Complex modelling in the primary/middle school years

The world’s increasing complexity, competitiveness, interconnectivity, and dependence on technology generate new challenges for nations and individuals that cannot be met by continuing education as usual (Katehi, Pearson, & Feder, 2009). With the proliferation of complex systems have come new technologies for communication, collaboration, and conceptualisation. These technologies have led to significant changes in the forms of mathematical and scientific thinking that are required beyond the classroom. Modelling, in its various forms, can develop and broaden children’s mathematical and scientific thinking beyond the standard curriculum. This paper first considers future competencies in the mathematical sciences within an increasingly complex world. Next, consideration is given to interdisciplinary problem solving and models and modelling. Examples of complex, interdisciplinary modelling activities across grades are presented, with data modelling in 1st grade, model-eliciting in 4th grade, and engineering-based modelling in 7th-9th grades.

Engineering education in the middle school : exploring foundational structures

The recently released Mathematics, Engineering & Science in the National Interest report (May, 2012) highlights the universal perspective that an education in these disciplines is essential to a nation’s future prosperity. Although studies in STEM (Science, Technology, Engineering, Mathematics) are being implemented across many schools, progress to date has been slow especially with respect to incorporating engineering experiences in the middle and primary grades. Our concerns for the limited attention given to engineering in STEM and the low uptake of university engineering courses in universities, prompted us to conduct a longitudinal project on engineering education across grade levels 7-9.

Catapulting into STEM education : female students’ interactions within a middle school engineering project

Despite efforts to motivate students to engage in Science, technology, engineering and mathematics (STEM) education, women are still underrepresented in these areas in the workforce and higher education. Targeting females at high school or earlier may be a key towards engaging them in STEM. In this paper we report on the research question: How do middle school females interact for learning about engineering education? This ethnographic study, part of a three-year longitudinal research project, investigated Year 8 female students’ learning about engineering concepts associated with designing, constructing, testing, and evaluating a catapult. Through a series of lead-up lessons and the four lesson catapult challenge (total of 18 x 45-minute lessons over 9 weeks), data from two girls within a focus group showed that the students needed to: (1) receive clarification on engineering terms to facilitate more fluent discourse, (2) question and debate conceptual understandings without peers being judgemental, and (3) have multiple opportunities for engaging with materials towards designing, constructing and explaining key concepts learnt. Implications for teachers undertaking STEM education are evident, including outlining expectations for clarifying STEM terms, outlining to students about interacting non-judgementally, and providing multiple opportunities for interacting within engineering education.

How can Australia sustain middle school education?

Middle school is a crucial area of education where adolescents experiencing physiological and psychological changes, and require expert guidance. As more research evidence is provided about adolescent learning, teachers are considered pivotal to adolescents’ educational development. Reform measures need to be targeted at the inservice and preservice teacher levels. This quantitative study employs a 40-item, five part Likert scale survey to understand preservice teachers’ (n = 142) perceptions of their confidence to teach in a middle school at the conclusion of their tertiary education. The survey instrument was developed from the literature, with connections to the Queensland College of Teachers' professional standards. Results indicated that they perceived themselves as capable of creating a positive classroom environment with seven items greater than 80%, except with behaviour management (< 80% for two items), and they considered their pedagogical knowledge to be adequate (i.e., 7 out of 8 items > 84%). Items associated with implementing a middle school curriculum had varied responses (e.g., implementing literacy and numeracy were 74%, while implementing learning with real world connections was 91%). This information may assist coursework designers. For example, if a significant percentages of preservice teachers indicate that they believe they were not well prepared for assessment and reporting at the middle school level, then course designers can target these areas more effectively.

Straddling The Gap: A MIddle School Teacher's Journey Towards Good Geography

Research points to a gap between academic or disciplinary based geography and what is taught in secondary classes across the nation. This study documents a teacher’s journey and efforts to bring a more disciplinary approach to two suburban heterogeneous sixth grade geography classrooms. The researcher traces student perspectives on geography and facility with geographic reasoning as well as his own perspectives and pedagogy with respect to student data. The study attempts to map the space where school geography meets and interacts with disciplinary oriented geography based upon the Geography for Life National Geography Standards. Participants completed two sets of baseline assessments and two sets of end of year assessments as well as an initial intake survey. The seven primary participants were interviewed five times each throughout the academic school year and data were openly coded. The data suggest that students can learn geography and geographic reasoning from a disciplinary perspective. Students sharpened their geographic skills through deeper subject matter knowledge and developing spatial and ecological perspectives. The data also indicate that the teacher researcher faced considerable challenges in implementing a disciplinary approach to teaching geography. The coverage demands of a crowded history-centric curriculum together with ill-fitting resources required a labor-intensive effort to put together and execute this study. Study findings indicate that the path to good geography pedagogy can be impeded by a host of external and internal challenges. However, to forward thinking practitioners, the effort to straddle the gap between school geography and disciplinary-based geography may be well worth it.

Problem solving in a middle school robotics design classroom

Little research has been conducted on how students work when they are required to plan, build and evaluate artefacts in technology rich learning environments such as those supported by tools including flow charts, Labview programming and Lego construction. In this study, activity theory was used as an analytic tool to examine the social construction of meaning. There was a focus on the effect of teachers’ goals and the rules they enacted upon student use of the flow chart planning tool, and the tools of the programming language Labview and Lego construction. It was found that the articulation of a teacher’s goals via rules and divisions of labour helped to form distinct communities of learning and influenced the development of different problem solving strategies. The use of the planning tool flow charting was associated with continuity of approach, integration of problem solutions including appreciation of the nexus between construction and programming, and greater educational transformation. Students who flow charted defined problems in a more holistic way and demonstrated more methodical, insightful and integrated approaches to their use of tools. The findings have implications for teaching in design dominated learning environments.

Pre-service teacher education and the development of middle school teacher identity : an exploratory study

This research study investigated the factors that influenced the development of teacher identity in a small cohort of mature-aged graduate pre-service teachers over the course of a one-year Graduate Diploma program (Middle Years). It sought to illuminate the social and relational dynamics of these pre-service teachers’ experiences as they began new ways of being and learning during a newly introduced one-year Graduate Diploma program. A relational-ontological perspective underpinned the relational-cultural framework that was applied in a workshop program as an integral part of this research. A relational-ontological perspective suggests that the development of teacher identity is to be construed more as an ontological process than an epistemological one. Its focus is more on questions surrounding the person and their ‘becoming’ a teacher than about the knowledge they have or will come to have. Hence, drawing on work by researchers such as Alsup (2006), Gilligan, (1982), Isaacs, (2007), Miller (1976), Noddings, (2005), Stout (2001), and Taylor, (1989), teacher identity was defined as an individual pre-service teacher’s unique sense of self as a teacher that included his or her beliefs about teaching and learning (Alsup, 2006; Stout, 2001; Walkington, 2005). Case-study was the preferred methodology within which this research project was framed, and narrative research was used as a method to document the way teacher identity was shaped and negotiated in discursive environments such as teacher education programs, prior experiences, classroom settings and the practicum. The data that was collected included student narratives, student email written reflections, and focus group dialogue. The narrative approach applied in this research context provided the depth of data needed to understand the nature of the mature-aged pre-service teachers’ emerging teacher identities and experiences in the graduate diploma program. Findings indicated that most of the mature-aged graduate pre-service teachers came in to the one-year graduate diploma program with a strong sense of personal and professional selves and well-established reasons why they had chosen to teach Middle Years. Their choice of program involved an expectation of support and welcome to a middle-school community and culture. Two critical issues that emerged from the pre-service teachers’ narratives were the importance they placed on the human support including the affirmation of themselves and their emerging teacher identities. Evidence from this study suggests that the lack of recognition of preservice teachers’ personal and professional selves during the graduate diploma program inhibited the development of a positive middle-school teacher identity. However, a workshop program developed for the participants in this research and addressing a range of practical concerns to beginning teachers offered them a space where they felt both a sense of belonging to a community and where their thoughts and beliefs were recognized and valued. Thus, the workshops provided participants with the positive social and relational dynamics necessary to support them in their developing teacher identities. The overall findings of this research study strongly indicate a need for a relational support structure based on a relational-ontological perspective to be built into the overall course structure of Graduate Pre-service Diplomas in Education to support the development of teacher identity. Such a support structure acknowledges that the pre-service teacher’s learning and formation is socially embedded, relational, and a continual, lifelong process.

Towards a transdisciplinary approach to integrating dance in a middle school curriculum

Within Queensland middle schools the implementation of an integrated curriculum has been challenging for many practitioners. In working to enhance dance learning in a Queensland middle school this research has focused on how dance can be integrated using a transdisciplinary approach. The research has investigated and reflected on the teaching and learning strategies used to integrate dance and has identified the key issues and challenges associated with the complex nature of an integrated curriculum in this context. Action research was used to review, plan for and implement integrated curriculum approaches and give insight into the external and internal challenges within the practice. This research has identified challenges associated with sustaining the integrity of dance as a subject area when integration requires designing curricula that go across key learning area boundaries. It has also revealed working within an integrated curriculum requires using common planning principles that focus on the students’ problem solving skills, making connections with the concepts, topics or ideas from the unit of work. The discussion of ways of working highlights a set of values, strategies or attributes a dance teacher can use while working within this middle school context. These include making collaborative partnerships and showing a willingness to work outside your area of expertise. For the school community, it outlines issues for attention and recommendations to assist in implementing dance while using a transdisciplinary approach. These recommended steps include embedding opportunities for teachers to partake in common planning, and time for professional development around transdisciplinary learning and Arts education.

Middle school social sciences : exploring teachers’ conceptions of essential knowledge

This study examines teachers’ conceptions of essential knowledge in the humanities and social sciences, commonly referred to as "social education", in the middle years of schooling. Social education has long been a highly contested area of the curriculum in Australia. In Queensland, social education comprises the integrated learning area of Studies of Society and Environment (SOSE). However, the new Australian Curriculum marks a return to discipline-based study of history and geography. This phenomenographic study addresses a perceived lack of understanding in the current research literature in Australia of the nature of middle school teachers’ professional knowledge for teaching the social sciences. Teachers are conceptualised in this study as curriculum makers in the classroom and, as such, their conceptions of essential knowledge are significant. Shulman’s (1986, 1987) theory of teachers’ knowledge forms the theoretical foundation of the study, which is contextualised in Federal and State education policies and the literature on the middle phase of schooling. Transcripts of interviews conducted with a group of thirty-one Queensland middle school teachers of SOSE were subjected to phenomenographic analysis, revealing seven qualitatively different categories of description. Essential aspects of knowledge for social education emerging from the study were: (1) discipline-based knowledge; (2) curriculum knowledge; (3) knowledge derived from teaching experience; (4) knowledge of middle years learners; (5) knowledge of integration; (6) knowledge of current affairs; and (7) knowledge invested in teacher identity. The three dimensions of variation that linked and differentiated the categories were: (1) content; (2) inquiry learning; and (3) teacher autonomy. These findings are presented as an outcome space where the categories are grouped as knowledge of the learning area, knowledge of contexts and knowledge of self as teacher. The results of the study suggest that social education teachers’ identity and knowledge of self are critical aspects of their knowledge as curriculum makers. The results illustrate that the professional and personal domains intersect, extending Shulman’s (1986, 1987) original theorisation of teachers’ knowledge into the personal arena. Further, middle years teachers’ conceptions of essential knowledge reveal a practice-based theorisation of knowledge for social education that fits the goals of middle schooling. The research concludes that attention to teacher identity in teacher education and in-service professional development has considerable potential to grow teachers’ knowledge in the social sciences and enhance their capacity for school-based curriculum leadership.

Female students’ interactions in a middle school engineering project : a case study

Targeting females at high school or earlier may be a key towards engaging them in science, technology, engineering and mathematics (STEM) education. This ethnographic study, part of a three-year longitudinal research project, investigated Year 8 female students’ learning about engineering concepts associated with designing, constructing, testing, and evaluating a catapult. There was a series of lead-up lessons and four lessons for the catapult challenge (total of 18 x 45-minute lessons) over a nine-week period. Data from two girls within a focus group showed that they needed to: (1) receive clarification on engineering terms to facilitate more fluent discourse, (2) question and debate conceptual understandings without peers being judgemental, and (3) have multiple opportunities for engaging with materials towards designing, constructing and explaining key concepts learnt. There are implications for teachers facilitating STEM education, such as: clarifying STEM terms, articulating how students can interact in non-judgmental ways, and providing multiple opportunities for interacting within engineering education.

Engineering based problem solving in the middle school : design and construction with simple machines

Incorporating engineering concepts into middle school curriculum is seen as an effective way to improve students’ problem-solving skills. A selection of findings is reported from a science, technology, engineering and mathematics (STEM)-based unit in which students in the second year (grade 8) of a three-year longitudinal study explored engineering concepts and principles pertaining to the functioning of simple machines. The culminating activity, the focus of this paper, required the students to design, construct, test, and evaluate a trebuchet catapult. We consider findings from one of the schools, a co-educational school, where we traced the design process developments of four student groups from two classes. The students’ descriptions and explanations of the simple machines used in their catapult design are examined, together with how they rated various aspects of their engineering designs. Included in the findings are students’ understanding of how their simple machines were simulated by the resources supplied and how the machines interacted in forming a complex machine. An ability to link physical materials with abstract concepts and an awareness of design constraints on their constructions were apparent, although a desire to create a ‘‘perfect’’ catapult despite limitations in the physical materials rather than a prototype for testing concepts was evident. Feedback from teacher interviews added further insights into the students’ developments as well as the teachers’ professional learning. An evolving framework for introducing engineering education in the pre-secondary years is proposed.

Complex Modelling in the Primary and Middle School Years : An Interdisciplinary Approach

The world’s increasing complexity, competitiveness, interconnectivity, and dependence on technology generate new challenges for nations and individuals that cannot be met by continuing education as usual. With the proliferation of complex systems have come new technologies for communication, collaboration, and conceptualisation. These technologies have led to signifi cant changes in the forms of mathematical and scientifi c thinking required beyond the classroom. Modelling, in its various forms, can develop and broaden students’ mathematical and scientific thinking beyond the standard curriculum. This chapter first considers future competencies in the mathematical sciences within an increasingly complex world. Consideration is then given to interdisciplinary problem solving and models and modelling, as one means of addressing these competencies. Illustrative case studies involving complex, interdisciplinary modelling activities in Years 1 and 7 are presented.