Exploring Problem Decomposition in Conceptual Design

Design embraces several disciplines dedicated to the production of artifacts and services. These disciplines are quite independent and only recently has psychological interest focused on them. Nowadays, the psychological theories of design, also called design cognition literature, describe the design process from the information processing viewpoint. These models co-exist with the normative standards of how designs should be crafted. In many places there are concrete discrepancies between these two in a way that resembles the differences between the actual and ideal decision-making. This study aimed to explore the possible difference related to problem decomposition. Decomposition is a standard component of human problem-solving models and is also included in the normative models of design. The idea of decomposition is to focus on a single aspect of the problem at a time. Despite its significance, the nature of decomposition in conceptual design is poorly understood and has only been preliminary investigated. This study addressed the status of decomposition in conceptual design of products using protocol analysis. Previous empirical investigations have argued that there are implicit and explicit decomposition, but have not provided a theoretical basis for these two. Therefore, the current research began by reviewing the problem solving and design literature and then composing a cognitive model of the solution search of conceptual design. The result is a synthetic view which describes recognition and decomposition as the basic schemata for conceptual design. A psychological experiment was conducted to explore decomposition. In the test, sixteen (N=16) senior students of mechanical engineering created concepts for two alternative tasks. The concurrent think-aloud method and protocol analysis were used to study decomposition. The results showed that despite the emphasis on decomposition in the formal education, only few designers (N=3) used decomposition explicitly and spontaneously in the presented tasks, although the designers in general applied a top-down control strategy. Instead, inferring from the use of structured strategies, the designers always relied on implicit decomposition. These results confirm the initial observations found in the literature, but they also suggest that decomposition should be investigated further. In the future, the benefits and possibilities of explicit decomposition should be considered along with the cognitive mechanisms behind decomposition. After that, the current results could be reinterpreted.

Effect of GPS on understanding relationship between mobile map and environment : A field experiment

Objectives: GPS technology enables the visualisation of a map reader s location on a mobile map. Earlier research on the cognitive aspects of map reading identified that searching for map-environment points is an essential element for the process of determining one s location on a mobile map. Map-environment points refer to objects that are visualized on the map and are recognizable in the environment. However, because the GPS usually adds only one point to the map that has a relation to the environment, it does not provide a sufficient amount of information for self-location. The aim of the present thesis was to assess the effect of GPS on the cognitive processes involved in determining one s location on a map. Methods: The effect of GPS on self-location was studied in a field experiment. The subjects were shown a target on a mobile map, and they were asked to point in the direction of the target. In order for the map reader to be able to deduce the direction of the target, he/she has to locate himself/herself on the map. During the pointing tasks, the subjects were asked to think aloud. The data from the experiment were used to analyze the effect of the GPS on the time needed to perform the task. The subjects verbal data was used to assess the effect of the GPS on the number of landmark concepts mentioned during a task (landmark concepts are words referring to objects that can be recognized both on the map and in the environment). Results and conclusions: The results from the experiment indicate that the GPS reduces the time needed to locate oneself on a map. The analysis of the verbal data revealed that the GPS reduces the number of landmark concepts in the protocols. The findings suggest that the GPS guides the subject s search for the map-environment points and narrows the area on the map that must be searched for self-location.

What should I think; How should I feel? : The balancing of personal experiences and social norms in the outgroup attitude formation of youth

The present study focused on the associations between the personal experiences of intergroup contact, perceived social norms and the outgroup attitudes of Finnish majority and Russian-speaking minority youth living in Finland. The theoretical background of the study was derived from Allport s (1954) theory of intergroup contact (i.e., the contact hypothesis), social psychological research on normative influences on outgroup attitudes (e.g., Rutland, 2004; Stangor and Leary, 2006) and developmental psychological research on the formation of explicit (deliberate) and implicit (automatically activated) outgroup attitudes in adolescence (e.g., Barrett, 2007; Killen, McGlothlin and Henning, 2008). The main objective of the study was to shed light on the role of perceived social norms in the formation of outgroup attitudes among adolescents. First, the study showed that perceived normative pressure to hold positive attitudes towards immigrants regulated the relationship between the explicit and implicit expression of outgroup attitudes among majority youth. Second, perceived social norms concerning outgroup attitudes (i.e., the perceived outgroup attitudes of parents and peers) affected the relationship between intergroup contact and explicit outgroup attitudes depending on gender and group status. Positive social norms seem to be especially important for majority boys, who need both pleasant contact experiences and normative support to develop outgroup attitudes that are as positive as girls attitudes. The role of social norms is accentuated also among minority youth, who, contrary to majority youth with their more powerful and independent status position, need to reflect upon their attitudes and experiences of negative intergroup encounters in relation to the experiences and attitudes of their ingroup members. Third, the results are indicative of the independent effects of social norms and intergroup anxiety on outgroup attitudes: the effect of perceived social norms on the outgroup attitudes of youth seems to be at least as strong as the effect of intergroup anxiety. Finally, it was shown that youth evaluate intergroup contact from the viewpoint of their ingroup and society as a whole, not just based on their own experiences. In conclusion, the outgroup attitudes of youth are formed in a close relationship with their social environment. On the basis of this study, the importance of perceived social norms for research on intergroup contact effects among youth cannot be overlooked. Positive normative influences have the potential to break the strong link between rare and/or negative personal contact experiences and negative outgroup attitudes, and norms also influence the relationship between implicit and explicit attitude expression.

Spontaanin puheen prosodinen jaksottelu

The common focus of the studies brought together in this work is the prosodic segmentation of spontaneous speech. The theoretically most central aspect is the introduction and further development of the IJ-model of intonational chunking. The study consists of a general introduction and five detailed studies that approach prosodic chunking from different perspectives. The data consist of recordings of face-to-face interaction in several spoken varieties of Finnish and Finland Swedish; the methodology is usage-based and qualitative. The term “speech prosody” refers primarily to the melodic and rhythmic characteristics of speech. Both speaking and understanding speech require the ability to segment the flow of speech into suitably sized prosodic chunks. In order to be usage-based, a study of spontaneous speech consequently needs to be based on material that is segmented into prosodic chunks of various sizes. The segmentation is seen to form a hierarchy of chunking. The prosodic models that have so far been developed and employed in Finland have been based on sentences read aloud, which has made it difficult to apply these models in the analysis of spontaneous speech. The prosodic segmentation of spontaneous speech has not previously been studied in detail in Finland. This research focuses mainly on the following three questions: (1) What are the factors that need to be considered when developing a model of prosodic segmentation of speech, so that the model can be employed regardless of the language or dialect under analysis? (2) What are the characteristics of a prosodic chunk, and what are the similarities in the ways chunks of different languages and varieties manifest themselves that will make it possible to analyze different data according to the same criteria? (3) How does the IJ-model of intonational chunking introduced as a solution to question (1) function in practice in the study of different varieties of Finnish and Finland Swedish? The boundaries of the prosodic chunks were manually marked in the material according to context-specific acoustic and auditory criteria. On the basis of the data analyzed, the IJ-model was further elaborated and implemented, thus allowing comparisons between different language varieties. On the basis of the empirical comparisons, a prosodic typology is presented for the dialects of Swedish in Finland. The general contention is that the principles of the IJ-model can readily be used as a methodological tool for prosodic analysis irrespective of language varieties.

Univariate, bivariate, and multivariate methods in corpus-based lexicography : A study of synonymy

In this dissertation, I present an overall methodological framework for studying linguistic alternations, focusing specifically on lexical variation in denoting a single meaning, that is, synonymy. As the practical example, I employ the synonymous set of the four most common Finnish verbs denoting THINK, namely ajatella, miettiä, pohtia and harkita ‘think, reflect, ponder, consider’. As a continuation to previous work, I describe in considerable detail the extension of statistical methods from dichotomous linguistic settings (e.g., Gries 2003; Bresnan et al. 2007) to polytomous ones, that is, concerning more than two possible alternative outcomes. The applied statistical methods are arranged into a succession of stages with increasing complexity, proceeding from univariate via bivariate to multivariate techniques in the end. As the central multivariate method, I argue for the use of polytomous logistic regression and demonstrate its practical implementation to the studied phenomenon, thus extending the work by Bresnan et al. (2007), who applied simple (binary) logistic regression to a dichotomous structural alternation in English. The results of the various statistical analyses confirm that a wide range of contextual features across different categories are indeed associated with the use and selection of the selected think lexemes; however, a substantial part of these features are not exemplified in current Finnish lexicographical descriptions. The multivariate analysis results indicate that the semantic classifications of syntactic argument types are on the average the most distinctive feature category, followed by overall semantic characterizations of the verb chains, and then syntactic argument types alone, with morphological features pertaining to the verb chain and extra-linguistic features relegated to the last position. In terms of overall performance of the multivariate analysis and modeling, the prediction accuracy seems to reach a ceiling at a Recall rate of roughly two-thirds of the sentences in the research corpus. The analysis of these results suggests a limit to what can be explained and determined within the immediate sentential context and applying the conventional descriptive and analytical apparatus based on currently available linguistic theories and models. The results also support Bresnan’s (2007) and others’ (e.g., Bod et al. 2003) probabilistic view of the relationship between linguistic usage and the underlying linguistic system, in which only a minority of linguistic choices are categorical, given the known context – represented as a feature cluster – that can be analytically grasped and identified. Instead, most contexts exhibit degrees of variation as to their outcomes, resulting in proportionate choices over longer stretches of usage in texts or speech.

Truth, Proof and Gödelian Arguments : A Defence of Tarskian Truth in Mathematics

One of the most fundamental questions in the philosophy of mathematics concerns the relation between truth and formal proof. The position according to which the two concepts are the same is called deflationism, and the opposing viewpoint substantialism. In an important result of mathematical logic, Kurt Gödel proved in his first incompleteness theorem that all consistent formal systems containing arithmetic include sentences that can neither be proved nor disproved within that system. However, such undecidable Gödel sentences can be established to be true once we expand the formal system with Alfred Tarski s semantical theory of truth, as shown by Stewart Shapiro and Jeffrey Ketland in their semantical arguments for the substantiality of truth. According to them, in Gödel sentences we have an explicit case of true but unprovable sentences, and hence deflationism is refuted. Against that, Neil Tennant has shown that instead of Tarskian truth we can expand the formal system with a soundness principle, according to which all provable sentences are assertable, and the assertability of Gödel sentences follows. This way, the relevant question is not whether we can establish the truth of Gödel sentences, but whether Tarskian truth is a more plausible expansion than a soundness principle. In this work I will argue that this problem is best approached once we think of mathematics as the full human phenomenon, and not just consisting of formal systems. When pre-formal mathematical thinking is included in our account, we see that Tarskian truth is in fact not an expansion at all. I claim that what proof is to formal mathematics, truth is to pre-formal thinking, and the Tarskian account of semantical truth mirrors this relation accurately. However, the introduction of pre-formal mathematics is vulnerable to the deflationist counterargument that while existing in practice, pre-formal thinking could still be philosophically superfluous if it does not refer to anything objective. Against this, I argue that all truly deflationist philosophical theories lead to arbitrariness of mathematics. In all other philosophical accounts of mathematics there is room for a reference of the pre-formal mathematics, and the expansion of Tarkian truth can be made naturally. Hence, if we reject the arbitrariness of mathematics, I argue in this work, we must accept the substantiality of truth. Related subjects such as neo-Fregeanism will also be covered, and shown not to change the need for Tarskian truth. The only remaining route for the deflationist is to change the underlying logic so that our formal languages can include their own truth predicates, which Tarski showed to be impossible for classical first-order languages. With such logics we would have no need to expand the formal systems, and the above argument would fail. From the alternative approaches, in this work I focus mostly on the Independence Friendly (IF) logic of Jaakko Hintikka and Gabriel Sandu. Hintikka has claimed that an IF language can include its own adequate truth predicate. I argue that while this is indeed the case, we cannot recognize the truth predicate as such within the same IF language, and the need for Tarskian truth remains. In addition to IF logic, also second-order logic and Saul Kripke s approach using Kleenean logic will be shown to fail in a similar fashion.

Complicated Presence : The Unity of Being in Parmenides and Heidegger

The attempt to refer meaningful reality as a whole to a unifying ultimate principle - the quest for the unity of Being - was one of the basic tendencies of Western philosophy from its beginnings in ancient Greece up to Hegel's absolute idealism. However, the different trends of contemporary philosophy tend to regard such a speculative metaphysical quest for unity as obsolete. This study addresses this contemporary situation on the basis of the work of Martin Heidegger (1889-1976). Its methodological framework is Heidegger's phenomenological and hermeneutical approach to the history of philosophy. It seeks to understand, in terms of the metaphysical quest for unity, Heidegger's contrast between the first (Greek) beginning or "onset" (Anfang) of philosophy and another onset of thinking. This other onset is a possibility inherent in the contemporary situation in which, according to Heidegger, the metaphysical tradition has developed to its utmost limits and thereby come to an end. Part I is a detailed interpretation of the surviving fragments of the Poem of Parmenides of Elea (fl. c. 500 BC), an outstanding representative of the first philosophical beginning in Heidegger's sense. It is argued that the Poem is not a simple denial of apparent plurality and difference ("mortal acceptances," doxai) in favor of an extreme monism. Parmenides' point is rather to show in what sense the different instances of Being can be reduced to an absolute level of truth or evidence (aletheia), which is the unity of Being as such (to eon). What in prephilosophical human experience is accepted as being is referred to the source of its acceptability: intelligibility as such, the simple and undifferentiated presence to thinking that ultimately excludes unpresence and otherness. Part II interprets selected key texts from different stages in Heidegger's thinking in terms of the unity of Being. It argues that one aspect of Heidegger's sustained and gradually deepening philosophical quest was to think the unity of Being as singularity, as the instantaneous, context-specific, and differential unity of a temporally meaningful situation. In Being and Time (1927) Heidegger articulates the temporal situatedness of the human awareness of meaningful presence. His later work moves on to study the situational correlation between presence and the human awareness. Heidegger's "postmetaphysical" articulation seeks to show how presence becomes meaningful precisely as situated, in an event of differentiation from a multidimensional context of unpresence. In resigning itself to this irreducibly complicated and singular character of meaningful presence, philosophy also faces its own historically situated finitude. This resignation is an essential feature of Heidegger's "other onset" of thinking.

Teatteri liikkeessä : Työväenteatterit Suomen teatterikentällä ja työväenliikkeessä kaksiteatterijärjestelmän syntyyn asti vuonna 1922

Workers' theatres in Finland until 1922 The topic of this dissertation is the workers' theatres in Finland before the year 1922. The main question is: why did these amateur theatres within the workers' associations become part of the professional theatre field in the 1910s by getting state subsidy as local theatre institutions? How is it possible that they received this status even after the civil war in 1918 when new professional theatres were founded all over the country? The study also asks, what kind of position did workers' theatres have in the workers' associations and in the workers' movement, what did the Social Democrats and Communists think of theatre and in particular of workers' theatre, and what kind of repertoire did the workers' theatres perform? It is a particular feature of Finland that the professional theatre field was not organised and that the workers’ movement had a relatively strong political position. The study concludes that some workers' theatres were the only steady theatre institutions in their surroundings, and thus functioned as local popular theatres performing to all social groups. Although amateur-based, they started to resemble professional theatres. Even though the Social Democratic Party did not have a specific theatre policy, the leaders of the Party appreciated and supported the workers' theatres as educational institutions and worked for their artistic improvement. The workers' theatres were also largely approved of and seen as people's theatres thought to unite and educate the nation and the working class. This reveals the need for national consensus, in the 1910s against the Russian government who worked to dissolve the autonomous position of the Finnish state, and after the civil war (1918) against the threat of a communist revolution. A wave of agitating proletarian theatre was felt in Finland in the early 1920s but it was marginalised by the large anti-communist majority.

The Walls of Agios Donatos Zervochoriou : A case study of a fortress in Thesprotia, northwestern Greece

The study deals with the dating and the function of the fortress of Agios Donatos, which is located in the Kokytos river valley in Thesprotia, northwestern Greece. To solve the dating problem one had to use parallels found in research literature, preferably within as close range as possible. As most of the fortresses within a close proximity had not been adequately published, one had to use parallels within a larger area, throughout the Hellenistic world. Archaeological material found in trial trenches on site was used when possible. To think of the function of the site one had to study the site itself and its relation to the environment, and to compare the situation with the parallels found in research literature, mostly different archaeological survey projects in Greece and Asia Minor. The fortress was built during a period ranging from the final decades of the fourth century down to the mid-third century BC. Most likely it was built during the first quarter of the third century, that is the reign of Pyrrhus of Epirus when the area experienced a boom in fortress building activity. The function of the site was most likely to protect a trade route from the major port in the area to the central areas of the valley and on to Kalamas river, which was the major route on to Macedon. In the end an appendix dealing with the other fortified sites in Thesprotia has been compiled.

Nuorisokodista maailmalle : Kokemuksia nuorisokodissa elämisestä ja aikuisiässä selviytymisestä

This thesis studies the experiences of women who have lived in a youth home as girls. There are two main themes: 1) experiences of living in a youth home, and 2) experiences of coping as an adult. Data on the first theme is purely subjective; it derives from personal, recalled experiences. Data on the second theme is partly based on experiences and partly on facts about the current life situation of the research participants. A third theme of the thesis is concerned with the question of how the research participants’ placement in a youth home influenced their later life. The thesis contributes valuable knowledge concerning the experiences of young people who have been raised in substitute care, a topic that is rare in the literature. The empirical data of the study consists of responses to an initial inquiry and subsequent interviews. The inquiry was sent to 116 former inhabitants of a youth home. 62 altogether returned the inquiry, and 34 participated in the interview. The purpose of the inquiry was to produce an overview of the life situations of the research participants and to invite them to participate in the interview. In addition, the inquiry sought to produce an overview of how the participants enjoyed living in a youth home and how they saw its significance in terms of their later lives. The interviews concentrated on the research participants’ experiences concerning the processes of getting into a youth home, living there, and coping independently in life afterwards. The most central result relating to the first main theme was that the experiences were both shared and non-shared. Living in a youth home was characterized by six general sentiments: “wonderful, real home”, “new world!”, “safe haven”, “place to live”, “penal institution”, and “nightmare”. These sentiments seemed to be related first and foremost to whether one’s own, individual needs and expectations had been met in the youth home. The strongest and most common needs, as experienced, were the needs for safety, belongingness and respect. On the basis of the experiences, meeting these needs can be considered as the most important task of a youth home. The results relating to the second main theme of the study were examined in two different ways. Comparisons with the general female population (education, situation in working life and financial circumstances) showed that research participants had coped less well. Differences were also found to exist in family structures: nuclear families and single mother families were more unusual among research participants, and stepfamilies more common, than in the general population. More of the participants’ children than of the general population’s lived with somebody other than their parent. However, the experience of coping well was common among research participants, although the beginning of independent living had been generally experienced as difficult: feelings of loneliness, insecurity and restlessness were dominant. Later, a sense of life control developed and strengthened through joining with others (family, work, friends), through accepting one’s own life history and through creating one’s own model of living. As the most significant explanation of their coping, the research participants identified their own (innate) strength and will to cope. The majority of the research participants felt that the youth home had a positive influence on their later lives. Positive influences can be grouped in three “levels”: I) getting out of the home, II) having good experiences and learning useful things, and III) the essential effect on one’s own way of thinking and living. The second level’s influence includes strengthened self-esteem, increased social understanding and new knowledge and skills. Some research participants did not think the youth home had any significance in terms of their later lives, and some thought it had negative significance.

Tarinakontekstin vaikutus sanojen muistamiseen kompleksisessa työmuistitehtävässä

Objectives. The sentence span task is a complex working memory span task used for estimating total working memory capacity for both processing (sentence comprehension) and storage (remembering a set of words). Several traditional models of working memory suggest that performance on these tasks relies on phonological short-term storage. However, long-term memory effects as well as the effects of expertise and strategies have challenged this view. This study uses a working memory task that aids the creation of retrieval structures in the form of stories, which have been shown to form integrated structures in longterm memory. The research question is whether sentence and story contexts boost memory performance in a complex working memory task. The hypothesis is that storage of the words in the task takes place in long-term memory. Evidence of this would be better recall for words as parts of sentences than for separate words, and, particularly, a beneficial effect for words as part of an organized story. Methods. Twenty stories consisting of five sentences each were constructed, and the stimuli in all experimental conditions were based on these sentences and sentence-final words, reordered and recombined for the other conditions. Participants read aloud sets of five sentences that either formed a story or not. In one condition they had to report all the last words at the end of the set, in another, they memorised an additional separate word with each sentence. The sentences were presented on the screen one word at a time (500 ms). After the presentation of each sentence, the participant verified a statement about the sentence. After five sentences, the participant repeated back the words in correct positions. Experiment 1 (n=16) used immediate recall, experiment 2 (n=21) both immediate recall and recall after a distraction interval (the operation span task). In experiment 2 a distracting mental arithmetic task was presented instead of recall in half of the trials, and an individual word was added before each sentence in the two experimental conditions when the participants were to memorize the sentence final words. Subjects also performed a listening span task (in exp.1) or an operation span task (exp.2) to allow comparison of the estimated span and performance in the story task. Results were analysed using correlations, repeated measures ANOVA and a chi-square goodness of fit test on the distribution of errors. Results and discussion. Both the relatedness of the sentences (the story condition) and the inclusion of the words into sentences helped memory. An interaction showed that the story condition had a greater effect on last words than separate words. The beneficial effect of the story was shown in all serial positions. The effects remained in delayed recall. When the sentences formed stories, performance in verification of the statements about sentence context was better. This, as well as the differing distributions of errors in different experimental conditions, suggest different levels of representation are in use in the different conditions. In the story condition, the nature of these representations could be in the form of an organized memory structure, a situation model. The other working memory tasks had only few week correlations to the story task. This could indicate that different processes are in use in the tasks. The results do not support short-term phonological storage, but instead are compatible with the words being encoded to LTM during the task.

Young, gifted and spiritual -The case of Finnish sixth-grade pupils

The aim of this study was to explore the spirituality of Finnish academically gifted 12 13-year old pre-adolescents (N = 101). Their spirituality was investigated through the following three questions: (1) What is their relationship to religion? (2) How do they perceive transcendence? and (3) How does their search for meaning integrate into their lives? A total of 60 girls and 41 boys participated in the study. They attend a special school, Helsingin Suomalainen yhteiskoulu, in Helsinki, Finland. The school includes classes from grade 3 to upper secondary school and has an entrance test. This study is part of a research project called Actualizing Finnish Giftedness which is funded by the Finnish Academy between 2000 2007 and is led by Professor Tirri. The research project is based on Gardner s Multiple Intelligences theory (Gardner 1993) and on Hay s (1998) work on spirituality. The data in this study was gathered in 2003 and 2004. It includes both qualitative and quantitative material. The emphasis is on data gathered with interviews. The mixed method approach was used as the methodological framework for connecting the qualitative content analysis, phenomenological approach and the quantitative tests of this study. The results of the sub-studies are reported in full in the four original articles. First, the articles show that the pupils connect religion mainly with Christian institutions and do not consider religion and spirituality to overlap. Second, the articles show that the pupils believe in God and the interference of God in their lives and they think that reality includes a spiritual dimension. Third, the pupils had four kinds of existentially significant interests: personal, transcendental, cosmic and ethical. Cosmic interests were especially highlighted in the article concerning boys as nature and science were reported to be integral sources for their existential thinking. In addition, perceptions on God seemed to be connected to the individual s perception on the meaning of life. In RE, spiritual development has been a constant topic of interest since the late eighties. Likewise, recently in gifted education there have been discussions concerning spiritual intelligence (Gardner 1999) and spirituality of the gifted (Kerr & Cohn 2001). Based on the empirical results of the study, this study concludes that education wishing to promote spiritual development should aim at being existentially relevant to the pupils and use their existential search as an integrative framework for their individual talents and skills.

Aritmetiikasta algebraan : Muutoksia osaamisessa peruskoulun päättöluokalla 20 vuoden aikana

From Arithmetic to Algebra. Changes in the skills in comprehensive school over 20 years. In recent decades we have emphasized the understanding of calculation in mathematics teaching. Many studies have found that better understanding helps to apply skills in new conditions and that the ability to think on an abstract level increases the transfer to new contexts. In my research I take into consideration competence as a matrix where content is in a horizontal line and levels of thinking are in a vertical line. The know-how is intellectual and strategic flexibility and understanding. The resources and limitations of memory have their effects on learning in different ways in different phases. Therefore both flexible conceptual thinking and automatization must be considered in learning. The research questions that I examine are what kind of changes have occurred in mathematical skills in comprehensive school over the last 20 years and what kind of conceptual thinking is demonstrated by students in this decade. The study consists of two parts. The first part is a statistical analysis of the mathematical skills and their changes over the last 20 years in comprehensive school. In the test the pupils did not use calculators. The second part is a qualitative analysis of the conceptual thinking of pupils in comprehensive school in this decade. The study shows significant differences in algebra and in some parts of arithmetic. The largest differences were detected in the calculation skills of fractions. In the 1980s two out of three pupils were able to complete tasks with fractions, but in the 2000s only one out of three pupils were able to do the same tasks. Also remarkable is that out of the students who could complete the tasks with fractions, only one out of three pupils was on the conceptual level in his/her thinking. This means that about 10% of pupils are able to understand the algebraic expression, which has the same isomorphic structure as the arithmetical expression. This finding is important because the ability to think innovatively is created when learning the basic concepts. Keywords: arithmetic, algebra, competence

Lähiympäristö nepalilaisessa arjessa - oppilaiden ja opettajien käsityksiä omista vaikutusmahdollisuuksistaan

Aims. Sustainable development has become the most important theme in the development co-operation in the 21st century. Sustainable development is pursued by environmental education among other things. This research rose from the discussion about the meaning of environmental education in developing countries and especially the effect it might have in the environment and society. Nepal and one of its rural private schools was selected as a research object. The themes and questions of the research are: 1. Conceptions of the immediate environment of students and teachers: What does immediate environment mean according to the students and teachers? 2. Students most important acts in the environment: What kind of effect do the students think they can have on the environment in their everyday life? 3. Teachers opinions, experiences and methods in environmental education: What do teachers think should be taught to the students in environmental education? What are the teachers actually teaching? What kind of methods are the teachers using while teaching environmental education? Researching the conceptions of immediate environment and acts in the environment gives information about the students and teachers relation with the nature in their everyday life and the baseline from which environmental education will be implemented from. Teachers opinions, experiences and methods in environmental education provide information on the current implementation of the environmental education. Methods. Ethnography was selected as a research method. Before collecting the actual data, a pre-study was conducted. The aim of the pre-study was to specify the research themes and practice the cross-cultural interview as a research method. The actual data was collected in the last week of January 2010 in Dhangadhi, Nepal. The data included twenty-two drawings and captions from the students and one group interview with the teachers. The data was analyzed with brief quantitative analysis and full analysis was done with a qualitative method called content analysis. Results and conclusions. Teachers and student s conceptions of immediate environment differ from each other. Students saw the immediate environment from the scientific approach while the teachers thought it was more social conception. The interface was found in their own personal environment. This interface is a good baseline for environmental education. The most important acts in the environment for the students were protection towards the environment. The students saw their possibilities to have an influence in the environment through the school. A connection between the school and acting in the environment was evident. In the teachers opinions and experiences of environmental education, environmental problems and the importance of teaching attitudes and values were found. No logic thematic entities were discovered but the teachers did use different kinds of methods in their teaching. Achieving the international aims for environmental education was very challenging in the research school because of the teachers lack of information and skills to teach the subject. The context where the school works was also challenging.