L1 in order to facilitate understanding of the things that many pupils find difficult, for example grammar. Suggestions for further research in this area include similar studies conducted on a larger scale.

To speak or not to speak English during English lessons : A literature study on language use in the elementary classroom

There are different views regarding which language should be used in the second language classroom. Therefore, the aim of this literature review is to find out if the teachers’ choice of language use in the classroom can affect the students’ motivation to speak English and if there are other factors that can affect the teachers’ choice of language use. This study is based on six different sources who all have investigated the use of the first language and/or the target language in schools in different parts of the world. The results of this study show that both the use of the first language and the target language can affect the students’ motivation to speak English. The results also show that there are many different factors that can affect the teachers’ choice of language in the classroom, apart from motivation. These factors include the use of the first or the target language to ensure comprehension, encourage communication, create and maintain relationships between teachers and students, keep up a good classroom climate, and to uphold discipline. There are arguments both for using the first language and the second language in the second language classroom and it is difficult to determine which language is the best to use. However, what can be determined is that it is the teachers’ responsibility to decide and to have a reason for choosing one language or the other.

Bridging discourses in a writing classroom

The aim of this study is to describe and analyse the writing discourse in one classroom and how students learn through studying a topic, i.e. the teaching and learning of written argument. The study takes its stance from a sociocultural perspective and is influenced by discourse analyses, new literacy studies and critical literacy (Fairclough1989; Barton 2007; Janks 2010; Ivanič 2004). Data from year 6 in Sweden consists of observations, informal conversations, teachers’ planning and students’ written texts, i.e. letters to a newspaper editor. The results are presented in terms of four themes that became apparent during the reading of the data, viz. (1) teaching for learning - deconstruction; (2) dialogue and scaffolding for learning – enabling access; (3) reconstruction, feedback and students’ reflections for learning; and (4) writing to learn. The data is analysed and discussed on the basis of four concepts for developing critical literacy, viz. access, deconstruction, reconstruction and domination (cf. Janks 2010:21 – 32). The study indicates that explicit teaching of a written argument gives students access to the dominating structure of the genre if they are given the time and tools to reflect and be given feedback from the teacher.

Vocabulary learning and homework in the upper elementary EFL classroom.

Vocabulary homework is a common feature in the English subject in Sweden. Often the pupils are given a list of words they are to memorize for a pending test. In this literature review the author aims to analyze what the current research says about homework and how homework can be used effectively for EFL learners in elementary school, with a focus on both homework and vocabulary learning research. Cognitive linguistics has been used as a theoretical perspective to help answer the research questions. Results indicate that homework has limited effect on younger learners and should not be used, while, some researchers claim that it can be effective if introduced properly. Regarding vocabulary learning, it is important that vocabulary is relevant to the learner and that words are taught through a meaningful context. Therefore, vocabulary homework for EFL learners in elementary school should consist of words and phraseology which have a personal relevance to the learner, or key words for subjects taught in class. The conclusion of the study is that it is up to the teachers to determine if they should use vocabulary homework or not when teaching EFL, as long as the decision is based on current research.

The physical classroom environment : roles, conceptions, and preferences

The problem addressed in this thesis is that a considerable proportion of students around the world attend school in inadequate facilities, which is detrimental for the students’ learning outcome. The overall objective in this thesis is to develop a methodology, with a novel approach to involve teachers, to generate a valuable basis for decisions regarding design and improvement of physical school environment, based on the expressed needs for a specific school, municipality, or district as well as evidence from existing research. Three studies have been conducted to fulfil the objective: (1) a systematic literature review and development of a theoretical model for analysing the role of the physical environment in schools; (2) semi structured interviews with teachers to get their conceptions of the physical school environment; (3) a stated preference study with experimental design as an online survey. Wordings from the transcripts from the interview study were used when designing the survey form. The aim of the stated preference study was to examine the usability of the method when applied in this new context of physical school environment. The result is the methodology with a mixed method chain where the first step involves a broad investigation of the specific circumstances and conceptions for the specific school, municipality, or district. The second step is to use the developed theoretical model and results from the literature study to analyse the results from the first step and transform them in to a format that fits the design of a stated preference study. The final step is a refined version of the procedure of the performed stated preference study.

"It’s just very natural" – interpersonal knowledge as a didactical device in guided classroom conversations in religious education

This article investigates how teachers in religious education (RE) think and act as professionals while working with differences in religious and philosophy of life experiences and beliefs in class and trying to do this in respectful and inclusive ways. It analyses data from two research projects that were carried out in lower secondary school in Norway. The main research question is: What is the relationship between teachers’ contextual knowledge and knowledge of the child and how do these two dimensions of professional knowledge interact when religious education teachers try to strike a good balance between inclusion and productive learning in their teaching practice? The data analysed were drawn from three different data sets featuring three Norwegian religious education-teachers. The research was part of the EU-funded "REDCo"-project and the "Religious education and diversity" - project ["ROM"] funded by the Norwegian Research Council. The interviewees emphasized the potential of the religious education subject to contribute to a wider tolerance for difference and to support individual students in their identity management. The analysis shows, however, that considerable contextual awareness - of the classroom and of the local community - is needed to realize this potential. It also shows the importance of interpersonal knowledge between the teacher and each student if contextual awareness is to be effective in terms of inclusion, participation, wellbeing and good learning outcomes for all students.

TEACHERS’ ATTITUDES TOWARD INCLUSION OF CHILDREN WITH DISABILITIES IN RURAL EL SALVADOR

The attitude of school teachers toward inclusion of children with disabilities is an important factor in the successful implementation of a national inclusion program. With the universal pressure to provide education for all and international recognition of the importance of meeting the needs of diverse populations, inclusive education has become important to governments around the world. El Salvador’s Ministry of Education seeks to establish inclusion as an integral part of their struggle to meet the needs of children across the country, but this is a difficult process, especially for a country with limited resources which still struggles to meet international expectations of educational access and quality. Teacher attitude is an important factor in the success of inclusion programs and can be investigated in relation to various factors which may affect teachers’ classroom practice. While these factors have been investigated in multiple countries, there is a need for more knowledge of the present situation in developing countries and especially in schools across the rural areas of El Salvador to meet the needs of the diverse learners in that country. My research was a mixed methods case study of the rural schools of one municipality, using a published survey and interviews with teachers to investigate their attitudes regarding inclusion. This research was the first investigation of teachers’ attitudes toward inclusion in rural El Salvador and explored the needs and challenges which exist in creating inclusive schools across this country. The findings of this study revealed the following important themes. Some children with disabilities are not in school and those with mild disabilities are not always getting needed services. Teachers agreed with the philosophy of inclusion, but believed that some children with disabilities would receive a better education in special schools. They were not concerned about classroom management. Teachers desired more training on disability and inclusion. They believed that a lack of resources, including materials and personnel, was a major barrier to inclusion. Teachers’ attitudes were consistent regardless of family and professional experience with disability or amount of inclusion training. They were concerned about the role of family support for children with disabilities.

ASSESSING THE LEVEL OF TECHNOLOGY INTEGRATION OF TITLE I TEACHERS IN A LARGE URBAN SCHOOL DISTRICT

By law, Title I schools employ teachers who are both competent in their subject knowledge and State certified. In addition, Title I teachers receive ongoing professional development in technology integration and are equipped with the latest innovative resources to integrate technology in the classroom. The aim is higher academic achievement and the effective use of technology in the classroom. The investment to implement technology in this large urban school district to improve student achievement has continued to increase. In order to infuse current and emerging technology throughout the curriculum, this school district needs to know where teachers have, and have not, integrated technology. Yet the level of how technology is integrated in Title I schools is unknown. This study used the Digital-Age Survey Levels of Teaching Innovation (LoTi) to assess 508 Title I teachers’ technology integration levels using three major initiatives purchased by Title I— the iPads program, the Chromebook initiative, and the interactive whiteboards program. The study used a quantitative approach. Descriptive statistics, regression analysis, and statistical correlations were used to examine the relationship between the level of technology integration and the following dependent variables: personal computer use (PCU), current instructional practices (CIP), and levels of teaching innovation (LoTi). With this information, budgetary decisions and professional development can be tailored to the meet the technology implementation needs of this district. The result of this study determined a significant relationship between the level of teaching innovation, personal computer use, and current instructional practices with teachers who teach with iPad, Chromebook, and/or interactive whiteboard. There was an increase in LoTi, PCU, and CIP scores with increasing years of experience of Title I teachers. There was also a significant relationship between teachers with 20 years or more teaching experience and their LoTi score.

Working with Student Teachers: A Mixed Methods Study to Examine the Roles and Self-Identified Dispositions of Cooperating Teachers

A critical component of teacher education is the field experience during which candidates practice under the supervision of experienced teachers. Programs use the InTASC Standards to define the requisite knowledge, skills, and dispositions for teaching. Practicing teachers are familiar with the concepts of knowledge and skills, but they are less familiar with dispositions. Practicing teachers who mentor prospective teachers are underrepresented in the literature, but they are critical to teacher preparation. The research goals were to describe the self-identified dispositions of cooperating teachers, identify what cooperating teachers consider their role in preparing prospective teachers, and explain challenges that cooperating teachers face. Using a mixed methods design, I conducted a quantitative survey followed by a qualitative case study. When I compared survey and case study data, cooperating teachers report possessing InTASC critical dispositions described in Standard 2: Learning Differences, Standard 3: Learning Environments, and Standard 9: Professional Learning and Ethical Practice, but not Standard 6: Assessment and Standard 10: Leadership and Collaboration. Cooperating teachers assume the roles of modeler, mentor and advisor, and informal evaluator. They explain student teachers often lack skills and dispositions to assume full teaching responsibilities and recommend that universities better prepare candidates for classrooms. Cooperating teachers felt university evaluations were not relevant to teaching reality. I recommend modifying field experiences to increase the quantity and duration of classroom placements. I suggest further research to detail cooperating teacher dispositions, compare cooperating teachers who work with different universities, and determine if cooperating teacher dispositions influence student teacher dispositions.