Capturing the subject-specific quality of mathematics instruction: How do expert judgments relate to students’ assessments of the quality of their own learning and understanding?

Based on an opportunity-use model of instructional quality, this study investigates the extent to which subject-specific instructional quality rated by experts is reflected in students’ assessments of their own learning and understanding, and how students’ perceptions predict their achievement. The...

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Vydané v:ZDM Ročník 56; číslo 5; s. 893 - 905
Hlavní autori: Pauli, Christine, Lipowsky, Frank, Reusser, Kurt
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2024
Springer Nature B.V
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Abstract Based on an opportunity-use model of instructional quality, this study investigates the extent to which subject-specific instructional quality rated by experts is reflected in students’ assessments of their own learning and understanding, and how students’ perceptions predict their achievement. The analyses used data from a German-Swiss sample of 36 classes with around 900 lower secondary students, obtained as part of the so-called “Pythagoras study” in the school year 2002/2003. The teachers were instructed to introduce the Pythagorean theorem in three lessons, which were videotaped. Using the videos, the experts assessed the instruction quality with respect to the goal of promoting a deep understanding of the theorem. The students completed the questionnaires assessing their understanding of the content, their learning process, and the general comprehension orientation of the teacher. The results showed significant and moderate correlations on the class level between expert-rated subject-specific teaching quality and students’ perceptions of their own learning and understanding, as well as of the teacher’s general comprehension orientation. Multilevel models revealed that subject-specific expert ratings are reflected in individual students’ perceptions of their own learning and understanding. Student perceptions were also associated with achievement gains. The results suggest that the assessment of quality by students and experts is more closely linked if a distinction is made between the quality of the learning opportunities offered and their use and if subject-specific criteria are used instead of generic criteria. This study contributes to a more nuanced understanding of the validity of student perspective in assessing instructional quality.
AbstractList Based on an opportunity-use model of instructional quality, this study investigates the extent to which subject-specific instructional quality rated by experts is reflected in students’ assessments of their own learning and understanding, and how students’ perceptions predict their achievement. The analyses used data from a German-Swiss sample of 36 classes with around 900 lower secondary students, obtained as part of the so-called “Pythagoras study” in the school year 2002/2003. The teachers were instructed to introduce the Pythagorean theorem in three lessons, which were videotaped. Using the videos, the experts assessed the instruction quality with respect to the goal of promoting a deep understanding of the theorem. The students completed the questionnaires assessing their understanding of the content, their learning process, and the general comprehension orientation of the teacher. The results showed significant and moderate correlations on the class level between expert-rated subject-specific teaching quality and students’ perceptions of their own learning and understanding, as well as of the teacher’s general comprehension orientation. Multilevel models revealed that subject-specific expert ratings are reflected in individual students’ perceptions of their own learning and understanding. Student perceptions were also associated with achievement gains. The results suggest that the assessment of quality by students and experts is more closely linked if a distinction is made between the quality of the learning opportunities offered and their use and if subject-specific criteria are used instead of generic criteria. This study contributes to a more nuanced understanding of the validity of student perspective in assessing instructional quality.
Based on an opportunity-use model of instructional quality, this study investigates the extent to which subject-specific instructional quality rated by experts is reflected in students' assessments of their own learning and understanding, and how students' perceptions predict their achievement. The analyses used data from a German-Swiss sample of 36 classes with around 900 lower secondary students, obtained as part of the so-called "Pythagoras study" in the school year 2002/2003. The teachers were instructed to introduce the Pythagorean theorem in three lessons, which were videotaped. Using the videos, the experts assessed the instruction quality with respect to the goal of promoting a deep understanding of the theorem. The students completed the questionnaires assessing their understanding of the content, their learning process, and the general comprehension orientation of the teacher. The results showed significant and moderate correlations on the class level between expert-rated subject-specific teaching quality and students' perceptions of their own learning and understanding, as well as of the teacher's general comprehension orientation. Multilevel models revealed that subject-specific expert ratings are reflected in individual students' perceptions of their own learning and understanding. Student perceptions were also associated with achievement gains. The results suggest that the assessment of quality by students and experts is more closely linked if a distinction is made between the quality of the learning opportunities offered and their use and if subject-specific criteria are used instead of generic criteria. This study contributes to a more nuanced understanding of the validity of student perspective in assessing instructional quality. The online version contains supplementary material available at 10.1007/s11858-024-01561-3.
Based on an opportunity-use model of instructional quality, this study investigates the extent to which subject-specific instructional quality rated by experts is reflected in students' assessments of their own learning and understanding, and how students' perceptions predict their achievement. The analyses used data from a German-Swiss sample of 36 classes with around 900 lower secondary students, obtained as part of the so-called "Pythagoras study" in the school year 2002/2003. The teachers were instructed to introduce the Pythagorean theorem in three lessons, which were videotaped. Using the videos, the experts assessed the instruction quality with respect to the goal of promoting a deep understanding of the theorem. The students completed the questionnaires assessing their understanding of the content, their learning process, and the general comprehension orientation of the teacher. The results showed significant and moderate correlations on the class level between expert-rated subject-specific teaching quality and students' perceptions of their own learning and understanding, as well as of the teacher's general comprehension orientation. Multilevel models revealed that subject-specific expert ratings are reflected in individual students' perceptions of their own learning and understanding. Student perceptions were also associated with achievement gains. The results suggest that the assessment of quality by students and experts is more closely linked if a distinction is made between the quality of the learning opportunities offered and their use and if subject-specific criteria are used instead of generic criteria. This study contributes to a more nuanced understanding of the validity of student perspective in assessing instructional quality.Based on an opportunity-use model of instructional quality, this study investigates the extent to which subject-specific instructional quality rated by experts is reflected in students' assessments of their own learning and understanding, and how students' perceptions predict their achievement. The analyses used data from a German-Swiss sample of 36 classes with around 900 lower secondary students, obtained as part of the so-called "Pythagoras study" in the school year 2002/2003. The teachers were instructed to introduce the Pythagorean theorem in three lessons, which were videotaped. Using the videos, the experts assessed the instruction quality with respect to the goal of promoting a deep understanding of the theorem. The students completed the questionnaires assessing their understanding of the content, their learning process, and the general comprehension orientation of the teacher. The results showed significant and moderate correlations on the class level between expert-rated subject-specific teaching quality and students' perceptions of their own learning and understanding, as well as of the teacher's general comprehension orientation. Multilevel models revealed that subject-specific expert ratings are reflected in individual students' perceptions of their own learning and understanding. Student perceptions were also associated with achievement gains. The results suggest that the assessment of quality by students and experts is more closely linked if a distinction is made between the quality of the learning opportunities offered and their use and if subject-specific criteria are used instead of generic criteria. This study contributes to a more nuanced understanding of the validity of student perspective in assessing instructional quality.The online version contains supplementary material available at 10.1007/s11858-024-01561-3.Supplementary InformationThe online version contains supplementary material available at 10.1007/s11858-024-01561-3.
Author Pauli, Christine
Reusser, Kurt
Lipowsky, Frank
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Issue 5
Keywords Students’ perceptions of their own learning process
Mathematics instruction
Subject-specific teaching quality
Opportunity-use models
Language English
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Lipowsky, F., Drollinger-Vetter, B., Hartig, J., & Klieme, E. (2006). Dokumentation der Erhebungs- und Auswertungsinstrumente zur schweizerisch-deutschen Videostudie "Unterrichtsqualität, Lernverhalten und mathematisches Verständnis". 2. Leistungstests [Achievement tests]. GFPF. https://doi.org/10.25656/01:3107
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Schlesinger, L., Jentsch, A., Kaiser, G., König, J., & Blömeke, S. (2018). Subject-specific characteristics of instructional quality in mathematics education. ZDM–Mathematics Education, 50(3), 475–490. https://doi.org/10.1007/s11858-018-0917-5
Rakoczy, K., Buff, A., & Lipowsky, F. (2005). Dokumentation der Erhebungs- und Auswertungsinstrumente zur schweizerisch-deutschen Videostudie "Unterrichtsqualität, Lernverhalten und mathematisches Verständnis". 1. Befragungsinstrumente [Questionnaires]. GFPF. https://doi.org/10.25656/01:3106
WertheimerMProductive thinking1945Harper
Drollinger-Vetter, B., Lipowsky, F., Pauli, C., Reusser, K., & Klieme, E. (2006). Cognitive level in problem segments and theory segments. ZDM–Mathematics Education, 38(5), 399–412.
Scherer, R., Nilsen, T., & Jansen, M. (2016). Evaluating individual students' perceptions of instructional quality: An investigation of their factor structure, measurement invariance, and relations to educational outcomes. Frontiers in Psychology, 7(110). https://doi.org/10.3389/fpsyg.2016.00110
Cheng, Q., Shen, J., & Zhang, S. (2023). Comparing perceived and observed instructional practices and their predictive power for student mathematics achievement: An analysis of Shanghai data from OECD global teaching inSights. Asian Journal for Mathematics Education, 27527263231210322. https://doi.org/10.1177/27527263231210322
Aebli, H. (1980/1981). Denken, das Ordnen des Tuns [Thinking: The ordering of doing, Vol. I,II). Klett-Cotta.
Prediger, S., Götze, D., Holzäpfel, L., Rösken-Winter, B., & Selter, C. (2022). Five principles for high-quality mathematics teaching: Combining normative, epistemological, empirical, and pragmatic perspectives for specifying the content of professional development. Frontiers in Education, 7. https://doi.org/10.3389/feduc.2022.969212
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LipowskyFRakoczyKPauliCDrollinger-VetterBKliemeEReusserKQuality of geometry instruction and its short-term impact on students' understanding of the Pythagorean TheoremLearning and Instruction200919652753710.1016/j.learninstruc.2008.11.001
Reusser, K. (2005). Problemorientiertes Lernen - Tiefenstruktur, Gestaltungsformen, Wirkung [Problem-based learning–deep structure, forms of design, effects]. Beiträge zur Lehrerbildung, 23(2), 159–182. https://doi.org/10.25656/01:13570
WallaceTLKelceyBRuzekEWhat can student perception surveys tell us about teaching? Empirically testing the underlying structure of the Tripod student perception surveyAmerican Educational Research Journal20165361834186810.3102/0002831216671864
De JongRWesterhofKJThe quality of student ratings of teacher behaviourLearning Environments Research200141518510.1023/A:1011402608575
Lindmeier, A., & Heinze, A. (2020). Die fachdidaktische Perspektive in der Unterrichtsqualitätsforschung: (bisher) ignoriert, implizit enthalten oder nicht relevant? [The subject-specific perspective in teaching quality research: (so far) ignored, implicitly included or not relevant?]. Zeitschrift für Pädagogik, 66. Beiheft, 255–268.
HiebertJGrouwsDALesterFKThe effects of classroom mathematics teaching on students' learningSecond handbook of research on mathematics teaching and learning2007Information Age Publishing371404
BrunnerEQualität von Mathematikunterricht: Eine Frage der PerspektiveJournal für Mathematik-Didaktik201839225728410.1007/s13138-017-0122-z
DreherALeudersTFachspezifität von Unterrichtsqualität – aus der Perspektive der Mathematikdidaktik [Subject-specificity of instructional quality—From the perspective of mathematics education]Unterrichtswissenschaft202149228529210.1007/s42010-021-00116-9
Praetorius, A.-K., & Charalambous, C. Y. (2018). Classroom observation frameworks for studying instructional quality: looking back and looking forward. ZDM–Mathematics Education, 50(3), 535–553. https://doi.org/10.1007/s11858-018-0946-0
Charalambous, C. Y., & Praetorius, A.-K. (2018). Studying mathematics instruction through different lenses: setting the ground for understanding instructional quality more comprehensively. ZDM–Mathematics Education, 50(3), 355–366. https://doi.org/10.1007/s11858-018-0914-8
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SubjectTerms Classroom Communication
Classroom management
Classroom Research
Classroom Techniques
Comprehension
Criteria
Education
Educational Opportunities
Educational Quality
Knowledge
Learning
Learning Processes
Learning Theories
Mathematical Applications
Mathematics
Mathematics Education
Mathematics Instruction
Mathematics Skills
Observation
Original Paper
Pedagogy
Perceptions
Prior Learning
Quality assessment
Questionnaires
Rating Scales
Ratings & rankings
Student attitudes
Student Behavior
Student Characteristics
Student Evaluation
Student Surveys
Students
Teacher Behavior
Teacher Effectiveness
Teacher Evaluation
Teachers
Teaching
Theorems
Validity
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Title Capturing the subject-specific quality of mathematics instruction: How do expert judgments relate to students’ assessments of the quality of their own learning and understanding?
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