Integrating Engineering Experiences within the Elementary Mathematics Curriculum

Engineering education for elementary school students is a new and increasingly important domain of research by mathematics, science, technology, and engineering educators. Recent research has raised questions about the context of engineering problems that are meaningful, engaging, and inspiring for young students. In the present study an environmental engineering activity was implemented in two classes of 11-year-old students in Cyprus. The problem required students to use the data to develop a procedure for selecting among alternative countries from which to buy water. Students created a range of models that adequately solved the problem although not all models took into account all of the data provided. The models varied in the number of problem factors taken into consideration and also in the different approaches adopted in dealing with the problem factors. At least two groups of students integrated into their models the environmental aspect of the problem (energy consumption, water pollution) and further refined their models. Results provide evidence that engineering model-eliciting activities can be successfully integrated in the elementary mathematics curriculum. These activities provide rich opportunities for students to deal with engineering contexts and to apply their learning in mathematics and science to solving real-world engineering problems.

Problem solving in the primary school (K-2)

This article focuses on problem solving activities in a first grade classroom in a typical small community and school in Indiana. But, the teacher and the activities in this class were not at all typical of what goes on in most comparable classrooms; and, the issues that will be addressed are relevant and important for students from kindergarten through college. Can children really solve problems that involve concepts (or skills) that they have not yet been taught? Can children really create important mathematical concepts on their own – without a lot of guidance from teachers? What is the relationship between problem solving abilities and the mastery of skills that are widely regarded as being “prerequisites” to such tasks?Can primary school children (whose toolkits of skills are limited) engage productively in authentic simulations of “real life” problem solving situations? Can three-person teams of primary school children really work together collaboratively, and remain intensely engaged, on problem solving activities that require more than an hour to complete? Are the kinds of learning and problem solving experiences that are recommended (for example) in the USA’s Common Core State Curriculum Standards really representative of the kind that even young children encounter beyond school in the 21st century? … This article offers an existence proof showing why our answers to these questions are: Yes. Yes. Yes. Yes. Yes. Yes. And: No. … Even though the evidence we present is only intended to demonstrate what’s possible, not what’s likely to occur under any circumstances, there is no reason to expect that the things that our children accomplished could not be accomplished by average ability children in other schools and classrooms.

Modeling as a bridge between real world problems and school mathematics

This article argues for an interdisciplinary approach to mathematical problem solving at the elementary school, one that draws upon the engineering domain. A modeling approach, using engineering model eliciting activities, might provide a rich source of meaningful situations that capitalize on and extend students’ existing mathematical learning. The study reports on the developments of 48 twelve-year old students who worked on the Bridge Design activity. Results revealed that young students, even before formal instruction, have the capacity to deal with complex interdisciplinary problems. A number of students created quite appropriate models by developing the necessary mathematical constructs to solve the problem. Students’ difficulties in mathematizing the problem, and in revising and documenting their models are presented and analysed, followed by a discussion on the appropriateness of a modeling approach as a means for introducing complex problems to elementary school students.

Elementary teachers’ knowledge of legislative and policy duties for reporting child sexual abuse

This study examined elementary school teachers’ knowledge of their legislative and policy-based reporting duties with respect to child sexual abuse. Data were collected from 470 elementary school teachers from urban and rural government and nongovernment schools in 3 Australian states, which at the time of the study had 3 different legislative reporting duties for teachers. Teachers completed the 8-part Teacher Reporting Questionnaire (TRQ). Multinomial logistic regression analysis was used to determine factors associated with (a) teachers’ legislation knowledge and (b) teachers’ policy knowledge. Teachers with higher levels of knowledge had a combination of pre- and in-service training about child sexual abuse and more positive attitudes toward reporting, held administration positions in their school, and had reported child sexual abuse at least once during their teaching career. They were also more likely to work in the state with the strongest legislative reporting duty, which had been in place the longest.

The spatialized practices of teaching writing in Australian elementary schools : diverse students shaping discoursal selves

This paper discusses the teaching of writing within the competing and often contradictory spaces of high-stakes testing and the practices and priorities around writing pedagogy in diverse school communities. It uses socio-spatial theory to examine the real-and-imagined spaces (Soja, 1996) that influence and are influenced by teachers’ pedagogical priorities for writing in two linguistically diverse elementary school case studies. Methods of critical discourse analysis are used to examine rich data sets to make visible the discourses and power relations at play in the case schools. Findings show that when teachers’ practices focus on the teaching of structure and skills alongside identity building and voice, students with diverse linguistic backgrounds can produce dramatic, authoritative and resonant texts. The paper argues that “thirdspaces” can be forged that both attend to accountability requirements, yet also give the necessary attention to more complex aspects of writing necessary for students from diverse and multilingual backgrounds to invest in writing as a creative and critical form of communication for participation in society and the knowledge economy.

Elementary Principals' Perceptions of a Leadership Development Training Program

Research indicates that school leaders are crucial to improving instruction and raising student achievement (Council of Chief State School Officers, 2008). As such, educational reforms such as the No Child Left Behind Act (2001) and Race to the Top (2009) have sparked an accountability movement where principals are being held accountable for students' academic achievement and educational outcomes. The shift towards greater accountability has placed new attention on the ways principals are trained. Researchers have noted that organized professional development programs have not adequately prepared school principals to meet the priority demands of the 21st century (Hale & Moorman, 2003; Murphy, 1994). Murphy (1994) stated, "Traditional preparation programs - usually pre-service programs based in colleges or universities, that awarded certification and advanced degrees - rarely concentrated on the leadership challenges that principals actually face in real schools" (p. 4). As a result, many school districts are seeking ways to develop leadership development training programs that will prepare principals for their job responsibilities as a school leader. In spite of the additional training principals receive, researchers suggests that there is an obvious gap between the readiness of administrators to be instructional leaders and the demands for accountability that school administrators face (Hale & Moorman, 2003). This quantitative study examined elementary school principals' perceptions of their leadership development training program. Guided by four research questions, the study examined principals' perceptions of their overall training and how well their training prepared them to deal with school and classroom practices that contribute to student achievement; to work with teachers and others to design and implement a system for continuous student achievement; and to provide necessary support to carry out sound school, curriculum, and instructional practices. Data for this study was collected by way of survey responses from a total of 46 elementary school principals. The results from the study revealed that more than half (58.7%) of participants perceived their training as excellent. While principals' perceived that their training adequately prepared them to work collaboratively in teams, set clear visions and goals, and to use data to improve students achievement, many respondents reported a lack of training in being informed and focused on student achievement. Principals also suggested that they were not effectively trained in finding effective ways to obtain support from central office or community members.

Preservice Elementary Teachers’ Beliefs toward Mathematics and Mathematics Teaching

As they began their one-year teacher education program 138 elementary school teacher candidates completed a questionnaire designed to measure their beliefs concerning the nature of mathematics, measured on a scale from absolutist to fallibilist, and their beliefs concerning effective mathematics instruction, measured on a scale from traditional to constructivist. Interviews were conducted with volunteer questionnaire participants, with selection based on the questionnaire results and using two sets of criteria. Study 1. involved 8 teacher candidates showing distinct absolutist or fallibilist views of mathematics and individual interviews explored participants' beliefs concerning the use of information and communication technology, particularly interactive whiteboards (IWB), in the teaching and learning of mathematics. Participants with absolutist beliefs about the nature of mathematics tended to focus on the IWB as a presentation tool, while those with fallibilist beliefs appreciated the use of the IWB to support student exploration. Study 2. involved 8 teacher candidates with apparently misaligning absolutist beliefs concerning the nature of mathematics and constructivist beliefs concerning teaching. Interviews exploring participants' favoured instructional approaches, particularly those involving the use of manipulatives, showed that constructivist views involved essentially surface beliefs and that in fact manipulatives would be employed to support traditional direct instruction.

Education and the 'universalist' idiom of empire: Irish National School Books in Ireland and Ontario

This paper compares the founding of the elementary school systems of Ireland and Ontario in the nineteenth century. The systems shared a common set of textbooks that had originated in Ireland. Using examples from a number of these books, which were part of a series that had been specially prepared for the Irish national school system, founded in 1831, and information from archive sources on policy and administration in both countries, the paper argues that there was a common, ‘universalist’, imperialist ideology being promulgated in both systems. The article focuses on these ‘universalist’ principles rather than undertaking a detailed analysis of the textbooks.

Citizenship training in school from the perspective of future primary education teachers

The aim of this paper is to recognize the images that prospective elementary school teachers have about citizenship and citizenship education in school. The qualitative methodology with an ethnographic approach is used for that deep interview of ethnographic kind and analysis of institutional documents, for example, curricula, course syllabus and graduated profi le. The revision of documents helps to a better understanding of discourses. The analysis of the corpus obtained after the application of the paradigm of codifi cation proposed in the established theory. As the principal fi ndings we way point out that the concept of citizens that is common among prospective elementary school teachers is reduced to the school environment because they consider that the promotion of citizenship helps to the incorporation of children to society, thus reproducing a propaedeutic view of education.

Improving children's attitudes toward refugees: An evaluation of a school-based multicultural curriculum and an anti-racist intervention

We evaluated the impact of the Friendship Project, a program designed to improve elementary school children's attitudes toward refugees. Participants either received 4 weekly lessons based on the program, or they received no lessons. All participants completed attitude measures before and after implementation of the program. Half completed the post-test 1 week after completion of the program, while the other half completed the post-test 7 weeks after its completion. The program led to more positive attitudes toward refugees in the short term, but not in the long term. Moreover, although it did not increase empathy, the program increased the proportion of participants who preferred an acculturation strategy of integration and reduced the number of participants who had conflictual acculturative fit.

A Randomized Controlled Trial Evaluation of an After-School Pro-Social Behavior Program in an Area of Socioeconomic Disadvantage

A randomized controlled trial was used to evaluate the effects of a pro-social behavior after-school program called Mate-Tricks for nine and ten year old children and their parents living in an area of significant socioeconomic disadvantage. The children were randomly assigned to an intervention (n=220) or a control group (n=198). Children were compared on measures of pro-social behavior, anti-social behavior and related outcome measures. The trial found adverse effects on four outcomes among the intervention group compared to the control group: anti-social behavior increased on two different measures (d=+0.20) and (d=+0.18); child reported liberal parenting increased (d=+0.16); and child reported authoritarian parenting also increased (d=+0.20). In addition, parental participation was significantly associated with several program outcomes. It was concluded, that group based after-school behavior programs may have the potential to cause iatrogenic effects and must be designed, piloted, evaluated and implemented with a high degree of care.

An investigation into the physical and psychological stress factors that elementary teachers experience : recommendations to boards and personal calming strategies /

The prlmaiy objective of this study was to Identify and describe the physical and psychological stress factors that elementary school teachers experience and how teachers cope with stress. A secondary objective was to offer boards and teachers potential coping strategies counteracting stress and the effects of stress. The sample consisted of 120 elementaiy teachers from southern Ontario. Ten elementaiy schools were randomly chosen. The Teacher Stress Inventory questionnaire (Flmian, 1989) was used. Data were analyzed using a variety of statistics. Test norms and interpretations were performed based on standard results obtained from the author of the questionnaire (Flmian, 1988). Overall, the results indicated that work-related stressors were the main factor for teacher stress. This Included such factors as caseload/class is too big, too much administrative paperwork, and having little time to prepare lessons. Implications for further research and practical suggestions for further reseairch are discussed. Also a variety of recommendations to boards and for individual use are discussed. Some recommendations are having counselling available for teachers, workshops on how to handle stress, and learning how to breathe and using calm visualization.

Mentorships and co-op placements as a means of heightening the need for a secondary school diploma to the education of at-risk students.--

Both educators and politicians appear to be quite concerned about a dropout rate in Ontario's public schools of some 30 percent. With the basic understanding that a high dropout rate is costly both in economic terms and in human terms, something quite obviously needs to be done to reduce the dropout rate in Ontario schools and, in doing so, ensuring Ontario and its graduates an active role in a growing global economy. This study is an exploratory pilot study in that it examined mentoring and the role that mentoring can play in assisting a student in staying in school and graduating from secondary school. Also incorporated in this is co-operative education and the role it can play, through mentoring, in making students aware of lifestyle level of employment, and of the skills necessary to obtain gainful, meaningful employment. In order to gain information on student attitudes, needs and expectations of a mentoring situation, a series of three questionnaires was used. Also, a questionnaire was distributed to the various co-operative education employers. The intent of this questionnaire was to probe the attitudes, needs and expectations of a mentoring situation from the perspective of an employer. The findings of this study indicated that co-operative education and mentoring are a very valuable and useful component in education. There exist certain factors in a co-operative education setting that serve to enhance and to augment the traditional or "theoretical" setting of the classroom. In addition, a mentoring situation tends to add a sense of relevance to education that students seem to require. Also, an opportunity is offered that allows a student to practice and further refine the skills that have been taught over the course of the student's academic life. Results from this study suggested that a mentoring situation, occurring through a co-operative education situation, adds relevance and a sense of "application" to the traditional or classroom schooling situation. The whole idea of mentoring bodes well for the future of education and of the student. Many advantages are identified in a mentoring situation. One of the advantages is that the schools are able to work quite closely with the community and business in order to stay current and informed on the needs and expected needs of the business community. Co-operative education has now gone beyond being an "experimental" mode of education. All students can benefit from being involved in the program. Certainly at-risk students are aided with staying in school. Those students who are said to be not at-risk can also benefit from being enrolled in the program by gaining hands-on work experience and some of the necessary skills to ensure a place in a growing world economy.

Transforming curriculum leadership: vice principals in independent Christian elementary schools /

The literature on the vice principalship characterizes the position as one filled with clerical record keeping and student discipline and paints a picture of role conflict and general discontent. Research suggests that vice principals desire to take on a more significant role, specifically a role in curriculum leadership. Using open-ended interviews, a focus group interview, document analysis, and my research journal, I have explored the work ofa group of vice principals who have taken on the role of curriculum leader in independent Christian elementary schools in Ontario. When asked to explain their understanding of curriculum, the participants referred to written programs of study. However, their leadership activities reveal a broader understanding of curriculum as something that is in fact dynamic in nature. This leadership is enabled and shaped by their middle position on staff that combines the authority of an administrator and the credibility of a teacher. Although this dual identity creates tension, it also provides opportunities for genuine curriculum leadership. As middle leaders, the participants in this study often pull together or connect elements of the curriculum (teachers, principals, and programs) that have become separated. Such connective leadership is characterized by transformational (Van Brummelen, 2002) tendencies. This research suggests that the further along the continuum one goes from the understanding of curriculum as planned (Eisner, 1994) to acknowledging a lived curriculum (Aoki, 1993), the more transformational one's leadership style becomes.

Comprehensive school health, the social determinants of health, and the health status of children

As children are becoming increasingly inactive and obese, there is an urgent need for effective early prevention and intervention programs. One solution is a comprehensive school health (CSH) program, a health promotion initiative aimed at educating students about healthy behaviours and lifestyles, which also provides a link between the school, students, families, and the surrounding community. The purpose of this study was to explore the relationship between different components of CSH programs, as well as three determinants of health (gender, social support, socio-economic status), and physical activity, on the aerobic fitness and body mass index (BMI) of children. A newly developed and pilot-tested survey derived from Health Canada's fourpart CSH model (instruction, social support, support services, and a healthy physical environment) was sent to elementary school principals. Data on the gender, physical activity, parental education, and social support levels of students from these schools were gathered from a previous study. Multiple regression procedures were conducted to estimate the relationships between CSH components, the social determinants of health, physical activity, and BMI and aerobic fitness. Results showed that three CSH components were significantly associated with both BMI and aerobic fitness values in children, but accounted for less than 5% of the variance in both variables. Physical activity partially mediated the relationship between the significant CSH components, BMI, and particularly aerobic fitness. Furthermore, the social determinant and physical activity variables played independent roles in aerobic fitness values. No moderating effects of the social determinants were discovered.