| 1. |
- Hansson, Lena, 1975-, et al.
(författare)
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A case study of the role of mathematics in physics textbooks and in associated lessons
- 2019
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Ingår i: Mathematics in physics education. - Dordrecht : Springer. - 9783030046262 ; , s. 293-316
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Bokkapitel (refereegranskat)abstract
- This chapter describes a case study of the role of mathematics in physics textbooks and in associated teacher led lessons. The theoretical framework (Hansson et al. 2015) used in the analysis focuses on relations communicated between three entities: Theoretical models, Mathematics, and Reality. Previously the framework has been used for analysing classroom situations. In this chapter, the framework is further developed and refined, and for the first time used to analyse physics textbooks. The case study described here is a synchronised analysis of a physics textbook and associated classroom communication during teacher led lessons, and contributes with an in-depth description of relations made between Theoretical models, Mathematicsand Reality. With the starting point in this case we discuss future uses of the analysis framework. We also raise questions for further research concerning how physics textbooks support and not support a meaningful physics teaching with respect to the role of mathematics and how relations between Theoretical models, Mathematics, and Reality are communicated.
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| 2. |
- Hansson, Lena, 1975-, et al.
(författare)
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Att utgå från frågor och situationer i förskolans vardag : vilket naturvetenskapligt innehåll kan det leda till?
- 2014
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Ingår i: NorDiNa. - 1504-4556 .- 1894-1257. ; 10:1, s. 77-89
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Tidskriftsartikel (refereegranskat)abstract
- Identifying and building on children’s questions and everyday situations is often discussed as a basis for science learning in preschool. With a starting point in such questions and situations, children should be given the opportunity to investigate and search for answers. What questions and situations do preschool teachers identify as possible bases for science learning? What science content is present? To what extent are the questions possible to investigate for children and preschool teachers through experiments and observations or theoretical studies? The paper presents children’s questions and everyday situations that might form the basis for science learning, as identified by preschool teachers taking part in a science in-service training course. Based on a content analysis, we discuss possibilities and difficulties that preschool teachers may face in their practice when they try to use these questions and situations as a basis for science learning.
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| 3. |
- Hansson, Lena, 1975-, et al.
(författare)
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Curriculum emphases, mathematics and teaching practices : Swedish upper-secondary physics teachers’ views
- 2021
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Ingår i: International Journal of Science and Mathematics Education. - 1571-0068 .- 1573-1774. ; 19, s. 499-515
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Tidskriftsartikel (refereegranskat)abstract
- This article addresses physics teachers’ views about physics teaching in upper-secondary school. Their views have been investigated nationwide through a web-based questionnaire. The questionnaire has been developed based on several published instruments and is part of an ongoing project on the role of mathematics in physics teaching at upper-secondary school. The selected part of the results from the analysis of the questionnaire reported on here cross-correlate physics teachers’ views about aims of physics teaching with their view of physics classroom activities, and perceived hindrances in the teaching of physics. 379 teachers responded to the questionnaire (45% response rate). The result indicates that teachers with a high agreement with a Fundamental Physics curriculum emphasis regarded mathematics as a problem for physics teaching, whereas teachers with high agreement with the curriculum emphases Physics, Technology and Societyor Knowledge Development in Physics did not do so. This means that teachers with a main focus on fundamental theories and concepts believe that mathematics is a problem to a higher extent than teachers with main focus on the role of physics in society and applied aspects or physics knowledge development do. Consequences for teaching and further research are discussed.
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| 4. |
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| 5. |
- Hansson, Lena, 1975-, et al.
(författare)
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Reality - theoretical models - mathematics : a ternary perspective on physics lessons in upper-secondary school
- 2015
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Ingår i: Science & Education. - 0926-7220 .- 1573-1901. ; 24:5-6, s. 615-644
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Tidskriftsartikel (refereegranskat)abstract
- This article discusses the role of mathematics during physics lessons in upper-secondary school. Mathematics is an inherent part of theoretical models in physics and makes powerful predictions of natural phenomena possible. Ability to use both theoretical models and mathematics is central in physics. This paper takes as a starting point that the relations made during physics lessons between the three entities Reality, Theoretical models and Mathematics are of the outmost importance. A framework has been developed to sustain analyses of the communication during physics lessons. The study described in this article has explored the role of mathematics for physics teaching and learning in upper-secondary school during different kinds of physics lessons (lectures, problem solving and labwork). Observations are from three physics classes (in total 7 lessons) led by one teacher. The developed analytical framework is described together with results from the analysis of the 7 lessons. The results show that there are some relations made by students and teacher between theoretical models and reality, but the bulk of the discussion in the classroom is concerning the relation between theoretical models and mathematics. The results reported on here indicate that this also holds true for all the investigated organisational forms lectures, problem solving in groups and labwork.
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| 6. |
- Hansson, Lena, 1975-, et al.
(författare)
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Science learning starting in everyday situations : preschool teachers evaluate different situations’ suitability
- 2014
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- This article takes a starting point in the idea that science in preschool would benefit from starting with children’s questions and situations in preschool everyday life. In a previous study preschool teachers have collected such questions and everyday situations in their own preschool practice. A content analysis was performed resulting in a number of different categories describing the potential science content. With the present study we want to contribute to a deepened understanding of how preschool teachers view the possibility to work with science starting from different kinds of questions and situations in preschool everyday life. The data were collected in focus group interviews with preschool teachers who were asked to evaluate different questions/situations (collected in the previous study) in respect to the extent they could work as starting points for science learning situations. The results show that the preschool teachers put forward different kinds of reasons when discussing whether or not the questions/situations could work as a starting point for science learning. These reasons are discussed in relation to policy documents as well as earlier results in the research field concerning science and preschool.
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| 7. |
- Hansson, Lena, 1975-, et al.
(författare)
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The notion of projectile motion : a case study
- 2018
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Ingår i: Proceedings of the 42nd Conference of theInternational Group for the Psychology of Mathematics Education. ; , s. 243-
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- This study adds to research on the use of mathematics in physics classrooms at upper secondary school. The aim is to look closer into what types of transfer do the teacher and textbook set up for the pupils with respect to ways of reasoning from other physics contexts as well as from mathematics. The frame for analysis is an analytical model based on relations made between Reality, Theoretical models and Mathematics (Redfors, Hansson, Hansson & Juter, 2016). Horizontal and vertical transfer is defined as mappings of new information to an activated known structure and as the creation of a new structure in the learner’s mind, respectively (Rebello, Cui, Benett, Zollman & Ozimek, 2007). Transfer occurs within mathematics and physics and also between the topics.We will focus on a physics lecture (40 min, video recorded) in a 3rd year class. When reasoning movement of charged particles in electric fields the teacher stresses hori- zontal transfer from mechanics and projectile motion. The procedure used is focused on analysing movement in “x direction” and “y direction” separately, not explicitly relating movement to the field direction. Whereas the argumentation in the textbook is based on movement in relation to the existence of a field direction. When considering velocity, the main focus is in both cases on a framework where the components of velocity is central.The tangent of a curve is a notion the students in the present study are quite familiar with from their courses in mathematics, which makes an opportunity for transfer from a mathematics context to help understanding physics. However, the notion of tangent is not used in the textbook or by the teacher in relation to velocity. Using the vector concept in this way would require students and teachers to perform a vertical transfer. This has been shown hard for both students and teachers. However, introducing this way of reasoning had made use of an opportunity for structural use of mathematics – an opportunity overlooked by both teacher and textbook.
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| 8. |
- Hansson, Lena, 1975-, et al.
(författare)
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The role of mathematics for physics teaching and learning in upper-secondary school
- 2019
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Konferensbidrag (refereegranskat)abstract
- The aim of this three-year study is to further contribute to the understanding of how relations between Reality – Theoretical models – Mathematics are communicated in different kinds of instructional situations (lectures, problem solving and labwork) in Swedish upper-secondary physics. A developed analytical framework from the pilot (Authors, 2015; 2019) is used to focus the analysis of the classroom communication on relations made (by teachers and students) between Reality – Theoretical models – Mathematics. The framework, results from an online survey to Swedish upper-secondary teachers on views of physics, mathematics and physics teaching, and results from classroom studies at upper secondary school during 2018 will be reported and discussed at the conference.
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| 9. |
- Hansson, Örjan, et al.
(författare)
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The notion of projectile motion : a case study
- 2018
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Konferensbidrag (refereegranskat)abstract
- This study adds to research on the use of mathematics in physics classrooms at upper secondary school. The aim is to look closer into what types of transfer do the teacher and textbook set up for the pupils with respect to ways of reasoning from other physics contexts as well as from mathematics. The frame for analysis is an analytical model based on relations made between Reality, Theoretical models and Mathematics (Redfors, Hansson, Hansson & Juter, 2016). Horizontal and vertical transfer is defined as mappings of new information to an activated known structure and as the creation of a new structure in the learner’s mind, respectively (Rebello, Cui, Benett, Zollman & Ozimek, 2007). Transfer occurs within mathematics and physics and also between the topics.We will focus on a physics lecture (40 min, video recorded) in a 3rd year class. When reasoning movement of charged particles in electric fields the teacher stresses hori- zontal transfer from mechanics and projectile motion. The procedure used is focused on analysing movement in “x direction” and “y direction” separately, not explicitly relating movement to the field direction. Whereas the argumentation in the textbook is based on movement in relation to the existence of a field direction. When considering velocity, the main focus is in both cases on a framework where the components of velocity is central.The tangent of a curve is a notion the students in the present study are quite familiar with from their courses in mathematics, which makes an opportunity for transfer from a mathematics context to help understanding physics. However, the notion of tangent is not used in the textbook or by the teacher in relation to velocity. Using the vector concept in this way would require students and teachers to perform a vertical transfer. This has been shown hard for both students and teachers. However, introducing this way of reasoning had made use of an opportunity for structural use of mathematics – anopportunity overlooked by both teacher and textbook.
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| 10. |
- Juter, Kristina, et al.
(författare)
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Upper secondary physics teachers’ views of mathematics
- 2018
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Ingår i: Proceedings of Madif 11. ; , s. 222-223
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Konferensbidrag (refereegranskat)abstract
- Physics teachers at upper secondary school indirectly teach mathematics in their physics classes through their teaching strategies and preferred ways of using mathematics. Their views of physics and mathematics are important for the way they depict mathematics to the students. A web-questionnaire was administered to Swedish physics teachers. Part of the questions investigated views of mathematics, i.e. as a means for application, as a schema, as a formal construct or as processes. Mathematics as a means for application was the dominant opinion. Students’ lack of knowledge in mathematics was regarded as a problem to many of the teachers, and particularly problem solving and modelling. Students’ conceptual and relevance proficiencies in mathematics were less problematical.
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