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(Personen: "Rakoczy," und "Katrin")
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Multiple solutions for real-world problems and students' procedural and conceptual knowledge
Achmetli, Kay; Schukajlow, Stanislaw; Rakoczy, Katrin
Journal Article
| In: International Journal of Science and Mathematics Education | 2019
38890 Endnote
Author(s):
Achmetli, Kay; Schukajlow, Stanislaw; Rakoczy, Katrin
Title:
Multiple solutions for real-world problems and students' procedural and conceptual knowledge
In:
International Journal of Science and Mathematics Education, 17 (2019) 8, S. 1605-1625
DOI:
10.1007/s10763-018-9936-5
URL:
https://link.springer.com/article/10.1007%2Fs10763-018-9936-5
Publication Type:
3a. Beiträge in begutachteten Zeitschriften; Aufsatz (keine besondere Kategorie)
Language:
Englisch
Keywords:
Mathematikunterricht; Kompetenz; Erfahrung; Wissen; Vorwissen; Problemlösen; Problem; Alltag; Aufgabe; Unterrichtsmethode; Schüler; Schuljahr 09; Test; Befragung; Hypothese; Pfadanalyse; Experimentelle Untersuchung; Deutschland
Abstract:
An effective way to improve students' mathematical knowledge is to have them construct multiple solutions for real-world problems. Prior knowledge is a relevant prerequisite for learning outcomes, and the experience of competence is a basic need that has to be fulfilled to improve achievement. In the current experimental study (N = 307), we investigated how the construction of multiple solutions for real-world problems by applying multiple (two) mathematical procedures affected students' procedural and conceptual knowledge and their experience of competence. Path analyses showed that constructing multiple solutions for real-world problems increased students' feelings of competence and affected their procedural and conceptual knowledge indirectly through the experience of competence. Moreover, students' prior knowledge affected their knowledge at posttest directly as well as indirectly via their experience of competence. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
Formative assessment in mathematics. Mediated by feedback's perceived usefulness and students' […]
Rakoczy, Katrin; Pinger, Petra; Hochweber, Jan; Klieme, Eckhard; Schütze, Birgit; Besser, Michael
Journal Article
| In: Learning and Instruction | 2019
38172 Endnote
Author(s):
Rakoczy, Katrin; Pinger, Petra; Hochweber, Jan; Klieme, Eckhard; Schütze, Birgit; Besser, Michael
Title:
Formative assessment in mathematics. Mediated by feedback's perceived usefulness and students' self-efficacy
In:
Learning and Instruction, 60 (2019) , S. 154-165
DOI:
10.1016/j.learninstruc.2018.01.004
URL:
https://www.sciencedirect.com/science/article/pii/S0959475217302189?via%3Dihub
Publication Type:
3a. Beiträge in begutachteten Zeitschriften; Aufsatz (keine besondere Kategorie)
Language:
Englisch
Keywords:
Längsschnittuntersuchung; Hessen; Deutschland; Mathematikunterricht; Schülerleistung; Leistungsbeurteilung; Feedback; Wirkung; Interesse; Lernerfolg; Selbstwirksamkeit; Schüler; Wahrnehmung; Schuljahr 09; Realschule; Lernprozess; Lernziel; Lernstrategie; Leistungstest
Abstract (english):
Although formative assessment is regarded as a promising way to improve teaching and learning, there is considerable need for research on precisely how it influences student learning. In this study we developed and implemented a formative assessment intervention for mathematics instruction and investigated whether it had effects on students' interest and achievement directly and via students' perception of the usefulness of the feedback and their self-efficacy. We conducted a cluster randomized field trial with pretest and posttest. The 26 participating classes were randomly assigned to a control group or the intervention group. Results of path analyses indicate that feedback was perceived as more useful in the formative assessment condition, self-efficacy was greater, and interest tended to increase; learning progress did not differ between the groups. The assumed indirect effects were partly confirmed: formative assessment showed an indirect effect on interest via its perceived usefulness. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
Does constructing multiple solutions for real-world problems affect self-efficacy
Schukajlow, Stanislaw; Achmetli, Kay; Rakoczy, Katrin
Journal Article
| In: Educational Studies in Mathematics | 2019
38726 Endnote
Author(s):
Schukajlow, Stanislaw; Achmetli, Kay; Rakoczy, Katrin
Title:
Does constructing multiple solutions for real-world problems affect self-efficacy
In:
Educational Studies in Mathematics, 100 (2019) 1, S. 43-60
DOI:
10.1007/s10649-018-9847-y
URL:
https://link.springer.com/article/10.1007%2Fs10649-018-9847-y
Publication Type:
3a. Beiträge in begutachteten Zeitschriften; Aufsatz (keine besondere Kategorie)
Language:
Englisch
Keywords:
Mathematikunterricht; Problemlösen; Problem; Realität; Unterrichtsmethode; Wirkung; Selbstwirksamkeit; Kompetenz; Wahrnehmung; Hypothese; Pfadanalyse; Modell; Unterrichtseinheit; Gesamtschule; Schüler; Schuljahr 09; Befragung; Fragebogen; Deutschland
Abstract (english):
The development of multiple solutions for a given problem is important for learning mathematics. In the present intervention study, we analyzed whether prompting students to construct multiple solutions (more precisely: prompting them to apply multiple mathematical procedures to real-world problems) and prior self-efficacy influenced students' self-efficacy directly as well as indirectly via perceived competence. Students' self-efficacy (N = 304) was measured before and after a 4-lesson teaching unit, and students' perceived competence was measured during the unit. Results of the path model showed that although prompting multiple solutions did not positively affect self-efficacy, indirect effects of teaching method on self-efficacy were found. Students who were asked to develop multiple solutions perceived higher competence and reported higher self-efficacy than students who were required to provide one solution. These indirect effects were significant for students with low prior self-efficacy and nonsignificant for students with high prior self-efficacy, indicating the moderating effect of prior self-efficacy. This finding indicates that students with unfavorable learning prerequisites such as low self-efficacy might benefit from teaching methods that require them to construct multiple solutions. Further, students with low prior self-efficacy reported lower competence during the lessons regardless of whether they were asked to develop one or multiple solutions; they also reported lower self-efficacy at posttest prior self-efficacy was controlled for. Our findings therefore indicate that disadvantages for students with low prior self-efficacy for the further development of self-efficacy during learning might be balanced by teaching students to construct multiple solutions. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
Was ist und wie fördert man Bildkompetenz? Ansätze und Methoden der Wahrnehmungspsychologie und der […]
Rakoczy, Katrin; Frick, Ulrich; Weiß, Susanne; Tallon, Miles; Wagner, Ernst
Journal Article
| In: BDK-Mitteilungen | 2019
39362 Endnote
Author(s):
Rakoczy, Katrin; Frick, Ulrich; Weiß, Susanne; Tallon, Miles; Wagner, Ernst
Title:
Was ist und wie fördert man Bildkompetenz? Ansätze und Methoden der Wahrnehmungspsychologie und der quantitativ-empirischen Bildungsforschung
In:
BDK-Mitteilungen, (2019) 3, S. 18-21
Publication Type:
3b. Beiträge in weiteren Zeitschriften; praxisorientiert
Language:
Deutsch
DIPF-Departments:
Bildungsqualität und Evaluation
Das Co2CA-Projekt. Gestaltung und Wirkung von schriftlichem Feedback im Mathematikunterricht
Schütze, Birgit; Rakoczy, Katrin
Journal Article
| In: Friedrich Jahresheft | 2019
39041 Endnote
Author(s):
Schütze, Birgit; Rakoczy, Katrin
Title:
Das Co2CA-Projekt. Gestaltung und Wirkung von schriftlichem Feedback im Mathematikunterricht
In:
Friedrich Jahresheft, 37 (2019) , S. 32-33
Publication Type:
3b. Beiträge in weiteren Zeitschriften; praxisorientiert
Language:
Deutsch
Keywords:
Mathematikunterricht; Feedback; 6800 |s|!1504609069!Schriftlicher Test; Wirkung; Motivation; Schüler; Kompetenz; Modell; Problemlösen; Schülerbeurteilung; Projekt
Abstract:
Für lösungsprozessbezogenes Feedback wurde im Rahmen des Co2CA-Projekts in einer Interventionsstudie bereits gezeigt, dass sie auch im realen Unterrichtskontext umsetzbar ist und motivationale Prozesse der Schülerinnen und Schüler fördert. Eine Veränderung der Feedbackkultur im Mathematikunterricht im Sinne eines lernbegleitenden Einsatzes elaborierten Feedbacks kann dazu beitragen, Schülerinnen und Schüler noch besser in ihrem Lernprozess zu unterstützen. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
Implementation of formative assessment - effects of quality of programme delivery on students' […]
Pinger, Petra; Rakoczy, Katrin; Besser, Michael; Klieme, Eckhard
Journal Article
| In: Assessment in Education | 2018
36450 Endnote
Author(s):
Pinger, Petra; Rakoczy, Katrin; Besser, Michael; Klieme, Eckhard
Title:
Implementation of formative assessment - effects of quality of programme delivery on students' mathematics achievement and interest
In:
Assessment in Education, 25 (2018) 2, S. 160-182
DOI:
10.1080/0969594X.2016.1170665
URL:
https://www.tandfonline.com/doi/full/10.1080/0969594X.2016.1170665
Publication Type:
3a. Beiträge in begutachteten Zeitschriften; Aufsatz (keine besondere Kategorie)
Language:
Englisch
Keywords:
Regressionsanalyse; Hessen; Deutschland; Schülerleistung; Leistungsbeurteilung; Mathematikunterricht; Feedback; Qualität; Implementierung; Wirkung; Interesse; Mathematische Kompetenz; Realschule; Mathematiklehrer; Schuljahr 09; Schüler; Einflussfaktor; Lernprozess; Lernerfolg; Mehrebenenanalyse
Abstract (english):
The aim of this study was to contribute to the understanding of the effectiveness of formative assessment interventions by analysing how the quality of programme delivery affects students' mathematics achievement and interest. Teachers (n = 17) implemented formative assessment in their ninth-grade mathematics classes and provided their students (n = 426) with written process-oriented feedback. Four feedback characteristics (number of feedback comments, specificity, feedback at self level, social reference norm) and two types of embedment of feedback in the instructional context (focus on feedback utilisation, focus on performance evaluation) were evaluated. Multilevel regression analyses revealed no significant effects of feedback characteristics on interest but negative effects of number of feedback comments and specificity on achievement in mathematics. Positive effects on mathematics achievement and interest were found when feedback was embedded in instruction and had emphasis on feedback utilisation. Students' interest also was affected positively when performance evaluation was stressed. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
Interplay of formative assessment and instructional quality - interactive effects on students' […]
Pinger, Petra; Rakoczy, Katrin; Besser, Michael; Klieme, Eckhard
Journal Article
| In: Learning Environments Research | 2018
37462 Endnote
Author(s):
Pinger, Petra; Rakoczy, Katrin; Besser, Michael; Klieme, Eckhard
Title:
Interplay of formative assessment and instructional quality - interactive effects on students' mathematics achievement
In:
Learning Environments Research, 21 (2018) 1, S. 61-79
DOI:
10.1007/s10984-017-9240-2
URL:
https://link.springer.com/article/10.1007%2Fs10984-017-9240-2
Publication Type:
3a. Beiträge in begutachteten Zeitschriften; Aufsatz (keine besondere Kategorie)
Language:
Englisch
Keywords:
Bewertung; Deutschland; Empirische Untersuchung; Feedback; Hessen; Instruktion; Intervention; Lehrer; Mathematikunterricht; Mehrebenenanalyse; Prozessorientierung <Methode>; Qualität; Quasi-Experiment; Regressionsanalyse; Schüler-Lehrer-Beziehung; Schülerleistung; Schuljahr 09; Sekundarstufe I; Unterricht; Zeit
Abstract (english):
Formative assessment is considered to be a promising teaching practice for promoting teaching and learning processes. The implementation of teaching practices into instruction involves intervening with a learning environment that is characterised by certain features of instructional quality. Our study aims to contribute to the understanding of formative assessment by analysing the interplay between a formative assessment intervention and aspects of general instructional quality. In a quasi-experimental study design, 15 teachers participated in a control group (n = 361 students) and 20 teachers in the intervention classes (n = 498 students) implemented a curriculum-embedded formative assessment tool in their ninth-grade mathematics classes. No effects were found for the intervention on the assessed aspects of general instructional quality (process-oriented instruction, teacher-student relationship, effective use of instructional time). However, multilevel regression analyses revealed an interaction effect between the intervention and process-orientation and the effective use of instruction time. Our findings suggest that implementing formative assessment tools do not seem to suffice regarding changes in general instructional quality, but that an intervention with detailed material and guidelines can counterbalance effects of instructional quality, fostering students' achievement in classes with lower degrees of process orientation and a less effective use of instructional time. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
The interplay of formative assessment and instructional quality. Interactive effects on students' […]
Pinger, Petra; Rakoczy, Katrin; Besser, Michael; Klieme, Eckhard
Journal Article
| In: Learning Environments Research | 2018
38312 Endnote
Author(s):
Pinger, Petra; Rakoczy, Katrin; Besser, Michael; Klieme, Eckhard
Title:
The interplay of formative assessment and instructional quality. Interactive effects on students' mathematics achievement
In:
Learning Environments Research, 21 (2018) 1, S. 61-79
DOI:
10.1007/s10984-017-9240-2
URN:
urn:nbn:de:0111-pedocs-174072
URL:
http://nbn-resolving.org/urn:nbn:de:0111-pedocs-174072
Publication Type:
3a. Beiträge in begutachteten Zeitschriften; Aufsatz (keine besondere Kategorie)
Language:
Englisch
Keywords:
Schülerleistung; Lernprozess; Feedback; Lerndiagnostik; Unterrichtsmethode; Intervention; Unterricht; Qualität; Mathematikunterricht; Schuljahr 09; Lehrer; Training; Quasi-Experiment; Mehrebenenanalyse; Regressionsanalyse; Hessen
Abstract:
Formative assessment is considered to be a promising teaching practice for promoting teaching and learning processes. The implementation of teaching practices into instruction involves intervening with a learning environment that is characterised by certain features of instructional quality. Our study aims to contribute to the understanding of formative assessment by analysing the interplay between a formative assessment intervention and aspects of general instructional quality. In a quasi-experimental study design, 15 teachers participated in a control group (n = 361 students) and 20 teachers in the intervention classes (n = 498 students) implemented a curriculum-embedded formative assessment tool in their ninth-grade mathematics classes. No effects were found for the intervention on the assessed aspects of general instructional quality (process-oriented instruction, teacher-student relationship, effective use of instructional time). However, multilevel regression analyses revealed an interaction effect between the intervention and process-orientation and the effective use of instruction time. Our findings suggest that implementing formative assessment tools do not seem to suffice regarding changes in general instructional quality, but that an intervention with detailed material and guidelines can counterbalance effects of instructional quality, fostering students' achievement in classes with lower degrees of process orientation and a less effective use of instructional time. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
(Wie) wirkt formatives Assessment in Mathematik auf Leistung und Interesse von Lernenden?
Rakoczy, Katrin; Pinger, Petra; Hochweber, Jan; Schütze, Birgit; Besser, Michael
Book Chapter
| Aus: Kompetenzzentrum Schulpsychologie BW (Hrsg.): Psychosoziale Faktoren von Unterrichtsqualität | Stuttgart: Kompetenzzentrum Schulpsychologie Baden-Württemberg | 2018
38891 Endnote
Author(s):
Rakoczy, Katrin; Pinger, Petra; Hochweber, Jan; Schütze, Birgit; Besser, Michael
Title:
(Wie) wirkt formatives Assessment in Mathematik auf Leistung und Interesse von Lernenden?
In:
Kompetenzzentrum Schulpsychologie BW (Hrsg.): Psychosoziale Faktoren von Unterrichtsqualität, Stuttgart: Kompetenzzentrum Schulpsychologie Baden-Württemberg, 2018 (Infobrief Schulpsychologie BW, 18-1), S. 1-7
URL:
http://www.kompetenzzentrum-schulpsychologie-bw.de/site/pbs-bw-new/get/params_Dattachment/5419678/Rakoczy_InfobriefSchulpsychBW18-1.pdf
Publication Type:
4. Beiträge in Sammelbänden; Sonstiges
Language:
Deutsch
Keywords:
Mathematikunterricht; Schüler; Leistungsbeurteilung; Feedback; Wirkung; Leistungssteigerung; Interesse; Selbstwirksamkeit; Intervention; Schuljahr 09; Leistungstest; Schülerleistung; Wahrnehmung; Projekt; Quasi-Experiment; Hessen; Deutschland
Abstract:
Sowohl Bildungsforscher/innen als auch Praktiker/innen sehen eine große Chance in Ansätzen des formativen Assessments. Obgleich seine Wirkung in zahlreichen Studien belegt werden konnte, bedarf es weiterer Klärung, wie die berichteten Erfolge erzielt werden können. Erst wenn klar ist, wie formatives Assessment aufgebaut sein sollte (siehe Abschnitt 2) und welche individuellen Wahrnehmungs- und Verarbeitungsprozesse der Lernenden die Wirkung zu erklären helfen (siehe Abschnitt 3), können Rückschlüsse auf die Unterrichtspraxis gezogen werden. Das von der Deutschen Forschungsgemeinschaft geförderte Projekt Conditions and Consequences of Classroom Assessment (Co2CA) beschäftigte sich in mehreren Teilstudien mit der Gestaltung und Wirkung von formativem Assessment im Unterrichtsfach Mathematik (für einen Überblick über das Projekt siehe Rakoczy, Klieme, Leiß & Blum, 2017). In Abschnitt 4 werden entsprechende Ergebnisse aus der Interventionsstudie des Projekts vorgestellt. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
Emotions and motivation in mathematics education
Schukajlow, Stanislaw; Rakoczy, Katrin; Pekrun, Reinhard (Hrsg.)
Compilation Book
| Berlin: Springer | 2017
37396 Endnote
Editor(s)
Schukajlow, Stanislaw; Rakoczy, Katrin; Pekrun, Reinhard
Title:
Emotions and motivation in mathematics education
Published:
Berlin: Springer, 2017 (ZDM Mathematics Education, 49, No. 3)
URL:
https://link.springer.com/journal/11858/49/3/page/1
Publication Type:
2. Herausgeberschaft; Zeitschriftensonderheft
Language:
Englisch
Keywords:
Angst; Bildungsforschung; Emotion; Empirische Forschung; Forschungsstand; Freude; Interesse; Langeweile; Lernerfolg; Mathematikunterricht; Motivation; Problemlösen; Selbstkonzept; Selbstregulation; Selbstwirksamkeit
Abstract:
Emotions and motivation are important prerequisites, mediators, and outcomes of learning and achievement. In this article, we first review major theoretical approaches and empirical findings in research on students' emotions and motivation in mathematics, including a discussion of how classroom instruction can support emotions and motivation. Based on this review, we encourage researchers from mathematics education and other disciplines of educational research to combine their efforts. Second, we provide an overview of the contributions in this special issue, most of which reflect such a combination of efforts by considering perspectives from both mathematics education and other fields of educational research. Finally, we consider the neglect of intervention studies and outline directions for future research. We identify intervention studies that target emotions and motivation as one promising but so far underrepresented line of research in mathematics education and review results from existing intervention studies. For future research, we suggest that researchers should implement fine-grained concepts, assessment instruments, theoretical hypotheses, and methods of analysis tailored to the specific features of the mathematical domain to adequately investigate students' emotions and motivation in this domain. (DIPF/Orig.)
DIPF-Departments:
Bildungsqualität und Evaluation
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