Teachers’ Concepts of Spatial Scale: An international comparison

Metric scale is an important concept taught as part of science curricula across different countries. This study explored metric and relative (body-length) scale concepts of inservice (N?=?92) and preservice (N?=?134) teachers from Austria, and Taiwan, and their concepts were compared with those of teachers from the USA. Participants completed three assessments: the Scale Anchoring Objects (SAO), Scale of Objects Questionnaire (SOQ), and a subsample of participants were interviewed with the Learning Scale Interview. A Rasch analysis was conducted with the SAO and SOQ and results showed that the Rasch model held for these assessments, indicating that there is an underlying common dimension to understanding scale. Further analyses showed that accuracy of knowledge of scale measured by the SAO and SOQ was not related to professional experience. There were significant differences in teachers’ accuracy of scale concepts by nationality. This was true for both metric and body-length SAO assessments. Post hoc comparisons showed that the Austrian and Taiwanese participants were significantly more accurate than the US sample on the SAO and SOQ. The Austrian participants scored significantly higher than the US and the Taiwanese participants. The results of the interviews showed that the Taiwanese experienced teacher participants were more likely to report learning size and scale through in-school experiences than the Austrian or the US participants. US teachers reported learning size and scale most often through participating in hobbies and sports, Taiwanese teachers reported learning scale through sports and reading, and Austrian teachers most often noted that they learned about scale through travel.     

History, Applications, and Philosophy in Mathematics Education: HAPh—A Use of Primary Sources

The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different ‘whys’ and ‘hows’ of including these three dimensions in mathematics education. Based on the observation that a use of history, applications, and philosophy as a ‘goal’ is best realized through a modules approach, the article goes on to discuss how to actually design such teaching modules. It is argued that a use of primary original sources through a so-called guided reading along with a use of student essay assignments, which are suitable for bringing out relevant meta-issues of mathematics, is a sensible way of realizing a design encompassing the three dimensions. Two concrete teaching modules on aspects of the history, applications, and philosophy of mathematics—HAPh-modules—are outlined and the mathematical cases of these, graph theory and Boolean algebra, are described. Excerpts of student groups’ essays from actual implementations of these modules are displayed as illustrative examples of the possible effect such HAPh-modules may have on students’ development of an awareness regarding history, applications, and philosophy in relation to mathematics as a (scientific) discipline.     

Biology Teachers Designing Context-Based Lessons for Their Classroom Practice—The importance of rules-of-thumb

In science education in the Netherlands new, context‐based, curricula are being developed. As in any innovation, the outcome will largely depend on the teachers who design and implement lessons. Central to the study presented here is the idea that teachers, when designing lessons, use rules‐of‐thumb: notions of what a lesson should look like if certain classroom outcomes are to be reached. Our study aimed at (1) identifying the rules‐of‐thumb biology teachers use when designing context‐based lessons for their own classroom practice, and (2) assessing how these personal rules‐of‐thumb relate to formal innovative goals and lesson characteristics. Six biology teachers with varying backgrounds designed and implemented a lesson or series of lessons for their own practice, while thinking aloud. We interviewed the teachers and observed their lessons. Our results suggest that rules‐of‐thumb, which differed substantially among the teachers, indeed to a great extent guide the decisions teachers make when designing (innovative) lessons. These rules‐of‐thumb were often strongly associated with intended lesson outcomes. Also, teachers’ personal rules‐of‐thumb were more powerful in determining the lesson design than formal innovative goals and lesson characteristics. The results of this study encourage more research into how rules‐of‐thumb reflect teachers’ practical knowledge, for which suggestions are made.     

Logical positivism as a tool to analyse the problem of chemistry's lack of relevance in secondary school chemical education

Secondary school chemical education has a problem: namely, the seeming irrelevance to the pupils of chemistry. Chemical education prepares pupils for participation in society. Therefore, it must imply a model of society, of chemistry, and of the relation between them. In this article it is hypothesized that logical positivism currently offers this model. Logical positivism is a philosophy of science that creates a divide between science and society. It is therefore further hypothesized that the adoption of logical positivism causes chemistry's lack of relevance in chemical education. Both hypotheses could be confirmed by an analysis of a grade nine course.     

Development of an Instrument Designed to Investigate Elements of Science Students’ Metacognition,Self‐Efficacy and Learning Processes: The SEMLI‐S

The development and evaluation of science students’ metacognition, learning processes and self‐efficacy are important for improving science education. This paper reports on the development of an empirical self‐report instrument for providing a measure of students’ metacognition, self‐efficacy and constructivist science learning processes. A review of the range of literature related to metacognition, self‐regulation and constructivist learning processes resulted in the development of an initial bilingual (English and traditional Chinese) instrument composed of 72 items. This instrument was completed by 465 Hong Kong high school students. The data collected were subjected to exploratory factor analysis and Rasch analysis. The subsequent refinement process resulted in a final version of the Self‐Efficacy and Metacognition Learning Inventory—Science (SEMLI‐S) consisting of 30 items that can be used for either analysing and focusing on any or all of its dimensions or for assigning scores to individuals that enable comparison between them in relation to their metacognitive science learning orientations.     

Expertise for Teaching Biology Situated in the Context of Genetic Testing

Contemporary genomics research will impact the daily practice of biology teachers who want to teach up-to-date genetics in secondary education. This article reports on a research project aimed at enhancing biology teachers’ expertise for teaching genetics situated in the context of genetic testing. The increasing body of scientific knowledge concerning genetic testing and the related consequences for decision-making indicate the societal relevance of an educational approach based on situated learning. What expertise do biology teachers need for teaching genetics in the personal health context of genetic testing? This article describes the required expertise by exploring the educational practice. Nine experienced teachers were interviewed about the pedagogical content, moral and interpersonal expertise areas concerning how to teach genetics in the personal health context of genetic testing, and the lessons of five of them were observed. The findings showed that the required teacher expertise encompasses specific pedagogical content expertise, interpersonal expertise and a preference for teacher roles and teaching approaches for the moral aspects of teaching in this context. A need for further development of teaching and learning activities for (reflection on) moral reasoning came to the fore. Suggestions regarding how to apply this expertise into context-based genetics education are discussed.     

Student Success in First-Year University Physics and Mathematics Courses: Does the high-school attended make a difference?

This paper considers school factors that contribute to a successful transition from high school to first-year university Physics courses at the University of British Columbia by employing a two-level hierarchical model. It is assumed that there is a relationship between student performance and the high school they graduated from. It is shown that school location and type affect student performance: students from public schools in the Metro Vancouver area perform better in first year compared to students from independent schools and schools in distant communities. The study also considers rankings of schools based on student performance in first-year university Physics and Calculus courses. These university-based rankings differ significantly (essentially in reverse order) from the well-known Fraser Institute rankings based on measures internal to high schools.     

Power Users and patchworking – An analytical approach to critical studies of young people’s learning with digital media

This paper sets out to problematise generational categories such as “Power Users” or “New Millennium Learners” by discussing these in the light of recent research on youth and information and communication technology. We then suggest analytic and conceptual pathways to engage in more critical and empirically founded studies of young people’s learning in technology and media‐rich settings. Based on a study of a group of young “Power Users”, it is argued that conceptualising and analysing learning as a process of patchworking can enhance our knowledge of young people’s learning in such settings. We argue that the analytical approach gives us ways of critically investigating young people’s learning in technology and media‐rich settings, and study if these are processes of critical, reflexive enquiry where resources are creatively re‐appropriated. With departure in an analytical example, the paper presents the proposed metaphor of understanding learning as a process of patchworking and discusses how we might use this to understand young people’s learning with digital media.

Les “Power Users” et la construction en “patchwork” – Une approche analytique des études critiques portant sur l’apprentissage chez les jeunes avec l’aide des médias numériques.

Le présent article vise à faire ressortir la problématique des catégories de générations, celles par exemple des “Power Users” ou des “Apprenants du Nouveau Millénaire” en les examinant de façon critique à la lumière des recherches récentes sur la jeunesse et les TICE. Nous suggérons ensuite des voies d’approche analytiques et conceptuelles pour nous engager dans des études plus critiques et plus solidement empiriques de l’apprentissage chez les jeunes dans des environnements à fort contenu technologique et médiatique. En nous appuyant sur l’étude d’un groupe de jeunes “Power Users”, on avance l’hypothèse selon laquelle le fait d’analyser et de conceptualiser l’apprentissage comme un processus de construction de patchwork peut améliorer notre connaissance de l’apprentissage chez les jeunes se trouvant dans de tels environnements. Nous avançons l’idée que cette approche analytique nous fournit les moyens d’étudier de façon critique l’apprentissage chez les jeunes se trouvant dans des environnements à fort contenu technologique et médiatique et de déterminer s’il s’agit là de processus de recherche critique et réflexive dans lequel ils se réapproprient les ressources de façon créative. En s’appuyant sur un exemple analytique, cet article présente une proposition, celle d’une métaphore pour comprendre l’apprentissage comme un processus de patchwork et discute de la façon dont nous pourrions l’ utiliser pour comprendre de quelle façon les jeunes apprennent avec les medias numériques.

?Power User“ und ?Patchworking“ – eine analytische Annäherung an kritische Studien über das Lernen junger Leute mit digitalen Medien

Dieser Artikel problematisiert generationspezifische Kategorien wie ?Power Users“ und ?New Millenium Learners“ welche hier vor dem Hintergrund der jüngsten Forschungsergebnisse im Bereich Jugend und Informations‐ und Telekommunikationstechnologie (ITK) diskutiert werden. Darauf aufbauend werden analytische und konzeptionelle Wege vorgeschlagen, wie auf empierischer und auf Fakten basierender Grundlage das Lernen junger Menschen in einem technologie‐ und medienreichen Umfeld studiert werden kann. Eine Gruppe junger ?Power Users“ ist die Grundlage unserer Argumentation, dass Konzeptionalisierung und Analyse des Patchwork Lernprozesses junger Leute unser Verständnis von ihrer Herangehensweise an den Lernprozess verbessern kann. Wir argumentieren, dass die analytische Herangehensweise uns hilft, das Lernen junger Leute im ITK Kontext zu analysieren und wir untersuchen, ob diese Prozesse kritisch und reflexiv sind und dazu beitragen, Ressourcen kreativ zu nutzen. Der Artikel schließt mit einem analytischen Beispiel in dem wir die zuvor diskutierte Metapher – Lernen als einen Patchworkprozess zu verstehen – nutzen, um zu diskutieren wie dieses Verständnis genutzt werden kann, um unser Wissen über das Lernen junger Leute mit digitalen Medien zu erweitern.

Los “Power Users” y la construcción en “patchwork” – Un enfoque analítico sobre los estudios críticos acerca del aprendizaje de los jóvenes con los medios digitales.

El propósito del presente artículo es de hacer resaltar la problemática de las categorías de generaciones, entre ellas los “Power Users” o los “discentes del Nuevo Milenio”, a través de una discusión de esas categorías a la luz de las últimas investigaciones sobre la juventud y las TICs. Sugerimos después algunos caminos analíticos y conceptuales para meterse en estudios con una base más crítica y más fuertemente empírica, del aprendizaje de los jóvenes en entornos con una fuerte dimensión tecnológica y mediatizada. Basandose en el estudio de un grupo de jovenes “Power Users”, se argumenta que el hecho de analizar y conceptualizar el aprendizaje como si fuese un proceso de “patchworking”, puede en realidad realzar nuestro conocimiento de la manera de aprender de los jovenes en entornos de ese tipo. Argumentamos que el enfoque analítico nos ofrece maneras de investigar críticamente el aprendizaje de los jóvenes dentro de entornos fuertemente tecnológicos y mediatizados y de estudiar si se trata de procesos de investigación crítica y reflexiva en los cuales se produce una re‐apropiación creativa de los recursos. Con una salida hacia un ejemplo analítico este artículo presenta la propuesta de una metáfora para entender el aprendizaje como si fuese un proceso de construcción de un “patchwork” con una discusión sobre las posibilidades de uso de esto para entender como los jóvenes aprender con los medios digitales.     

Theme and variations: one middle school’s interpretation of mandated action research

In the current climate of accountability, action research is one way for teachers to evaluate instructional changes designed to improve assessment results. It may become increasingly common for administrators to mandate teacher involvement in action research, yet few studies have been conducted in such settings. This article focuses on one middle school where the principal mandated action research for all teachers. Projects were carried out within academic departments, and department chairs were given latitude in how to organize and implement projects. This study explores project implementation and teacher perceptions of the action research. Interviews were used as an appropriate tool to explore teacher perceptions, with document analysis providing triangulation. Results from interviews of administrators, department chairs, and department members suggest an overall positive attitude toward action research, as well as variation in how action research projects were carried out. Differences occurred across several dimensions of action research, including context, motivation/ purpose, definition of action research, and organization of projects. Variations appeared to be influenced by each department chair’s experience with action research and approach to departmental work, and each department’s history of working together on instructional improvement efforts. This study suggests that administrators who mandate teacher participation in action research projects need to think about both the positive (providing teacher ownership and interest within the mandated context) and problematic (possibly leading to variation in the instructional impact of projects) aspects of project variation.