Several complex variables are better than just one

In this popular expository article, we discuss some important ways in which complex analysis in more than one variable is different from complex analysis in one variable. Analytic continuation in several variables is contrasted with that in one variable, and the notion of psuedoconvexity is defined. Hartogs phenomenon and the Levi problem are also discussed in an informal way.     

Primary Teachers’ Reflections on Inquiry- and Context-Based Science Education

Inquiry- and context-based teaching strategies have been proven to stimulate and motivate students’ interests in learning science. In this study, 12 teachers reflected on these strategies after using them in primary schools. The teachers participated in a continuous professional development (CPD) programme. During the programme, they were also introduced to a teaching model from a European project, where inquiry- and context-based education (IC-BaSE) strategies were fused. The research question related to teachers’ reflections on these teaching strategies, and whether they found the model to be useful in primary schools after testing it with their students. Data collection was performed during the CPD programme and consisted of audio-recorded group discussions, individual portfolios and field notes collected by researchers. Results showed that compared with using only one instructional strategy, teachers found the new teaching model to be a useful complement. However, their discussions also showed that they did not reflect on choices of strategies or purposes and aims relating to students’ understanding, or the content to be taught. Before the CPD programme, teachers discussed the use of inquiry mainly from the aspect that students enjoy practical work. After the programme, they identified additional reasons for using inquiry and discussed the importance of knowing why inquiry is performed. However, to develop teachers’ knowledge of instructional strategies as well as purposes for using certain strategies, there is need for further investigations among primary school teachers.     

The impact of austerity on Irish higher education faculty

Given the impact of austerity on higher education systems, an intellectual concern with the impact of austerity on faculty seems appropriate. In this article, austerity is explored through the everyday lived experience of faculty and its impact on both their personal and professional contexts. This aspect has been under-researched in the higher education literature and addresses the complexities and contradictions that the austerity can create for faculty. The study located in the Republic of Ireland provides an interesting context as the global financial crisis in 2008 resulted in 9 years of austerity measures that impacted on all aspects of the economy and particularly on the higher education sector. A social realist approach using Archer’s morphogenetic framework was employed. The framework facilitated an in-depth understanding of the relationship between structure, culture and agency and how austerity was experienced by faculty within their institutions.     

Using Biomedically Relevant Multimedia Content in an Introductory Physics Course for Life Science and Pre-health Students

We will describe a one-quarter pilot algebra-based introductory physics course for pre-health and life science majors. The course features videos with biomedical experts and cogent biomedically inspired physics content. The materials were used in a flipped classroom as well as an all-online environment where students interacted with multimedia materials online and prior to engaging in classroom activities. Pre-lecture questions on both the medical content covered in the video media and the physics concepts in the written material were designed to engage students and probe their understanding of physics. The course featured group discussion and peer-lead instruction. Following in-class instruction, students engaged with homework assignments which explore the connections of physics and the medical field in a quantitative manner. Course surveys showed a positive response by the vast majority of students. Students largely indicated that the course helped them to make a connection between physics and the biomedical field. The biomedical focus and different course format were seen as an improvement to previous traditional physics instruction.     

Simulating Oppression: Digital Gaming,Race and the Education of African American Children

Educational game designers and educators are using digital games as a platform for teaching academic content, including multicultural curriculum. However, it is unclear how well digital game-based learning can coexist with the goals of multicultural education for the purpose of meeting the needs of African American children. In this essay, we raise serious questions about the use of digital games to teach about social oppression in ways that privilege the psychological well-being of African American children. We argue that digital games that intend to recreate histories of racial oppression can be harmful to African American children if they reproduce popular and problematic notions of indigenous lives and experiences. We illuminate some of the dangers of such digital games through a preliminary exploration of one digital game designed to teach about facets of African American enslavement. Our essay concludes with recommendations for culturally relevant digital game-based learning design and instruction.     

Cross-Informant Evaluations of Preschoolers’ Adjustment in Different Cultures

An accurate and agreed upon evaluation of preschoolers' behavior is crucial for young children's positive development. This study explores possible cultural differences in cross-informants’ evaluations. The premise is that informants who are from different cultures tend to give different evaluations of preschoolers’ adjustment and/or that the disparity size between informants differs across different cultures. Data on children’s kindergarten adjustment, early development and current behavior at home were collected among 135 Arab and Jewish Israeli preschoolers, as evaluated by their kindergarten teachers, parents, and independent observers who conducted home visits. The study findings indicate that, generally speaking, Arab children received more positive evaluations than Jewish children, with no significant gender or interaction effect. Nevertheless, that culture effect was non-significant when the teachers evaluated the children’s problem behavior. Thus, the current study results support the notion that profound bias may exist in adults’ evaluations of preschoolers.     

Partnerships in Learning: A Collaborative Project between Higher Education Students and Elementary School Students

Higher education and K-12 school partnerships are typically designed with an end-goal that serves the instructional needs of one group over the other. For this project, a university professor and elementary school instructor used problem-based and project-based learning strategies to design a curriculum that served the academic needs of both groups of students. Undergraduate students in an urban planning course partnered with elementary students from a local school to work on an interdependent civic engagement project. The partnership provided innovative, twenty-first teaching for both groups of students while also reinforcing public service.     

Student trajectories in physics: the need for analysis through a socio-cultural lens

An analysis of student connections through time and space relative to the core discipline of physics is attempted, as viewed through the lens of actor-network-theory, by Antonia Candela. Using lenses of cultural realities, networks, and perceived power in the discourse of one specific university in the capital city of Mexico and one undergraduate physics classroom, the trajectories and itineraries of students are analyzed, relative to a physics professor’s pedagogical practices. This ethnographic study then yields comparisons between Mexican undergraduate students and students from the United States. Actor network theory recognizes that the symbiotic relationship existing between an actor and a continuum of space and time is defined by the symbiotic yet interdependent relationships and networks of practice (Lemke in Downward causation: Minds, bodies, and matter 2000). As part of this study and in line with actor-network-theory, human actors and non-human participants were viewed in relation to how subjects acted and were acted upon within networks of practice. Through this forum I reflect on this work with particular focus on the issues of situatedness of actors from a sociocultural perspective and how established networks viewed within this perspective frame and subsequently impact student trajectories and itineraries. In essence I argue for a need to look at a myriad of further complexities driving the symbiotic relationships being analyzed.     

Types of reasoning in 3D geometry thinking and their relation with spatial ability

The aim of this study is to describe and analyse the structure of 3D geometry thinking by identifying different types of reasoning and to examine their relation with spatial ability. To achieve this goal, two tests were administered to students in grades 5 to 9. The results of the study showed that 3D geometry thinking could be described by four distinct types of reasoning which refer to the representation of 3D objects, spatial structuring, conceptualisation of mathematical properties and measurement. The analysis of the study also showed that 3D geometry types of reasoning and spatial abilities should be modelled as different constructs. Finally, it was concluded that students’ spatial abilities, which consist of spatial visualisation, spatial orientation and spatial relations factors, are a strong predictive factor of the four types of reasoning in 3D geometry thinking.