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This study investigated sixth-grade students' development of multidisciplinary models involving the integration of mathematics, science, and statistics, together with shared STEM practices. Mathematics and science featured a reciprocal relationship within the real-world context of tsunami inundation. Experimenting with water tubs comprising "landmasses" and "shore slopes" of varying angles, students explored how varying the slope of the shoreline affects the inundation distance. Given that organising and structuring data are essential to the creation of models as systems of representation, students' modelling revealed a basic understanding of key statistical concepts and processes, including variation and covariation, and an ability to identify trends both within and across data sets. Students were able to apply their learning in recommending ways of minimising the impact of a real-world tsunami, demonstrating how such an investigation can facilitate understanding of natural phenomena. The overall findings indicate how elementary-grade students can successfully engage in independent multidisciplinary modelling within integrated STEM investigations and develop important conceptual understandings in the process.

How might fourth graders address the problem of measuring the size of a leaf? And why might their classroom teachers choose such a shape to measure? One group of fourth-grade students in an urban Australian school were interested in knowing the sizes of leaves on a passionfruit vine growing at their school. The children were excited after a visit from an agricultural scientist, who shared his knowledge about photosynthesis. This article presents mathematical modeling explored in their classroom, as students explored ways to predict the surface area of a leaf (leaf size), within an agricultural science context involving fruit production. The first author and her co-teacher, who regularly shared teaching responsibilities, worked with an agricultural scientist in designing the inquiry for their fourth-grade class.

This article proposes an interconnected framework, "Ways of thinking in STEM-based Problem Solving," which addresses cognitive processes that facilitate learning, problem solving, and interdisciplinary concept development. The framework comprises critical thinking, incorporating critical mathematical modelling and philosophical inquiry, systems thinking, and design-based thinking, which collectively contribute to adaptive and innovative thinking. It is argued that the pinnacle of this framework is learning innovation, involving the generation of powerful disciplinary knowledge and thinking processes that can be applied to subsequent problem challenges. Consideration is first given to STEM-based problem solving with a focus on mathematics. Mathematical and STEM-based problems are viewed here as goal-directed, multifaceted experiences that (1) demand core, facilitative ways of thinking, (2) require the development of productive and adaptive ways to navigate complexity, (3) enable multiple approaches and practices, (4) recruit interdisciplinary solution processes, and (5) facilitate the growth of learning innovation. The nature, role, and contributions of each way of thinking in STEM-based problem solving and learning are then explored, with their interactions highlighted. Examples from classroom-based research are presented, together with teaching implications.

As STEM education becomes more prominent at the school level, many possibilities could be suggested for beginning experiences to create a foundation for young students as they begin their journeys with respect to STEM learning. The research reported here is based on the premise that building statistical understanding will enhance young students' learning as they engage with STEM learning experiences. This paper hence reports on an activity created to introduce students in Year 3 to the concept of statistical variation with data in a STEM-related context where variation occurs in an easily measured and realistic fashion. Students' capabilities to appreciate the fundamental nature of statistical variation and use it for comparison in a STEM context were assessed through responses in student workbooks, to questions on an end-of-year survey, and in individual interviews. The results illustrate the beginning stages of student thinking about variation and the use of data when learning is embedded within a STEM context. They show that students can take on the idea of variation and use it in explaining their experiences with the hands-on activity, which involved comparisons of a hand-made and machine-made product.

Science, technology, engineering, and mathematics (STEM) education is an emerging initiative in Australia, particularly in primary schools. This qualitative research aimed to understand Year 4 students' involvement in an integrated STEM education unit that focused on science concepts (e.g., states of matter, testing properties of materials) and mathematics concepts (e.g., 3D shapes and metric measurements) for designing, making and testing a strong and safe medical kit to insulate medicines (ice cubes) at desirable temperatures. Data collection tools included student work samples, photographs, written responses from students and the teacher, and researcher notes. In a post-hoc analysis, a pedagogical knowledge practice framework (i.e., planning, timetabling, preparation, teaching strategies, content knowledge, problem solving, classroom management, questioning, implementation, assessment, and viewpoints) was used to explain links to student outcomes in STEM education. The study showed how pedagogical knowledge practices may be linked to student outcomes (knowledge, understanding, skill development, and values and attitudes) for a STEM education activity.

This article reports on a 4th-grade problem activity implemented as part of a 4-year longitudinal, design research study across grades 3-6. The activity integrated the four STEM disciplines through a focus on design. Following investigations of their feet measurements and shoes, two classes of 9-year-olds explored the roles of designers and engineers in shoe manufacture, experimented with materials, and then designed and constructed their own pairs of shoes. A conceptual framework, "towards informed design" (adapted from Crismond and Adams in J Eng Educ 101(4):738-797, 2012), is advanced for exploring students' learning while designing. Drawing on this framework, consideration is given to students' use of design strategies, including posing their own problems and design aims, sketching their shoe designs, testing and reflecting on their products, and redesigning and reconstructing. Although more students expressed a desired shoe than a design problem to be solved, they nevertheless were able to develop their own design aims and constraints. Designing a functional and aesthetically pleasing shoe was most common, together with comfort. Material properties typically less accessible to young students (water repellent, durable, insulated) were also considered in their designs. Students' attention to detail in their design sketches (e.g., style features, 2-D and 3-D perspectives, measurements, materials) suggested they had progressed beyond beginning designers. Likewise, students' increased satisfaction with their redesigns, displaying knowledge of material properties, measurement and spatial skills, and design processes indicated progress towards informed design.

In this article, we report on sixth-grade students' responses to a set of problem activities that required the application of mathematics, science, and engineering knowledge in designing and constructing a paper bridge that could withstand an optimal load. Increasing students' application and awareness of their disciplinary learning and how they are applying this in an integrated STEM activity remains a challenge for educators. In addressing this issue, we included a focus on knowledge reflection and knowledge scaffolding through thought-provoking student workbooks. Among the findings are students' capabilities in planning, designing, reflecting, constructing, and redesigning. Students' planning indicated that they could justify their proposed bridge type/s, which often included a combination of types, by referring to their STEM understandings. At the same time, students remained cognizant of the problem boundaries. Students' design sketches indicated an awareness of the problem constraints, an understanding of basic engineering principles, and an application of mathematics and science knowledge. Students' reflections on their actions helped them to improve their bridge constructions. Suggestions are presented for knowledge scaffolding to facilitate the flexible and innovative application of STEM learning to new problem situations.

Navigating the current STEM agendas and debates is complex and challenging. Perspectives on the nature of STEM education and how it should be implemented without losing discipline integrity, approaches to incorporating the arts (STEAM) and how equity in access to STEM education can be increased are just a few of the many issues faced by researchers and educators. There are no straightforward answers. Opinions on how STEM education should be advanced vary across school contexts, curricula and political arenas. This position paper addresses five core issues: (a) perspectives on STEM education, (b) approaches to STEM integration, (c) STEM discipline representation, (d) equity in access to STEM education and (e) extending STEM to STEAM. A number of pedagogical affordances inherent in integrated STEM activities are examined, with the integration of modelling and engineering design presented as an example of how such learning affordances can be capitalized on.

As part of a 3-year longitudinal study, 136 sixth-grade students completed an engineering-based problem on earthquakes involving integrated STEM learning. Students employed engineering design processes and STEM disciplinary knowledge to plan, sketch, then construct a building designed to withstand earthquake damage, taking into account a number of constraints. On testing, students redesigned to build an improved structure. Using a framework of design processes, we report on the students' capabilities in planning, creating annotated sketches, and transforming these into 3D models. An understanding of core STEM concepts was apparent in their responses, including shape properties, stability, rigidity, balance, strength, and engineering techniques. Group problem solving involved moving iteratively between design phases, frequently revisiting problem scoping, being cognizant of the problem goal, boundaries and constraints, and appreciating design sketches as guiding constructions. Students were also observed to consider a number of problem components simultaneously, indicating their capabilities in handling the complexity of the task.

Nationally and internationally there have been calls for a focus on STEM (science, technology, engineering and mathematics) teaching and learning in schools to prepare students for the many future careers in the STEM fields. One way to do this is through engineering activities that provide opportunities for integrating STEM to solve problems using engineering design principles. Based on the Australian curriculum developed by the Australian Curriculum and Assessment Reporting Association (ACARA), the researchers designed an optical engineering activity for Year Five students (9-10 year olds) that was a culminating STEM activity in a unit of work focussing on light. The task required the application of mathematics, science and technology concepts to build an optical instrument that would enable students to see a hidden object or person. The study found that using an engineering design model that involved building, testing and re-designing, afforded students opportunities to demonstrate the application of core mathematics, science and technology concepts. This article describes firstly, the foundational work on light and optical engineering that preceded the engineering problem, and secondly, the engineering problem.

How do cross-bracing, geometry, and base isolation help buildings withstand earthquakes? These important structural design features involve fundamental geometry that elementary school students can readily model and understand. The problem activity, Designing an Earthquake-Resistant Building, was undertaken by several classes of sixth- grade students (10-11-year-olds) toward the end of a three-year STEM education program that began when they were in grade 4. Students learned about engineers, how they improve society, and how design processes help solve engineering-based problems.

Internationally there is a need for research that focuses on STEM (Science, Technology, Engineering and Mathematics) education to equip students with the skills needed for a rapidly changing future. One way to do this is through designing engineering activities that reflect real-world problems and contextualise students' learning of STEM concepts. As such, this study examined the learning that occurred when fifth-grade students completed an optical engineering activity using an iterative engineering design model. Through a qualitative methodology using a case study design, we analysed multiple data sources including students' design sketches from eight focus groups. Three key findings emerged: first, the collaborative process of the first design sketch enabled students to apply core STEM concepts to model construction; second, during the construction stage students used experimentation for the positioning of lenses, mirrors and tubes resulting in a simpler "working" model; and third, the redesign process enabled students to apply structural changes to their design. The engineering design model was useful for structuring stages of design, construction and redesign; however, we suggest a more flexible approach for advanced applications of STEM concepts in the future.

This commentary was stimulated by Yeping Li's first editorial (2014) citing one of the journal's goals as adding multidisciplinary perspectives to current studies of single disciplines comprising the focus of other journals. In this commentary, I argue for a greater focus on STEM integration, with a more equitable representation of the four disciplines in studies purporting to advance STEM learning. The STEM acronym is often used in reference to just one of the disciplines, commonly science. Although the integration of STEM disciplines is increasingly advocated in the literature, studies that address multiple disciplines appear scant with mixed findings and inadequate directions for STEM advancement. Perspectives on how discipline integration can be achieved are varied, with reference to multidisciplinary, interdisciplinary, and transdisciplinary approaches adding to the debates. Such approaches include core concepts and skills being taught separately in each discipline but housed within a common theme; the introduction of closely linked concepts and skills from two or more disciplines with the aim of deepening understanding and skills; and the adoption of a transdisciplinary approach, where knowledge and skills from two or more disciplines are applied to real-world problems and projects with the aim of shaping the total learning experience. Research that targets STEM integration is an embryonic field with respect to advancing curriculum development and various student outcomes. For example, we still need more studies on how student learning outcomes arise not only from different forms of STEM integration but also from the particular disciplines that are being integrated. As noted in this commentary, it seems that mathematics learning benefits less than the other disciplines in programs claiming to focus on STEM integration. Factors contributing to this finding warrant more scrutiny. Likewise, learning outcomes for engineering within K-12 integrated STEM programs appear under-researched. This commentary advocates a greater focus on these two disciplines within integrated STEM education research. Drawing on recommendations from the literature, suggestions are offered for addressing the challenges of integrating multiple disciplines faced by the STEM community.

Engineering-based modeling activities provide a rich source of meaningful situations that capitalize on and extend students' routine learning. By integrating such activities within existing curricula, students better appreciate how their school learning in mathematics and science applies to problems in the outside world. Furthermore, modeling problems are open to multiple approaches and solutions; thus, they encourage the creative, critical, and flexible thinking that is often lacking in more traditional textbook examples.

Background: Internationally, there is a growing concern for developing STEM education to prepare students for a scientifically and technologically advanced society. Despite educational bodies lobbying for an increased focus on STEM, there is limited research on how engineering might be incorporated especially in the elementary school curriculum. A framework of five comprehensive core engineering design processes (problem scoping, idea generation, design and construction, design evaluation, redesign), adapted from the literature on design thinking in young children, served as a basis for the study. We report on a qualitative study of fourth-grade students' developments in working an aerospace problem, which took place during the first year of a 3-year longitudinal study. Students applied design processes together with their mathematics and science knowledge to the design and redesign of a 3-D model plane. Results: The study shows that through an aerospace engineering problem, students could complete initial designs and redesigns of a model plane at varying levels of sophistication. Three levels of increasing sophistication in students' sketches were identified in their designs and redesigns. The second level was the most prevalent involving drawings or templates of planes together with an indication of how to fold the materials as well as measurements linked to the plane's construction. The third level incorporated written instructions and calculations. Students' engagement with each of the framework's design processes revealed problem scoping components in their initial designs and redesigns. Furthermore, students' recommendations for improving their launching techniques revealed an ability to apply their mathematics knowledge in conjunction with their science learning on the forces of flight. Students' addition of context was evident together with an awareness of constraints and a consideration of what was feasible in their design creation. Interestingly, students' application of disciplinary knowledge occurred more frequently in the last two phases of the engineering framework (i.e., design evaluation and redesign), highlighting the need for students to reach these final phases to enable the science and mathematics ideas to emerge. Conclusions: The study supports research indicating young learners' potential for early engineering. Students can engage in design and redesign processes, applying their STEM disciplinary knowledge in doing so. An appropriate balance is needed between teacher input of new concepts and students' application of this learning in ways they choose. For example, scaffolding by the teacher about how to improve designs for increased detail could be included in subsequent experiences. Such input could enhance students' application of STEM disciplinary knowledge in the redesign process. We offer our framework of design processes for younger learners as one way to approach early engineering education with respect to both the creation of rich problem experiences and the analysis of their learning.

The authors developed The Paper Plane Challenge as one of a three-part response to The Aerospace Engineering Challenge. The Aerospace Engineering Challenge was the second of three multi-part activities that they had developed with the teachers during the year. Their aim was to introduce students to the exciting world of engineering, where they could apply their learning of mathematics (measurement and geometry), science (force), and technology (design) to solve real-world problems. Students' appreciation and application of design processes underpinned the problem-solving activities throughout their STEM program. This article describes how the authors introduced design processes, worked with the students to develop the problem (explore; design, build, and test a paper airplane; redesign, rebuild, and retest), and challenges they encountered along the way.

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.

Implementing educational reform requires partnerships, and university-school collaborations in the form of investigative and experimental projects can aim to determine the practicalities of reform. However, there are funded projects that do not achieve intended outcomes. In the context of a new reform initiative in education, namely, science, technology, engineering and mathematics (STEM) education, this article explores the management of a government-funded project. In a university-school partnership for STEM education, how can leadership be distributed for achieving project outcomes? Participants included university personnel from different STEM areas, school teachers and school executives. Data collected included observations, interviews, resource materials, and video and photographic images. Findings indicated that leadership roles were distributed and self-activated by project partners according to their areas of expertise and proximal activeness to the project phases, that is: (1) establishing partnerships; (2) planning and collaboration; (3) project implementation; and (4) project evaluation and further initiatives. Leadership can be intentional and unintentional within project phases, and understanding how leadership can be distributed and self-activated more purposefully may aid in generating more expedient project outcomes. (Contains 1 table and 1 figure.)