TY - THES A1 - Knollmüller, Robert T1 - Zum Zusammenhang von Jahresnoten und Kompetenzen in der Neuen Mittelschule BT - eine empirisch-quantitative Studie im Unterrichtsfach Mathematik in der Sekundarstufe I in Niederösterreich N2 - Die vorliegende Studie beschäftigt sich mit dem nach einer Strukturveränderung in der Sekundarstufe I entstandenen Schulmodell der Neuen Mittelschule. Untersucht wird, ob sich durch dieses Schulmodell und der damit intendierten neuen Lehr-, Lern- und Prüfungskultur Zusammenhänge zwischen gemessenen mathematischen Kompetenzen der Schüler und den durch Lehrer vergebenen Jahresnoten feststellen lassen. Die Literaturrecherche macht deutlich, dass die Kritik an der Monokultur des leh-rerzentrierten Unterrichts zwar zu einer neuen Lehr-, Lern- und Prüfungskultur führt, deren Inhalte sind aber recht unterschiedlich, komplex und nicht eindeutig definiert. In der NMS soll die Leistungsbewertung als Lernhilfe fungieren, aber auch verlässliche Aussagen über die Leistung der Schüler treffen. Zur Wirkung der neuen Lernkultur in der NMS gibt es ebenso keine empirischen Befunde wie über die Wirkung der Leistungsbewertung. An der empirischen Untersuchung nehmen 79 Schüler der sechsten Schulstufe aus drei Neuen Mittelschulen (dicht besiedelte, mittel besiedelte, dünn besiedelte Gemeinde) in Niederösterreich teil. In jeder Schule werden zwei Klassen untersucht. Dabei werden der Kompetenzstand in Mathematik, Schülerzentriertheit sowie Sozial- und Leistungsdruck aus Sicht der Schüler gemeinsam mit der Jah-resnote erhoben. Für die Studie wird ein Pfadmodell entwickelt und mit einer Pfadanalyse ausge-wertet. Dabei zeigen sich zwar Zusammenhänge zwischen den gemessenen Kompetenzen in Mathematik und den Jahresnoten. Diese Jahresnoten besitzen über die Klasse bzw. die Schule hinaus aber nur eine bedingte Aussagekraft über die erbrachten Leistungen. N2 - The present study deals with the school model of the Neuen Mittelschule that emerged after a structural change in lower secondary education. It examines whether this school model and the new teaching, learning and examination cul-ture intended by it allow correlations to be established between the mathematical competences measured in the pupils and the annual marks awarded by the tea-chers. The literature research makes it clear that the criticism of the monoculture of teacher-centred teaching does lead to a new teaching, learning and examination culture, but its contents are quite different, complex and not clearly defined. In the NMS, performance assessment is supposed to function as a learning aid, but also to make reliable statements about the students' performance. There are no empirical findings on the effect of the new learning culture in the NMS, nor on the effect of performance assessment. The empirical study involves 79 sixth-grade pupils from three Neue Mittelschulen (densely populated, moderately populated, sparsely populated municipality) in Niederösterreich. In each school, two classes are examined. The level of compe-tence in mathematics, pupil-centredness as well as social and performance pres-sure from the pupils' point of view as well as the annual grade will be surveyed. A path model is developed for the study and evaluated with a path analysis. Although there are correlations between the competencies measured in mathema-tics and the annual grades, these annual grades are only of limited significance beyond the class or school. However, these annual grades have only limited significance for the performance achieved beyond the class or school. KW - Mathematik KW - Noten KW - Kompetenzen KW - mathematics KW - grades KW - competences Y1 - 2023 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-591514 ER - TY - JOUR A1 - Westphal, Andrea A1 - Vock, Miriam A1 - Kretschmann, Julia T1 - Unravelling the relationship between teacher-assigned grades, student personality, and standardized test scores JF - Frontiers in psychology / Frontiers Research Foundation N2 - The Big Five personality traits play a major role in student achievement. As such, there is consistent evidence that students that are more conscientious receive better teacher-assigned grades in secondary school. However, research often does not support the claim that students that are more conscientious similarly achieve higher scores in domain-specific standardized achievement tests. Based on the Invest-and-Accrue Model, we argue that conscientiousness explains to some extent why certain students receive better grades despite similar academic accomplishments (i.e., achieving similar scores in domain-specific standardized achievement tests). Therefore, the present study examines to what extent the relationship between student personality and teacher-assigned grades consists of direct as opposed to indirect associations (via subject-specific standardized test scores). We used a representative sample of 14,710 ninth-grade students to estimate these direct and indirect pathways in mathematics and German. Structural equation models showed that test scores explained between 8 and 11% of the variance in teacher-assigned grades in mathematics and German. The Big Five personality traits in students additionally explained between 8 and 10% of the variance in grades. Finally, the personality-grade relationship consisted of direct (0.02 | β| ≤ 0.27) and indirect associations via test scores (0.01 | β| ≤ 0.07). Conscientiousness explained discrepancies between teacher-assigned grades and students’ scores in domain-specific standardized tests to a greater extent than any of the other Big Five personality traits. Our findings suggest that students that are more conscientious may invest more effort to accomplish classroom goals, but fall short of mastery. KW - Big Five KW - student personality KW - teacher-assigned grades KW - grading practice KW - conscientiousness KW - mathematics KW - German KW - secondary school Y1 - 2020 U6 - https://doi.org/10.3389/fpsyg.2021.627440 SN - 1664-1078 IS - 12 PB - Frontiers Research Foundation CY - Lausanne ER - TY - GEN A1 - Westphal, Andrea A1 - Vock, Miriam A1 - Kretschmann, Julia T1 - Unravelling the relationship between teacher-assigned grades, student personality, and standardized test scores T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - The Big Five personality traits play a major role in student achievement. As such, there is consistent evidence that students that are more conscientious receive better teacher-assigned grades in secondary school. However, research often does not support the claim that students that are more conscientious similarly achieve higher scores in domain-specific standardized achievement tests. Based on the Invest-and-Accrue Model, we argue that conscientiousness explains to some extent why certain students receive better grades despite similar academic accomplishments (i.e., achieving similar scores in domain-specific standardized achievement tests). Therefore, the present study examines to what extent the relationship between student personality and teacher-assigned grades consists of direct as opposed to indirect associations (via subject-specific standardized test scores). We used a representative sample of 14,710 ninth-grade students to estimate these direct and indirect pathways in mathematics and German. Structural equation models showed that test scores explained between 8 and 11% of the variance in teacher-assigned grades in mathematics and German. The Big Five personality traits in students additionally explained between 8 and 10% of the variance in grades. Finally, the personality-grade relationship consisted of direct (0.02 | β| ≤ 0.27) and indirect associations via test scores (0.01 | β| ≤ 0.07). Conscientiousness explained discrepancies between teacher-assigned grades and students’ scores in domain-specific standardized tests to a greater extent than any of the other Big Five personality traits. Our findings suggest that students that are more conscientious may invest more effort to accomplish classroom goals, but fall short of mastery. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 719 KW - Big Five KW - student personality KW - teacher-assigned grades KW - grading practice KW - conscientiousness KW - mathematics KW - German KW - secondary school Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-523024 SN - 1866-8364 IS - 12 ER - TY - THES A1 - Hohberger, Horst T1 - Semiclassical asymptotics for the scattering amplitude in the presence of focal points at infinity T1 - Semiklassische Asymptotik der Streuamplitude bei unendlich fernen Fokalpunkten N2 - We consider scattering in $\R^n$, $n\ge 2$, described by the Schr\"odinger operator $P(h)=-h^2\Delta+V$, where $V$ is a short-range potential. With the aid of Maslov theory, we give a geometrical formula for the semiclassical asymptotics as $h\to 0$ of the scattering amplitude $f(\omega_-,\omega_+;\lambda,h)$ $\omega_+\neq\omega_-$) which remains valid in the presence of focal points at infinity (caustics). Crucial for this analysis are precise estimates on the asymptotics of the classical phase trajectories and the relationship between caustics in euclidean phase space and caustics at infinity. N2 - Wir betrachten Streuung in $\R^n$, $n\ge 2$, beschrieben durch den Schr\"odinger operator $P(h)=-h^2\Delta+V$, wo $V$ ein kurzreichweitiges Potential ist. Mit Hilfe von Maslov Theorie erhalten wir eine geometrische Formel fuer die semiklassische Asymptotik ($h\to 0$) der Streuamplitude $f(\omega_-,\omega_+;\lambda,h)$ ($\omega_+\neq\omega_-$) welche auch bei Vorhandensein von Fokalpunkten bei Unendlich (Kaustiken) gueltig bleibt. KW - Mathematik KW - Physik KW - Streutheorie KW - Streuamplitude KW - Semiklassik KW - mathematics KW - physics KW - scattering theory KW - semiclassics KW - scattering amplitude Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-11574 ER - TY - JOUR A1 - Kucian, Karin A1 - Zuber, Isabelle A1 - Kohn, Juliane A1 - Poltz, Nadine A1 - Wyschkon, Anne A1 - Esser, Günter A1 - von Aster, Michael G. T1 - Relation Between Mathematical Performance, Math Anxiety, and Affective Priming in Children With and Without Developmental Dyscalculia JF - Frontiers in psychology N2 - Many children show negative emotions related to mathematics and some even develop mathematics anxiety. The present study focused on the relation between negative emotions and arithmetical performance in children with and without developmental dyscalculia (DD) using an affective priming task. Previous findings suggested that arithmetic performance is influenced if an affective prime precedes the presentation of an arithmetic problem. In children with DD specifically, responses to arithmetic operations are supposed to be facilitated by both negative and mathematics-related primes (= negative math priming effect). We investigated mathematical performance, math anxiety, and the domain-general abilities of 172 primary school children (76 with DD and 96 controls). All participants also underwent an affective priming task which consisted of the decision whether a simple arithmetic operation (addition or subtraction) that was preceded by a prime (positive/negative/neutral or mathematics-related) was true or false. Our findings did not reveal a negative math priming effect in children with DD. Furthermore, when considering accuracy levels, gender, or math anxiety, the negative math priming effect could not be replicated. However, children with DD showed more math anxiety when explicitly assessed by a specific math anxiety interview and showed lower mathematical performance compared to controls. Moreover, math anxiety was equally present in boys and girls, even in the earliest stages of schooling, and interfered negatively with performance. In conclusion, mathematics is often associated with negative emotions that can be manifested in specific math anxiety, particularly in children with DD. Importantly, present findings suggest that in the assessed age group, it is more reliable to judge math anxiety and investigate its effects on mathematical performance explicitly by adequate questionnaires than by an affective math priming task. KW - developmental dyscalculia KW - mathematics KW - affective priming KW - calculation KW - arithmetic KW - anxiety KW - gender KW - children Y1 - 2018 U6 - https://doi.org/10.3389/fpsyg.2018.00263 SN - 1664-1078 VL - 9 PB - Frontiers Research Foundation CY - Lausanne ER - TY - GEN A1 - Kucian, Karin A1 - Zuber, Isabelle A1 - Kohn, Juliane A1 - Poltz, Nadine A1 - Wyschkon, Anne A1 - Esser, Günter A1 - von Aster, Michael G. T1 - Relation between mathematical performance, math anxiety, and affective priming in children with and without developmental dyscalculia T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - Many children show negative emotions related to mathematics and some even develop mathematics anxiety. The present study focused on the relation between negative emotions and arithmetical performance in children with and without developmental dyscalculia (DD) using an affective priming task. Previous findings suggested that arithmetic performance is influenced if an affective prime precedes the presentation of an arithmetic problem. In children with DD specifically, responses to arithmetic operations are supposed to be facilitated by both negative and mathematics-related primes (= negative math priming effect). We investigated mathematical performance, math anxiety, and the domain-general abilities of 172 primary school children (76 with DD and 96 controls). All participants also underwent an affective priming task which consisted of the decision whether a simple arithmetic operation (addition or subtraction) that was preceded by a prime (positive/negative/neutral or mathematics-related) was true or false. Our findings did not reveal a negative math priming effect in children with DD. Furthermore, when considering accuracy levels, gender, or math anxiety, the negative math priming effect could not be replicated. However, children with DD showed more math anxiety when explicitly assessed by a specific math anxiety interview and showed lower mathematical performance compared to controls. Moreover, math anxiety was equally present in boys and girls, even in the earliest stages of schooling, and interfered negatively with performance. In conclusion, mathematics is often associated with negative emotions that can be manifested in specific math anxiety, particularly in children with DD. Importantly, present findings suggest that in the assessed age group, it is more reliable to judge math anxiety and investigate its effects on mathematical performance explicitly by adequate questionnaires than by an affective math priming task. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 684 KW - developmental dyscalculia KW - mathematics KW - affective priming KW - calculation KW - arithmetic KW - anxiety KW - gender KW - children Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-460671 SN - 1866-8364 IS - 684 ER - TY - JOUR A1 - Lazarides, Rebecca A1 - Dicke, Anna-Lena A1 - Rubach, Charlott A1 - Eccles, Jacquelynne Sue T1 - Profiles of motivational beliefs in math BT - exploring their development, relations to student-perceived classroom characteristics, and impact on future career aspirations and choices JF - The journal of educational psychology N2 - Four topics were investigated in this longitudinal person-centered study: (a) profiles of subjective task values and ability self-concepts of adolescents in the domain of mathematics, (b) the stability of and changes to the profiles of motivational beliefs from Grade 7 to 12, (c) the relation of changes to student-perceived classroom characteristics, and (d) the extent to which profile membership in early adolescence predicted mathematics achievement and career plans in late adolescence and the choice of math-related college majors and occupations in adulthood. Data were drawn from the Michigan Study of Adolescent and Adult Life Transitions Study. We focused on students who participated in the following 4 waves of data collection (N = 867): at the beginning of Grade 7 (Wave 3), at the end of Grade 7, in Grade 10 (Wave 5), and in Grade 12 (Wave 6). Four profiles that were stable across Grades 7 to 12 were identified using Latent Profile Analysis. Student-reported fairness and friendliness and competition in class predicted changes in profile membership. Profile membership in Grade 7 predicted math-related career plans in Grade 12. Profile membership in Grade 12 predicted the choice of math-related college major after finishing school and of math-related occupations in adulthood. KW - task value KW - self-concept KW - latent profile analysis KW - classroom KW - characteristics KW - mathematics Y1 - 2020 U6 - https://doi.org/10.1037/edu0000368 SN - 0022-0663 SN - 1939-2176 VL - 112 IS - 1 SP - 70 EP - 92 PB - American Psychological Association CY - Washington ER - TY - JOUR A1 - Keller, Lena A1 - Preckel, Franzis A1 - Brunner, Martin T1 - Nonlinear relations between achievement and academic self-concepts in elementary and secondary school BT - an integrative data analysis across 13 countries JF - Journal of educational psychology / American Psychological Association N2 - It is well-documented that academic achievement is associated with students' self-perceptions of their academic abilities, that is, their academic self-concepts. However, low-achieving students may apply self-protective strategies to maintain a favorable academic self-concept when evaluating their academic abilities. Consequently, the relation between achievement and academic self-concept might not be linear across the entire achievement continuum. Capitalizing on representative data from three large-scale assessments (i.e., TIMSS, PIRLS, PISA; N = 470,804), we conducted an integrative data analysis to address nonlinear trends in the relations between achievement and the corresponding self-concepts in mathematics and the verbal domain across 13 countries and 2 age groups (i.e., elementary and secondary school students). Polynomial and interrupted regression analyses showed nonlinear relations in secondary school students, demonstrating that the relations between achievement and the corresponding self-concepts were weaker for lower achieving students than for higher achieving students. Nonlinear effects were also present in younger students, but the pattern of results was rather heterogeneous. We discuss implications for theory as well as for the assessment and interpretation of self-concept. KW - academic achievement KW - academic self-concept KW - mathematics KW - reading KW - nonlinear relations Y1 - 2021 U6 - https://doi.org/10.1037/edu0000533 SN - 0022-0663 SN - 1939-2176 VL - 113 IS - 3 SP - 585 EP - 604 PB - American Psychological Association CY - Washington ER - TY - GEN A1 - Schmidt, Hendrikje A1 - Felisatti, Arianna A1 - Aster, Michael von A1 - Wilbert, Jürgen A1 - Moers, Arpad von A1 - Fischer, Martin H. T1 - Neuromuscular Diseases Affect Number Representation and Processing BT - An Exploratory Study T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - Spinal muscular atrophy (SMA) and Duchenne muscular dystrophy (DMD) both are rare genetic neuromuscular diseases with progressive loss of motor ability. The neuromotor developmental course of those diseases is well documented. In contrast, there is only little evidence about characteristics of general and specific cognitive development. In both conditions the final motor outcome is characterized by an inability to move autonomously: children with SMA never accomplish independent motoric exploration of their environment, while children with DMD do but later lose this ability again. These profound differences in developmental pathways might affect cognitive development of SMA vs. DMD children, as cognition is shaped by individual motor experiences. DMD patients show impaired executive functions, working memory, and verbal IQ, whereas only motor ability seems to be impaired in SMA. Advanced cognitive capacity in SMA may serve as a compensatory mechanism for achieving in education, career progression, and social satisfaction. This study aimed to relate differences in basic numerical concepts and arithmetic achievement in SMA and DMD patients to differences in their motor development and resulting sensorimotor and environmental experiences. Horizontal and vertical spatial-numerical associations were explored in SMA/DMD children ranging between 6 and 12 years through the random number generation task. Furthermore, arithmetic skills as well as general cognitive ability were assessed. Groups differed in spatial number processing as well as in arithmetic and domain-general cognitive functions. Children with SMA showed no horizontal and even reversed vertical spatial-numerical associations. Children with DMD on the other hand revealed patterns in spatial numerical associations comparable to healthy developing children. From the embodied Cognition perspective, early sensorimotor experience does play a role in development of mental number representations. However, it remains open whether and how this becomes relevant for the acquisition of higher order cognitive and arithmetic skills. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 718 KW - spatial-numerical associations KW - numerical processing KW - mathematics KW - child development KW - embodied cognition KW - neuromuscular disease KW - spinal muscular atrophy KW - Duchenne muscular dystrophy Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-522312 SN - 1866-8364 ER - TY - JOUR A1 - Schmidt, Hendrikje A1 - Felisatti, Arianna A1 - Aster, Michael von A1 - Wilbert, Jürgen A1 - Moers, Arpad von A1 - Fischer, Martin H. T1 - Neuromuscular diseases affect number representation and processing BT - An exploratory study JF - Frontiers in psychology / Frontiers Research Foundation N2 - Spinal muscular atrophy (SMA) and Duchenne muscular dystrophy (DMD) both are rare genetic neuromuscular diseases with progressive loss of motor ability. The neuromotor developmental course of those diseases is well documented. In contrast, there is only little evidence about characteristics of general and specific cognitive development. In both conditions the final motor outcome is characterized by an inability to move autonomously: children with SMA never accomplish independent motoric exploration of their environment, while children with DMD do but later lose this ability again. These profound differences in developmental pathways might affect cognitive development of SMA vs. DMD children, as cognition is shaped by individual motor experiences. DMD patients show impaired executive functions, working memory, and verbal IQ, whereas only motor ability seems to be impaired in SMA. Advanced cognitive capacity in SMA may serve as a compensatory mechanism for achieving in education, career progression, and social satisfaction. This study aimed to relate differences in basic numerical concepts and arithmetic achievement in SMA and DMD patients to differences in their motor development and resulting sensorimotor and environmental experiences. Horizontal and vertical spatial-numerical associations were explored in SMA/DMD children ranging between 6 and 12 years through the random number generation task. Furthermore, arithmetic skills as well as general cognitive ability were assessed. Groups differed in spatial number processing as well as in arithmetic and domain-general cognitive functions. Children with SMA showed no horizontal and even reversed vertical spatial-numerical associations. Children with DMD on the other hand revealed patterns in spatial numerical associations comparable to healthy developing children. From the embodied Cognition perspective, early sensorimotor experience does play a role in development of mental number representations. However, it remains open whether and how this becomes relevant for the acquisition of higher order cognitive and arithmetic skills. KW - spatial-numerical associations KW - numerical processing KW - mathematics KW - child development KW - embodied cognition KW - neuromuscular disease KW - spinal muscular atrophy KW - Duchenne muscular dystrophy Y1 - 2021 U6 - https://doi.org/10.3389/fpsyg.2021.697881 SN - 1664-1078 VL - 12 PB - Frontiers Research Foundation CY - Lausanne ER -