Media Education in the Finnish School System : A Conceptual Analysis of the Subject Didactic Dimension of Media Education

The aim of the doctoral dissertation was to further our theoretical and empirical understanding of media education as practised in the context of Finnish basic education. The current era of intensive use of the Internet is recognised too. The doctoral dissertation presents the subject didactic dimension of media education as one of the main results of the conceptual analysis. The theoretical foundation is based on the idea of dividing the concept of media education into media and education (Vesterinen et al., 2006). As two ends of the dimension, these two can be understood didactically as content and pedagogy respectively. In the middle, subject didactics is considered to have one form closer to content matter (Subject Didactics I learning about media) and another closer to general pedagogical questions (Subject Didactics II learning with/through media). The empirical case studies of the dissertation are reported with foci on media literacy in the era of Web 2.0 (Kynäslahti et al., 2008), teacher reasoning in media educational situations (Vesterinen, Kynäslahti - Tella, 2010) and the research methodological implications of the use of information and communication technologies in the school (Vesterinen, Toom - Patrikainen, 2010). As a conclusion, Media-Based Media Education and Cross-Curricular Media Education are presented as two subject didactic modes of media education in the school context. Episodic Media Education is discussed as the third mode of media education where less organised teaching, studying and learning related to media takes place, and situations (i.e. episodes, if you like) without proper planning or thorough reflection are in focus. Based on the theoretical and empirical understanding gained in this dissertation, it is proposed that instead of occupying a corner of its own in the school curriculum, media education should lead the wider change in Finnish schools.

A classification of homogeneous operators in the Cowen-Douglas class

An explicit construction of all the homogeneous holomorphic Hermitian vector bundles over the unit disc D is given. It is shown that every such vector bundle is a direct sum of irreducible ones. Among these irreducible homogeneous holomorphic Hermitian vector bundles over D, the ones corresponding to operators in the Cowen-Douglas class B-n(D) are identified. The classification of homogeneous operators in B-n(D) is completed using an explicit realization of these operators. We also show how the homogeneous operators in B-n(D) split into similarity classes. (C) 2011 Elsevier Inc. All rights reserved.

Finding space to mental health : promoting mental health in adolescents (12 to 14 year olds): preliminary results of the intervention's effectiveness

Resumen: La salud mental y el bienestar son fundamentales para nuestra capacidad colectiva y individual como seres humanos de pensar, de exteriorizar los sentimientos, de establecer y mantener relaciones, para estudiar, para perseguir las actividades de ocio, para tomar decisiones diarias y para disfrutar de una vida plena. Una adolescencia saludable es un prerrequisito para una vida adulta saludable. Sin embargo, la realidad actual presenta un panorama preocupante. La formación del capital mental individual y colectivo - especialmente en las primeras etapas de la vida - está siendo retenida por una serie de riesgos evitables para la salud mental (World Health Organization [WHO], 2013). Los adolescentes del sur de Europa (región que ha sido más severamente afectada por la crisis financiera; e.g., Portugal) son señalados como un grupo extremadamente vulnerable, ya que su salud mental fácilmente podría ser influenciada por las dificultades económicas de sus padres y la escasez de solidaridad social (European Parliament, 2012). La promoción de la salud mental de los adolescentes es considerada como una preocupación fundamental (WHO, 2005a, 2013). En este ámbito, las intervenciones centradas en la promoción de la literacía de la salud mental han revelado importantes ventajas en la prevención, reconocimiento, intervención precoz y la reducción del estigma (Pinfold, Stuart, Thornicroft & Arboleda-Florez, 2005; Pinfold, Toulmin, Thornicroft, Huxley, Farmer & Graham, 2003; Schulze, Richter-Werling, Matschinger & Angermeyer, 2003; Stuart, 2006). En consonancia con los marcos de promoción de la salud mentales propuestos por la Organización Mundial de la Salud (2005a), tenemos que involucrar a jóvenes en los ambientes donde interactúan (Burns, 2011). Las escuelas son implícitamente uno de los locales más importantes para la promoción de la salud mental de los adolescentes (Barry, Clarke, Jenkins & Patel, 2013; WHO, 2001). El proyecto “Abrir Espacio para la Salud Mental – Promoción de la salud mental en adolescentes (12-14 años)” tiene como objetivo incrementar literacía de la salud mental en los jóvenes. En el primer año se ha desarrollado un instrumento de evaluación - Mental Health Literacy questionnaire (MHLq) - y la intervención para la promoción de la salud mental. La intervención consiste en 2 sesiones, 90 minutos cada una, implementadas con intervalo de una semana. Siguen una metodología interactiva, utilizando dinámicas de grupo, videos, música y discusión. El estudio de la eficacia de la intervención se lleva a cabo mediante un análisis pre y pos-test con el MHLq, utilizando un grupo experimental y un grupo de control. Este artículo presenta los resultados preliminares de la eficacia de la intervención de promoción de la salud mental en una muestra de 100 adolescentes portugueses (12-14 años). El pos-test mostró un incremento de los niveles de conocimientos de salud mental y estrategias de autoayuda. Los resultados sugieren que la intervención desarrollada parece ser adecuada al objetivo propuesto y refuerzan la creencia de que intervenciones escolares, sistemáticas y sostenibles, para la promoción de la salud mental con jóvenes, es un enfoque prometedor para la promoción de la literacía de la salud mental (Schulze et al., 2003; Rickwood et al., 2005; Corrigan et al., 2007; WHO, 2010).

Resources consulted and useful for Information Literacy

Bibliography and list of resources to accompany Information Literacy presentation by Natalie Wiest, presented at the 20th Annual SAIL meeting.

An investigation of post-primary students' images of mathematics

This research study investigates the image of mathematics held by 5th-year post-primary students in Ireland. For this study, “image of mathematics” is conceptualized as a mental representation or view of mathematics, presumably constructed as a result of past experiences, mediated through school, parents, peers or society. It is also understood to include attitudes, beliefs, emotions, self-concept and motivation in relation to mathematics. This study explores the image of mathematics held by a sample of 356 5th-year students studying ordinary level mathematics. Students were aged between 15 and 18 years. In addition, this study examines the factors influencing students‟ images of mathematics and the possible reasons for students choosing not to study higher level mathematics for the Leaving Certificate. The design for this study is chiefly explorative. A questionnaire survey was created containing both quantitative and qualitative methods to investigate the research interest. The quantitative aspect incorporated eight pre-established scales to examine students‟ attitudes, beliefs, emotions, self-concept and motivation regarding mathematics. The qualitative element explored students‟ past experiences of mathematics, their causal attributions for success or failure in mathematics and their influences in mathematics. The quantitative and qualitative data was analysed for all students and also for students grouped by gender, prior achievement, type of post-primary school attending, co-educational status of the post-primary school and the attendance of a Project Maths pilot school. Students‟ images of mathematics were seen to be strongly indicated by their attitudes (enjoyment and value), beliefs, motivation, self-concept and anxiety, with each of these elements strongly correlated with each other, particularly self-concept and anxiety. Students‟ current images of mathematics were found to be influenced by their past experiences of mathematics, by their mathematics teachers, parents and peers, and by their prior mathematical achievement. Gender differences occur for students in their images of mathematics, with males having more positive images of mathematics than females and this is most noticeable with regards to anxiety about mathematics. Mathematics anxiety was identified as a possible reason for the low number of students continuing with higher level mathematics for the Leaving Certificate. Some students also expressed low mathematical self-concept with regards to higher level mathematics specifically. Students with low prior achievement in mathematics tended to believe that mathematics requires a natural ability which they do not possess. Rote-learning was found to be common among many students in the sample. The most positive image of mathematics held by students was the “problem-solving image”, with resulting implications for the new Project Maths syllabus in post-primary education. Findings from this research study provide important insights into the image of mathematics held by the sample of Irish post-primary students and make an innovative contribution to mathematics education research. In particular, findings contribute to the current national interest in Ireland in post-primary mathematics education, highlighting issues regarding the low uptake of higher level mathematics for the Leaving Certificate and also making a preliminary comparison between students who took part in the piloting of Project Maths and students who were more recently introduced to the new syllabus. This research study also holds implications for mathematics teachers, parents and the mathematics education community in Ireland, with some suggestions made on improving students‟ images of mathematics.

Difficulties and errors in number reasoning development

The detailed study of difficulties and errors in young learner comprehension is a relevant and productive research field in Mathematics Education. Studies in the field are numerous although somewhat too varied. The present paper is suggesting methodological perspectives and principles applying to the field of research; we also show an example with school work. The use of figurate numbers as a representation system gives richer conceptual values, boosts visual reasoning and facilitates learner understanding.

Inductive reasoning in the justification of the result of adding two even numbers

In this paper we present an analysis of the inductive reasoning of twelve secondary students in a mathematical problem-solving context. Students were proposed to justify what is the result of adding two even numbers. Starting from the theoretical framework, which is based on Pólya’s stages of inductive reasoning, and our empirical work, we created a category system that allowed us to make a qualitative data analysis. We show in this paper some of the results obtained in a previous study.

Graphical representation and generalization in sequences problems

In this paper we present different ways used by Secondary students to generalize when they try to solve problems involving sequences. 359 Spanish students solved generalization problems in a written test. These problems were posed through particular terms expressed in different representations. We present examples that illustrate different ways of achieving various types of generalization and how students express generalization. We identify graphical representation of generalization as a useful tool of getting other ways of expressing generalization, and we analyze its connection with other ways of expressing it.

The role of Minitab in teaching and learning statistics

This paper describes how the statistical package Minitab is used in teaching statistics in our undergraduate programmes in Mathematics and Statistics to enhance student learning. How the sophisticated recent versions of Minitab can be used to help students understand statistical concepts, develop their statistical thinking and gain valuable skills in performing statistical analysis are discussed.

Mathematical prerequisites for learning statistics in Psychology: Assessing core skills of numeracy and mathematical reasoning among undergraduates.

This study sought to extend earlier work by Mulhern and Wylie (2004) to investigate a UK-wide sample of psychology undergraduates. A total of 890 participants from eight universities across the UK were tested on six broadly defined components of mathematical thinking relevant to the teaching of statistics in psychology - calculation, algebraic reasoning, graphical interpretation, proportionality and ratio, probability and sampling, and estimation. Results were consistent with Mulhern and Wylie's (2004) previously reported findings. Overall, participants across institutions exhibited marked deficiencies in many aspects of mathematical thinking. Results also revealed significant gender differences on calculation, proportionality and ratio, and estimation. Level of qualification in mathematics was found to predict overall performance. Analysis of the nature and content of errors revealed consistent patterns of misconceptions in core mathematical knowledge , likely to hamper the learning of statistics.

Crossing Thresholds and Expanding Conceptual Spaces: Using Arts-Based Methods to Extend Teachers’ Perceptions of Literacy

The context for this paper is a teacher education program for adult literacy practitioners at Queen’s University Belfast in Northern Ireland. This paper describes and reflects on the use of arts-based approaches to enhance these practitioners’ conceptualizations of literacy, presenting their arts-based responses and their evaluations of the methods and their contrasting definitions of literacy at the start and the end of the course. The discussion raises questions about the inclusion of visual literacy in adult literacy teacher education programmes.

Quotients, exactness, and nuclearity in the operator system category

We continue our study of tensor products in the operator system category. We define operator system quotients and exactness in this setting and refine the notion of nuclearity by studying operator systems that preserve various pairs of tensor products. One of our main goals is to relate these refinements of nuclearity to the Kirchberg conjecture. In particular, we prove that the Kirchberg conjecture is equivalent to the statement that every operator system that is (min,er)-nuclear is also (el,c)-nuclear. We show that operator system quotients are not always equal to the corresponding operator space quotients and then study exactness of various operator system tensor products for the operator system quotient. We prove that an operator system is exact for the min tensor product if and only if it is (min,el)-nuclear. We give many characterizations of operator systems that are (min,er)-nuclear, (el,c)-nuclear, (min,el)-nuclear and (el,max)-nuclear. These characterizations involve operator system analogues of various properties from the theory of C*-algebras and operator spaces, including the WEP and LLP.