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  • 1.
    Andersson, Catarina
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Boström, Erika
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Formative assessment in Swedish mathematics classroom practice2017In: Nordisk matematikkdidaktikk, NOMAD: [Nordic Studies in Mathematics Education], ISSN 1104-2176, Vol. 22, no 1, p. 5-20Article in journal (Refereed)
    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 University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Characteristics of improved formative assessment practice2017In: Education Inquiry, ISSN 2000-4508, E-ISSN 2000-4508, Vol. 8, no 2, p. 104-122Article in journal (Refereed)
    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 University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Reasons for teachers' successful development of a formative assessment practice through professional development: a motivation perspective2018In: Assessment in education: Principles, Policy & Practice, ISSN 0969-594X, E-ISSN 1465-329X, Vol. 25, no 6, p. 576-597Article in journal (Refereed)
    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 University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    The impact of formative assessment on student achievement: a study of the effects of changes in classroom practice after a comprehensive professional development programme2017In: Learning and instruction, ISSN 0959-4752, E-ISSN 1873-3263, Vol. 49, p. 92-102Article in journal (Refereed)
    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 University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Vingsle, Charlotta
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    The impact of a teacher professional development program in formative assessment on teachers’ practice2013Conference paper (Refereed)
  • 6.
    Bergqvist, Ewa
    et al.
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
    Bergqvist, Tomas
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Social Sciences, Department of applied educational science, Interactive Media and Learning (IML).
    Boesen, Jesper
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Helenius, Ola
    Örebro universitet.
    Lithner, Johan
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Palmberg, Björn
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
    Matematikutbildningens mål och undervisningens ändamålsenlighet: grundskolan våren 20092009Report (Other academic)
  • 7.
    Bergqvist, Ewa
    et al.
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
    Bergqvist, Tomas
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Social Sciences, Department of applied educational science, Interactive Media and Learning (IML).
    Boesen, Jesper
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Helenius, Ola
    Örebro universitet.
    Lithner, Johan
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Palmberg, Björn
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
    Matematikutbildningens mål och undervisningens ändamålsenlighet: gymnasiet hösten 20092010Report (Other academic)
  • 8.
    Boesen, Jesper
    et al.
    Göteborgs universitet.
    Helenius, Ola
    Göteborgs universitet och Örebro universitet.
    Bergqvist, Ewa
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Bergqvist, Tomas
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Social Sciences, Department of applied educational science.
    Lithner, Johan
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palmberg, Björn
    Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Developing mathematical competence: from the intended to the enacted curriculum2014In: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 33, p. 72-87Article in journal (Refereed)
    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 University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Assessing mathematical competencies: an analysis of Swedish national mathematics tests2018In: Scandinavian Journal of Educational Research, ISSN 0031-3831, E-ISSN 1470-1170, Vol. 62, no 1, p. 109-124Article in journal (Refereed)
    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 University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Lithner, Johan
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    The relation between types of assessment tasks and the mathematical reasoning students use2010In: Educational Studies in Mathematics, ISSN 0013-1954, E-ISSN 1573-0816, Vol. 75, no 1, p. 89-105Article in journal (Refereed)
    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 University, Faculty of Science and Technology, Mathematics and Mathematical Statistics.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Mathematics and Mathematical Statistics.
    Vilka typer av resonemang (ut)värderas i skolmatematiken?: En analys av svenska gymnasieprov2005In: Nordisk konferense i matematikkdidaktikk, 2004: Vurdering i matematikk - Hvorfor og vhordan? Fra småskole til voksenopplaering, 2005, p. 171-186Conference paper (Refereed)
  • 12.
    Boström, Erika
    et al.
    Umeå Mathematics Education Research Centre, Umeå University, Sweden.
    Palm, Torulf
    Umeå Mathematics Education Research Centre, Umeå University, Sweden.
    A professional development program in formative assessment for mathematics teachers: Which changes did the teachers do and why?2015In: Proceedings of the ninth conference of the European Society for Research in mathematics education (CERME9) / [ed] Krainer, K Vondrova, N, Prague: Charles University , 2015, p. 2947-2948Conference paper (Refereed)
    Abstract [en]

    This study is part of a larger research project about a comprehensive professional development program (PDP) in formative assessment for mathematics teachers. The aim of the study is to investigate in which ways the teachers' classroom practice change, with respect to formative assessment, after participating in the PDP, and which some of the reasons may be for these changes. Fourteen randomly chosen grade-seven mathematics teachers participated in the PDP. The teachers were interviewed and their classroom practices observed, before and after the PDP. They also answered two questionnaires about the PDP. Preliminary results show that all teachers were motivated to change and did change their practice, but to varying degrees.

  • 13.
    Boström, Erika
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Changes in teachers' formative classroom practice after a professional development programme, and important conditions for changeManuscript (preprint) (Other academic)
    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.

  • 14.
    Boström, Erika
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Motivational beliefs as an explanation for the effect of professional development programmes in formative assessment on teacher practiceManuscript (preprint) (Other academic)
    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.

  • 15.
    Boström, Erika
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    The impact of a specific formative assessment practice on student achievement in mathematicsManuscript (preprint) (Other academic)
    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

  • 16.
    Lithner, Johan
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Bergqvist, Ewa
    Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Bergqvist, Tomas
    Umeå University, Faculty of Social Sciences, Department of applied educational science. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Boesen, Jesper
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Palmberg, Björn
    Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Mathematical competencies: A research framework2010In: Mathematics and mathematics education: Cultural and social dimensions / [ed] Bergsten, Jablonka & Wedege, Linköping, Sweden: Svensk förening för matematikdidaktisk forskning, SMDF , 2010, p. 157-167Conference paper (Refereed)
  • 17.
    Lithner, Johan
    et al.
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Learning difficulties and mathematical reasoning2010In: 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, p. 283-298Chapter in book (Refereed)
  • 18.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of mathematics.
    Authentic assessment and performance assessment: A conceptual analysis of the literature2008In: Practical Assessment, Research & Evaluation, ISSN 1531-7714, E-ISSN 1531-7714, Vol. 13, no 4Article in journal (Refereed)
    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.

  • 19.
    Palm, Torulf
    Umeå University, Faculty of Teacher Education, Mathematics, Technology and Science Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Features and Impact of the Authenticity of Applied Mathematical School Tasks2007In: Modelling and Applications in Mathematics Education: The 14th ICMI study / [ed] Blum, Galbraith, Henn & Niss, New York: Springer, 2007, p. 201-208Chapter in book (Other academic)
    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.

  • 20.
    Palm, Torulf
    Umeå University, Faculty of Teacher Education, Mathematics, Technology and Science Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Features and impact of the authenticity of applied mathematical school tasks2007In: 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, p. 201-208Conference paper (Refereed)
  • 21.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of mathematics.
    Impact of authenticity on sense making in word problem solving2008In: Educational Studies in Mathematics, ISSN 0013-1954, E-ISSN 1573-0816, Vol. 67, no 1Article in journal (Refereed)
  • 22.
    Palm, Torulf
    Umeå University, Faculty of Teacher Education, Mathematics, Technology and Science Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Interrater reliability in a national assessment of oral mathematical communication2008In: Nordisk matematikkdidaktikk, ISSN 1104-2176, Vol. 13, no 2, p. 49-70Article in journal (Refereed)
    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.

  • 23.
    Palm, Torulf
    Umeå University, Faculty of Teacher Education, Mathematics, Technology and Science Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Kompetenser och nationella prov2007In: Nämnaren : tidskrift för matematikundervisning, ISSN 0348-2723, Vol. 34, no 4, p. 9-12Article in journal (Other (popular science, discussion, etc.))
  • 24.
    Palm, Torulf
    Umeå University, Faculty of Social Sciences, Department of Educational Measurement.
    Proceedings of the Third International SweMas Conference Umeå, october 14-15, 20032005Conference proceedings (editor) (Other academic)
  • 25.
    Palm, Torulf
    Umeå University.
    Test quality considerations2005In: Proceedings of the Third International SweMaS Conference, Umeå, 2003, 2005, p. 107-109Conference paper (Refereed)
  • 26.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of mathematics.
    The realism of mathematical school tasks: Features and consequences2002Doctoral thesis, comprehensive summary (Other academic)
  • 27.
    Palm, Torulf
    Umeå University, Faculty of Teacher Education, Mathematics, Technology and Science Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Theory of authentic task situations2009In: Words and worlds: Modelling verbal descriptions of situations / [ed] Verschaffel, Greer, Van Dooren & Mukhopadhyay, Rotterdam, The Netherlands: Sense Publishers , 2009, p. 3-19Chapter in book (Other academic)
  • 28.
    Palm, Torulf
    Umeå University, Faculty of Teacher Education, Mathematics, Technology and Science Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Word problems as simulations of real-world situations: A proposed framework2006In: For the Learning of Mathematics, ISSN 0228-0671, Vol. 26, no 1, p. 42-47Article in journal (Refereed)
  • 29.
    Palm, Torulf
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Andersson, Catarina
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Boström, Erika
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Vingsle, Charlotta
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    A research program for studying the development and impact of formative assessment2017In: 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, p. 135-144Conference paper (Refereed)
    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.

  • 30.
    Palm, Torulf
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Andersson, Catarina
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Boström, Erika
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Vingsle, Charlotta
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    A review of the impact of formative assessment on student achievement in mathematics2017In: Nordisk matematikkdidaktikk, ISSN 1104-2176, Vol. 22, no 3, p. 25-50Article in journal (Refereed)
    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.

  • 31.
    Palm, Torulf
    et al.
    Umeå University, Faculty of Social Sciences, Department of Educational Measurement.
    Bergqvist, Ewa
    Umeå University, Faculty of Social Sciences, Department of Educational Measurement. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Eriksson, Ingela
    Umeå University, Faculty of Social Sciences, Department of Educational Measurement.
    Hellström, Timo
    Umeå University, Faculty of Social Sciences, Department of Educational Measurement.
    Häggström, Carl-Magnus
    Umeå University, Faculty of Social Sciences, Department of Educational Measurement.
    En tolkning av målen med den svenska gymnasiematematiken och tolkningens konsekvenser för uppgiftskonstruktion2004Report (Other academic)
  • 32.
    Palm, Torulf
    et al.
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Boesen, Jesper
    National Center for Mathematics Education, University of Gothenburg.
    Lithner, Johan
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Mathematical reasoning requirements in Swedish upper secondary level assessments2011In: Mathematical Thinking and Learning, ISSN 1098-6065, E-ISSN 1532-7833, Vol. 13, no 3, p. 221-246Article in journal (Refereed)
    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.

  • 33.
    Palm, Torulf
    et al.
    Umeå University, Faculty of Science and Technology, Department of mathematics.
    Burman, Lars
    Reality in mathematics assessment: An analysis of task-reality concordance in Finnish and Swedish national assessment2004In: Nordic Studies in Mathematics Education, Vol. 9, no 3Article in journal (Refereed)
  • 34.
    Palm, Torulf
    et al.
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
    Nyström, Peter
    Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). Umeå University, Faculty of Social Sciences, Department of Educational Measurement.
    Gender aspects of sense making in word problem solving2009In: Journal of Mathematical Modelling and Application, Vol. 1, no 1, p. 59-76Article in journal (Refereed)
    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.

  • 35.
    Palm, Torulf
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
    Sullivan Hellgren, Jenny
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Winberg, Mikael
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Elevers motivation i matematik2010Report (Other academic)
  • 36.
    Ryve, Andreas
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Nilsson, Per
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Van Steenbrugge, Hendrik
    Andersson, Catarina
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Bergwall, Andreas
    Boström, Erika
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Larsson, Maria
    Vingsle, Lotta
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Kartläggning av forskning om formativ bedömning, klassrumsundervisning och läromedel i matematik: Delrapport från skolforsk-projektet2015Report (Other academic)
    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. 

  • 37.
    Winberg, Mikael T.
    et al.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Hellgren, Jenny M.
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Palm, Torulf
    Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
    Stimulating positive emotional experiences in mathematics learning: influence of situational and personal factors2014In: European Journal of Psychology of Education, ISSN 0256-2928, E-ISSN 1878-5174, Vol. 29, no 4, p. 673-691Article in journal (Refereed)
    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.

1 - 37 of 37
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