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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 practice2017Ingår i: Nordisk matematikkdidaktikk, NOMAD: [Nordic Studies in Mathematics Education], ISSN 1104-2176, Vol. 22, nr 1, s. 5-20Artikel i tidskrift (Refereegranskat)
    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.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Characteristics of improved formative assessment practice2017Ingår i: Education Inquiry, ISSN 2000-4508, E-ISSN 2000-4508, Vol. 8, nr 2, s. 104-122Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    An earlier study showed that the changes in teachers’ classroom practice, after participation in a professional development program in formative assessment, significantly improved student achievement in mathematics. The teachers in that study were a random selection of Year 4 teachers in a Swedish mid-sized municipality. In the present study, we analyse and describe the characteristics of these changes in classroom practice, which were based on a combination of various strategies for formative assessment. Data were collected through teacher interviews and classroom observations. The teachers implemented many new activities that strengthened a formative classroom practice based on identifying student learning needs and modifying the teaching and learning accordingly. The characteristics of the changes the teachers made reveal the complexity of this formative assessment practice and why such developments of practice are likely to require major changes in most teachers’ practices. We also discuss how such changes in practice afford new learning opportunities.

  • 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).
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Reasons for teachers' successful development of a formative assessment practice through professional development: a motivation perspective2018Ingår i: Assessment in education: Principles, Policy & Practice, ISSN 0969-594X, E-ISSN 1465-329X, Vol. 25, nr 6, s. 576-597Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Formative assessment has been shown to have the potential to significantly enhance student achievement, but a strong research base about how to support teachers to implement such a practice is lacking. This is particularly so for a conceptualisation of formative assessment as a unity of integrated formative assessment strategies. The aim of this study is to investigate why the mathematics teachers who participated in a successful professional development programme in formative assessment developed their formative classroom practice to such an extent that it had a significant impact on student achievement. An analysis of data from teacher questionnaires and interviews shows that the teachers' actions can be explained by expectancy-value theory of achievement motivation. Characteristics of the professional development programme that the teachers experienced as important for their development of a formative classroom practice are identified, and the characteristics' affordances for the development of the teachers' expectancy and value beliefs are discussed.

  • 4.
    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 programme2017Ingår i: Learning and instruction, ISSN 0959-4752, E-ISSN 1873-3263, Vol. 49, s. 92-102Artikel i tidskrift (Refereegranskat)
    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.

  • 5.
    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’ practice2013Konferensbidrag (Refereegranskat)
  • 6.
    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 (Övrigt vetenskapligt)
  • 7.
    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 (Övrigt vetenskapligt)
  • 8.
    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 curriculum2014Ingår i: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 33, s. 72-87Artikel i tidskrift (Refereegranskat)
    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. 

  • 9. Boesen, Jesper
    et al.
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Assessing mathematical competencies: an analysis of Swedish national mathematics tests2018Ingår i: Scandinavian Journal of Educational Research, ISSN 0031-3831, E-ISSN 1470-1170, Vol. 62, nr 1, s. 109-124Artikel i tidskrift (Refereegranskat)
    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.

  • 10.
    Boesen, Jesper
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    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).
    The relation between types of assessment tasks and the mathematical reasoning students use2010Ingår i: Educational Studies in Mathematics, ISSN 0013-1954, E-ISSN 1573-0816, Vol. 75, nr 1, s. 89-105Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    The relation between types of tasks and the mathematical reasoning used by students trying to solve tasks in a national test situation is analyzed. The results show that when confronted with test tasks that share important properties with tasks in the textbook the students solved them by trying to recall facts or algorithms. Such test tasks did not require conceptual understanding. In contrast, test tasks that do not share important properties with the textbook mostly elicited creative mathematically founded reasoning. In addition, most successful solutions to such tasks were based on this type of reasoning.

  • 11.
    Boesen, Jesper
    et al.
    Umeå universitet, Teknisk-naturvetenskaplig fakultet, Matematik och matematisk statistik.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskaplig fakultet, Matematik och matematisk statistik.
    Vilka typer av resonemang (ut)värderas i skolmatematiken?: En analys av svenska gymnasieprov2005Ingår i: Nordisk konferense i matematikkdidaktikk, 2004: Vurdering i matematikk - Hvorfor og vhordan? Fra småskole til voksenopplaering, 2005, s. 171-186Konferensbidrag (Refereegranskat)
  • 12.
    Boström, Erika
    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).
    Changes in teachers' formative classroom practice after a professional development programme, and important conditions for changeManuskript (preprint) (Övrigt vetenskapligt)
    Abstract [en]

    Formative assessment has been shown to have the power to positively affect student achievement, but support for teachers to substantially develop their formative classroom practices have been frequently unsuccessful. In this study, a random selection of year-7 teachers participated in a professional development programme (PDP) in formative assessment. The PDP was designed in accordance with many of the characteristics known to be important for teachers’ possibilities to develop their practice. Classroom observations, questionnaires and interviews are used to investigate the changes made in the teachers’ classroom practices after the PDP, and the conditions and barriers they perceived to have been important in their endeavours to developing a formative classroom practice. The results show how all teachers developed their practice, but to different degrees, and that a majority of the implemented activities focus on the teacher as the responsible agent for the formative assessment process. The teachers were satisfied with most of the conditions provided during the PDP, but experienced barriers for change from the teaching conditions at their schools after the PDP. A comparison is made with a parallel PDP for year-4 teachers that resulted in large teacher changes and significant effects on student achievement.

  • 13.
    Boström, Erika
    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).
    Motivational beliefs as an explanation for the effect of professional development programmes in formative assessment on teacher practiceManuskript (preprint) (Övrigt vetenskapligt)
    Abstract [en]

    Research has identified characteristics of professional development programmes (PDPs) which are successful inchanging teachers practice and improving student achievement. However, these characteristics do not predict and guarantee the outcomes of a specific PDP. Through teacher interviews and questionnaires, we investigated why randomly selected teachers in schoolyear-7, after participating in a PDP on formative assessment, changed their practice in ways identified in an earlier study and why these changes differed from those of teachers in schoolyear-4 participating in a similar PDP. The results show that the teachers’ motivational beliefs held after the PDP is an explanatory factor for their changes in practice. We discuss how differences in these beliefs may have developed by connecting characteristics of the teachers, the school, and the PDP to the mechanisms of change identified in a model of teacher growth.

  • 14.
    Boström, Erika
    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 a specific formative assessment practice on student achievement in mathematicsManuskript (preprint) (Övrigt vetenskapligt)
    Abstract [en]

    Research has shown that formative assessment can enhance student learning. However, there is a great variety in how formative assessment is conceptualized and implemented, and in the size of the effects found on student achievement. A need has been identified for experimental studies both carefully describing the characteristics of the implemented formative assessment practice and its impact on student achievement. This study examines the effects on student achievement of the changes in a random sample of 14 secondary school mathematics teachers’ formative classroom practice that followed a professional development input. The practices were described, and student achievement were measured with pre-tests and post-tests. Results show that there were no significant differences in learning gains between the classes in the intervention group and the control group. The results also show no significant correlation between the number of formative assessment activities implemented by the teachers and the change in students’ achievement

  • 15.
    Lithner, Johan
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Bergqvist, Ewa
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Bergqvist, Tomas
    Umeå universitet, Samhällsvetenskapliga fakulteten, Institutionen för tillämpad utbildningsvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Boesen, Jesper
    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).
    Mathematical competencies: A research framework2010Ingår i: Mathematics and mathematics education: Cultural and social dimensions / [ed] Bergsten, Jablonka & Wedege, Linköping, Sweden: Svensk förening för matematikdidaktisk forskning, SMDF , 2010, s. 157-167Konferensbidrag (Refereegranskat)
  • 16.
    Lithner, Johan
    et al.
    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, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Learning difficulties and mathematical reasoning2010Ingår i: The first sourcebook on nordic research in mathematics education: Norway, Sweden, Iceland, Denmark and contributions from Finland / [ed] Sriraman, B., Bergsten, C., Goodchild, S., Palsdottir, G., Dahl Sondergaard, B., & Haapasalo, L., Charlotte, NC: Information Age Publishing, 2010, s. 283-298Kapitel i bok, del av antologi (Refereegranskat)
  • 17.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Matematiska institutionen.
    Authentic assessment and performance assessment: A conceptual analysis of the literature2008Ingår i: Practical Assessment, Research & Evaluation, ISSN 1531-7714, E-ISSN 1531-7714, Vol. 13, nr 4Artikel i tidskrift (Refereegranskat)
    Abstract [en]

     Performance assessment and authentic assessment are recurrent terms in the literature on education and educational research. They have both been given a number of different meanings and unclear definitions and are in some publications not defined at all. Such uncertainty of meaning causes difficulties in interpretation and communication and can cause clouded or misleading research conclusions. This paper reviews the meanings attached to these concepts in the literature and describes the similarities and wide range of differences between the meanings of each concept.

  • 18.
    Palm, Torulf
    Umeå universitet, Fakultet för lärarutbildning, Matematik, teknik och naturvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Features and Impact of the Authenticity of Applied Mathematical School Tasks2007Ingår i: Modelling and Applications in Mathematics Education: The 14th ICMI study / [ed] Blum, Galbraith, Henn & Niss, New York: Springer, 2007, s. 201-208Kapitel i bok, del av antologi (Övrigt vetenskapligt)
    Abstract [en]

    In this paper the issue of the authenticity of applied mathematical school tasks is discussed. The paper includes a description of a framework for reflection, analysis and development of authentic tasks. Its possible uses are exemplified by two studies. One of the studies is an analysis of in what way and to what extent the applied tasks included in the national assessments in Finland and Sweden are, or are not, authentic. In the second example the framework is used in a study of the impact of authenticity on the students' sense making in word problem solving.

  • 19.
    Palm, Torulf
    Umeå universitet, Fakultet för lärarutbildning, Matematik, teknik och naturvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Features and impact of the authenticity of applied mathematical school tasks2007Ingår i: Pre-conference volume of the Study conference of the ICMI study 14: Applications and modelling in mathematics education / [ed] Henn & Blum, US: Springer , 2007, Vol. 10, s. 201-208Konferensbidrag (Refereegranskat)
  • 20.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Matematiska institutionen.
    Impact of authenticity on sense making in word problem solving2008Ingår i: Educational Studies in Mathematics, ISSN 0013-1954, E-ISSN 1573-0816, Vol. 67, nr 1Artikel i tidskrift (Refereegranskat)
  • 21.
    Palm, Torulf
    Umeå universitet, Fakultet för lärarutbildning, Matematik, teknik och naturvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Interrater reliability in a national assessment of oral mathematical communication2008Ingår i: Nordisk matematikkdidaktikk, ISSN 1104-2176, Vol. 13, nr 2, s. 49-70Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Mathematical communication, oral and written, is generally regarded as an important aspect of mathematics and mathematics education. This implies that oral mathematical communication also should play a part in various kinds of assessments. But oral assessments of subject matter knowledge or communication abilities, in education and elsewhere, often display reliability problems, which render difficulties with their use. In mathematics education, research about the reliability of oral assessments is comparably uncommon and this lack of research is particularly striking when it comes to the assessment of mathematical communication abilities. This study analyses the interrater reliability of the assessment of oral mathematical communication in a Swedish national test for upper secondary level. The results show that the assessment does suffer from interrater reliability problems. In addition, the difficulties to assess this construct reliably do not seem to mainly come from the communication aspect in itself, but from insufficiencies in the model employed to assess the construct.

  • 22.
    Palm, Torulf
    Umeå universitet, Fakultet för lärarutbildning, Matematik, teknik och naturvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Kompetenser och nationella prov2007Ingår i: Nämnaren : tidskrift för matematikundervisning, ISSN 0348-2723, Vol. 34, nr 4, s. 9-12Artikel i tidskrift (Övrig (populärvetenskap, debatt, mm))
  • 23.
    Palm, Torulf
    Umeå universitet, Samhällsvetenskaplig fakultet, Beteendevetenskapliga mätningar.
    Proceedings of the Third International SweMas Conference Umeå, october 14-15, 20032005Proceedings (redaktörskap) (Övrigt vetenskapligt)
  • 24.
    Palm, Torulf
    Umeå universitet.
    Test quality considerations2005Ingår i: Proceedings of the Third International SweMaS Conference, Umeå, 2003, 2005, s. 107-109Konferensbidrag (Refereegranskat)
  • 25.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Matematiska institutionen.
    The realism of mathematical school tasks: Features and consequences2002Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
  • 26.
    Palm, Torulf
    Umeå universitet, Fakultet för lärarutbildning, Matematik, teknik och naturvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Theory of authentic task situations2009Ingår i: Words and worlds: Modelling verbal descriptions of situations / [ed] Verschaffel, Greer, Van Dooren & Mukhopadhyay, Rotterdam, The Netherlands: Sense Publishers , 2009, s. 3-19Kapitel i bok, del av antologi (Övrigt vetenskapligt)
  • 27.
    Palm, Torulf
    Umeå universitet, Fakultet för lärarutbildning, Matematik, teknik och naturvetenskap. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Word problems as simulations of real-world situations: A proposed framework2006Ingår i: For the Learning of Mathematics, ISSN 0228-0671, Vol. 26, nr 1, s. 42-47Artikel i tidskrift (Refereegranskat)
  • 28.
    Palm, Torulf
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Andersson, Catarina
    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).
    Vingsle, Charlotta
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    A research program for studying the development and impact of formative assessment2017Ingår i: ICT in mathematics education: the future and the realities: Proceedings of MADIF 10 The tenth research seminar of the Swedish Society for Research in Mathematics Education Karlstad, January 26–27, 2016. Göteborg: SMDF / [ed] Johan Häggström, Eva Norén, Jorryt van Bommel, Judy Sayers, Ola Helenius, Yvonne Liljekvist, Göteborg, 2017, s. 135-144Konferensbidrag (Refereegranskat)
    Abstract [en]

    This paper outlines the research program for the formative assessment group at Umeå Mathematics Education Research Centre. The program was presented in a symposium at the conference, and focuses on the study of the development and impact of formative assessment. The main purpose of the research carried out by the research group is to provide research results that will be used outside the research community for educational decisions on systemic level, or as support for improved teaching and learning at classroom level. The paper outlines the fundamental ideas of the program, current studies, and examples of completed studies.

  • 29.
    Palm, Torulf
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Andersson, Catarina
    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).
    Vingsle, Charlotta
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    A review of the impact of formative assessment on student achievement in mathematics2017Ingår i: Nordisk matematikkdidaktikk, ISSN 1104-2176, Vol. 22, nr 3, s. 25-50Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Research reviews show that formative assessment has great potential for raising student achievement in general, but there is a need for reviews of formative assessment in individual subjects. This review examines its impact on student achievement in mathematics through an assessment of scientific journal articles published between 2005 and 2014 and indexed in Web of science. Through the use of search terms such as ”formative assessment”, ”assessment for learning” and ”self-regulated learning”, different approaches to formative assessment were included in the review. While varying in approach, they all share the defining characteristic of formative assessment: agents in the classroom collect evidence of student learning and, based on this information, adjust their teaching and/or learning. The results show positive relations between student achievement in mathematics and the ways of doing formative assessment included in the review.

  • 30.
    Palm, Torulf
    et al.
    Umeå universitet, Samhällsvetenskaplig fakultet, Beteendevetenskapliga mätningar.
    Bergqvist, Ewa
    Umeå universitet, Samhällsvetenskaplig fakultet, Beteendevetenskapliga mätningar. Umeå universitet, Teknisk-naturvetenskaplig fakultet, Umeå Forskningscentrum för Matematikdidaktik (UFM).
    Eriksson, Ingela
    Umeå universitet, Samhällsvetenskaplig fakultet, Beteendevetenskapliga mätningar.
    Hellström, Timo
    Umeå universitet, Samhällsvetenskaplig fakultet, Beteendevetenskapliga mätningar.
    Häggström, Carl-Magnus
    Umeå universitet, Samhällsvetenskaplig fakultet, Beteendevetenskapliga mätningar.
    En tolkning av målen med den svenska gymnasiematematiken och tolkningens konsekvenser för uppgiftskonstruktion2004Rapport (Övrigt vetenskapligt)
  • 31.
    Palm, Torulf
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Boesen, Jesper
    National Center for Mathematics Education, University of Gothenburg.
    Lithner, Johan
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Mathematical reasoning requirements in Swedish upper secondary level assessments2011Ingår i: Mathematical Thinking and Learning, ISSN 1098-6065, E-ISSN 1532-7833, Vol. 13, nr 3, s. 221-246Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We investigate the mathematical reasoning required to solve the tasks in the Swedish national tests and a random selection of Swedish teacher-made tests. The results show that only a small proportion of the tasks in the teacher-made tests require the students to produce new reasoning and to consider the intrinsic mathematical properties involved in the tasks. In contrast, the national tests include a large proportion of tasks for which memorization of facts and procedures are not sufficient. The conditions and constraints under which the test development takes place indicate some of the reasons for this discrepancy and difference in alignment with the reform documents.

  • 32.
    Palm, Torulf
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Matematiska institutionen.
    Burman, Lars
    Reality in mathematics assessment: An analysis of task-reality concordance in Finnish and Swedish national assessment2004Ingår i: Nordic Studies in Mathematics Education, Vol. 9, nr 3Artikel i tidskrift (Refereegranskat)
  • 33.
    Palm, Torulf
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
    Nyström, Peter
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM). Umeå universitet, Samhällsvetenskapliga fakulteten, Beteendevetenskapliga mätningar.
    Gender aspects of sense making in word problem solving2009Ingår i: Journal of Mathematical Modelling and Application, Vol. 1, nr 1, s. 59-76Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    This study focuses on gender differences in the extent to which students take real-world considerations into account when working with word problems in mathematics. Previous studies have found that students have a tendency to neglect an appropriate use of real-world knowledge in their word-problem solving, which leads to solutions that are inconsistent with the ‘real' situations described in the tasks. Research has also shown that the authenticity of the word problems can influence students' activation of their knowledge of the ‘real' situations described in the tasks, as well as their use of this real-world knowledge in order to provide ‘realistic' solutions. The study reported here investigates whether there are gender differences in the students' activation and use of real-world knowledge when working with word problems in mathematics. In addition, it investigates whether task authenticity influences boys and girls differently with respect to these real-world considerations. The results show that even though some of the tasks used in the study affected boys and girls differently, across all tasks and students no evidence of gender differences with respect to real-world considerations were found.

  • 34.
    Palm, Torulf
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik. Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Umeå forskningscentrum för matematikdidaktik (UFM).
    Sullivan Hellgren, Jenny
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Winberg, Mikael
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Elevers motivation i matematik2010Rapport (Övrigt vetenskapligt)
  • 35.
    Ryve, Andreas
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Nilsson, Per
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Van Steenbrugge, Hendrik
    Andersson, Catarina
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Bergwall, Andreas
    Boström, Erika
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Larsson, Maria
    Vingsle, Lotta
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Kartläggning av forskning om formativ bedömning, klassrumsundervisning och läromedel i matematik: Delrapport från skolforsk-projektet2015Rapport (Övrigt vetenskapligt)
    Abstract [en]

    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. 

  • 36.
    Winberg, Mikael T.
    et al.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Hellgren, Jenny M.
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Palm, Torulf
    Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för naturvetenskapernas och matematikens didaktik.
    Stimulating positive emotional experiences in mathematics learning: influence of situational and personal factors2014Ingår i: European Journal of Psychology of Education, ISSN 0256-2928, E-ISSN 1878-5174, Vol. 29, nr 4, s. 673-691Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    The study aims to assess the relative importance of a large number of variables for predicting students’ positive-activating emotions during mathematics learning. Participants were 668 first-year upper secondary school students from 33 schools of different sizes and locations. Two questionnaires were distributed, one assessing students’ perceptions and beliefs about their learning situation in mathematics in general, and the other assessing the characteristics of a particular mathematics lesson and the students’ emotional experiences during this lesson. Single-construct and multivariate models for predicting students’ emotions were computed. The results show that the multivariate models were the most efficient, predicting as much as 59 % of the variance in students’ emotional experiences. The two most important constructs were students’ type of motivation and perceived degree of learning, which together predicted 48 % of the students’ emotions. Single-construct models predicted, at most, 36 %. The relative and absolute predictive ability of different motivational constructs are reported. The relationships between constructs and their implications for teaching are discussed.

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