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  • 1.
    Andersson, Catarina
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Boström, Erika
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Formative assessment in Swedish mathematics classroom practice2017Inngår i: Nordisk matematikkdidaktikk, ISSN 1104-2176, Vol. 22, nr 1, 5-20 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Research shows that substantial learning gains are possible through the use of formative assessment. However, little is known about Swedish mathematics teachers’ use of formative assessment, and thus about the possible value of professional development programmes. This study uses teacher interviews and classroom observations to examine the classroom practice of 38 randomly selected primary and secondary school teachers in a mid-sized Swedish municipality. A framework of formative assessment comprising one big idea and five Key strategies structured the analysis. The study identifies characteristics of current formative assessment practices. The results show that the teachers do use a variety of formative assessment activities, but also that there is much room for development towards a more effective formative classroom practice. 

  • 2.
    Andersson, Catarina
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    The impact of formative assessment on student achievement: a study of the effects of changes in classroom practice after a comprehensive professional development programme2017Inngår i: Learning and instruction, ISSN 0959-4752, E-ISSN 1873-3263, Vol. 49, 92-102 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    A random sample of 22 Year 4 teachers in mathematics from a middle-sized Swedish municipality participated in a teacher professional development programme in formative assessment. The content ofthe programme was formative assessment conceptualised as a unity of different, integrated strategies.The study examines the effects on student achievement of the changes in the teachers’ formative classroom practice that followed the professional development input. Results show that, after controlling for pretest scores, the classes in the intervention group significantly out performed the classes in thecontrol group in a posttest administered one school year after the end of the programme (p = 0.036, d = 0.66). The study contributes to the understanding of under-studied areas of the impact of professional development in formative assessment, and the impact of teacher practice based on formative assessment conceptualised as a unity of different formative assessment strategies.

  • 3.
    Andersson, Catarina
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Vingsle, Charlotta
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    The impact of a teacher professional development program in formative assessment on teachers’ practice2013Konferansepaper (Fagfellevurdert)
  • 4.
    Angervall, Petra
    et al.
    Inst. i pedagogik och specialpedagogik, Göteborgs universitet.
    Gustafsson, Jan
    Inst. i pedagogik och specialpedagogik, Göteborgs universitet.
    Silfver, Eva
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Policy and governance in academic networks2011Konferansepaper (Fagfellevurdert)
  • 5.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    De nationella proven som en arena för likvärdighetsfrågor2015Inngår i: Specialpedagogisk tidskrift, nr 3, 4-6 s.Artikkel i tidsskrift (Annet (populærvitenskap, debatt, mm))
  • 6.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Den flerspråkiga elevens nationella provdeltagande i matematik: diskursiva förutsättningar2017Inngår i: Utbildning och Demokrati, ISSN 1102-6472, E-ISSN 2001-7316, Vol. 26, nr 2, 95-111 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Multilingual students’ participation in national tests in mathematics – discursive prerequisites. This article explores discursive prerequisites in test-taking for second language learners with other mother tongues than Swedish. Four students were interviewed in 2016 during their final year of compulsory school. The results imply that multilingual students are positioned as disadvantaged within testing. This phenomenon is mainly situated in a competitive discourse with several subordinated discourses that further position the students: A discourse of justice positioned the students as being sorted or left behind, a discourse of handling the assessment positioned the students as caretakers and a discourse of future challenges positioned the students as struggling while learning, being capable to learn or facing positive challenges. The results imply that national testing is a personal and relational experience and gives rise to issues of legitimacy and equality. These issues should be considered in policy-making, the construction and the carrying out of tests as well as in the conclusions which are based on the results on individual, group and organisational levels.

  • 7.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Möjligheter till stöd och tillgång till lärande i matematik2015Annet (Annet (populærvitenskap, debatt, mm))
  • 8.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Pressure at stake: Swedish third graders' talk about national tests in mathematics2016Inngår i: Nordisk matematikkdidaktikk, ISSN 1104-2176, Vol. 21, nr 1, 47-69 s.Artikkel i tidsskrift (Fagfellevurdert)
  • 9.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Pressures and positions of need during the Swedish third-grade National Test in Mathematics2015Inngår i: Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education / [ed] Konrad Krainer, Naďa Vondrová, Prague: Charles University , 2015, 1558-1563 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    This paper presents and discusses parts of a large-scale [1] ethnographical and longitudinal study that has followed the process of implementing the National Test in Mathematics for third graders (Ntm3) in Sweden during its first three years (2010, 2011, and 2012). Pupil talk from 2011 about pressure and what is at stake was used to construe three positions of need that might characterize pupils during the National Test in Mathematics in their third school year: the position of shame, the position of unfamiliarity, and the position of stress. How these might be handled in educational practices is discussed briefly.

  • 10.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Prövningen av en skola för alla: nationella provet i matematik i det tredje skolåret2015Doktoravhandling, med artikler (Annet vitenskapelig)
    Abstract [en]

    This thesis presents the contribution to research that my doctoral education led to. My starting point was a large scale qualitative research project (here after called the VR-project) which reviewed the implementation of national tests in the third grade on the subject of mathematics. The VR-project investigated how the test affected the pupils with a special focus on pupils in need of special support. An urge to look further into issues concerning the support, the pupil in need and the test was revealed in he initial VR-project. These issues therefore constitutes the problem area of this thesis. The VR-project studied a total of 22 classrooms in two different municipalities' during 2010- 2012. The methodology used for this project was inspired by ethnography and discourse analysis. The raw data consisted of test instructions, video observations of the actual test subjects, interviews from teachers and pupils about the test, the support that was given throughout the testing as well as the observations and interviews of the pupils requiring special assistance. Activated discourses and positions of the participants were demarcated. The results revealed that a traditional testing discourse, a caring discourse and a competitive discourse are activated during the tests. The testing discourse is stable and traditional. Much of what was shown and said in classrooms, routines and rules regarding the test were repeated in all the schools and in all the classrooms. The discourse on support is affected by ambiguity, which is revealed especially when issues of pupils’ equity is put against the tests equality. This is connected to the teachers restricted agency to give support due to the teacher position as a test taker. The positions in need that are available to students are not the same in pupils, teachers and steering documents. The situation is especially troublesome for pupils that do not manage Swedish good enough to take the test and for pupils in need of special support. Some of the conclusions from this thesis is that the national test format: Disciplines not only the pupil, but also the teacher, the classroom and the school at large. Results indicate that the test:

    Activates a focus on achievementLeads attention away from learning Activates issues of accountability Influences pupils and teachers with stakes involved

    Besides evaluating knowledge, the test disciplines not only the pupil, but also the teacher, the classroom and the school at large. Discussing the national test as an arena for equity might be a way towards attaining equality in education for all pupils.

  • 11.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Quality and equity in the era of national testing: the case of Sweden2017Inngår i: World yearbook of education 2017: assessment inequalities / [ed] Julie Allan, Alfredo J. Artiles, Oxon: Routledge, 2017, 68-88 s.Kapittel i bok, del av antologi (Fagfellevurdert)
  • 12.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Student Equity vs Test Equality?: support during third graders' national tests in mathematics in Sweden2016Inngår i: Cursiv [publisher: Institut for Didaktik, Danmarks Pædagogiske Universitetsskole, Aarhus Universitet, DK], ISSN 1901-8878, E-ISSN 1901-8886, nr 18, 123-139 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    This article throws light on the educational practice of teachers providing additional support to students during tests, more specifically during the national tests in mathematics for third graders in Sweden (hereafter called Ntm3) for the years 2010 and 2011. Both the test instructions and teacher talk related to these tests were taken into consideration. The results suggest that issues of equity and teachers’ agency arise when considering support. The dual purpose of the test, to evaluate the student and to evaluate the education, positions the teacher as both a test-giver and a test-taker and influences the discourse on support by ambiguity. I found that in such circumstances, when students´ equity comes into conflict with the test´s equality, the focus during the tests shifts from attention to learning to attention to controlling.

  • 13.
    Bagger, Anette
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    The discourse regarding the multilingual student in need of support in test- instructions2017Inngår i: ICT in mathematics education: the future and the realities, Göteborg: Nationellt centrum för matematikutbildning (NCM), 2017, Vol. 11, 151- s.Konferansepaper (Fagfellevurdert)
  • 14.
    Bagger, Anette
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Nyroos, Mikaela
    Umeå universitet, Samhällsvetenskapliga fakulteten, Pedagogiska institutionen. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Performance, anxiety and the mathematical self image2014Inngår i: Special Needs Education in Mathematics: New Trends, Problems and Possibilities / [ed] Anne Berit Fuglestad, Kristiansand: Portal forlag, 2014, 86-91 s.Kapittel i bok, del av antologi (Fagfellevurdert)
    Abstract [en]

    In present pilot study the relation between mathematical performance, test anxiety and mathematical self image is being examined in two Swedish grade 3 pupils. A difference between the high achieving and the low achieving pupils is possible to discern. A negative or uncertain mathematical self image seems to be connected to test anxiety, but not to performance when we look at these two young pupils. The experience of taking the test is affecting the high and low achiever differently. There are indications that the context and the kind of information given about the tests and the pupil's abilities affect both the level of test anxiety and the pupil’s evolving mathematical self image. Educational implications are being discussed.

  • 15.
    Bagger, Anette
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Roos, Helena
    Linnéuniversitetet.
    How Research Conceptualises the Student in Need of Special Education in Mathematics2015Inngår i: Development of Mathematics Teaching: Design, Scale, Effects. Proceeding of MADIF 9. The Ninth Swedish Mathematics Education Research Seminar Umeå February 4-5, 2014 / [ed] O. Helenius, A. Engström, T. Meaney, P. Nilsson, E. Norén, J. Sayers, M. Österholm, Linköping: Svensk förening för MatematikDidaktisk Forskning - SMDF, 2015, 27-36 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    The focus of this paper is the conceptualisation of students in special educationalneeds in mathematics (SEM students) in the research fields of mathematics andspecial education. A difference between fields regarding the perspectives takenon the SEM student is obvious in the reviewed articles. Those in the specialeducational field were individual oriented in their view of the difficulties, whilstreviewed articles from the field of mathematics education more often discusssocio-cultural settings. The content in the selected 28 articles reveals that theoverall conceptualisation of SEM student has to do with the social construct ofthe SEM student, as well as with students’ experiences, affects, andprerequisites; with the specific training methods or interventions applied; withspecial areas in the subject of mathematics; with special groups of students; andwith teachers’ knowledge about all these factors.

  • 16.
    Bartolini Bussi, M G
    et al.
    Universita' di Modena e Reggio Emilia, Modena, Itlay.
    Gade, Sharada
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Janvier, M
    Kahane, J-P
    Matsko, V
    Maschietto, M
    Ouvrier-Buffet, C
    Saul, M
    Mathematics in context: focusing on students2009Inngår i: Challenging Mathematics In and Beyond the Classroom – The 16th ICMI Study / [ed] E. J. Barbeau and P. J. Taylor, New York: Springer Science+Business Media B.V., 2009, 171-203 s.Kapittel i bok, del av antologi (Fagfellevurdert)
    Abstract [en]

    This chapter presents nine case studies in which school students engage in challenging mathematics outside their immediate classroom environment. In each case, students are encouraged to collaborate in investigations that go beyond the standard curriculum and creatively use the ingredients of the particular context. In Italy, students visit a mathematical laboratory to understand and utilize mathematical machines. Morning assembly at an Indian school brings students from many classes together in the solution of mathematical problems. Four of the projects are from France: students analyze the configuration of a heap of sand, pursue astronomical investigations with software, obtain a flavor of research by having secondary school teams investigate interesting problems, and are presented at all levels with open-ended research problems. There are three programs from the United States, the first, an advanced geometry sequence for secondary students completing the regular syllabus early, the second, activities arising from exhibits in an art museum, and the third, using the school lawn to deepen student understanding of geometric constructions. All such activities need to be evaluated for their effectiveness, so that they move from just being initiatives of dynamic individuals to serve as the foundation for systemic improvements in the way in which students learn, understand and use mathematics. In the early part of this chapter, we briefly mention how research into such activities might be approached.

  • 17.
    Bergqvist, Ewa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    A verbal factor in the PISA 2003 mathematics items: Tentative analyses2009Inngår i: Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education: In Search for Theories in Mathematics Education, Thessaloniki, Greece: PME , 2009, 145-152 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    This study uses a statistical method to identify verbal items among mathematical items from PISA 2003. The verbal items are preliminary analysed and compared to the non-verbal items concerning number of text lines, response types, cognitive level, and competences measured. The results show that the verbal items, to a higher percentage than the non-verbal items, measures the reproduction competency, are straigh­t­forward, and of open constructed-response type. These results and proposed further analyses are discussed.

  • 18.
    Bergqvist, Ewa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Non-uniqueness of positive currents describing polynomial convexityManuskript (preprint) (Annet vitenskapelig)
  • 19.
    Bergqvist, Ewa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    University mathematics teachers' views on the required reasoning in calculus exams2012Inngår i: The Montana Mathematics Enthusiast, ISSN 1551-3440, E-ISSN 1551-3440, Vol. 9, nr 3, 371-408 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Students often use imitative reasoning, i.e. copy algorithms or recall facts, when solving mathematical tasks. Research show that this type of imitative reasoning might weaken the students' understanding of the underlying mathematical concepts. In a previous study, the author classified tasks from 16 final exams from introductory calculus courses at Swedish universities. The results showed that it was possible to pass 15 of the exams, and solve most of the tasks, using imitative reasoning. This study examines the teachers' views on the reasoning that students are expected to perform during their own and others mathematics exams. The results indicate that the exams demand mostly imitative reasoning since the teachers think that the exams otherwise would be too difficult and lead to too low passing rates.

  • 20.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    The role of the formal written curriculum in standards-based reform2017Inngår i: Journal of Curriculum Studies, ISSN 0022-0272, E-ISSN 1366-5839, Vol. 49, nr 2, 149-168 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    More than 15 years after the introduction of a standards-based curriculum reform, the mathematics teachers are positive towards the reform message but have not changed their classroom practice accordingly. To improve the impact of future reforms, it is important to learn from this situation and to better understand the role of the national policy documents. The purpose of this study is therefore to examine how the standards-based reform in mathematics in Sweden was conveyed in the formal written curriculum. The research questions focus on to what extent and how clearly the national policy documents convey the message. The results show that the message is present to a large extent in the policy documents, but that it is vague and formulated with complex wording. The study gives concrete examples and shows in detail in what ways the documents are vague and complex.

  • 21.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap, Interaktiva medier och lärande (IML).
    Boesen, Jesper
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Helenius, Ola
    Örebro universitet.
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Palmberg, Björn
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Matematikutbildningens mål och undervisningens ändamålsenlighet: grundskolan våren 20092009Rapport (Annet vitenskapelig)
  • 22.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap, Interaktiva medier och lärande (IML).
    Boesen, Jesper
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Helenius, Ola
    Örebro universitet.
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Palmberg, Björn
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Matematikutbildningens mål och undervisningens ändamålsenlighet: gymnasiet hösten 20092010Rapport (Annet vitenskapelig)
  • 23.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Dyrvold, Anneli
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Österholm, Magnus
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Relating vocabulary in mathematical tasks to aspects of reading and solving2012Inngår i: Evaluation and comparison of mathematical achievement: Dimensions and perspectives. Proceedings of MADIF 8, The Eighth Mathematics Education Research Seminar, Umeå, January 24-25, 2012 / [ed] Christer Bergsten, Eva Jablonka & Manya Raman, Linköping: SMDF , 2012, 61-70 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    This paper focuses on relationships between vocabulary in mathematical tasks and aspects of reading and solving these tasks. The paper contains a framework that highlights a number of different aspects of word difficulty as well as many issues to consider when planning and implementing empirical studies concerning vocabulary in tasks, where the aspect of common/uncommon words is one important part. The paper also presents an empirical method where corpora are used to investigate issues of vocabulary in mathematical tasks. The results from the empirical study show that there are connections between different types of vocabulary and task difficulty, but that they seem to be mainly an effect of the total number of words in a task.

  • 24.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Samhällsvetenskapliga fakulteten, Beteendevetenskapliga mätningar. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Lind, Anna
    Umeå universitet, Samhällsvetenskapliga fakulteten, Beteendevetenskapliga mätningar. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Är det svårare att dela med fyra än med två när man läser matte C?: En jämförelse av svårighetsgrad mellan olika versioner av matematikuppgifter i Nationella kursprov2005Rapport (Annet vitenskapelig)
    Abstract [sv]

    Våren 2004 infördes på försök två olika versioner av de nationella kursproven i matematik på kurserna B, C och D. På varje kurs skilde sig de båda versionerna åt i några av de ingående uppgifterna, medan övriga uppgifter var identiska. Syftet med denna studie är att undersöka om, hur och varför dessa förändringar i matematikuppgifterna påverkar uppgifternas svårighetsgrad.

    Resultaten visar att en förändring av de i uppgifterna ingående talen endast i ett fåtal fall påverkat uppgifternas svårighetsgrad i någon större utsträckning. Dessa fåtal fall studeras vart och ett för sig. När två uppgifters sammanhang och formulering skiljer sig åt, även om det matematiska innehållet är i stort sett identiskt, visar ett exempel på att skillnaden i svårighetsgrad kan vara mycket stor.

  • 25.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Theens, Frithjof
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Österholm, Magnus
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Relations between linguistic features and difficulty of PISA tasks in different languages2016Inngår i: Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education / [ed] Csíkos, C., Rausch, A., & Szitányi, J., Szeged, Hungary: PME , 2016, Vol. 1, 125-125 s.Konferansepaper (Fagfellevurdert)
  • 26.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Österholm, Magnus
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    A theoretical model of the connection between the process of reading and the process of solving mathematical tasks2010Inngår i: Mathematics and mathematics education: Cultural and social dimensions. Proceedings of MADIF 7 / [ed] C. Bergsten, E. Jablonka & T. Wedege, Linköping, Sweden: Svensk förening för matematikdidaktisk forskning, SMDF , 2010, 47-57 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    In this paper we suggest a theoretical model of the connection between the process of reading and the process of solving mathematical tasks. The model takes into consideration different types of previous research about the relationship between reading and solving mathematical tasks, including research about traits of mathematical tasks (a linguistic perspective), about the reading process (a psychological perspective), and about behavior and reasoning when solving tasks (a mathematics education perspective). In contrast to other models, our model is not linear but cyclic, and considers behavior such as re-reading the task.

  • 27.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Österholm, Magnus
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Monash University, Australia.
    Communicating mathematics or mathematical communication?: An analysis of competence frameworks2012Inngår i: Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education: Vol. 2: opportunities to learn in mathematics education / [ed] Tai-Yih Tso, 2012, 67-74 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    In this study we analyse the communication competence included in two different frameworks of mathematical knowledge. The main purpose is to find out if mathematical communication is primarily described as communication of or about mathematics or if it is (also) described as a special type of communication. The results show that aspects of mathematics are mostly included as the content of communication in the frameworks but the use of different forms of representation is highlighted both in the frameworks and also in prior research as a potential cause for characterising mathematical communication differently than "ordinary" communication.

  • 28.
    Bergqvist, Ewa
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Österholm, Magnus
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Språkbrukets roll i matematikundervisningen2014Inngår i: Nämnaren : tidskrift för matematikundervisning, ISSN 0348-2723, Vol. 2014, nr 1, 27-31 s.Artikkel i tidsskrift (Annet (populærvitenskap, debatt, mm))
    Abstract [sv]

    Det språk vi använder oss av i matematikklassrummet kan fokuseras på många olika sätt. Språket är också nödvändigt att förhålla sig till vid utvecklingen av sitt matematiska tänkande. Författarna diskuterar här relationer mellan språk och lärande.

  • 29.
    Bergqvist, Tomas
    Umeå universitet, Fakultet för lärarutbildning, Interaktiva medier och lärande. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    How teachers verify conjectures: teachers' expectations2005Inngår i: Journal of Mathematics Teacher Education, ISSN 1386-4416, E-ISSN 1573-1820, Vol. 8, nr 2, 171-191 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Eight teachers were interviewed concerning how students verify conjectures. The study is a sequel to a previous study, “How Students Verify Conjectures” [Bergqvist, T. (2000). How students verify conjectures. Research reports in Mathematics Education 3]. Teachers’ expectations of students’ reasoning and performance are examined, and also how they wish students would work. The results indicate that the teachers tend to underestimate the students’ reasoning levels and that they believe that only a small group of students in each class can use higher level reasoning in mathematics.

  • 30.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap, Interaktiva medier och lärande (IML).
    Podcasting mathematics2013Inngår i: The International Journal for Technology in Mathematics Education, ISSN 1744-2710, E-ISSN 2045-2519, Vol. 20, nr 4, 147-155 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    In this study podcasts, i.e. short video clips, were analysed to ascertain how mathematical competencies were addressed. We analysed how the mathematical content was presented in the podcasts, and then how these characterizations related to eight students’ interest to learn mathematics. The mathematical presentations was analysed using the Mathematical Competencies Research Framework (Lithner et al., 2010). The results indicate that podcasts that address several mathematical competencies receive overall higher grades by the students in the study.

  • 31.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Problem solving in mathematics education: learning problem solving and learning through problem solving2012Konferanseproceedings (Fagfellevurdert)
    Abstract [en]

    Proceedings from the 13th ProMath conference, September 2 – 4, 2011, in Umeå, Sweden.

  • 32.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Problemlösning i Nämnaren under 2000-talet2014Inngår i: NTema 10: Matematik – undervisning i praktiken / [ed] Karin Wallby, Ulrika Dahlberg, Ola Helenius, Johan Häggström och Anders Wallby, Göteborg: Nationellt centrum för matematikutbildning (NCM), 2014, 270-275 s.Kapittel i bok, del av antologi (Annet (populærvitenskap, debatt, mm))
    Abstract [sv]

    Med utgångspunkt i ett stort antal artiklar om problemlösning i de 15 senaste årens Nämnaren diskuteras i artikeln några intressanta problem och problemlösningens roll i skolans matematikundervisning.

  • 33.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    WHAT MATHEMATICAL COMPETENCES CAN BE LEARNED FROM WEB-BASED LEARNING RESOURCES?2013Inngår i: Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education, vol 5. / [ed] Anke M. Lindmeier, Aiso Heinze, Kiel: The International Group for the Psychology of Mathematics Education (PME) , 2013, 21-21 s.Konferansepaper (Annet vitenskapelig)
    Abstract [en]

    Two web-based learning resoruces were analysed using the MCRF research framework. The aim was to identify opportunities to develop mathematical competencies. The findings indicate that opportunities are few, and that what is offered in web-based learning resources is similar to what is offered in Swedish classrooms.

  • 34.
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Why are students using web-based learning resources in mathematics outside the classroom?2013Inngår i: Proceedings of the Seventh International Conference on Science, Mathematics and Technology Education. Muscat, Oman 4-7 November, 2012 / [ed] Darrell Fisher and Rekha Koul, Perth: Science and Mathematics Education Centre, Curtin University, Australia. , 2013, 40-44 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    The aim of this pilot study is to gain insights into the situation of students using web-based learning resources (WBLR) outside the formal learning environment in the classroom. More specifically to understand why students use the resources, and what they do when they access the resources. Eleven students that to some extent had used WBLR were interviewed, five in school year eight and six in school year twelve. The results indicate that the extent of the use of the resources were very limited and that the two main activities the students engage in are very similar to those they are used to from the classroom; i) practicing rote learning and ii) listening to solutions of tasks by a teacher. The students in upper secondary school used arguments tightly connected to grades, tests and results, aspects that will be of importance for the students in the future, while the younger students used arguments concerning mathematics in society and knowledge as important for their everyday life. The impression from the interviews was also that the younger students to a larger extent were open to new resources and more willing to search for new sites and try out what they found. 

  • 35.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Bergqvist, Ewa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Mathematical competences in Swedish steering documents2009Inngår i: In search for theories in mathematics education: proceedings of the 33rd conference of the International group for the psychology of mathematics education / [ed] Marianna Tzekaki, Maria Kaldrimidou, Haralambos Sakonidis, Thessaloniki, Greece: PME , 2009, 1:336- s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    This study is an ongoing project where we only have very preliminary results, and the main aim of this paper is not to present results, but to discuss the methodological issues when using content analysis on the course syllabus for the Swedish compulsory school. Content analysis (Krippendorff, 2004) is in most cases in the literature used on large materials, for example all news articles from a specific year that concern a certain political issue. We will discuss what happens when we try to use the method on a comparatively small document of a very different kind.

  • 36.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap, Interaktiva medier och lärande (IML). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Bergqvist, Ewa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    What is “strong presence” of a message in a steering document?2012Inngår i: Proceedings of Norma 11, The Sixth Nordic Conference on Mathematics Education in Reykjavík, May 11-14, 2011 / [ed] G. H. Gunnarsdóttir, F. Hreinsdóttir, G. Pálsdóttir, M. Hannula, M. Hannula-Sormunen, E. Jablonka, U. T. Jankvist, A. Ryve, P. Valero & K. Wæge, Reykjavík, Iceland: University of Iceland Press, 2012Konferansepaper (Fagfellevurdert)
    Abstract [en]

    The aim of this paper is to discuss what a “strong presence” of a message in a syllabuscould be. The discussion takes a starting point in what we call the reformmessage; that what mathematics is can not only be described in terms of content andprocedures, but must also be defined in terms of competencies, e.g. problem solving,reasoning and communication. The analyzed document is the Swedish syllabus forthe first course at upper secondary school. Different ways, both quantitative andqualitative, of determining what a strong presence of a message could be are presentedand discussed.

  • 37.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Boesen, Jesper
    Nyroos, Mikaela
    Umeå universitet, Samhällsvetenskapliga fakulteten, Pedagogiska institutionen. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Vad vet vi om hur matematiklärare arbetar för att utveckla elevers matematikkunskaper?2010Rapport (Annet vitenskapelig)
  • 38.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Hudson, Brian
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Lindwall, Krister
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Podcasting in School2008Rapport (Annet vitenskapelig)
    Abstract [en]

    Podcasting is a new phenomenon in Swedish schools. This pa- per describes a project where the main goal is to analyze if the students’ interest in mathematics is affected if the mathematics is made accessible via podcasts and iPods. Teachers at eleven schools were encouraged to produce podcasts as a part of their mathematics teaching in school year eight. The results indicate an increased interest in mathematics and the learning of mathematics among the students. We also found that the tech- nical difficulties for the teachers were underestimated in the project, and that teachers had difficulties in finding time for the production of podcasts.

     

  • 39.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för interaktiva medier och lärande (IML). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Hudson, Brian
    Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för interaktiva medier och lärande (IML). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Lithner, Johan
    Umeå universitet, Fakultet för lärarutbildning, Matematik, teknik och naturvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Lindwall, Krister
    Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för interaktiva medier och lärande (IML).
    Podcasting in school2009Inngår i: Sixth Research Seminar of the Swedish Society for Research in Mathematics Education (MADIF 6), In press, 2009Konferansepaper (Fagfellevurdert)
    Abstract [en]

    Podcasting is a new phenomenon in Swedish schools. This paper describes a project where the main goal is to analyze if the students’ interest in mathematics is affected if the mathematics is made accessible via podcasts and ipods. Teachers at eleven schools were encouraged to produce podcasts as a part of their mathematics teaching in school-year eight. The results indicate an increased interest in mathematics and the learning of mathematics among the students. We also found that the technical difficulties for the teachers were underestimated in the project, and that teachers had difficulties in finding time for the production of podcasts.

  • 40.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Liljekvist, Yvonne
    Karlstads universitet.
    van Bommel, Jorryt
    Karlstads universitet.
    Österholm, Magnus
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Evaluation of a large scale professional development program: Vol 22017Inngår i: Proceedings of the 41st Conference of the International Group for the Psychology of Mathematics Education / [ed] Kaur, B., Ho, W.K., Toh, T.L., & Choy, B.H., Singapore: PME , 2017, Vol. 2, 153-160 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    This paper reports on a par of an evaluation of the professional development program (PDP) Boost for Mathematics in Sweden. Around 200 mathematics lessons were observed, and the teachers were interviewed after each lesson. The findings indicate that the PDP has had a significant impact on the teachers’ knowledge about the mathematical competencies as they are presented in the national curriculum documents, and that the teaching practice had improved and now gives the students better possibilities to develop the competencies. The results also show that these improvements are still present one year after the program had ended. 

  • 41.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap, Interaktiva medier och lärande (IML).
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Mathematical reasoning in teachers' presentations2012Inngår i: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 31, nr 2, 31 s.252-269 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    This paper presents a study of the opportunities presented to students that allow them to learn different types of mathematical reasoning during teachers’ ordinary task solving presentations. The characteristics of algorithmic and creative reasoning that are seen in the presentations are analyzed. We find that most task solutions are based on available algorithms, often without arguments that justify the reasoning, which may lead to rote learning. The students are given some opportunities to see aspects of creative reasoning, such as reflection and arguments that are anchored in the mathematical properties of the task components, but in relatively modest ways.

  • 42.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Why is learning via creative reasoning effective?2016Inngår i: Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education / [ed] Csíkos, C., Rausch, A., & Szitányi, J., Szeged: PME , 2016Konferansepaper (Fagfellevurdert)
  • 43.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Fakultet för lärarutbildning, Interaktiva medier och lärande. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Sumpter, Lovisa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Upper secondary students’ task reasoning2008Inngår i: International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, Vol. 39, nr 1Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Upper secondary students’ task solving reasoning was analysed, with a focus on grounds for different strategy choices and implementations. The results indicate that mathematically well-founded considerations were rare. The dominating reasoning types were algorithmic reasoning, where students tried to remember a suitable algorithm, sometimes in a random way, and guided reasoning, where progress was possible only when essentially all important strategy choices were made by the interviewer.

  • 44.
    Bergqvist, Tomas
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Remillard, Janine
    University of Pennsylvania, USA.
    Van Steenbrugge, Hendrik
    Mälardalens Högskola.
    Balancing educative and directive guidance in teacher guides in three teaching cultures2015Inngår i: Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education / [ed] Beswick, K., Muir, T., & Wells, J., Hobart, Australia: PME , 2015, Vol. 1, 149-149 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    Teacher guides in mathematics from three cultural regions (Sweden, Flanders and the US) were analyzed concerning directive and educative guidance. Directive guidance is when the teacher guide clearly states what the teacher or the students are supposed to do. Educative guidance is when the teacher guide supports the teacher with information about student thinking, mathematical issues and similar. The results show that teacher guides from Flanders are more directive and the US together with one of two Swedish teacher guides are quite balanced. The second Swedish teacher guide stands out in being more educative than directive. This coincides with our understanding of the teaching traditions in the three regions.

  • 45.
    Bino, Vagi
    et al.
    University of Goroka, Papua New Guinea.
    Edmonds-Wathen, Cris
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Charles Darwin University, Australia.
    Technology-enhancement for Papua New Guinean professional learning2014Inngår i: Curriculum in focus: Research guided practice: Proceedings of the 36th annual conference of the Mathematics Education Research Group of Australasia / [ed] Anderson, J; Cavanagh, M; Prescott, A, Sydney: MERGA , 2014, 734-737 s.Konferansepaper (Fagfellevurdert)
    Abstract [en]

    Technology facilitated the implementation of teacher professional learning based on a design of principles to improve the teaching of Cultural Mathematics in elementary schools in Papua New Guinea. An offline ‘website’, a set of interlinked resource materials was used in workshops to enhance the professional learning. Appropriate and relevant content was needed together with consideration of the teachers’ backgrounds.

  • 46.
    Birky, Geoffrey
    et al.
    Georgetown University.
    Campbell, Connie M
    Millsaps College, USA.
    Raman, Manya
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Sandefur, James
    Georgetown University.
    Somers, Kay
    Moravian College, USA.
    One problem, nine student-produced proofs2011Inngår i: The College Mathematics Journal, ISSN 0746-8342, Vol. 42, nr 5, 355-360 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    The context of this paper is a project aimed at meeting the challenges of teaching an introduction-to-proof course at our own institutions. These courses are typically taken by second year students intending to major in mathematics or computer science and are taught in sections of 15 to 24 students. These students benefit from being given the freedom to explore different methods of proof without the presumption that they will use a certain method.  This is the story of how what could have been a routine, closed problem became an open one.

  • 47. Björkqvist, Ole
    et al.
    Gjone, GunnarJohansson, BengtKristjánsdóttir, AnnaLithner, JohanUmeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).Wallin, HansUmeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Preparation of researchers in mathematics education: Nordic symposium Umeå, August 17-20, 19951996Konferanseproceedings (Annet vitenskapelig)
  • 48.
    Blomqvist, Charlotta
    et al.
    Berghemsskolan, Umeå.
    Gade, Sharada
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Att kommunicera om likamedtecknet2013Inngår i: Nämnaren : tidskrift för matematikundervisning, ISSN 0348-2723, nr 4, 39-42 s.Artikkel i tidsskrift (Annet (populærvitenskap, debatt, mm))
    Abstract [sv]

    I denna artikel beskriver en lärare och en forskare sitt arbete med att utveckla den muntliga kommunikationsförmågan inom matematik i en fjärdeklass. Aktionsforskning utgör bakgrunden för arbetet och likamedtecknet står i fokus när eleverna utmanas i sitt matematiska tänkande med hjälp av lappar.

  • 49.
    Boesen, Jesper
    et al.
    Göteborgs universitet.
    Helenius, Ola
    Göteborgs universitet och Örebro universitet.
    Bergqvist, Ewa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Bergqvist, Tomas
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap.
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Palmberg, Björn
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Developing mathematical competence: from the intended to the enacted curriculum2014Inngår i: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 33, 72-87 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    This study investigates the impact of a national reform in Sweden introducing mathematical competency goals. Data were gathered through interviews, classroom observations, and online surveys with nearly 200 teachers. Contrasting to most studies of this size, qualitative analyses were conducted. The results show that teachers are positive to the message, but the combination of using national curriculum documents and national tests to convey the reform message has not been sufficient for teachers to identify the meaning of the message. Thus, the teachers have not acquired the functional knowledge of the competence message required to modify their teaching in alignment with the reform. The results indicate that for complex reform messages, such as the competency message, to have intended impact on classroom practice, special attention needs to be put on the clarity of the message. To have high-stakes tests, for example, does not alone seem to be sufficient. 

  • 50. Boesen, Jesper
    et al.
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Assessing mathematical competencies: an analysis of Swedish national mathematics tests2016Inngår i: Scandinavian Journal of Educational Research, ISSN 0031-3831, E-ISSN 1470-1170, 1-16 s.Artikkel i tidsskrift (Fagfellevurdert)
    Abstract [en]

    Internationally, education reform has been directed towards describing educational goals that go beyond topic and content descriptions. The idea of mathematical competencies describes such goals. National tests have been seen as one way of communicating these goals and influence teaching. The present study analyses Swedish national tests in mathematics, and seeks evidence about the extent to which they represent these competencies and may play a role in reforming teaching. The results show that the national tests assess all competencies. However, the study also shows a limited focus on the competencies’ interpretation and evaluation aspects. Thus, the tests do not fully capture the complex nature of the competencies. This may cloud the reform message and restrict the possibilities for the tests to function as levers for reform.

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