Umeå University's logo

This paper focuses a mathematics teacher’s implementation of formative assessment (FA) when helping students solve mathematics tasks. Such FA practice has great potential, but is non-trivial, and teachers will need substantial support for developing their beliefs and practices. We have studied why an engaged and experienced mathematics teacher who had participated in a comprehensive professional development program made certain changes but not others and how additional support helped her overcome obstacles she experienced. The study exemplifies the significance of first-hand information from teachers' classroom practices together with adapted feedback when providing professional development support for their FA development.

In the present study we investigate one 7th-grade mathematics teacher’s eight-month long implementation of a comprehensive multi-approach formative assessment practice. Based on an analysis of classroom observations, interviews and written teacher logbooks, this classroom practice is described in detail to illustrate how multi-approach formative assessments may be enacted in practice. Furthermore, based on the same data, we identify characteristics of formative assessment practices that have been argued to influence student motivational characteristics that affect motivation manifested as behavioural engagement and autonomous types of motivation. We also demonstrate that while the students in the two control classes (n = 9 in both classes) decreased their engagement in learning activities and became less autonomous in their motivation during this period, the students in the intervention class (n = 14) became more engaged and did not become less autonomous in their motivation.

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.

Understanding teachers’ conceptions of assessment is a key objective in supporting assessment practices that lead to improved learning outcomes. Thus, inventories capable of identifying teachers’ assessment conceptions are important. The Teachers Conceptions of Assessment (TCoA) inventory was an early and influential measure of teacher assessment conceptions, but replication studies have shown that the model may be affected by policy and practice context. In the present study, a Swedish adaptation of the TCoA was administered twice, 18 months apart. A sample of 249 teachers were matched across the 2 time-points and their self-reported scores were analysed with confirmatory factor analysis and invariance testing. With good correspondence to the data, six of the nine factors in the TCoA were completely replicated and one factor was partially replicated. The model had sufficient similarity between time points to permit mean score comparisons, which were largely equivalent between times. The study indicates that the Swedish Teacher Conceptions of Assessment adaptation can be used reliably in Swedish primary and lower secondary schools as measure of teacher conceptions of the uses of assessment.

The potential of using Assessment for Learning (AfL) is well established, but studies of AfL practice in groups of students with intellectual disabilities (ID) are rare. The respondents in this study were assistants and teachers working in compulsory school for students with ID. In a two-year project they had worked with translating five AfL key strategies (KSs) to fit their context. The study aimed at exploring this translation to depict the use of AfL KSs in the classes of students with ID and reveal opportunities and challenges. The AfL KSs were used to structure interviews and classroom observations, and an ensuing thematic data analysis. The overall conclusion confirms the potential of using AfL in this context. Three themes depict the overall use of AfL: a whole-class focus, a team approach, and the integrated use of the AfL KSs. Various themes characterise the implementation of each KS, and the opportunities and challenges. The findings implicate benefits for the students, and advantages as well as concerns for the staff. The findings are expected to be of value inside and outside the study’s context. The study demonstrates how contextual variation can contribute to new insights and questions for the AfL research field.

Research has shown that formative assessment can have large positive effects on student achievement, but the effects vary substantially and are not always positive. In addition, the underlying mechanisms responsible for the learning effects are not well understood. We present a framework developed to support research efforts to identify these mechanisms. The framework includes formative assessment processes as well as students’ learning processes, defines and exemplifies the term mechanisms in relevant contexts, indicates possible mechanisms, and identifies aspects that require further research to characterise and explain the mechanisms through which formative assessment affects student achievement. Finally, we exemplify how the framework may be used to design studies capable of providing the robust evidence required for drawing conclusions about the mechanisms.

Introduction: Teacher conceptions of feedback ideally predict their feedback practices, but little robust evidence identifies which beliefs matter to practices. It is logical to presume that teacher conceptions of feedback would align with the policy framework of an educational jurisdiction. The Teacher Conceptions of Feedback (TCoF) inventory was developed in New Zealand which has a relatively low-stakes, formative policy framework. Methods: This study surveyed 451 Swedish teachers working in Years 1-9, a policy context that prioritises teachers using multiple data sources to help students learn. The study used a translated version of the TCoF inventory, but isolated six items related to formative feedback practices from various factors. Results: A six-factor TCoF was recovered (Praise, Improvement, Ignore, Required, PASA, and Timely), giving partial replication to the previous study. A well-fitting structural equation model showed formative practices were predicted by just two conceptions of feedback (i.e., feedback improves learning and students may ignore feedback). Discussion: This study demonstrates that the TCoF inventory can be used to identify plausible relations from feedback beliefs to formative feedback practices.

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.

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 relatedness predicted identified regulation, that in turn predicted engagement. Satisfaction of the need for autonomy predicted intrinsic regulation as expected but, in contrast to theory, was also positively associated with controlled motivation (external and introjected regulation). Neither intrinsic nor controlled regulation predicted engagement. Theoretical and method-related reasons for this unexpected pattern are discussed, as well as implications for research and teaching.