Social Affordances of Mixed Reality Learning Environments: A case from the Science through Technology Enhanced Play project (STEP)

We describe the design of the Science through Technology Enhanced Play (STEP) project. In STEP, we explore the potential for dramatic play—a form of activity that is particularly familiar to early elementary students—to promote meaningful inquiry about scientific concepts. We report on the first round of design experiments conducted with 120 first and second grade students who investigated how and why different states of matter have different properties. Pre-post analyses indicate that the majority of students learned the content and demonstrate how the affordances of the socio-technical system promoted the transition from individual observation to collective inquiry, how play as the root activity provided agency within that inquiry, and how the teacher and the social norms of the classroom reinforced these productive social processes

An Investigation of Sixth-grade Students\u27 Conceptualization of Angle and Angle Measure: A Retrospective Analysis of Design Research Study of a Real-world Context

A strong foundation in students’ understanding of the multifaceted nature of the angle concept is of paramount significance in understanding trigonometry and other advanced mathematics courses involving angles. Research has shown that sixth-grade students struggle understanding the multifaceted nature of the angle concept (Keiser, 2004). Building on existing work on students’ understanding of angle and angle measure and instructional supports, this study asks: How do sixth-grade students conceptualize angle and angle measure before, during, and after learning through a geometry unit of instruction set in a miniature golf context? What instructional supports contribute to sixth-grade students’ conceptualization of angle and angle measure in such a context? I conducted a retrospective analysis of existing data generated using design-based research methodology and guided by Realistic Mathematics Education (RME) theory. Using Cobb and Yackel’s (1996) Emergent Perspective as an interpretive framework, I analyzed transcripts of video and audio recordings from nine days of lessons in a collaborative teaching experiment (CTE), focusing on two pairs of students in sixth-grade mathematics classes. I also analyzed transcripts of pre-interviews before instruction, midway interviews during instruction, and post-interviews after instruction with each student in the two pairs. To answer research question one, I developed codes from data guided by the existing literature. For research question two, I used Anghileri’s (2006) levels of supports framework. Overall, the findings revealed that sixth-grade students conceptualized an angle as a static geometric figure defined by two rays meeting at a common point, and conceptualized angle measure through their body turns. In addition, Anghileri’s three levels of supports, such as the use of structured tasks, teacher’s use of probing questions, generation of conceptual discourse were evident in contributing to students’ conceptualization of angle and angle measure during the miniature golf geometry unit of instruction. The findings of this study have implications for the school mathematics curriculum, and how to teach and to prepare teachers to teach angle and angle measure. This study emphasizes the need to redefine the angle concept in the curriculum documents, the need to increase activities involving body turns and the use of Anghileri’s (2006) levels of supports in the teaching and learning of angle and angle measure in a real-world context. Further research is needed to identify instructional supports, in particular activities that can support students’ conceptualization of slopes and turns as angles in a real-world context

Intersubjectivity and groupwork in school mathematics: examining year 7 students’ interactions from a perspective of communicative action

This thesis explores how small group interactions around problem-solving in secondary school mathematics can be understood using a theoretical framework of Communicative Action inspired by Habermasian Critical Theory. How does cognition express itself socially? What are the technical features of communicative acts that afford access to the development of mutual understanding? A case study approach was used to investigate episodes of interactive speech acts. Participants included three Year 7 mathematics teachers and 87 students in 3 different English secondary schools, who were engaged in adopting aspects of a ‘Complex Instruction’ pedagogical approach to design and coordinate problem-solving groupwork. Tasks were collaboratively designed with the participating teachers, followed by participant observation of the lessons, and post-lesson interviews with the teachers. Small group interactions were recorded using Flip cameras at each table that captured audio and video of student interactions around the tasks, and whole class video was also recorded. Initial analysis of small group interactions led to the development of codes and models focused on understanding interactions from an intersubjective perspective informed by Habermas’ Theory of Communicative Action. These models and codes were then iteratively used to generate and refine analytical statements and working hypotheses from further interrogation of the data. The pragmatic focus of this study is on the content of episodes of utterances. These episodes are part of the intersubjective level at which teaching and learning take place. The findings from this analysis add to the field by developing a technical and critical treatment of evidence of intersubjectivity in mathematics education. Understanding the intersection of meaningful communication, action, and practices at the small group level is argued to provide novel insights into practice and design for problemsolving groupwork in mathematics education. The contributions of this thesis include the development of an Intersubjective Framework for Analysis of small group interactions, evidence that this framework can be productively used to identify ways in which the development of collaborative understanding expresses itself at the small group level, how it breaks down and how it can be supported. Methodologically this work makes a claim to knowledge in the development of microanalyses of situated cognition informed by Habermasian social theory. This work explores the merits and limitations of the communicative perspective in understanding small group interactions in mathematics problem-solving situations. A central claim is that Habermas’ sociological approach can be used productively to investigate small group interactions in mathematics classrooms. Theoretically this work makes a claim to knowledge in the development of a novel set of codes and models that can be used to analyse evidence of intersubjectivity through analysis of episodes of utterances in situ. This analytical framework is used to argue that small group interactions can be understood productively from a theoretical perspective of Communicative Action. These contributions suggest that insights from a perspective of Communicative Action can give educators critical pragmatic insights into curriculum design, structuring groupwork and associated pedagogy, and communicative (as opposed to instrumental or strategic) intervention in the support of intersubjective understanding

Plan-Draw-Evaluate (PDE) pattern in students' collaborative drawing: Interaction between visual and verbal modes of representation

The use of group drawing to promote student-generated representation is a common instructional strategy as it combines the benefits of using visual representation and collaborative talk. Although the affordances of group drawing have increasingly been emphasized in science education, few studies have investigated how drawing as a visual mode interacts with group discourse as a verbal mode as well as how that interaction facilitates the development of students' collective ideas. Informed by theories in classroom discourse and multimodality, this paper examines the interaction process between a verbal and visual mode of representation as groups of students engaged in collaborative drawing during guided science inquiry lessons. On the basis of the analysis of data from a science class that adopted group drawing, we found and documented a recurring pattern, Plan-Draw-Evaluate or PDE pattern, in how the interaction between the verbal and visual modes occurred during collaborative drawing. This PDE pattern consisted of a triad of moves that alternate between the two modes and fulfilled various discursive purposes, such as suggesting, requesting, recording, visualizing, elaborating, agreeing, and rejecting. The PDE pattern provided a basic social structure that facilitated the collaboration and progression of students' ideas. With illustrations of PDE patterns and its variations, we argue that the PDE pattern provides an insight into the dynamic organization of interactions involved in group drawing that takes into consideration the multimodal affordances of verbal and visual modes of representation and the progression of ideas developed through collaborative discourse

Professional development learning environments (PDLEs) embedded in a collaborative online learning environment (COLE): Moving towards a new conception of online professional learning

© 2018, Springer Science+Business Media, LLC, part of Springer Nature. Teaching, and education in general, remain firmly rooted in the practices of the past and continue to resist the implementation of strategies and theories arising from educational research. Consequently, significant reforms have been slow to take hold in educational systems around the world. Much of the reluctance can be attributed to a widely-held misconception of the nature of learning. This project attempts to address this misconception through the development of Professional Development Learning Environments (PDLEs are a series of learning tasks and a video-based case study) embedded in an online learning environment that requires the collaboration of users to solve problems. To use a Problem-Based-Learning (PBL) approach in an online context requires a major paradigm shift as well as using tools that were not designed specifically for such a student-driven, process-centred pedagogical paradigm. This becomes a problem when online resources and systems are used for supporting in-service teacher in their pursuit of furthering their education. Although the current theories of learning and teaching may present the philosophical content of such courses, the online strategies used often conflict with the theory. To study the formal implementation of PBL as a social-constructivist pedagogical approach, into an online learning environment to provide the tools for e-learning that would be closer in design to the current thinking on the very nature of learning, the PDLEs were modified to become small reusable video clips with a structure designed to facilitate PBL and focus learners’ attention on higher order thinking skills rather than specifically on content. These modified PDLEs are referred to as Problem-Based Learning Objects (PBLOs). The PBLOs were embedded into a prototype of a Collaborative Online Learning Environment (COLE) which was developed simultaneously. The entire system was pilot tested with small groups. Preliminary results show that although many technical difficulties remain to be solved, using the environment does show evidence of some effect on beliefs about personal theories of learning, causing shifts from technical issues to those surrounding processes of learning. Our preliminary research has called attention to the potential ability of PBLO/COLE to disrupt conventional, transmission-based conceptions of online learning as content delivery. At the same time, however, our preliminary work has also indicated that learners who are not used to the collaborative opportunities provided within PBLO/COLE may still hold traditional orientations to teaching and learning as a “gold standard” to which all other options are compared. A purposeful direction for our future research will entail working with learners in PBLO/COLE over a sustained period so that they may engage in an online experience grounded in principles of socio-constructivism

Elementary teachers’ participation in mathematics professional learning tasks

Recent work by some researchers has involved decomposing the profession of teaching into core practices that can be discussed and accessed by novice teachers that can help them gain expertise in these practices. Core practices are central to the work of teaching, support student learning, and are fundamental to developing complex practice. Evidence is beginning to emerge on the benefits of taking a core practice approach to preservice education; however,; little is known about how practicing teachers might improve their teaching through professional development taking a similar approach. The primary purpose of this study is to understand teachers’ learning in mathematics professional development focused on the core practice of leading mathematics discussions and their changes in classroom enactments of the practice. As a retrospective analysis of one cycle of a design experiment, the study investigated 13 K-5 teachers’ learning and enactments of the core practice of leading mathematics discussions as they engaged in practice-focused professional learning tasks that were a part of 108 hours of professional development designed to become increasingly more aligned with classroom practice in terms of authenticity and complexity. Qualitative and quantitative analyses of video recordings of professional development sessions, classroom observation, field notes, interviews, and teacher reflections were conducted to understand the nature of professional learning tasks that supports teacher learning the core practice of leading mathematics discussions. An analysis of teachers’ participation in the professional development suggests that the professional learning tasks designed for teachers to value mathematics discussions provided opportunities for teachers to value and appreciate the practice of leading mathematics discussions, develop deeper understandings of the instructional moves and challenge their existing classroom practice. Results suggest that over time, teachers formed a community of practice marked by the shared practice of a framework for leading discussions learned in the mathematics professional development to make sense of mathematics teaching and learning and making their own practice public for collective reflection. Findings from the study indicate that teacher enactments of leading mathematics discussions in the classrooms were marked by an increased presence of probing and pressing moves focused on student mathematical thinking. Outcomes have implications for district leaders making decisions about professional development, teacher educators working with teachers to enhance their instructional practice in professional development settings, and researchers examining teacher learning and instructional change

The Informal Language Learning of Female Saudi Undergraduates

Informal language learning provides opportunities to assimilate languages under natural conditions by providing authentic language learning materials: this is especially true in cases of drip-feed English in a foreign language context where English is not spoken outside the classroom. However, to date, informal language learning has not been as thoroughly investigated as a formal learning strategy due to certain difficulties in quantifying its effects and in observing learners outside the classroom. In light of this, the present interpretive study aimed to explore whether, and to what extent, female Saudi BA English language students engaged in informal language learning, the types of activities involved, and the materials they used to do so. The study also explored participant perceptions of the impact of informal language learning on their language proficiency. In order to fully interrogate the core research questions, this research design draws on a ‘mini ethnographic’ approach comprising two qualitative research methods (semi-structured interview and collected documents of examples of the activities used by the participants) for data collection. The study participant cohort consisted of eight female third- and fourth-year Saudi undergraduates, majoring in the English language. The ensuing data confirmed that these students employ various activities outside the classroom to learn English. In fact, the participants reported that the considerable time they maintained on informal language learning activities both assisted and supported their overall language learning and language development. In addition to social media, pop-songs, movies, other virtual materials such as TV programmes, were found to be the most commonly used informal language learning activities. The learning affordances arising from these activities were perceived to create numerous occasions and prospects to hone fluency and the accurate use of English. The participants specified a diversity of reasons for using informal language learning activities and materials: most notably, a sense of privacy and enhanced self-confidence in using the target language. Other factors included flexibility, portability, and the ubiquitous availability of tablets, mobile phones, and laptops, which offer greater learner privacy and control than the formal class setting. Moreover, the findings indicated that the participants find these types of activities more interesting. The study additionally reflected on the main difficulty encountered by Arab learners in adopting informal language learning from their perspective: namely, the significant lack of face-to-face English language usage in the Saudi context. The thesis concludes by offering practical recommendations for both language learners and TESOL teachers. The findings underscored learners’ belief that their use of informal language learning can provide an authentic source of language input to contribute to the development of overall language proficiency. I argue that English language teachers should promote more ‘natural’ extramural situations to extend student learning affordances beyond the paradigms of the traditional classroom environment

Footprints: Participant perspectives informing pedagogy for asynchronous online discussion in initial teacher education

This study looks at how students and staff experience asynchronous online discussion (AOD) within initial teacher education. The aim is to explore participant perspectives, including expectations of fellow participants, with a view to informing pedagogy, defined as the relationship between teaching and learning (Loughran, 2006). The underpinning argument is essentially that learning and teaching can be enhanced by awareness of how participants experience the situation. Understanding the complexities of AOD entails a better understanding of participants’ tacit reasoning, expectations, misunderstandings, and responses to tasks and behaviours (Brookfield & Preskill, 2005; Loughran, 2006). It is the situation as it is perceived which is central to the quality of teaching and learning, and this puts participants and their experiences at the centre of efforts to improve pedagogy and to enhance deep learning. This study is framed by sociocultural theory and phenomenography to explore AOD through the eyes of teacher educators and teacher education students in a specific teacher education context. Participants engaged in focus groups (face-to-face and online) and a series of semi-structured interviews, generating data about experiences and perspectives of AOD. Key findings show the need for participants in AOD to: establish expectations for purposeful communication; to maintain a presence for learning premised on formative interaction; and to work together in ways conducive to community and student leadership in pursuit of deep learning. This thesis adds to the limited research literature on teacher perceptions about online teaching (Spector, 2007), and makes a contribution to addressing the neglect of student approaches to study in higher education using eLearning technologies for discussion (Ellis et al, 2008; Jackson et al, 2010; Sharpe et al, 2010). The results contribute to knowledge in the field of online learning in initial teacher education by giving rise to specific pedagogical strategies for teachers and students in given situations, and by providing conceptual tools for participants when thinking about teaching and learning through AOD. Participant experiences function as footprints, picking out pathways as others make their way through AOD (Salmon, 2002)

Processing mathematical thinking through digital pedagogical media: the spreadsheet

Abstract This study is concerned with the ways mathematical understanding emerges when mathematical phenomena are encountered through digital pedagogical media, the spreadsheet, in particular. Central to this, was an examination of the affordances digital technologies offer, and how the affordances associated with investigating mathematical tasks in the spreadsheet environment, shaped the learning trajectories of the participants. Two categories of participating students were involved, ten-year-old primary school pupils, and pre-service teachers. An eclectic approach to data collection, including qualitative and quantitative methods, was initially undertaken, but as my research perspective evolved, a moderate hermeneutic frame emerged as the most productive way in which to examine the research questions. A hermeneutic process transformed the research methodology, as well as the manner in which the data were interpreted. The initial analysis and evolving methodology not only informed this transition to a moderate hermeneutic lens, they were constitutive of the ongoing research perspectives and their associated interpretations. The data, and some that was subsequently collected, were then reconsidered from this modified position. The findings indicated that engaging mathematical tasks through the pedagogical medium of the spreadsheet, influenced the nature of the investigative process in particular ways. As a consequence, the interpretations of the interactions, and the understandings this evoked, also differed. The students created and made connections between alternative models of the situations, while the visual, tabular structuring of the environment, in conjunction with its propensity to instantly manage large amounts of output accurately, facilitated their observation of patterns. They frequently investigated the visual nature of these patterns, and used visual referents in their interpretations and explanations. It also allowed them to pose and test their informal conjectures and generalisations in non-threatening circumstances, to reset investigative sub-goals easily, hence fostering risk taking in their approach. At times, the learning trajectory evolved in unexpected ways, and the data illustrated various alternative ways in which unexpected, visual output stimulated discussion and extended the boundaries of, or reorganised, their interaction and mathematical thinking. An examination of the visual perturbations, and other elements of learning as hermeneutic processes also revealed alternative understandings and explanations. Viewing the data and the research process through hermeneutic filters enhanced the connectivity between the emergence of individual mathematical understanding, and the cultural formation of mathematics. It permitted consideration of the ways this process influences the evolution of mathematics education research. While interpretive approaches are inevitably imbued with the researcher perspective in the analysis of what gets noticed, the research gave fresh insights into the ways learning emerges through digital pedagogical media, and the potential of this engagement to change the nature of mathematics education

Immersive Virtual Reality as a Tool to Make in K-12 Environments

Immersive Virtual Reality (VR) is beginning to be implemented into K-12 contexts. As this technology makes its way into more learning environments there is a need to not only understand how to address curricular goals with this technology, but which frameworks for learning best inform the use of this tool. In addition, previous research has called for a need to begin to explore how immersive VR can be used as a tool for creation in K-12 classrooms (Maas & Hughes, 2020). This multiple-case study aimed to address these needs by examining the use of VR as a tool to create digital artifacts with high school science educators through a professional development experienc