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It is agreed that algebra has an important role in physics, particularly through handling symbols. A lot of previous research has focused on how mathematics is used in physics from perspectives where mathematics is taken for granted, and not addressing potential differences of mathematics in the physics classroom and in the mathematics classroom. Studies addressing differences between both subjects have been based on researchers’ own experiences of mathematics in both subjects. Thus, more focused empirical research is needed. The purpose of this study is to clarify similarities and differences between mathematics and physics concerning the use of algebraic symbols. Analyses were based on comparisons between upper secondary textbooks in mathematics and in physics from a discourse perspective. Statistical methods were used to decide if there were any significant differences between the subjects. Results showed an overlap in the algebra discourse in both subjects, but also several differences concerning core aspects of algebra. For example, a higher number of different algebraic symbols in equations in physics than in mathematics, and algebraic symbols are more seldom referred to by words in mathematics than in physics. This can make it difficult for students to identify similarities in the algebraic discourses in both subjects.

Argumentation is a key skill in most school subjects and academic disciplines, including mathematics and science. It is possible that similarities and differences between how argumentation is expressed in different subjects can contribute to, or disrupt, students’ transferrable argumentation skills. The purpose of this study is therefore to increase the understanding of such similarities and differences concerning the use of argumentation in mathematics and science texts. To reach this goal, the study compares argumentation with a focus on argumentation markers and argumentative structures in first-semester university textbooks in mathematics, chemistry, and biology. Results show that common linguistic argumentation markers in mathematics and science textbooks include for example because, if, thus, so, and therefore and that there is significantly more argumentation in the mathematics textbook compared to the science textbooks. Further, the results indicate differences in patterns of how argumentation is used, including for example that the mathematics textbook contains more complex argumentation compared with the chemistry textbook. Thereby, the subject-specific languages in the disciplines have the potential to offer students different examples of argumentation.

Analysis of a textbook scheme for Key Stage 3 characterises the ways students are expected to engage with mathematical reasoning. Key findings include the lack of a clear distinction between problem-solving and reasoning and strong differences in both the types and amounts of reasoning expected of students perceived to need support or depth. We discuss relationships between the discourse of reasoning in the textbook and the discourses found in research and in the official curriculum.

Research has identified several aspects that influence students' transition to mathematics studies at university, but these aspects have often been studied separately. Our study contributes to the field's understanding of the transition between upper secondary and university mathematics by taking a multifaceted perspective not previously explored. We analyse experiences and attainment in mathematics of 154 engineering students with respect to known aspects of this transition, and our results show that it is important to consider several aspects together in order to understand the full complexity of the transition. It is revealed that students with previous experiences of university studies, when compared with new first year undergraduates, perceive a larger difference between studying mathematics at the upper secondary level and university. Our results also show that the engineering students enrolled in distance programmes experience larger differences between secondary and tertiary levels than engineering students enrolled in campus programmes. Furthermore, our analyses show that students' success in mathematics is related to their perceptions of the rift experienced in the transition. In all, our results highlight the importance of taking a student perspective in the development of explanatory and useful models of students' transition between upper secondary and university mathematics.

This presentation focuses on mathematics tasks that challenge students, which have proven beneficial for learning. Tension (as an opposite to cohesion) between different modes (e.g., words, symbols) can create such challenge. By using cohesion and tension as concepts to analyse students’ work on multimodal tasks, this study aims to identify characteristics in the task design that makes tudents develop understanding of the mathematics concept in focus. Preliminary results show that a high degree of cohesion can direct the attention of students to the intended tension. Also, the tension in a task, although relevant, can be too challenging for students, thus ignored, and make students rely too much on previous knowledge.

Curricula in many countries include mathematical reasoning as an aim, a competence or proficiency that students should acquire. This inclusion has been supported by wide dissemination of frameworks advocating reform that have arisen from the research community. We present the first part of a project aiming to investigate how ideas about reasoning originating in these frameworks are recontextualised in curricula, textbooks and classrooms. We analyse discourses about reasoning in three such frameworks, identifying how each characterises the nature of mathematical reasoning and the ways students are expected to relate to it. We also examine the extent to which reasoning is construed as a goal of mathematics education or as a means to achieving other goals. In this paper, we explain the methods used for analysing reasoning discourse and identify key findings from the analysis.

The purpose of this study is to examine the effects of a Swedish nation-wide professional development on participating teachers’ teaching practice and their knowledge, where collegial work, as a central part of the professional development, is taken into account as a factor to influence the outcome. We conducted statistical analyses (linear mixed models) on observational and interview data from a random selection of 105 teachers (grades 1–10/primary and secondary school). The results show effects on several aspects of teacher knowledge and teacher practice. However, the results show no connections between how the teachers have worked collegially and the observed changes in the teacher's knowledge and practice.

A reader of mathematical text must often switch between reading mathematical symbols and reading words. In this study, five different categories of structural connections between symbols and language, which invite such switches, are presented in a framework. The framework was applied in a study of Swedish mathematics textbooks, where 180 randomly selected pages from different educational stages were analyzed. The results showed a significant change in communication patterns as students progress through school. From a predomination of connections based on proximity found in year two, there is a gradual change to a predomination of symbols interwoven in sentences in year eight. Furthermore, more qualitative investigations of the different connections complemented the quantification, both through further explanations of the quantitative results, and through more examples of differences in communication patterns. The implications for readers of mathematics texts are discussed.

When mathematics tasks are used in multilanguage assessments, it is necessary that the task versions in the different languages are equivalent. The purpose of this study is to deepen the knowledge on different aspects of equivalence for mathematics tasks in multilanguage assessment. We analyze mathematics tasks from PISA 2012 given to students in English, German and Swedish. To measure formal equivalence, we examine three linguistic features of the task texts and compare between language versions. To measure functional equivalence, a Differential item functioning (DIF) analysis is conducted. In addition, we examine statistically if there is a relation between DIF and the differences regarding linguistic features. The results show that there is both DIF and differences regarding the linguistic features between different language versions for several PISA tasks. However, we found no statistical relation between the two phenomena.