| 1. |
- Ryve, Andreas, et al.
(författare)
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Kartläggning av forskning om formativ bedömning, klassrumsundervisning och läromedel i matematik : Delrapport från skolforsk-projektet
- 2015
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- The current project focuses on mathematics education, and is partitioned into three subprojects mapping research on formative assessment, classroom teaching, and curriculum programs in mathematics. The rationale for focusing on these three areas is that they are all highly relevant for understanding and improving Swedish mathematics education and students’ knowing of mathematics. Therefore, the aim of the project is to map research on formative assessment, classroom teaching, and curriculum programs in mathematics education.The methodology of the literature review has been inspired by Gough, Oliver, and Thomas (2013), and we have focused on the mapping on journal articles published on Web of Science (WoS).The results from the sample of articles on formative assessment show that strategies of formative assessment in mathematics are positively correlated to students’ performance in mathematics with medium and large effect sizes. However, based on the current mapping it is difficult to specify aspects of how the formative strategies are to be implemented in order to promote students’ knowing of mathematics.Despite the change in perspective of what constitutes knowledge in mathematics to also include reasoning, problem-solving and communication, the map shows that research is mainly focused on examining teaching methods and their effects on students’ skills in mathematics. A closer examination of the studies that do focus on teaching for supporting students in developing competencies like reasoning and problem-solving shows that connections between and comparison of students’ solutions, as well as teachers’ ways of asking questions to support students in explaining their solutions clearly and in detail, are important for students’ learning of these competencies.A central finding stemming from this review of curriculum programs is the complexity involved in how the programs can support teachers in establishing classroom practices. Curriculum resources and teacher resources, as well as other influencing factors, impact the quality of instruction, and studies have begun to point out how curriculum resources and teacher resources uniquely and jointly impact classroom practices. Multiple research articles have expressed the need for teacher support in implementing curriculum programs, by means of professional development, teacher education and support provided by the curriculum programs themselves. Interesting in this regard is the state of the research field concerning the design of educative curriculum programs, and how teachers make use of such support. Studies have proposed design approaches, regarding both the actual development of educative curriculum programs as well as how to use them in teacher education to support prospective teachers’ development of knowledge. Further, although research has revealed that it is important to prepare for teaching in certain ways, we found very little research that explicitly analyzed how teachers actually prepare for teaching a mathematics lesson.Limitations of the project include: (1) the lack of searching in potentially relevant databases, (2) the fact that a relatively small proportion of articles found in the search have been coded, (3) that we have not engaged in deep considerations as to whether and in what ways results from international research are relevant in the Swedish context, and (4) that we therefore have not been able to synthesize the results of the study. In relation to the Swedish context (Hemmi & Ryve, 2014; Boesen et al., 2014), international research (Hattie, 2009; Smith & Stein, 2011), and the current project’s findings, we recommend that Skolforskningsinstitutet focus on two aspects of great importance for developing students’ knowing of mathematics. First, Skolforskningsinstitutet should synthesize research that supports actors, such as teachers and principals, in acting within school practices. In the case of teachers, support is needed to engage them in actively anticipating students’ thinking, using curriculum programs effectively, introducing mathematical content, acting in group work, formatively assessing students’ learning, and orchestrating whole-class mathematical discussions. Secondly, actors within school practices need support not only in initiating and implementing developments but also in institutionalizing such developments. Skolforskningsinstitutet should specify the kind of support needed in order to ensure that material, routines, competences, and organizations become integral and permanent features of Swedish school practice.
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| 2. |
- Blomberg, Per
(författare)
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Informell Statistisk Inferens i modelleringssituationer : En studie om utveckling av ett ramverk för att analysera hur elever uttrycker inferenser
- 2015
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Licentiatavhandling (övrigt vetenskapligt/konstnärligt)abstract
- Syftet med denna studie är att bidra med ökad kunskap om lärande och undervisning i informell statistisk inferens. I studien användes en kvalitativ forskningsstrategi inriktad mot prövning och generering av teorier med inspiration av grounded theory. Studiens kunskapsfokus är riktad mot karakterisering av statistiska processer och begrepp där system av begreppsramverk om informell statistisk inferens och modellering utgör en central del av forskningen. För att erhålla adekvat empiri utformades en undervisningssituation där elever engagerades med att planera och genomföra en undersökning. Studien genomfördes i en normal klassrumssituation där undervisningen inriktades mot ett område inom sannolikhet och statistisk där bland annat lådagram och normalfördelning med tillhörande begrepp introduceras. Det empiriska materialet samlades in genom videoinspelning och skriftliga redovisningar. Materialet analyserades genom ett sammansatt ramverk om informell statistisk inferens och modellering. Resultatet av analysen visar exempel på hur elever kan förväntas uttrycka aspekter av informella statistisk inferens då de genomför statistiska undersökningar. Vidare utvecklades ett ramverk som teoretiskt beskriver informell statistisk inferens i modelleringssituationer. Studien pekar på att ISI-modellering har potential att användas för att analysera hur informell statistisk inferens kan komma till uttryck och att identifiera potentiella inlärningsmöjligheter för studenter att utveckla sin förmåga att uttrycka informella statistisk slutledning och att identifiera potentiella inlärningsmöjligheter för elever att utveckla sin förmåga att uttrycka informella inferenser.
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| 3. |
- Brehmer, Daniel, 1973-
(författare)
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Problem solving in mathematics textbooks
- 2015
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Licentiatavhandling (övrigt vetenskapligt/konstnärligt)abstract
- The aim of this study is to analyse how mathematical problem solving (MPS) is represented in mathematical textbooks for Swedish upper secondary school. The analysis comprises dominating Swedish textbook series, and relates to uncovering a) the quantity of tasks that are actually mathematical problems (MPs), b) their location in the chapter, c) their difficulty level, and d) their context. Based on an analysis of 5,722 tasks from the area of calculus, it is concluded that the textbooks themselves contain very few tasks that can be defined as MPs, and that those that are MPs are found at the end of a chapter at the most difficult level, and are presented in a pure mathematical context. Implications are discussed.
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| 4. |
- Brehmer, Daniel, 1973-, et al.
(författare)
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Problem solving in Swedish mathematics textbooks for upper secondary school
- 2016
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Ingår i: Scandinavian Journal of Educational Research. - : Informa UK Limited. - 0031-3831 .- 1470-1170. ; 60:6, s. 577-593
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Tidskriftsartikel (refereegranskat)abstract
- The aim of this study is to analyse how mathematical problem solving is represented in mathematical textbooks for Swedish upper secondary school. The analysis comprises dominating Swedish textbook series, and relates to uncovering (a) the quantity of tasks that are actually mathematical problems, (b) their location in the chapter, (c) their difficulty level, and (d) their context. Based on an analysis of 5,722 tasks from the area of calculus, it is concluded that the textbooks themselves contain very few tasks that can be defined as mathematical problems, and that those that are mathematical problems are found at the end of a chapter at the most difficult level, and are presented in a pure mathematical context. Implications are discussed.
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| 5. |
- Brehmer, Daniel, 1973-
(författare)
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Support for mathematics teachers’ change : Examining catalysts for teacher learning and role of the teacher in professional development programmes
- 2019
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- When the perception changes regarding what mathematics students should be able to manage, this is typically addressed through a new national curriculum. To establish and implement this new curriculum in practice, teachers must be given the opportunity to change according to it. For such change, they need support in interpreting and implementing the new curriculum. Typically, there are two common ways to support teacher change: (1) developing and launching curriculum materials that correspond to the national curriculum; and (2) implementing professional development programmes (PDPs) that correspond to the new national curriculum. This thesis includes both aspects and aims to contribute to research on support for mathematics teachers’ change. This aim is operationalized by: (1) studying mathematics textbooks in which tasks and plausible teaching intentions are analysed; (2) studying teacher agency in collegial discussions in relation to the design of a PDP; and (3) mapping and describing catalysts for teacher learning from PDPs in research literature. These studies resulted in five papers, which are included in this thesis. The main results of the papers cover: the distribution of types of tasks in Swedish mathematics textbooks; the type of learning approach advocated in these textbooks; how different types of texts in PDPs relate to teacher agency in collegial discussions; and an identification and description of catalysts for teacher learning from PDPs for mathematics teachers. In the kappa1 of this thesis, these results are merged and discussed in relation to different models of teacher change. The focus in the kappa is on examining catalysts for teacher learning from such initiatives and the role of the teacher in PDPs. This examination suggests elaborations on parts of a conceptual framework for effective PDPs (Desimone, 2009). More precisely, the elaborations concern core critical features for effective PDPs, presented in this framework: Content Focus, Active Learning, Collective Participation, Duration, and Coherence. The main contributions of this thesis concern: a tool for analysing tasks in textbooks with respect to problem-solving tasks; an organizing frame for mapping learning catalysts from articles describing PDPs; a description of catalysts for teacher learning from PDPs as specifications of core critical features for effective PDPs; and the role of the teacher in PDPs as a catalyst for learning. Implications and suggestions for future research are discussed.___________________________1The Swedish term kappa will be used in this thesis in the absence of an equivalent English term for the introductory chapters of an aggregation dissertation
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| 6. |
- Brehmer, Daniel, 1973-, et al.
(författare)
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Towards an organizing frame for mapping teachers' learning in professional development
- 2018
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Ingår i: Nordic Research in Mathematics Education. - Göteborg. - 9789198402414 ; , s. 229-237
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Konferensbidrag (refereegranskat)abstract
- In their claim that teachers’ learning is treated as a “black box” in research onprofessional development programs for mathematics teachers, Goldsmith, Doerr,& Lewis (2014) call for “an organizing framework that clearly distinguishesdimensions of teachers’ learning and identifies catalysts of teachers’ learning…”(p. 23). The aim of this study is to present initial efforts to construct a frameworkfor categorizing descriptions of activities designed to support teachers’ learningas presented in research articles within mathematics education. Based on existingliterature on professional development and examination of research articles, anorganizing frame is constructed.
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| 7. |
- Eriksson, Kimmo, 1967-, et al.
(författare)
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Using TIMSS items to evaluate the effectiveness of different instructional practices
- 2019
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Ingår i: Instructional Science. - : Springer Science and Business Media LLC. - 0020-4277 .- 1573-1952. ; 47:1, s. 1-18
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Tidskriftsartikel (refereegranskat)abstract
- Can instructional quality be measured using TIMSS items on how often certain instructional practices are used in the mathematics classroom? We focused on three instructional practices that have been the topics of longstanding debates in the educational literature: memorizing formulas, listening to the teacher, and relating mathematics to daily life. In a multi-level multiple regression analysis, we examined how class-level responses to these items predicted mathematics achievement. In Sweden, across four waves of TIMSS, relating to daily life was a negative predictor of achievement, whereas memorizing formulas and listening to the teacher were positive predictors. This was also the typical pattern of results across all countries participating in two waves of the international TIMSS. Our findings are in line with certain positions on the abovementioned debates. Although conclusions are limited by the correlational nature of the data, we argue that TIMSS is a promising tool for evaluating the effectiveness of different instructional practices. We also suggest several improvements.
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| 8. |
- Erixon, Eva-Lena, 1968-
(författare)
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Matematiklärares kompetensutveckling online : policy, diskurs och meningsskapande
- 2017
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- Different forms of professional development online are becoming increasingly common for teachers and the aim of the thesis is to contribute knowledge about online professional development for mathematics teachers and the relationship between professional development, educational policy, and mathematics teaching practice. In the thesis, professional development refers to organized professional development in terms of university courses.The thesis consists of four studies, each of which has been presented in the form of an article. The four studies together explore transnational and national policy discourses, meaning-making activities that can be distinguished in online professional development, discourses pertaining to mathematics teaching in the classroom and in the subsequent seminar discussions in the course, and teachers’ experience of professional development online. The different arenas have been explored using the concept of discourse with reference to Fairclough, Gee, and Sfard. The term ”discourse” refers primarily to communication and language in use.The result of the studies indicates that the participants have not been offered enough opportunities to reflect on how or whether the use of several concepts and everyday life connections really deepened the students’ understanding of the mathematical content. Moreover, the analysis of the interviews with the participants shows that it was difficult for them to deepen their reflections in the synchronous communication online. There is a lack of reciprocal participation and reflection in the conversation and it is hard for the participants to get an idea of how the others respond to their messages. When a participant has completed his or her message the next speaker continues with a new message and as a result, the communication often takes a new direction instead of allowing in-depth reflection.
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| 9. |
- Gustafsson, Patrik, 1974-
(författare)
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Frameworks for task design and technology integration in the mathematics classroom
- 2016
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Licentiatavhandling (övrigt vetenskapligt/konstnärligt)abstract
- In recent years many teachers and students have begun having good access to digital technology in their classrooms, and in the context of Sweden the majority of secondary schools are known as one-to-one schools, with students having their own computer or tablet. However, the mere presence of technology in the classroom is not a guarantee for improved teaching and learning. In fact, there is a challenge involved with integrating technology in the classroom and many teachers need support. Therefore, the aim of this thesis is to contribute to the knowledge about support for teachers integrating digital technology, especially a classroom response system (CRS), in the mathematics classroom. This is done by focusing on frameworks for CRS task design and technology integration. The thesis consists of two papers and a kappa. Both papers use data from a design research project including interventions in two cases. Paper I focuses on the development of design principles and task types for CRS tasks in a multiple-choice format aiming to engineer mathematical classroom discussions. The study generated three design principles, six task types, and 31 empirically evaluated tasks. The empirical evaluation shows that teachers consider the evaluated CRS tasks useful for engineering mathematical classroom discussions. Paper II focuses on exploring the potential of Ruthven’s (2009) SFCP framework as tool for analyzing empirical data in order to conceptualize and analyze teachers’ reasoning about critical aspects of technology integration in the mathematics classroom. The results show that the SFCP framework can be useful for capturing teachers’ reasoning about critical aspects of technology integration, but also that the framework does not capture teachers’ reasoning about students’ attitudes and behaviors. Therefore, the framework would benefit from taking into consideration students’ attitudes and behaviors, as these features are a challenge teachers need to deal with when integrating technology in the classroom. This thesis kappa, building on earlier research as well as the results and methods of its own papers, ends with an elaborated discussion on the challenges and support for teachers wanting to integrate CRS in their mathematics classroom.
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| 10. |
- Hemmi, Kirsti, 1957-, et al.
(författare)
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Effective mathematics teaching in Finnish and Swedish teacher education discourses
- 2015
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Ingår i: Journal of Mathematics Teacher Education. - : Springer Science and Business Media LLC. - 1386-4416 .- 1573-1820. ; 18, s. 501-521
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Tidskriftsartikel (refereegranskat)abstract
- This article explores effective mathematics teaching as constructed in Finnish and Swedish teacher educators’ discourses. Based on interview data from teacher educators as well as data from feedback discussions between teacher educators and prospective teachers in Sweden and Finland, the analysis shows that several aspects of the recent international reform movements are visible in the discourses in both countries. However, the Swedish teacher educators tend to conceptualize effective teaching as interactions with individual children, building on students’ ideas and emanating mathematics from everyday situations, while the Finnish teacher educators stress the importance of a clear presentation of mathematics, routines and homework as well as specific goals for every lesson. The results of this cross-cultural study cannot be generalized to the two countries but rather show interesting conceptualizations of effective teaching, adding to international theory-building.
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