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- Bergqvist, Tomas, 1962-, et al.
(författare)
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Mathematical competences in Swedish steering documents
- 2009
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Ingår i: In search for theories in mathematics education : proceedings of the 33rd conference of the International group for the psychology of mathematics education. - Thessaloniki, Greece : PME. - 978-960-243-653-0 ; s. 1:336
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Konferensbidrag (refereegranskat)abstract
- This study is an ongoing project where we only have very preliminary results, and the main aim of this paper is not to present results, but to discuss the methodological is- sues when using content analysis on the course syllabus for the Swedish compulsory school. Content analysis (Krippendorff, 2004) is in most cases in the literature used on large materials, for example all news articles from a specific year that concern a certain political issue. We will discuss what happens when we try to use the method on a comparatively small document of a very different kind.
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- Bergqvist, Tomas, 1962-, et al.
(författare)
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What is “strong presence” of a message in a steering document?
- 2012
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Ingår i: Proceedings of Norma 11, The Sixth Nordic Conference on Mathematics Education in Reykjavík, May 11-14, 2011. - Reykjavík, Iceland : University of Iceland Press. - 978-9979-54-965-9
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Konferensbidrag (refereegranskat)abstract
- The aim of this paper is to discuss what a “strong presence” of a message in a syllabuscould be. The discussion takes a starting point in what we call the reformmessage; that what mathematics is can not only be described in terms of content andprocedures, but must also be defined in terms of competencies, e.g. problem solving,reasoning and communication. The analyzed document is the Swedish syllabus forthe first course at upper secondary school. Different ways, both quantitative andqualitative, of determining what a strong presence of a message could be are presentedand discussed.
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- Boesen, Jesper, 1971-, et al.
(författare)
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Mathematical competencies : A research framework
- 2010
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Ingår i: Mathematics and mathematics education : Cultural and social dimensions. - Linköping, Sweden : Svensk förening för matematikdidaktisk forskning, SMDF. - 91-973934-6-0 ; s. 157-167
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Konferensbidrag (refereegranskat)abstract
- This paper presents a summary of parts of a research framework constructed to be a basis for analyses of empirical data, with focus on students' opportunities to develop mathematical competensies. Six different competensies are defined and three competence related activities. International reform frameworks, mainly the NCTM Standards and the Danish KOM-project, inspire the framework. The six competencies are Problem solving ability, Reasoning ability, Applying procedures ability, Representation ability, Connection ability, and Communication ability.
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- Bergqvist, Tomas, 1962-
(författare)
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Gymnasieelever undersöker ett matematiskt begrepp med grafräknare
- 1999
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Ingår i: Nordisk matematikkdidaktikk. - Notodden, Norway : The association of NOMAD. - 1104-2176. ; 7:3-4, s. 35-60
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Tidskriftsartikel (refereegranskat)abstract
- Artikeln beskriver ett försök där gymnasieelever får undersöka faktorisering av andragradspolynom med hjälp av grafiska representationer av funktioner. Eleverna leds in i ett för dem nytt arbetssätt, där de tillsammans med en lärare får arbeta med ett antal uppgifter med hjälp av en grafräknare. Resultaten visar att eleverna kommer med egna hypoteser och använder grafräknaren på eget initiativ i vissa situationer. Resultaten visar också att eleverna i försöket i viss mån kunde använda grafräknaren i ett undersökande arbetssätt.
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- Bergqvist, Tomas, 1962-
(författare)
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How teachers verify conjectures : teachers' expectations
- 2005
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Ingår i: Journal of Mathematics Teacher Education. - Springer. - 1386-4416. ; 8:2, s. 171-191
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Tidskriftsartikel (refereegranskat)abstract
- Eight teachers were interviewed concerning how students verify conjectures. The study is a sequel to a previous study, “How Students Verify Conjectures” [Bergqvist, T. (2000). How students verify conjectures. Research reports in Mathematics Education 3]. Teachers’ expectations of students’ reasoning and performance are examined, and also how they wish students would work. The results indicate that the teachers tend to underestimate the students’ reasoning levels and that they believe that only a small group of students in each class can use higher level reasoning in mathematics.
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- Bergqvist, Tomas, 1962-
(författare)
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IT och Lärande - i skola och lärarutbildning
- 2005
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Ingår i: Tidskrift för lärarutbildning och forskning. - Umeå : Fakultetsnämnden för lärarutbildning. - 1404-7659. ; 12:1-2, s. 11-20
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Tidskriftsartikel (övrigt vetenskapligt)
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- Bergqvist, Tomas, 1962-, et al.
(författare)
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Mathematical reasoning in teachers' presentations
- 2012
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Ingår i: Journal of Mathematical Behavior. - Elsevier. - 0732-3123. ; 31:2, s. 252-269
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Tidskriftsartikel (refereegranskat)abstract
- This paper presents a study of the opportunities presented to students that allow them to learn different types of mathematical reasoning during teachers’ ordinary task solving presentations. The characteristics of algorithmic and creative reasoning that are seen in the presentations are analyzed. We find that most task solutions are based on available algorithms, often without arguments that justify the reasoning, which may lead to rote learning. The students are given some opportunities to see aspects of creative reasoning, such as reflection and arguments that are anchored in the mathematical properties of the task components, but in relatively modest ways.
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