The study was designed to support teachers on designing problem-posing tasks to understand students' mathematical learning. Seven classroom teachers and the researcher collaboratively set up a school-based team participating in an assessment project that assists teachers in implementing assessment integral to instruction. Four categories that the…

Our study concerns the analysis of teacher and student activities. Secondary school 6th grade students were confronted, for the first time, with solving equations. We used our cognitive models of students and experts (in algebraic calculations) for analyzing the teaching process and the cognitive functioning of students. Our model led us to…

This small exploratory case study describes an attempt to integrate the academic and practical aspects of a teacher education course in order to promote deep understanding of children's ways of understanding mathematics. The assessment regime of the course was used as a strategic tool for engaging students, and the assessment tasks themselves were…

Because of the importance of beliefs, mathematics educators need to consider ways to assess beliefs and belief change. Beliefs, because they must be inferred, can be difficult to measure, particularly with a common metric that enables one to compare individuals. Some limitations of Likert scales are identified and overcome in a newly developed…

Because cognition is the core substance of understanding and sense making, cognition-based assessment is essential for understanding and monitoring students' development of powerful mathematical thinking. The Cognition-Based Assessment System (CBAS) project is applying the results, theories, and methods of modern research in mathematics education…

This study posits that instructional representations are viable assessment tools of subject matter knowledge within the context of lesson study. Evidence is provided and validated, suggesting that representations provide valuable insights into the depth and accuracy of the knowledge prospective teachers bring to instructional settings. It is…

Assessment practices influence and are influenced by a number of educational as well as social factors. The present study looks at these practices of five primary teachers displayed in the mathematics classroom and in a relevant pedagogical discourse developed in the context of an interview. The results show that, on the whole, their practices…

The increased use of group work in teaching and learning has seen an increased need for knowledge about assessment of group work. This report considers exploratory research where the SOLO Taxonomy, previously used to analyse the quality of individual responses, is applied to group responses. The responses were created as part of an activity…

The study reported in this paper is an attempt to develop a comprehensive model of measuring problem solving and posing (PSP) skills based on Marshall's schema theory (ST). A battery of tests on PSP skills was administered to 5th and 6th grade Cypriot students (n=2519). The Rasch model was used and a scale was created for the battery of tests and…

In recent years metacognition has been receiving increased attention in mathematics education. Special attention has been focused on metacognition and its essential role in achievement settings. The basic difficulty of the study on the field of metacognition is to develop and use valid tasks in order to measure metacognitive ability especially for…