Growing Up Vietnamese in Finland - Looking Back 12 Years Later : The Well-Being and Sociocultural Adaptation of Vietnamese as Children or Adolescents and as Young Adults

Varttuminen vietnamilaisena Suomessa: 12 vuoden seurantajakso – Vietnamilaisten hyvinvointi ja sosiokulttuurinen sopeutuminen lapsena/nuorena sekä nuorena aikuisena Tämä tutkimus oli määrällinen pitkittäistutkimus lapsena tai nuorena vuosina 1979-1991 Suomeen saapuneiden vietnamilaisten akkulturaatiosta (kulttuurin muutoksista), psyykkisestä hyvinvoinnista ja sosiokulttuurisesta sopeutumisesta. Tutkimukseen osallistui ensimmäisessä vaiheessa (vuonna 1992) 97 satunnaisesti valittua vietnamilaista peruskoululaista ympäri maata, joita verrattin suomalaisiin luokkatovereihin. Seurantavaiheeseen (vuonna 2004) osallistui 59 ensimmäisessä vaiheessa mukana ollutta vietnamilaista, nyt iältään 20 – 31 -vuotiaita. Tutkimuksen tavoitteena oli selvittää mitkä tekijät ennustivat akkulturaation lopputuloksia, samalla huomioiden iän ja ympäristön (kontekstin) vaikutukset psyykkiseen hyvinvointiin ja sosiokulttuuriseen sopeutumiseen. Yksittäiset akkulturaatiodimensiot (kieli, arvot ja identiteetti) osoittautuivat tärkeämmiksi psyykkiselle hyvinvoinnille ja sosiokulttuuriselle sopeutumiselle kuin etniset, kansalliset tai kaksikulttuuriset profiilit, joissa yhdistyivät ao. kieli, arvot ja identiteetti. Identiteettimuutosta tapahtui (etniseen) vietnamilaiseen suuntaan ajan kuluessa, kun taas arvomuutosta tapahtui (kansalliseen) suomalaiseen suuntaan. Sekä suomen että vietnamin kielen taito lisääntyivät ajan myötä, millä oli myönteisiä vaikutuksia sekä psyykkiseen hyvinvointiin että sosiokulttuuriseen sopeutumiseen. Lähtötilanteen psyykkinen hyvinvointi ennusti hyvinvointia (masennuksen puutetta ja itsetuntoa) aikuisena, mutta sosiokulttuurinen sopeutuminen (koulumenestys) lapsena tai nuorena ei ennustanut kouluttautumista aikuisena. Parempi suomen kielen taito ja vähemmän identifioitumista suomalaiseksi aikuisena sekä masentuneisuuden puute ja vähemmän koettua syrjintää lapsena tai nuorena erottelivat psyykkisesti paremmin voivat aikuiset (ei-masentuneet) heistä, jotka olivat masentuneita. Parempaa kouluttautumista aikuisena ennustivat toisaalta vähemmän koettua syrjintää lapsena tai nuorena ja toisaalta aikuisena parempi suomen kielen taito, suurempi kansallisten (suomalaisten) itsenäisyysarvojen kannattaminen, mutta kuitenkin vähemmän identifioitumista suomalaisiin. Koetun syrjinnän merkitys psyykkiselle hyvinvoinnille, erityisesti lapsena tai nuorena, sekä sen pitkäaikaisvaikutukset psyykkiselle hyvinvoinnille ja sosiokulttuuriselle sopeutumiselle aikuisena osoittavat tarpeen puuttua varhain psyykkisiin ongelmiin sekä parantaa etnisten ryhmien välisiä suhteita. Avainsanat: akkulturaatio, psyykkinen hyvinvointi, sosiokultuurinen sopeutuminen, kieli, arvot, identiteetti, vietnamilainen, Suomi, lapset, nuoret, nuoret aikuiset

Making sense of a trial maths intervention program for teachers of students with disability in Australia: Interim report

The Disability Standards for Education (2005) and the Australian Curriculum, Assessment and Reporting Authority relevant standards underscore the right of students with disability to access the curriculum on the same basis as students without disability. Students with disability are entitled to rigorous, relevant and engaging learning opportunities drawn from the Australian curriculum content. Taking this context into account, this paper provides a work-in-progress report on a two-year mathematics intervention project conducted in 12 special schools (Preparatory-Year 12) in Queensland, Australia. The project aims to build the capacity of teachers to teach mathematics to their students and to identify and make sense of the intervention program’s impact. It combines two approaches—appreciative inquiry and action research to monitor schools’ change processes. The interim findings demonstrated that teachers were concerned about their students’ underachievement in mathematics and that the multi-sensory forms of teaching advocated in the program increased student engagement and performance.

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.

Discriminating languages in bilingual contexts: the impact of orthographic markedness

Does language-specific orthography help language detection and lexical access in naturalistic bilingual contexts? This study investigates how L2 orthotactic properties influence bilingual language detection in bilingual societies and the extent to which it modulates lexical access and single word processing. Language specificity of naturalistically learnt L2 words was manipulated by including bigram combinations that could be either L2 language-specific or common in the two languages known by bilinguals. A group of balanced bilinguals and a group of highly proficient but unbalanced bilinguals who grew up in a bilingual society were tested, together with a group of monolinguals (for control purposes). All the participants completed a speeded language detection task and a progressive demasking task. Results showed that the use of the information of orthotactic rules across languages depends on the task demands at hand, and on participants' proficiency in the second language. The influence of language orthotactic rules during language detection, lexical access and word identification are discussed according to the most prominent models of bilingual word recognition.

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.

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.

Mathematics and reading difficulty subtypes: Minor phonological influences on mathematics for 5-7 year olds

Linguistic influences in mathematics have previously been explored throughsubtyping methodology and by taking advantage of the componential nature ofmathematics and variations in language requirements that exist across tasks. Thepresent longitudinal investigation aimed to examine the language requirements of mathematical tasks in young children aged 5-7 years. Initially, 256 children were screened for mathematics and reading difficulties using standardised measures. Those scoring at or below the 35th percentile on either dimension were classified as having difficulty. From this screening, 115 children were allocated to each of the MD (n=26), MDRD (n=32), reading difficulty (RD, n=22) and typically achieving (TA, n=35) subtypes. These children were tested at four time points, separated by six monthly intervals, on a battery of seven mathematical tasks. Growth curve analysis indicated that, in contrast to previous research on older children, young children with MD and MDRD had very similar patterns of development on all mathematical tasks. Overall, the subtype comparisons suggested that language played only a minor mediating role in most tasks, and this was secondary in importance to non-verbal skills. Correlational evidence suggested that children from the different subtypescould have been using different mixes of verbal and non-verbal strategies to solve the mathematical problems.

Innovations in technology: a friendly math project and the learning analytics “challenge”

Currently the world around us "reboots" every minute and “staying at the forefront” seems to be a very arduous task. The continuous and “speeded” progress of society requires, from all the actors, a dynamic and efficient attitude both in terms progress monitoring and moving adaptation. With regard to education, no matter how updated we are in relation to the contents, the didactic strategies and technological resources, we are inevitably compelled to adapt to new paradigms and rethink the traditional teaching methods. It is in this context that the contribution of e-learning platforms arises. Here teachers and students have at their disposal new ways to enhance the teaching and learning process, and these platforms are seen, at the present time, as significant virtual teaching and learning supporting environments. This paper presents a Project and attempts to illustrate the potential that new technologies present as a “backing” tool in different stages of teaching and learning at different levels and areas of knowledge, particularly in Mathematics. We intend to promote a constructive discussion moment, exposing our actual perception - that the use of the Learning Management System Moodle, by Higher Education teachers, as supplementary teaching-learning environment for virtual classroom sessions can contribute for greater efficiency and effectiveness of teaching practice and to improve student achievement. Regarding the Learning analytics experience we will present a few results obtained with some assessment Learning Analytics tools, where we profoundly felt that the assessment of students’ performance in online learning environments is a challenging and demanding task.