| 1. |
- Bergqvist, Tomas, 1962-, et al.
(författare)
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Upper secondary students’ task reasoning
- 2008
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Ingår i: International Journal of Mathematical Education in Science and Technology. - : Informa UK Limited. - 0020-739X .- 1464-5211. ; 39:1
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Tidskriftsartikel (refereegranskat)abstract
- Upper secondary students’ task solving reasoning was analysed, with a focus on grounds for different strategy choices and implementations. The results indicate that mathematically well-founded considerations were rare. The dominating reasoning types were algorithmic reasoning, where students tried to remember a suitable algorithm, sometimes in a random way, and guided reasoning, where progress was possible only when essentially all important strategy choices were made by the interviewer.
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| 2. |
- Alam, Md Moudud, 1976-
(författare)
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Likelihood Prediction for Generalized Linear Mixed Models under Covariate Uncertainty
- 2014
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Ingår i: Communications in Statistics - Theory and Methods. - : Informa UK Limited. - 0361-0926 .- 1532-415X. ; 43:2, s. 219-234
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Tidskriftsartikel (refereegranskat)abstract
- This article presents the techniques of likelihood prediction for the generalized linear mixed models. Methods of likelihood prediction are explained through a series of examples; from a classical one to more complicated ones. The examples show, in simple cases, that the likelihood prediction (LP) coincides with already known best frequentist practice such as the best linear unbiased predictor. This article outlines a way to deal with the covariate uncertainty while producing predictive inference. Using a Poisson errors-in-variable generalized linear model, it has been shown in certain cases that LP produces better results than already known methods.
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| 3. |
- Palmér, Hanna, et al.
(författare)
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Lärares deltagande i praktiknära forskning
- 2023
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- Med utgångspunkt i det praktiknära forskningsprojektet Problemlösning i Förskoleklass, fokuserar vi i den här presentationen på hur lärarnas olika deltagande i en intervention samverkar med forsknings-kvalitet. Studien genomförs enligt modell för designforskning med målet att utveckla både teori och praktik avseende lärande och undervisning i matematik. Genom de snart tio år som studien har pågått har de medverkande förskoleklasslärarnas deltagande i interventionen varierat, från passiva observatörer och därmed konsumenter av forskning till att ha ansvar för såväl genomförande av undervisning som datainsamling och därmed producenter av forskning. Dessa olika samarbeten har resulterat i data där frågan om autenticitet är aktuell i förhållande till om intern eller extern validitet är utgångspunkten. Dessa olika autenticitet diskuteras på presentationen i relation till forskningskvalitet.
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| 4. |
- Wedman, Lotta, 1975-
(författare)
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A concept analysis of the notion concept : Contributions of an analysing tool
- 2018
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Ingår i: Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 4). - Umeå, Sweden. - 0771-100X. - 9789176019023 ; , s. 411-418
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Konferensbidrag (refereegranskat)abstract
- The word ‘concept’ is used with several meanings in mathematics education. In order to obtain a coherent theoretical framework, a concept analysis of the notion concept is performed for some current frameworks in the field. The taken approach includes creating a tool for analysing views on concept, based on a literature review in philosophy. This tool uses three distinctions of views on concept: mental versus abstract, subjective versus intersubjective, and molecular versus holistic. Examples from texts in mathematics education are given, where the three distinctions are present. Further, the taken approach offers a perspective on concept that simplifies comparisons between frameworks.
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| 5. |
- Wedman, Lotta, 1975-
(författare)
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Views on concept in the framework of Three worlds of mathematics : A concept analysis
- 2018
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Ingår i: Perspectives on professional development of mathematics teachers. - Göteborg, Sweden. - 1651-3274. - 9789198402421 ; , s. 121-130
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Konferensbidrag (refereegranskat)abstract
- There are examples of conceptual incoherencies within the field of mathematics education. In this paper, a concept analysis of the notion concept in Tall’s framework of Three worlds of mathematics is conducted. In the first phase of the study, an analysing tool is constructed from a literature review in philosophy and cognitive science. This tool makes two distinctions. One distinction is between views considering concepts as abstract and views considering concepts as mental. The other distinction is between views considering concepts as intersubjective and views considering concepts as subjective. Preliminary results show that different views on concept are mixed in the framework of Three worlds of mathematics.
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| 6. |
- Nordlander, Edvard, et al.
(författare)
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Enkla regler för en komplex värld
- 2016. - 1
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Ingår i: Ämnesdidaktiska utmaningar - inom matematik, naturvetenskap och teknik. - Gävle : Gävle University Press. - 9789197489362 - 9789197489379 ; , s. 27-46
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Bokkapitel (övrigt vetenskapligt/konstnärligt)
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| 7. |
- Taflin, Eva
(författare)
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Matematikproblem i skolan : för att skapa tillfällen till lärande
- 2007
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- The general purpose of this dissertation is to define and explore what mathematical problem solving entails. Seven criteria for rich problems will also be formulated. Rich problems are defined as problems which are especially constructed for mathematics education in a school context. The first part of the dissertation presents a sketch of what mathematical problem solving can entail in the teaching and learning process. The second part of the dissertation is a presentation and analysis of two ´rich´ problems. The analysis points out where mathematical ideas - concepts, procedures, conventions, strategies and formulae – appear in a problem solving process. The dissertation concludes with examples of the ways in which pupils and teachers together create occasions to utilize accepted mathematical ideas as well as the new range of ideas they devise in order to solve the problems. The concept of ´rich problems´ enables pupils with different mathematical backgrounds and capabilities to work with the same problem and solve it with various mathematical ideas. Research methods have included video- and audio recordings, stimulated recall with pupils and teachers, interviews and pupils drawings.
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| 8. |
- Cortas Nordlander, Maria, et al.
(författare)
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A Study of Students’ Ability to Solve Text-Based Mathematical Problems with Irrelevant or Superfluous Information
- 2008
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Ingår i: Mathematical Views, MAVI 14.
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Konferensbidrag (refereegranskat)abstract
- A limited quantitative survey has been performed in order to study the capability of students to solve text-based mathematical problems containing irrelevant or superfluous information, as well as their ability to scrutinize text and sort out the relevant information. The students took a written test with text-based problems of different amount of irrelevant or superfluous information. The capability of understanding such problems was investigated versus degree of maturity and gender. Obtained results indicate a noticeable correlation between the occurrence of irrelevant or superfluous information and ability of solving the problems. Furthermore, the results show that the degree of maturity, expressed in terms of age, has a clear influence on the results. This study has not revealed any significant difference between genders as regards ability of sorting out the relevant information.
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| 9. |
- Cortas Nordlander, Maria, et al.
(författare)
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Influence of Student’s Attitudes and Beliefs on the Ability of Solving Mathematical Problems with Irrelevant Information
- 2009
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Ingår i: Beliefs and attitudes in mathematics education. - Rotterdam : Sense Publishers. - 9789087907228 - 9789087907211 ; , s. 165-178
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Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
- A limited quantitative survey has been performed in order to study how attitudes, beliefs and feelings of students may influence the ability of solving text-based mathematical problems containing irrelevant information. The survey is also analyzing their capability of scrutinizing texts and sorting out relevant information.The students took a written test with text-based problems of different amount of irrelevant information. The capability of understanding such problems was investigated versus degree of mathematical maturity and gender. Obtained results indicate a noticeable correlation between the occurrence of irrelevant information and the ability of solving the problems. Furthermore, attitudes, beliefs, and the degree of mathematical maturity, expressed in terms of age, have a clear influence on the results. On the other hand, this study has not revealed any significant difference between genders as regards the capability of solving text-based problems with irrelevant information.
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| 10. |
- Cortas Nordlander, Maria, et al.
(författare)
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Komplexa tal är inte så komplexa!
- 2010
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Konferensbidrag (populärvet., debatt m.m.)abstract
- Abstraktion kan ofta utgöra ett hinder för lärande i matematik. Momentet med komplexa tal är inte något undantag. Varför ska man acceptera att i2=-1? Hur kan lärare introducera det på ett pedagogiskt sätt? Visualisering kan vara ett väsentligt led i att underlätta studenters lärande, ge dem en känsla av lägre abstraktion och härigenom vara nyckeln till djupare förståelse. Artikeln beskriver en visuell ansats som uppfyller kravet på lättillgänglighet. Metoden bygger på upprepade rotationer i det komplexa talplanet, vilket åskådliggör och konkretiserar komplexa tal genom visualisering.
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