This study examined mathematics anxiety among elementary teacher candidates, and to what extent it interacted with the modality principle under various degrees of learner-control. The experiment involved a sample of 186 elementary teacher candidates learning from eight versions of a computer program on division with fractions. The eight versions varied in modality of presentation (diagrams with narration, or diagrams with written text), control of pacing (pacing was controlled by either the learner or the system), and control of sequence (sequence was controlled by either the learner or the system). A pre-test, post-test, demographic questionnaire, subjective measure of mental effort, and the Abbreviated Math Anxiety Survey were also administered. This study revealed that mathematics anxiety was significantly positively correlated with mental effort, and significantly negatively correlated with engagement, pre-test and post-test scores. Additionally, a modality x pacing interaction was observed for both high prior knowledge and low mathematics-anxious students. Under system-pacing, the modality effect was observed, and these students achieved higher far transfer scores when learning from the diagrams and narration modality condition. However, under learner-pacing, the modality effect reversed, and high prior knowledge and low mathematics-anxious students performed better on far transfer scores when learning from the diagrams and written text modality condition. Low prior knowledge, and highly mathematics-anxious students performed poorly in all treatment conditions. Additional interactions involving sequence-control, and a four-way interaction involving prior knowledge, modality, sequence-control, and pacing were also uncovered. The results from this study demonstrate that prior knowledge and mathematics anxiety have a complex relationship with the effectiveness of the format of instruction, and the design of instructional materials needs to take into account these individual differences. / Thesis (Master, Education) -- Queen's University, 2008-09-25 19:38:33.9

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This dissertation examines how mathematics anxiety influences the cognitive and metacognitive processes of middle school Algebra 1 students during cognitively demanding tasks. Individuals who experience mathematics anxiety may feel lifelong consequences and avoid mathematics courses at the secondary and college levels, which limits access to careers in STEM fields. Research suggests that a variety of factors may impact an individual’s mathematics anxiety. With an increase in the number of students enrolled in Algebra 1 at the middle school level, this explanatory sequential mixed-method study examines how mathematics anxiety influences students’ cognitive and metacognitive processes as they complete cognitively demanding Algebra 1 tasks during a think-aloud protocol analysis. Findings from the study support that individuals with moderate mathematics anxiety struggle with accessing metacognitive strategies as cognitive demand increases. Implications for practice and research, including recommendations at the state, district, and school levels, are discussed, as well as suggestions for future research.

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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)

The hypothesis that a structured, sequenced, approach to mathematics learning, based on the application of learnt facts, decreases mathematics anxiety and increases mathematics achievement is tested. A literature study and an empirical investigation were conducted with respect to the relationships between maths anxiety, maths achievement and teaching methods. A qualitative research design which focussed on the cross-case analysis of different case studies was used. The qualitative case study involves multiple methods such as interviews, observations and a pretest, posttest design. It analyses and compares the effects of the Kuman method, used as the intervention programme, on maths anxiety and maths achievement of an experimental group and a control group. The results of this research indicate that learners on the intervention programme who showed a decrease in anxiety, showed an increase in achievement. This has implications for the teaching methods used in South Africa. / Teacher Education / M. Ed. (Specialisation in Guidance and Counselling)

Este projeto iniciou-se a partir da constatação de experiências do professor/pesquisador durante as aulas de matemática com relação ao comportamento dos alunos que demonstravam certa de ansiedade devido aos fracassos nas tentativas de aprender da forma tradicional. Para o desenvolvimento do projeto e análise dos resultados foi utilizada a Pesquisa Qualitativa, por ser um instrumento capaz de captar os valores, crenças e sentimentos humanos dando assim um significado às suas ações. Embasado pelas orientações de Lorenzato é relatada a implantação do Laboratório de Ensino de Matemática (LEM) numa escola particular cujas atividades foram realizadas com alunos do 9º ano do ensino fundamental. A proposta contempla a utilização de materiais didáticos, manipulativos e outros recursos pedagógicos para o ensino de função e de trigonometria dentro do LEM. A análise de dados foi embasada nos Registros de Representações Semiótica (RRS) de Duval, foram também consideradas as principais tendências em educação matemática, seus principais autores como D\'Ambrosio, na Etnomatematica; Biembengut, na Modelagem Matemática; Onuchic e Allevato, na Resolução de Problemas; Borba e Penteado nas Tecnologias de Informação e Comunicação (TIC), Smole nos jogos e nas orientações dos Parâmetros Curriculares Nacionais (PCN). A partir dos resultados obtidos foi constatado, por meio de questionários, observação do comportamento e das avaliações, uma melhora no entendimento dos conceitos de função e de trigonometria. Além disso, observou-se um aumento na compreensão de problemas matemáticos colocados pelo professor/pesquisador, amenizando a ansiedade em relação à matemática. / This project started from the teacher observation report in Mathematic lessons which had shown certain degree of anxiety in student\'s behavior in relation to failures of traditional method of learning. To develop the project and the outcome of analysis was employed Qualitative Research, to be an instrument capable to grasp the values, beliefs and human feelings thus giving signification to their actions. Based upon the Lorenzato guidelines is reported the implementation of the Mathematics Teaching Laboratory in a private school which activities were carried out with students from 9th grade of elementary school.The bringing considers the use of teaching materials, manipulatives and other teaching methods for teaching function and trigonometry in the Mathematics Teaching Laboratory. Data assays was based on semiotics representations records (RRS) Duval, were considered the major trends in mathematics teaching, its main authors like D\'Ambrosio, in Ethnomathematics; Biembengut in Mathematical Modeling; Onuchic and Allevato in Troubleshooting; Borba and Penteado in Information and Communication Technologies; Smole in classroom games and the guidelines of the National Curriculum Parameters. From the results it was found, by means of questioning, report of students behavior and tests, an improving in learning the concepts of function and trigonometry. In addition, there was an increase in understading mathematical problems posed by the teacher/ researcher, which reduced anxiety in relation to mathematics.

This thesis systematically examined the link between developmental dyscalculia, a specific learning difficulty of mathematics, and mathematics anxiety, a negative emotional reaction to mathematics tasks. The link between these maths learning issues was examined by measuring their prevalence in large samples of English primary (N = 1004; N= 830) and secondary school (N = 927) students. Gender differences were also explored. Systematically varying diagnostic criteria for dyscalculia revealed that its prevalence ranged between 0.89-17.23 percent. When absolute performance thresholds were used, there was no gender difference in dyscalculia prevalence. The association of mathematics performance with other cognitive skills and mathematics anxiety was investigated longitudinally in subsamples of children with dyscalculia (n =10), typical mathematics performance (n=10) and high maths ability (n = 11). 80 percent of the children in the dyscalculia group still met the criteria for diagnosis at the final time point. Mathematics performance was positively associated with working memory performance and negatively associated with mathematics anxiety. Furthermore, children with dyscalculia had higher maths anxiety than the other two groups. The relationship between dyscalculia and high maths anxiety was estimated in a larger sample (N = 1757). Relatively few children with dyscalculia had high maths anxiety and the majority of students with high maths anxiety in fact had mathematics performance within or above the average range. Girls had higher maths anxiety than boys, and more girls had both dyscalculia and maths anxiety than boys. There was an expected negative correlation between maths anxiety and maths performance in the total sample, but this correlation was negligible in the children with dyscalculia. Collectively, these results suggest that cognitive and emotional mathematics problems are dissociable, and indicate that children with dyscalculia and maths anxiety likely require different types of intervention. Furthermore there appears to be no gender difference in maths performance or in the prevalence of dyscalculia. However, girls have higher maths anxiety than boys, and are more likely to be affected by maths anxiety alongside developmental dyscalculia. Maths anxiety may be a potential explanation for the underrepresentation of females in careers involving mathematics.