Gabriele Kaiser

Gabriele Kaiser
University of Hamburg | UHH

Doctor of Education

About

255
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Publications

Publications (255)
Article
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Educators sometimes effect changes in education through the implementation of new ideas, and sometimes extraordinary circumstances force them to change their educational approaches, as during the COVID-19 crisis. Although we live in a digital age, the limited use of technology in education, particularly prior to the COVID-19 pandemic, and teachers'...
Article
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Although strong references to expertise in different theoretical approaches to teacher noticing have been made in the last decades, empirical knowledge about the development of teacher noticing from novice to expert level is scarce. The present study aims to close this research gap by comparing three different groups of mathematics teachers with di...
Article
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Existing research indicates inconsistent or at best weak predictive effects of teacher knowledge on student achievement. Data from Germany were used to examine the relation between teachers' content and pedagogical content knowledge, their perception, interpretation, and decision-making skills, the instructional quality implemented in class, and st...
Article
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Teacher noticing has become a prominent construct in research on teacher education and professional development; however, the current state of research is quite diverse, with different theoretical foundations and a variety of research designs. The study described in this paper provides a systematic review of the literature on teacher noticing publi...
Article
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Discrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of mathematical modelling and the accompanying discussion are currently under-researched. In this paper, we el...
Article
Teaching effectiveness is a core issue in educational research; however, there is little consensus about the most important results of classroom teaching from an international perspective. The effectiveness of teaching has remained a ‘black box’ for a long time. In the secondary study described in this paper we used empirical data for Shanghai take...
Article
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Modelling competencies are currently included in numerous curricula worldwide and are generally accepted as a complex, process-oriented construct. Therefore, effective measurement should include multiple dimensions, like the sub-competencies required throughout the modelling process. Departing from the characteristics of modelling problems as open...
Article
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This study examined how expert and novice (preservice) teachers solved mathematical modelling tasks as well as how they noticed written artifacts of student thinking that were in response to the mathematical modelling tasks. Some teachers in both groups were aware of the openness and underdetermination of the modelling tasks and that these characte...
Article
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Mathematical modelling competencies have become a prominent construct in research on the teaching and learning of mathematical modelling and its applications in recent decades; however, current research is diverse, proposing different theoretical frameworks and a variety of research designs for the measurement and fostering of modelling competencie...
Article
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In der vorliegenden Studie wird untersucht, wie sprachbezogene Merkmale von Lehramtsstudierenden und in universitären Lerngelegenheiten von ihnen genutzte Studieninhalte mit ihrem Wissenserwerb zusammenhängen. Es wurden das deutschdidaktische Wissen von N = 320 angehenden Lehrkräften mit Fach Deutsch und das erziehungswissenschaftliche Wissen von N...
Article
Mathematical modeling and applications are an important part of curriculum and considered to be important for students’ current and future lives. In this contribution, we focus on mathematical modeling from a cognitive prospective. Following embedding the cognitive perspective within the discourse of mathematical modeling, we describe some of the c...
Article
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Creativity has been identified as a key characteristic that allows students to adapt smoothly to rapid societal and economic changes in the real world. However, Chinese students appear to perform less well in mathematical problem-solving and problem-posing abilities, which are strongly connected to mathematical creativity. Mathematical modelling ha...
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Although the effects of professional development programs on teachers’ noticing skills have attracted considerable interest among mathematics education researchers, little is known about the developmental process of prospective teachers’ noticing skills within initial teacher education. This paper examines the extent to which prospective teachers’...
Article
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Many students are becoming increasingly disengaged in school, particularly in mathematics. This is an important problem as lack of engagement may threaten students' achievement and performance in mathematics. A flipped learning pedagogy, which encourages students to take an active role in learning mathematics, has become a widely researched topic i...
Conference Paper
Innovative technologies such as Flipped classrooms (FCs) can change the perspective of mathematics teaching and provide different experiences and new ideas. In a qualitative case study, we examined the characteristics of feedback provided by a mathematics teacher in two different secondary mathematics classrooms, comparing non-FCs and FCs. The resu...
Conference Paper
The flipped classroom (FC) approach has become an increasingly popular research topic in recent years. The core idea of FC is to transfer lectures out of the classroom with the help of digital technologies and to allocate in-class time for active learning. The purpose of the presented case study was to investigate student engagement in a flipped se...
Presentation
Results of a systematic literature survey on modelling competencies and possible consequences for ICTMA
Article
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It is widely assumed that teachers play a key role in providing high-quality learning opportunities to students and fostering students’ learning. Yet it is still unclear how specific teacher knowledge facets as part of their professional competence contribute to classroom processes and learning outcomes. Focusing on mathematics education at the sec...
Book
This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical...
Chapter
The title of this book is Mathematical ModellingMathematical modellingEducation in West and East, arising from the ICTMA-19 conference with the same theme. It is argued that since both mathematics itself and mathematics education are human products, and solving problems in real-life context is at the heart of mathematical modellingMathematical mode...
Article
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Task design constitutes a growing core of research in mathematics education. In particular , task design in Dynamic and Interactive Mathematics Learning Environments (DIMLEs) has become very popular, although it remains under-researched. This study aims to systematically analyze the current state of research on task design in DIMLEs. The literature...
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Teacher noticing has become increasingly acknowledged as a fundamental aspect of teacher professional competence. Teacher education scholars have examined how the development of noticing might be supported both in initial teacher education and in professional development. In mathematics teacher education, several studies have explored the use of vi...
Article
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The last decade has witnessed increasing interest in the study of teacher noticing in mathematics education research; however, little is known about the growth of teacher noticing and how it is influenced by teaching practice. Departing from the expert-novice-paradigm, in this paper we address this research gap by a cross-sectional study that inves...
Article
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Innovative methods can change the paradigm of teaching mathematics and inspire teachers to espouse new ideas and gain new experiences. The flipped classroom (FC) is currently an innovative pedagogical approach that has high potential to transform the teaching of mathematics. In the case study described in this paper, we investigated one mathematics...
Chapter
Das „Handbuch Lehrerinnen- und Lehrerbildung“ bietet aus fachlicher, fachdidaktischer, bildungswissenschaftlicher und schulpraktischer Perspektive einen umfassenden forschungsbasierten Überblick zu allen Bereichen der Lehrerinnen- und Lehrerbildung. Das von 174 Autorinnen und Autoren erarbeitete Orientierungswissen wird in 107 Beiträgen präsentiert...
Article
This paper considers various approaches to classroom observation that combine generic and mathematics content-specific dimensions of instructional quality. Using results from previous research in which three research teams each analysed the same three mathematics lessons (from fourth-grade mathematics classrooms in the USA) using different framewor...
Article
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Zusammenfassung Die deutschsprachige Unterrichtsforschung unterscheidet bereits seit längerem drei Basisdimensionen der Unterrichtsqualität: Effiziente Klassenführung, konstruktive Unterstützung und Potential zur kognitiven Aktivierung. Da die drei Basisdimensionen als fächerübergreifende Konzeptualisierung der Unterrichtsqualität gelten, stellt si...
Chapter
The usage of metacognitive strategies can help students to avoid or to overcome cognitive barriers during modelling processes. For imparting relevant metacognitive strategies and supporting students during the modelling process, it is necessary that teachers act on a meta-meta level and monitor their students’ usage of metacognitive strategies. The...
Chapter
This latest contribution from members of the ICTMA research community focusses on how students, teachers, tertiary educators, and researchers make sense of mathematical modelling and applications educational research and practice. Innovative approaches in modelling educational research and research into and evaluation of teaching practice are showc...
Chapter
Metacognitive competency can be described as a sub-competence of mathematical modelling competence. Although there is consensus about its relevance, until now research on metacognition in modelling processes is very limited. In particular, students’ perspective on metacognitive competencies has not been examined yet. The present study aims at inves...
Article
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(A Survey paper which opens a ZDM Mathematics Education special issue on “Numeracy, learning, and vulnerability in adult life”). This survey paper examines selected issues related to the intersection of three broad scholarly areas: numeracy, adult education, and vulnerability. Numeracy encompasses the ways in which people cope with the mathematical...
Article
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Although research on teachers’ noticing in mathematics education has significantly increased over the last decade, little is known about the relationship between teachers’ noticing and teachers’ knowledge as an influential basis of their professional noticing. This paper examines this relationship based on a study involving 203 in-service Chinese m...
Article
This survey paper examines selected issues related to the intersection of three broad scholarly areas: numeracy, adult education, and vulnerability. Numeracy encompasses the ways in which people cope with the mathematical, quantitative, and statistical demands of adult life, and is viewed as an important outcome of schooling and as a foundational s...
Article
Zusammenfassung. Der in der TEDS-M-Studie (Teacher Education and Development Study: Learning to Teach Mathematics) entwickelte Test zur Erfassung pädagogischen Wissens am Ende der Lehramtsausbildung hat sich in diversen Untersuchungen als zuverlässiges Messinstrument erwiesen, für das eine Reihe von Ergebnissen vorliegt, die die Validität der Testw...
Chapter
The TEDS-Validate project has been carried out within the research program derived from Teacher Education and Development Study: Learning to Teach Mathematics (TEDS-M). In this chapter, we describe the aim of the study, which is related to the question of whether research findings brought forward by measurement instruments to test professional comp...
Article
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In this paper we examine the relationship between teachers’ knowledge, beliefs and instructional practices based on a study with 495 Chinese pre-service mathematics teachers. The results indicate that Chinese pre-service mathematics teachers tend to hold mixed beliefs about the nature of mathematics, and a constructivist view about mathematics teac...
Article
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Most of the research examining the relation between instructional quality (INQUA) and mathematics teachers’ competence was restricted to a limited set of competence facets. Furthermore, mostly variable-oriented approaches were applied that assume homogeneity of teacher competence. In our study, teacher competence is conceptualized as a comprehensiv...
Book
This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematic...
Article
Full-text available
decades. The specification of the types of knowledge that teachers require, the inclusion of affective and motivational aspects and the acknowledgments of the processes that connect these dispositions to the behavior of teachers in the classroom are considered especially important. In particular, teachers’ diagnostic competence has been regarded as...
Article
At least 66 million people globally are experiencing forced displacement and had to flee their homes in order to escape war, persecution, and natural disasters. Countries that have accepted larger refugee populations must address the task of enabling their participation in society. Besides other aspects, numeracy skills are important for all indivi...
Article
Although mentoring has been considered to be important for beginning teachers to situate themselves within the school community, only a few studies on the opportunities of mentoring and possible difficulties from the perceptions of the mentee have been carried out, especially in East Asia. In this paper, a study based on a multiple case approach th...
Article
Der Erfassung von Unterrichtsqualität durch Beobachterratings ist in den letzten Jahren viel Aufmerksamkeit zuteilgeworden. Erste Evidenz liegt dabei auch zu deren Variabilität zwischen mehreren Unterrichtsstunden vor. Inwieweit Beobachterratings jedoch auch während einer Unterrichtsstunde variieren, wurde bisher kaum untersucht. Des Weiteren liege...
Article
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Research that focuses on teacher identity is gaining traction as researchers argue that teachers mediate more than mathematical knowledge and skills in the classroom. This research tends to be underpinned by a social constructionist orientation, which foregrounds epistemology over ontology. This orientation is limiting for research that wishes to u...
Article
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In diesem Beitrag werden Begriffe und Forschungsstand zur Numeralität Erwachsener systematisierend zusammengestellt. Die Befunde und Theorien sind nach ihrem Bezug zum deutschsprachigen Diskurs der Erwachsenenbildung ausgewählt und zugleich in einen historischen Kontext, aber auch in den internationalen Diskurs eingebettet. Viele jüngere Befunde er...
Article
The aim of the research described in this paper was to identify qualitatively different profiles of teachers’ general pedagogical knowledge (GPK) as a central component of their competence. We applied a mixed Rasch model to a sample of 462 mathematics and non-mathematics teachers who were tested using a short version of the TEDS-M test for GPK. The...
Article
As migration is an important social phenomenon, the present study analyzes the influence of migration on migrant students’ performance in mathematics. In a secondary analysis of data from Program for International Student Assessment 2012 (PISA), the mathematics achievements of students from three top-performing East Asian metropolitan areas were ex...
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Open access to this editorial: https://link.springer.com/article/10.1007/s10649-019-09908-4
Chapter
This chapter provides a description of ZDM Mathematics Education, one of the oldest journals in mathematics education. Although ZDM Mathematics Education was founded in Germany, it was oriented internationally since its beginning. The historical development of ZDM Mathematics Education and its characteristics are described, namely the exclusive pub...
Chapter
The chapter offers an overview of different approaches to the professional development of mathematics teachers. Starting point is the expert-novice-approach establishing both a distinction between experts and novices as well as an attempt to characterise expertise. The question of how to conceptualise professional competence of mathematics teachers...
Article
Teacher education and the professional development of teachers has become a prominent topic in recent policy discussions worldwide. However, many educational changes have been carried out without clear reference to the results of empirical studies evaluating the efficiency of teacher education programs. This paper aims to contribute to this discuss...
Conference Paper
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Although migration itself is not a new phenomenon, the rising numbers of refugees in Germany and Europe are influencing the population composition leading to greater diversity within our society. This particularly affects school systems, as a great number of refugees are of school age and have to be provided with adequate schooling. In the paper we...
Book
The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Impo...
Article
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Gender differences in achievement in mathematics, a traditionally male-stereotyped subject, have long been a concern for many educators around the world. Gender differences in mathematical achievement have decreased in recent decades, especially in Western countries, and become small or insignificant in large-scale tests, such as the Programme for...
Article
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The study presented in the paper has the following goals. The first is to review and compare teacher competence frameworks developed in Eastern (Chinese) and Western (German) contexts, exemplified for the domain of mathematics. Major similarities of the two contexts could be reconstructed in the conceptualization of teacher competence as a multidim...
Article
Results are reported from the first wave of the ProfaLe panel study on teacher education at Hamburg University. ProfaLe is part of the Federal "Initiative for Quality Development in Teacher Education" and implemented at the University of Hamburg. Teacher students who study the subjects German, English and mathematics reported their use of opportuni...
Article
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Research on teacher noticing in the field of mathematics education research has increased in the last decade; however, only a few studies have investigated the social and cultural impact on teachers’ noticing. This paper describes results of an international comparative study on (in-service) mathematics teachers’ professional noticing in China and...
Article
General pedagogical knowledge (GPK) and pedagogical content knowledge (PCK) are central cognitive elements in the professional competence of teachers. Thus initial teacher education aims at the acquisition of this relevant knowledge. However, the question how GPK and PCK are related to each other or can be separated from each other has not yet been...
Article
The ability to offer constructive feedback to students concerning their errors is an indispensable requirement for mathematics teachers, for the purpose of providing cognitively challenging learning opportunities. However, if they are to react adequately, teachers need to identify student errors immediately. The fast perception of student errors ca...
Chapter
Der Beitrag führt in knapper Form in zentrale theoretische Ansätze und in wichtige Ergebnisse empirischer Studien zum Lehren und Lernen von mathematischem Modellieren ein, mit einem Schwerpunkt auf dem deutschsprachigen Bereich. Zu Beginn wird anhand eines ausführlichen Beispiels das typische Kreislaufschema des mathematischen Modellierens entwicke...
Article
The teaching and learning of mathematical modelling is an important research field all over the world. In this paper we present a survey of the state-of-the-art on empirical studies in this field. We analyse the development of studies focusing on cognitive aspects of the promotion of modelling, i.e. the promotion of modelling abilities resp. skills...
Article
Instructional research in German-speaking countries has conceptualized teaching quality recently according to three generic dimensions, namely, classroom management, student support and cognitive activation. However, as these dimensions are mainly regarded as generic, subject-specific aspects of mathematics instruction, e.g., the mathematical depth...
Chapter
Teaching practice and its representation by videos are a central part of many empirical studies concerning the field of teaching and learning. In order to analyze how videos can help to investigate aspects of teachers’ expertise, the data from 131 primary mathematics teachers who participated in the TEDS-Follow-Up study were evaluated. The teachers...
Chapter
The project reported in this chapter aimed at assessing and fostering future teachers’ diagnostic competence in teaching and learning situations in which students’ errors occurred. Based on a model of diagnostic processes in error situations a university course and a pre- and post-test were developed. Probabilistic models (such as Item-Response-The...
Chapter
The support of students during their work on complex modelling problems is an ambitious process, especially if the students work as autonomously as possible. Scaffolding as a theoretical construct to describe how teachers should act in these situations, so that students can solve the problem as independently as possible, has proven to be adequate f...
Chapter
This chapter gives an overview on the current state-of-the-art on the teaching and learning of mathematical modelling and applications and its contribution to educational research and practice which is reflected in the various contributions in this book. Several chapter authors use the opportunity to strengthen and build our research practices by r...
Article
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I denne longitudinelle studien ble 131 grunnskolelærere (1. til 4. trinn) fulgt opp fra det siste året i lærerutdanningen og gjennom de fire første årene i lærerjobb. Lærerne tok standardiserte tester i matematikk (matematikkunnskap) og matematikkdidaktikk (matematikkdidaktisk kunnskap) ved slutten av lærerutdanningen i 2008 og en gang til etter fi...
Presentation
Full-text available
Plenary panel for ICTMA - Prof Gabriele Kaiser (Chair); Prof Alan Schoenfeld (USA); Prof Angeles Dominguez (Mexico) ; Prof Mellony Graven (SA); Prof Peter Galbraith (Australia),28th July 2017 Cape Town.
Article
Insbesondere bei längsschnittlichen Evaluationen erscheinen gemischt-methodische Ansätze im Bereich Mixed Methods sinnvoll, da sich die Studien prinzipiell dazu eignen, Evaluationsgegenstände von hohem Komplexitätsgrad zu erfassen, wie es beispielsweise dynamische Veränderungsprozesse in Bildungsstrukturen sind. Der Artikel stellt anhand der längss...
Chapter
The chapter reflects on research trends in international comparative studies in mathematics education based on a short description of the historical development and its most recent discussions. As commentary paper it integrates the chapters in the book into this overall framework in order to discuss possible prospects of international comparative s...
Article
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Recent research on the professional competencies of mathematics teachers, which has been carried out during the last decade, is characterized by different theoretical approaches on the conceptualization and evaluation of teachers’ professional competencies, namely cognitive versus situated approaches. Building on the international IEA Teacher Educa...