Integrating engineering education within the elementary and middle school mathematics curriculum

Many nations are experiencing a decline in the number of graduating engineers, an overall poor preparedness for engineering studies in tertiary institutions, and a lack of diversity in the field. Given the increasing importance of mathematics, science, engineering, and technology in our world, it is imperative that we foster an interest and drive to participate in engineering from an early age. This discussion paper argues for the integration of engineering education within the elementary and middle school mathematics curricula. In doing so, we offer a definition of engineering education and address its core goals; consider some perceptions of engineering and engineering education held by teachers and students; and offer one approach to promoting engineering education within the elementary and middle school mathematics curriculum, namely through mathematical modeling.

Investigating functional thinking in the elementary classroom : foundations of early algebraic reasoning

This paper examines the development of student functional thinking during a teaching experiment that was conducted in two classrooms with a total of 45 children whose average age was nine years and six months. The teaching comprised four lessons taught by a researcher, with a second researcher and classroom teacher acting as participant observers. These lessons were designed to enable students to build mental representations in order to explore the use of function tables by focusing on the relationship between input and output numbers with the intention of extracting the algebraic nature of the arithmetic involved. All lessons were videotaped. The results indicate that elementary students are not only capable of developing functional thinking but also of communicating their thinking both verbally and symbolically.

Elementary teacher’s conceptions of inquiry teaching : messages for teacher development

The advocacy for inquiry-based learning in contemporary curricula assumes the principle that students learn in their own way by drawing on direct experience fostered by the teacher. That students should be able to discover answers themselves through active engagement with new experiences was central to the thinking of eminent educators such as Pestalozzi, Dewey and Montessori. However, even after many years of research and practice, inquiry learning as a referent for teaching still struggles to find expression in the average teachers' pedagogy. This study drew on interview data from 20 elementary teachers. A phenomenographic analysis revealed three conceptions of teaching for inquiry learning in science in the elementary years of schooling: (a) The Experience- centred conception where teachers focused on providing interesting sensory experiences to students; (b) The Problem-centred conception where teachers focused on challenging students with engaging problems; and (c) The Question-centred conception where teachers focused on helping students to ask and answer their own questions. Understanding teachers' conceptions has implications for both the enactment of inquiry teaching in the classroom as well as the uptake of new teaching behaviours during professional development, with enhanced outcomes for engaging students in Science.

Data modeling in elementary and middle school classes : a shared experience

This paper argues for a renewed focus on statistical reasoning in the elementary school years, with opportunities for children to engage in data modeling. Data modeling involves investigations of meaningful phenomena, deciding what is worthy of attention, and then progressing to organizing, structuring, visualizing, and representing data. Reported here are some findings from a two-part activity (Baxter Brown’s Picnic and Planning a Picnic) implemented at the end of the second year of a current three-year longitudinal study (grade levels 1-3). Planning a Picnic was also implemented in a grade 7 class to provide an opportunity for the different age groups to share their products. Addressed here are the grade 2 children’s predictions for missing data in Baxter Brown’s Picnic, the questions posed and representations created by both grade levels in Planning a Picnic, and the metarepresentational competence displayed in the grade levels’ sharing of their products for Planning a Picnic.

Engineering-based modelling experiences in the elementary classroom

Introducing engineering-based model-eliciting experiences in the elementary curriculum 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 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 indicate that engineering model-eliciting activities can be introduced effectively into the elementary curriculum, providing rich opportunities for students to deal with engineering contexts and to apply their learning in mathematics and science to solving real-world engineering problems.

Perspectives of teaching in Papua New Guinea : a case study of elementary teacher trainers and their mentors

Global and national agenda for quality education led to reform in Papua New Guinea (PNG) based on the provision of quality basic education. “Education for All” (EFA) is a worldwide emphasis on the review and restructure of existing curriculum and teacher training programs to provide quality education and quality life. The provision of quality education is seen as an investment in developing countries including PNG. Quality education is facilitated through structural and curriculum reform, and teacher education programs. One such influence on quality education in teacher education relates to perspectives of teaching. Existing research shows teachers’ beliefs and perceptions of teaching influence their practice (Kember & Kwan, 2000; Prosser & Trigwell, 2004). However, there is no research focusing on perspectives of teaching for elementary education in PNG. This single exploratory case study (Yin, 2009) investigated the perspectives of teaching of eighteen elementary teacher trainers and their five mentors in the context of an Australian university Bachelor of Early Childhood (in teacher education) degree programme. The study drew on an interpretivist paradigm to analyse journals, semi-structured interviews and course planning documents using a thematic approach to data analysis (Braun & Clark, 2006). The findings revealed that participants held perspectives of teaching related to teaching children and teaching adults. The perspective of teaching children described by the trainers and mentors was learning-centred (the focus is on what the teacher does); while the perspective of teaching adults was both learning-centred and learner-centred (the focus is on what the learner does). The learning-centred perspective is at odds with the learner-centred perspective espoused in the PNG reform. The perspectives of teaching adults reflected a culturally nuanced view; providing insights about how teaching and learning are understood in different sociocultural contexts. Based on these findings, the study proposes a perspective of teaching for elementary education in PNG known as culturally connected teaching. This perspective enables the co-existence of both the learning-centred and learner-centred perspectives of teaching in the PNG cultural context. This perspective has implications for teacher training and the communities involved in elementary education.

Safety enhancement of operator protection systems on self-propelled mining equipment

In the long term, with development of skill, knowledge, exposure and confidence within the engineering profession, rigorous analysis techniques have the potential to become a reliable and far more comprehensive method for design and verification of the structural adequacy of OPS, write Nimal J Perera, David P Thambiratnam and Brian Clark. This paper explores the potential to enhance operator safety of self-propelled mechanical plant subjected to roll over and impact of falling objects using the non-linear and dynamic response simulation capabilities of analytical processes to supplement quasi-static testing methods prescribed in International and Australian Codes of Practice for bolt on Operator Protection Systems (OPS) that are post fitted. The paper is based on research work carried out by the authors at the Queensland University of Technology (QUT) over a period of three years by instrumentation of prototype tests, scale model tests in the laboratory and rigorous analysis using validated Finite Element (FE) Models. The FE codes used were ABAQUS for implicit analysis and LSDYNA for explicit analysis. The rigorous analysis and dynamic simulation technique described in the paper can be used to investigate the structural response due to accident scenarios such as multiple roll over, impact of multiple objects and combinations of such events and thereby enhance the safety and performance of Roll Over and Falling Object Protection Systems (ROPS and FOPS). The analytical techniques are based on sound engineering principles and well established practice for investigation of dynamic impact on all self propelled vehicles. They are used for many other similar applications where experimental techniques are not feasible.

Teachers’ and children’s personal epistemologies for moral education : Case studies in early years elementary education

While there is strong interest in teaching values in Australia and internationally there is little focus on young children’s moral values learning in the classroom. Research shows that personal epistemology influences teaching and learning in a range of education contexts, including moral education. This study examines relationships between personal epistemologies (children’s and teachers’), pedagogies, and school contexts for moral learning in two early years classrooms. Interviews with teachers and children and analysis of school policy revealed clear patterns of personal epistemologies and pedagogies within each school. A whole school approach to understanding personal epistemologies and practice for moral values learning is suggested.