Department of Science and Mathematics Didactics

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.

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.

Students with intellectual disabilities (ID) risk leaving school without having the opportunity to develop their independence to become less reliant on others. This study aims to gain insights into how formative assessment as a teaching design can support self-regulated learning (SRL) among students with ID. Two experienced Swedish special school teachers, using formative assessment to support students' SRL competence, participated in this study. Data consisted of the teachers' written teaching descriptions, classroom observations, and teacher interviews. The analysis showed that the teachers managed to implement a formative classroom practice aiming to support the students to develop subject-matter knowledge as well as SRL skills. Three themes of challenges were identified: Low expectations and caretaking, Experiences of shortcomings, and Learning difficulties. Overcoming such challenges is discussed. The study shows promising examples of the use of theories and principles of formative assessment to promote SRL competence among students with ID and also incentives for doing so.

Motivation is a prerequisite for students’ learning, and formative assessment has been suggested as a possible way of supporting students’ motivation. However, there is a lack of empirical evidence corroborating the hypothesis of large effects from formative assessment interventions on students’ autonomous forms of motivation and motivation in terms of behavioral engagement in learning activities. In addition, formative assessment practices that do have an impact on students’ motivation may put additional requirements on teachers than more traditional teaching practices. Such requirements include decisions teachers need to make in classroom practice. The requirements on teachers’ decision-making in formative assessment practices that have a positive impact on students’ autonomous forms of motivation and behavioral engagement have not been investigated. This study describes one teacher’s formative assessment practice during a sociology course in upper secondary school, and it identif...

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Behavioral engagement is a key determinant of students’ learning. Hence, knowledge about mechanisms affecting engagement is crucial for educators and stakeholders. Self-determination theory (SDT) offers a framework to understand one of these mechanisms. However, extant studies mostly consider only parts of SDT’s theoretical paths from basic psychological need satisfaction via regulations to student engagement. Studies that investigate the full model are rare, especially in mathematics, and results are inconclusive. Moreover, constructs are often merged in ways that may preclude detailed understanding. In this study, we used structural equation modeling to test several hypothesized paths between the individual variables that make up higher-order constructs of need satisfaction, regulations, and behavioral engagement. Satisfaction of the need for competence had a dominating effect on engagement, both directly and via identified regulation. Similarly, satisfaction of the need for relat...

It is well-known that a key to promoting students' mathematics learning is to provide opportunities for problem solving and reasoning, but also that maintaining such opportunities in student-teacher interaction is challenging for teachers. In particular, teachers need support for identifying students' specific difficulties, in order to select appropriate feedback that supports students' mathematically founded reasoning without reducing students' responsibility for solving the task. The aim of this study was to develop a diagnostic framework that is functional for identifying, characterising, and communicating about the difficulties students encounter when trying to solve a problem and needing help from the teacher to continue the construction of mathematically founded reasoning. We describe how we reached this aim by devising iterations of design experiments, including 285 examples of students' difficulties from grades 1-12, related to 110 tasks, successively increasing the empirical grounding and theoretical refinement of the framework. The resulting framework includes diagnostic questions, definitions, and indicators for each diagnosis and structures the diagnostic process in two simpler steps with guidelines for difficult cases. The framework therefore has the potential to support teachers both in eliciting evidence about students' reasoning during problem solving and in interpreting this evidence.