The topic of students’ application of conceptual knowledge in physics is constantly being researched. It is a common occurrence that students are able to solve numerical problems without understanding the concepts involved. The primary focus of this dissertation is to investigate the extent to which a group of first year physics students are able to identify and use the correct physics concepts when solving problems set in different contexts. Furthermore, this study aims to identify underlying factors giving way to students not applying appropriate physics concepts. A questionnaire was designed in test-format in which all the problems dealt with two objects whose movement had to be compared to each other. The physical quantities describing or influencing the objects’ movement differed in each consecutive problem; whilst the nature of the concept under consideration remained the same. The problems were set in various contexts namely: i. Formal conceptual questions, some with numeric values; ii. Questions set in every day context with/without numeric values; iii. Questions on vertical upward, vertical downward and horizontal motion. The questionnaire was distributed to 481 students in the first-year physics course in 2014 at the Potchefstroom Campus of the North West University. It was expected that the percentage of correct answers would reveal discrepancies in the responses to contextual, numeric and formal conceptual questions. The outcome of the statistical analysis confirmed this expectation. In addition, it seemed that only a few students were able to correctly identify the appropriate variables when considering vertical and horizontal movement while the majority of the students did not apply the same physics principle in isomorphic vertical upward and vertical downward problems. It appears that the context in which the question was posed determined whether the problem was seen as an item that would require “physics reasoning” or as a setting where physics reasoning did not apply. The results revealed students inability to relate physics concepts to appropriate mathematical equations. Two important results from this work are: (1) the presentation of a questionnaire that can be implemented to investigate various aspects regarding the contexts of physics problems; and (2) expanding the concept of context to include the direction of movement as a separate context. / MSc (Natural Science Education), North-West University, Potchefstroom Campus, 2015

The topic of students’ application of conceptual knowledge in physics is constantly being researched. It is a common occurrence that students are able to solve numerical problems without understanding the concepts involved. The primary focus of this dissertation is to investigate the extent to which a group of first year physics students are able to identify and use the correct physics concepts when solving problems set in different contexts. Furthermore, this study aims to identify underlying factors giving way to students not applying appropriate physics concepts. A questionnaire was designed in test-format in which all the problems dealt with two objects whose movement had to be compared to each other. The physical quantities describing or influencing the objects’ movement differed in each consecutive problem; whilst the nature of the concept under consideration remained the same. The problems were set in various contexts namely: i. Formal conceptual questions, some with numeric values; ii. Questions set in every day context with/without numeric values; iii. Questions on vertical upward, vertical downward and horizontal motion. The questionnaire was distributed to 481 students in the first-year physics course in 2014 at the Potchefstroom Campus of the North West University. It was expected that the percentage of correct answers would reveal discrepancies in the responses to contextual, numeric and formal conceptual questions. The outcome of the statistical analysis confirmed this expectation. In addition, it seemed that only a few students were able to correctly identify the appropriate variables when considering vertical and horizontal movement while the majority of the students did not apply the same physics principle in isomorphic vertical upward and vertical downward problems. It appears that the context in which the question was posed determined whether the problem was seen as an item that would require “physics reasoning” or as a setting where physics reasoning did not apply. The results revealed students inability to relate physics concepts to appropriate mathematical equations. Two important results from this work are: (1) the presentation of a questionnaire that can be implemented to investigate various aspects regarding the contexts of physics problems; and (2) expanding the concept of context to include the direction of movement as a separate context. / MSc (Natural Science Education), North-West University, Potchefstroom Campus, 2015

This thesis attempts to bridge the gap between Social Psychology and Sociolinguistics by exploring the relationship between language attitudes and language use. Using a sample of 71 university students in Spain, it investigates how learners deal with phonological variation in the English language, what language attitudes are held towards American and British models of English speech and which social and psychological factors are linked with learners' language attitudes and language use. A social-psychological model was adopted and adapted, allowing learners' use of intervocalic /t/ to be successfully predicted from measures of attitude, subjective norm and perceived behavioural control. Direct measures of learners' preferred accent and pronunciation class were also highly predictive of learners' language use. Several trends were found in the attitudinal data. Firstly, British English speech was rated more favourably overall, though American English speech was often viewed as more socially attractive. Secondly, the evaluative dimensions of competence and social attractiveness were salient amongst learners in the Spanish context. Each of these findings endorses those of previous language attitude studies conducted elsewhere. Thirdly, female speakers were consistently rated more favourably than male speakers; thus, highlighting the need for further investigation into the variable of speaker sex. Familiarity with the speech varieties under investigation – most often gained through education, media exposure, time spent abroad and/or contact with native speakers – seemed to result in learners challenging rigid stereotypes and expressing more individualised attitudes. Overall, British speech emerged as formal and functional, while American speech was thought to fulfil more informal and interpersonal functions. This thesis provides compelling evidence of attitude-behaviour relations, adds to the growing volume of language attitude research being conducted across the globe, and establishes – for the first time – which social and psychological variables are relevant and salient within English-language learning contexts in Spain.

Swedish students are showing a continuous deterioration of knowledge about the concept of mathematical place-value and by looking at a closer analysis, made by the TIMSS, it was made even more visible that the concept of place-value, which is associated with our positional system, is very central to students' understanding of the number concept. The PISA - report further demonstrates that it is possible to discern the deteriorating knowledge of students' perceptions of digits’ place-values in calculations of standard algorithms. The study is carried out because I want to explore as well as contribute to the research on the opportunities students are given to understand the positional system. The study aims to create knowledge on students' opportunity to understand the positional system in the sixth grade. The questions the study seeks to answer are the following:  What are the different patterns of variation the students meet during the lesson about the positional system?  Which are the critical aspects that can be discerned when listening to the students' descriptions of the positional system? To get answers to these questions, and thus fulfill the purpose of the study, different teachings have been observed and students have been interviewed. The theory of this work is variation theory. This theory was chosen because it makes it possible to understand many different ways to treat a selected subject of matter as well as to relate it to students' opportunities to learn. Results of the study show that students encounter several different parts of the pattern of variation in the teaching about the positional system, including contrast, generalization and separation. By taking in the students' descriptions of the positional system, three critical aspects could be discerned. These were the place-value together with the significance of zero in multi-digit numbers, numbers properties and lastly number sence. The conclusion is that students have different opportunities to develop an understanding of the positional system in the sixth grade. The possibilities are different depending on which critical aspects that are distinguished by the students in the education of the positional system. / Svenska elever visar kontinuerligt försämrade kunskaper kring begreppet platsvärde och vid en noggrannare granskning av TIMSS (Skolverket, 2012) synliggjordes att begreppet platsvärde, som är förknippat med vårt positionssystem, är ett centralt begrepp för elevers förståelse av talbegrepp. PISA rapporten (Skolverket, 2013) påvisar ytterligare att det går att urskilja försämrade kunskaper om elevers uppfattningar om siffrors platsvärden vid beräkningar av standardalgoritmer. Studien genomfördes för att undersöka och bidra till forskningen om vilka möjligheter elever ges till att förstå positionssystemet. Studien syftar till att bilda kunskap om elevers möjligheter att förstå positionssystemet i årskurs 6. De frågeställningar studien syftar till att besvara är:  Vilka variationsmönster möter elever i undervisning om positionssystemet?  Vilka kritiska aspekter kan urskiljas vid elevers beskrivningar av positionssystemet? För att få svar på frågeställningarna och därmed uppfylla syftet med studien har undervisning observerats och elever intervjuats. I studien finns inslag av variationsteorin. Teorin valdes för att göra det möjligt att förstå hur olika sätt att behandla ett valt ämnesinnehåll relaterar till elevers möjligheter att lära. Studiens resultat visar att elever möter olika variationsmönster i undervisning om positionssystemet, däribland kontrast, generalisering och separation. Vid elevers beskrivningar av positionssystemet kunde det urskiljas tre kritiska aspekter, positionens värde och nollans betydelse i ett flersiffrigt tal, talens egenskaper och talsortsuppfattning. Slutsatsen är att elever har olika möjligheter att utveckla förståelse för positionssystemet i årskurs 6. Möjligheterna ser olika ut beroende på vilka kritiska aspekter eleverna urskilt i undervisning om positionssystemet.

Studiens syfte är att bilda kunskap om elevers förståelse av likhetstecknet och hur undervisning om likhetstecknet i årskurs 3 kan varieras för att bli så effektiv som möjligt. Syftet ska besvaras genom frågeställningarna: vilka variationsmönster som de studerade eleverna kan möta och vilka kritiska aspekter som elever kan identifiera. Kritiska aspekter är det som elever behöver identifiera för att förstå det som ska läras. Variationsmönster innebär att det som är kritiskt i undervisningen ska varieras för att synliggöras. Studien har sin ansats i variationsteorin, där variationsmönster och kritiska aspekter är centrala begrepp. En lektion observerades i årskurs 3 och sex elever valdes ut och intervjuades om likhetstecknet. Resultatet av studien visar att eleverna mötte sex kritiska aspekter i undervisningen. I varje kritisk aspekt mötte eleverna ett eller flera variationsmönster. Studien visar också att alla de intervjuade eleverna har en relationell och instrumentell förståelse av likhetstecknet. Eleverna har förståelse av en kritisk aspekt, som den observerade lektionen inte hade berört, nämligen att alla tal måste ingå i en uppgift för att lösningen ska vara korrekt. Fyra av sex elever har förståelse av den kritiska aspekten att det ska vara ekvivalens i en kedja av likheter. Resultatet visar också att elevernas förståelse av likhetstecknet inte är beroende av att de möter variationsmönster i undervisningen, men att de möter de kritiska aspekterna på något sätt. / The aim of the study is to explore the understanding of the equal sign and how the teaching about the equal sign among third grade students can be varied to be as effective as possible.  The aim will be answered trough the questions: what patterns of variation can the studied students meet and what critical aspects have the students identified. Patterns of variation means that what is critical in the teaching should be varied to become visible. Critical aspects is what students need to identify to understand what should be learned. The foundation of the study is the Variation Theory, where patterns of variation and critical aspects are central concepts. The observations were accomplished during a third grade lesson and six students were selected for interviews about the equal sign. The result of the study shows that the students met six critical aspects during the lesson. For every critical aspect there were one or several patterns of variation that was exposed to the students. The result also states that the students who were interviewed have a relational and instrumental understanding of the equal sign. The students also have understanding of a critical aspect that they did not meet in the observed lesson, namely that all numbers have to enter in a task. Four out of six students have understanding of the critical aspect that there should be equivalence in a chain of similarities. The result also show that the students understanding of the equal sign is not dependent of that they meet patterns of variation in the teaching, but that they meet the critical aspects somehow.

The aim of this thesis is to explore the meaning of technical knowing in primary technology education. This is done by identifying and describing ways of knowing in relation to specific content (so-called objects of learning) of the school subject of technology. The purpose is to contribute to the body of teachers’ professional knowledge concerning primary technology education. In this thesis, the subject of technology is seen as representing technical knowledge traditions, characterized by specific ways of developing knowledge. Moreover, the knowledge is to a great extent embedded in actions. This perspective on technical knowing challenges the traditional distinction between theoretical and practical knowledge.   Data were generated through two Learning studies conducted in primary schools.  Learning study is a classroom-based, interventionistic research approach, in which teachers collaborate with a researcher, focusing on specific objects of learning, that is, on what the students are supposed to learn. In the studies, the capability to evaluate the fitness for purpose of technical solutions, and to construct a linkage mechanism allowing for transferring and transforming movement were examined. Students’ actions were video-recorded in order to document verbal and physical expressions of knowing. The data were analysed using phenomenographic analysis, resulting in descriptions of specific ways of knowing in terms of complexity, as well as critical aspects to discern in order to develop the knowing. The findings from the first study describe knowing in terms of discerning functions related to different types of users, as well as aspects of the construction in order to realize functions. The second study identified technical knowing as a specified analysis of the construction in terms of location and separation of joints in relation to different functions. These findings were then used to identify technical knowing in video material generated within another teaching context. The results suggest that knowledge concerning knowing of specific objects of learning related to the evaluation and construction of technical solutions is partly generalizable. In addition, the specified knowledge concerning the meaning of the object of learning generated during the Learning study process was described. This knowledge is suggested to be an important knowledge product of Learning studies. / <p>At the time of the doctoral defense, the following paper was unpublished and had a status as follows: Paper 4: Submitted.</p>

Studien är en kvalitativ studie med fokus på hur tredimensionella objekt framställs och arbetas med i matematikundervisningen. Syftet med denna studie är att undersöka hur lärare varierar undervisningsmetoder i undervisningen om geometri och tredimensionella objekt samt vilka variationsmönster som synliggörs i lärarnas undervisning. Studien utgår från tidigare granskad forskning om geometriundervisning. Studiens undersökningar har genomförts på två olika skolor i två olika kommuner i södra Sverige där båda klasserna som varit en del av studien tillhört årskurs 6. Den datainsamling som gjorts bygger på fem genomförda observationer av två olika klasser samt intervjuer av undervisande lärare för dessa klasser. Studiens resultat visar bland annat att geometriundervisning där läromedel kompletteras med andra undervisningsmetoder såsom konkret material kan vara gynnande för elevers inlärning och för lärare vid undervisning om tredimensionella objekt.

<p>The purpose of this thesis is to examine if the school's democracy project is successful. The objective is examined in relation to two specific questions. The first question is whether students, after completing their studies in civics A, understand the relationship between the concepts of human rights and democracy. The second is if the students understood the concepts of practical significance and impact on society and the individual. Variation theory comes from the phenomenographic theories and is central to this work. The approach to learning, in this essay, is a change in how a person experiences, understands or perceives a phenomenon. Variation theory focuses on a learning object and contextualization sees as crucial to how the individual perceives the object.</p><p>The study is based on a quantitative research method in the form of a survey at a secondary school. A number of students may respond to valuation questions about how they perceive democracy and human rights in practical situations. The results are related to curriculum goals.</p><p>The results of the study is not positive in relation to curriculum objectives, where many students respond negatively to questions.</p>

<p>The thesis deals with how<strong> </strong>technology as a school subject is presented to the pupils in the Swedish compulsory school at junior high school level. The main focus is on how teachers work with the subject matter in teaching, which is on the level of <em>the</em> <em>enacted curriculum</em>. The official documents established by the national school authorities,<em> the intended curriculum</em>, and <em>the hidden curriculum</em> are both of special interest in the study. The hidden curriculum refers to possible, but not intended consequences of the enacted curriculum for pupils’ understanding of technology as a school subject. </p><p><em>          </em>The empirical analysis of the study is based on a narrative analysis on the one hand and the variation theory on the other. The empirical data collection consists of data from:<strong> </strong>(a) interviews with five teachers and (b) a series of classroom observations, covering an entire section of each teacher’s course of the subject matter.</p><p>          The data from the interviews with these teachers indicated that they understood the concept of technology as<strong> </strong>human made artefacts aiming to satisfy practical needs. When it came to the understanding of technology as a school subject the teachers differed between understanding the aim of the subject as to: (1) practice craftsmanship, (2) prepare the pupils for future careers as engineers, (3) illustrate science, (4) strengthen girls’ technical self-confidence and (5) get the pupils interested in technology in order to become inventors in the future. <strong></strong></p><p>The data from the classroom observations indicated that the teaching presented in technology gave the pupils the opportunity to develop three specific capabilities: (1) evaluate and test functionality, (2) be precise and accurate and (3) construct, build and mount. The three capabilities were possible to develop when accomplishing tasks of practical character. Results also indicated that technology as a school subject was taught in different ways depending on the teachers’ educational background, the physical learning environment and the size of the school class. Variation theory was applied as a tool in the analysis of the data from the classroom observations, i.e. the teachers’ ways of working with the subject matter. The analysis indicated that the most frequently used pattern of variation was ‘contrast’.  Through the contrast-variation the teachers managed to contrast better or worse alternatives of constructing and using artefacts. It can be argued that this pattern of variation, ‘contrast’, is the proper pattern when pupils are working with limited or expensive material.<strong></strong></p><p>          The overall conclusion of the study is that teachers’ interpretations of current intended curriculum and their choices of subject matter and teaching methods affect which abilities the pupils are<strong> </strong>offered to develop in technology as a school subject. Based on the results of the study it can be argued that the education and the teaching of technology lacks realism and the result is that technology as a school subject may be experienced by pupils as not very important. It is obvious that the school subject technology, as well as teaching in technology, in the Swedish compulsory school, demands more attention from the national school authorities, in order to develop the pupils’ understanding that technology as a subject is related to the future development of society and social welfare.<strong></strong></p><p> </p>

This thesis concerns teaching in mathematics teacher education and is based on the implementation of a learning study at teacher training. The overall purpose was to investigate in what way teacher training could facilitate and improve student teachers’ Mathematical Knowledge for Teaching (MKT). In the learning study design, MKT was conceptualized as an object of learning with a meta-character, which meant that it was applicable to and transferable between different content areas of mathematics. This made it possible to vary the mathematical content between lessons but to keep the object of learning constant. Four critical features of the object of learning were found, giving insight in some of the problems related to teacher education. Student teachers had to be able to formulate proper aims for a lesson and to give detailed descriptions of elements of MKT for coherence in their MKT to occur. A focus on student teachers’ role as mathematics teachers had to be established and finally, sufficient mathematical knowledge was found to be a prerequisite for their MKT to develop. The study shows that enactment of these critical features improved the teaching by the teacher educators, which in its turn improved the student teachers’ learning with regard to MKT. The study also indicates that the prescribed design is worth considering for future collaborative efforts of improving teaching where other objects of learning with a similar meta-character are involved.