This thesis set out to investigate the electrophysiological correlates of maths anxiety (MA). Research has shown that those with high MA (HMA) tend to have poorer accuracy and increased reaction time on maths based tasks and that high maths anxious individuals avoid situations where they might have to use maths. This can impact on their future by restricting their degree or job prospects. Previous research has identified the behavioural cognitive and psychological effects of MA and recently studies have begun to examine the associated underlying mechanisms in the brain. Chapter one outlines the background MA behavioural and measurement research before evaluating the neurophysiological methods used in cognitive neuroscience and the use of electroencephalography (EEG) in chapter two. Chapter three continues by outlining previous research concerning the neurophysiological processing of maths and number before evaluating relevant neurophysiological research concerning MA. Four experimental studies are conducted, exploring the neurophysiological underpinnings of MA research using EEG. Each of these recruits 30 participants and measures of electro-cortical (Event Related Potentials (ERPs), Global Field Power, Frequency etc.) and questionnaire measures are implemented. The first study aimed to identify whether the behavioural effects of MA (poorer accuracy and increased reaction time) are consistent with ERP differences (component amplitude and latency differences) in the brain and to understand why these effects are experienced. This revealed no significant comparisons between ERP components and behavioural responses involving low and high maths anxious individuals, but this may have been due to the lack of an anxious response by using a verification task, rather than requiring calculation. Study two introduces the measurement of gamma activity as a neurophysiological measure of anxiety and threat processing and brings three core areas of anxiety research together: Previous studies outline high anxiety in connection with gamma modulation, also showing gamma band activity is associated with the amygdala and finally, that the amygdala is responsible for the processing of threat perception and anxiety. This research has not been brought together when studying MA. Results produced similar ERP findings to the previous study but the introduction of gamma activity into the research provided the first differences between high and low MA (LMA) groups, showing significantly greater gamma activity levels in HMA individuals. However, this study only used numerically-based tasks, thus the third study implemented a non-numerical condition to act as a control. Study three replicates the findings showing a reduced level of gamma activity in high MA individuals for the non-numerical based task, however, this was also reduced for the simple maths task. It was theorised that it is more likely to be the initial threat perception that represents the anxious response and gamma activity increases. To test this and remove any working memory demands, the fourth study implements the presentation of single digit observation (using single digit numbers and letters). Even though there was no demand on working memory, high maths anxious participants displayed similar levels of gamma activity as low maths anxious individuals during letter observation. However, they had significantly greater levels during the observation of number. Findings suggest that HMA individuals may not only struggle with the processing of maths stimuli, but may have a threat-related response to the simple observation of numerical stimuli. This implies that HMA individuals consistently apply an avoidance technique due to a threat response associated with increased levels of gamma activity. The findings of the each study are finally discussed in terms of their contribution to the neurophysiological underpinnings of MA, the first exploration of this using gamma activity, future research and the extent that number anxiety may act as a precursor or sine qua non to MA.

<p>One of the big problems of the Swedish nine-year compulsory school is the large number of pupils who fail to achieve a satisfactory standard in mathematics. One explanation that has been increasingly considered over the last ten years is that the pupils have dyscalculia. Some research suggests that 6 per cent of compulsory school pupils suffer from this dysfunction, which would in that case make it one of the Swedish school’s greatest teaching problems.</p><p>The purpose of this thesis is to examine this problem area from two aspects. First of all by examining the concept of dyscalculia by means of a review of the literature from 1992 onwards. The second perspective has as its starting point a case study where the purpose was to give a detailed picture of the pupil with mathematics problems. The latter part of the study was carried out over a six-year period when 200 pupils, 13 of them with particular mathematics problems, were studied in detail.</p><p>A point of departure for the study was provided by a large database where as much information as possible was collected about pupils from Year 5 of the nine-year compulsory school to Year 2 of the three-year upper secondary school. The pupils were asked to fill in regular questionnaires and classroom observations were made of roughly 100 mathematics lessons, 40 of which were recorded on video. Finally there were in-depth interviews of the 13 pupils on two occasions, the final one being during Year 2 of the upper secondary school.</p><p>The review of the research showed a series of dubious and indistinct circumstances surrounding the dyscalculia concept, and also ambiguity with regard to the diagnosis of dyscalculia. The conclusion of the review was that the concept of dyscalculia ought at present to be used with great caution, or perhaps not at all. Admittedly the review does not provide grounds for totally dismissing the dyscalculia concept, but as long as it remains impossible to determine the concept unambiguously, and I have not been able to do this in the course of this study, there are no good scientific grounds for using the term dyscalculia in practice.</p><p>The empirical study shows the complexity of the problem area. Both the causes suggested by the pupils as the origin of the problem and the measures that helped them to obtain their mathematics grades form a complex pattern. The low work input of the pupils during mathematics lessons, an unsettled working environment, large classes, problems of stress and anxiety prior to tests, and obstructive gender patterns are among the causes suggested by the pupils as explanations of the occurrence of the mathematics problems. Good teachers, in other words teachers who can explain, set limits and give encouragement, were a significant factor in reversing the downward trend. Positive experiences of school changes, where the pupil felt that he or she could start again from the beginning, were also mentioned as significant by several pupils. Collaboration with fellow-pupils and the fact that the pupils themselves decided to get to grips with the problems were other important reasons for the change. The prospects of students with specific problems in mathematics nevertheless being able to leave compulsory school with satisfactory grades appear, however, from the results of this study, to be bright. All the pupils left the compulsory school with satisfactory mathematics grades and also completed mathematics studies at upper secondary school, despite major problems in the subject at intermediate school (age 10-13) stage.</p><p>The study indicates the need for research closer to the actual practical situation and to the importance of emphasizing good examples in practice. As the students themselves emphasize discrete communication between them as significant in the subject of mathematics, this is also an important area for future research.</p>

One of the big problems of the Swedish nine-year compulsory school is the large number of pupils who fail to achieve a satisfactory standard in mathematics. One explanation that has been increasingly considered over the last ten years is that the pupils have dyscalculia. Some research suggests that 6 per cent of compulsory school pupils suffer from this dysfunction, which would in that case make it one of the Swedish school’s greatest teaching problems. The purpose of this thesis is to examine this problem area from two aspects. First of all by examining the concept of dyscalculia by means of a review of the literature from 1992 onwards. The second perspective has as its starting point a case study where the purpose was to give a detailed picture of the pupil with mathematics problems. The latter part of the study was carried out over a six-year period when 200 pupils, 13 of them with particular mathematics problems, were studied in detail. A point of departure for the study was provided by a large database where as much information as possible was collected about pupils from Year 5 of the nine-year compulsory school to Year 2 of the three-year upper secondary school. The pupils were asked to fill in regular questionnaires and classroom observations were made of roughly 100 mathematics lessons, 40 of which were recorded on video. Finally there were in-depth interviews of the 13 pupils on two occasions, the final one being during Year 2 of the upper secondary school. The review of the research showed a series of dubious and indistinct circumstances surrounding the dyscalculia concept, and also ambiguity with regard to the diagnosis of dyscalculia. The conclusion of the review was that the concept of dyscalculia ought at present to be used with great caution, or perhaps not at all. Admittedly the review does not provide grounds for totally dismissing the dyscalculia concept, but as long as it remains impossible to determine the concept unambiguously, and I have not been able to do this in the course of this study, there are no good scientific grounds for using the term dyscalculia in practice. The empirical study shows the complexity of the problem area. Both the causes suggested by the pupils as the origin of the problem and the measures that helped them to obtain their mathematics grades form a complex pattern. The low work input of the pupils during mathematics lessons, an unsettled working environment, large classes, problems of stress and anxiety prior to tests, and obstructive gender patterns are among the causes suggested by the pupils as explanations of the occurrence of the mathematics problems. Good teachers, in other words teachers who can explain, set limits and give encouragement, were a significant factor in reversing the downward trend. Positive experiences of school changes, where the pupil felt that he or she could start again from the beginning, were also mentioned as significant by several pupils. Collaboration with fellow-pupils and the fact that the pupils themselves decided to get to grips with the problems were other important reasons for the change. The prospects of students with specific problems in mathematics nevertheless being able to leave compulsory school with satisfactory grades appear, however, from the results of this study, to be bright. All the pupils left the compulsory school with satisfactory mathematics grades and also completed mathematics studies at upper secondary school, despite major problems in the subject at intermediate school (age 10-13) stage. The study indicates the need for research closer to the actual practical situation and to the importance of emphasizing good examples in practice. As the students themselves emphasize discrete communication between them as significant in the subject of mathematics, this is also an important area for future research.

The aim of this study is to explore the adult immigrant students’ experience of maths in Sweden. I will present an understanding rather than an explanation on how second language adult students learn maths. It can be argued that people who study maths as adults in a new homeland and in a foreign language face particular challenges. At the same time research reports that people sometimes approach the subject in a more fruitful way as adults compared to their childhood experiences. I want to contribute to the general knowledge of the subject and furthermore provide improved understanding of how mathematics teachers can guide their students towards their goals.I have performed semi-structured qualitative research interviews. My informants are my own maths students on the basic level with incomplete grades in maths from secondary school, or they have failed in their maths studies in upper secondary school due to a low level of know-ledge. They are over 20 years of age and they are all immigrants and have arrived in Sweden as adults. I have used my students statements, written as narratives as the material which is to be interpreted and understood. Because of my use of my own students in the interview, I will not take into account their statements about the teacher’s role in my conclusion.I find that:1. The difficult experience of being forced to leave the home country, together with a wish to take revenge on the failures from their youth, can lead to a kind of struggle for decom-pensation that can be reflected in the participants' positive evaluation of their maths studies.2. Having a family is a great motivational help for studying regardless of the time it takes to take care of the same.3. The memories of previous failures with the incomprehensible, abstract mathematics characterise the students’ inception of the subject.4. It seems possible that adult students can understand themselves in a new way and redefine their relationship with maths and their own ability to study the subject.

Wiskunde as taal van die wetenskap en tegnologie is een van die weinige vakke wat spesifiek as voorvereiste vir die bestudering van sekere studierigtings gestel word. Leerlinge met Wiskunde-angs word verhoed om hul ware potensiaal in Wiskunde te verwesenlik en word sodoende gediskwalifiseer om hul regmatige plek in die beroepswereld in te neem. Die doel van hierdie studie was om te bepaal of hipnoterapie aangewend kan word om Wiskunde-angs tot werkbare vlakke te beperk sodat leerlinge optimaal in Wiskunde kan presteer. Die aard, oorsake, aanvang, herkenning, verklaring, gevolge, voorkoms en meting van Wiskunde-angs, die verband daarvan met Wiskundeprestasie en die hulp wat onderwysers en hulpprogramme kan lewer, is nagegaan. Daarna is hipnose en hipnoterapie beskou om te bepaal of dit as terapeutiese hulpmiddel pedagogies verantwoordbaar is. 'n Hipnoterapieprogram is in werking gestel en daar is bevind dat die proefpersone almal tot 'n mindere of meerdere mate daarby gebaat het. / Mathematics as the language of science and technology is one of few subjects used as entrance requirement to certain fields of study. Mathematics anxiety prohibits certain pupils to reach their full potential in Mathematics and thus to obtain their rightful place in the world of work. The aim of this study was to determine whether hypnotherapy can be used to lower Mathematics anxiety levels to such an extend that pupils can optimally achieve in Mathematics. The nature, causes, extent, recognition, explanation, consequences, incidence and measurement of Mathematics anxiety, its relationship to achievement in Mathematics, as well as the help that can be rendered by teachers and treatment programmes were studied. Hypnotherapy was then examined to determine whether its use was pedagogically justifiable. A hypnotherapy treatment programme was introduced which was found to be to some extent beneficial to all the subjects used. / Psychology of Education / M. Ed. (Voorligting)

Wiskunde as taal van die wetenskap en tegnologie is een van die weinige vakke wat spesifiek as voorvereiste vir die bestudering van sekere studierigtings gestel word. Leerlinge met Wiskunde-angs word verhoed om hul ware potensiaal in Wiskunde te verwesenlik en word sodoende gediskwalifiseer om hul regmatige plek in die beroepswereld in te neem. Die doel van hierdie studie was om te bepaal of hipnoterapie aangewend kan word om Wiskunde-angs tot werkbare vlakke te beperk sodat leerlinge optimaal in Wiskunde kan presteer. Die aard, oorsake, aanvang, herkenning, verklaring, gevolge, voorkoms en meting van Wiskunde-angs, die verband daarvan met Wiskundeprestasie en die hulp wat onderwysers en hulpprogramme kan lewer, is nagegaan. Daarna is hipnose en hipnoterapie beskou om te bepaal of dit as terapeutiese hulpmiddel pedagogies verantwoordbaar is. 'n Hipnoterapieprogram is in werking gestel en daar is bevind dat die proefpersone almal tot 'n mindere of meerdere mate daarby gebaat het. / Mathematics as the language of science and technology is one of few subjects used as entrance requirement to certain fields of study. Mathematics anxiety prohibits certain pupils to reach their full potential in Mathematics and thus to obtain their rightful place in the world of work. The aim of this study was to determine whether hypnotherapy can be used to lower Mathematics anxiety levels to such an extend that pupils can optimally achieve in Mathematics. The nature, causes, extent, recognition, explanation, consequences, incidence and measurement of Mathematics anxiety, its relationship to achievement in Mathematics, as well as the help that can be rendered by teachers and treatment programmes were studied. Hypnotherapy was then examined to determine whether its use was pedagogically justifiable. A hypnotherapy treatment programme was introduced which was found to be to some extent beneficial to all the subjects used. / Psychology of Education / M. Ed. (Voorligting)