Feedback is an essential form of communication between the student and teacher. Research has documented the importance of feedback in advancing student mathematical and critical thinking, with renewed recommendations to provide and use feedback in mathematical instruction during the era of COVID-19. Giving personalized feedback in an online…

Tertiary mathematics educators have been shifting towards an active learning approach to teaching. Many external factors support or hinder their transition towards evidence-based instructional practices, including, of recent international interest, the physical learning spaces. In this study in the U.S., I observed and interviewed instructors of…

We present a case of one teacher's engagement in project-based learning for algebra I students. This teacher was a member of a cohort of mathematics teachers and career technical educators who participated in a two-week intensive summer institute investigating autonomous vehicles. During the academic year, the follow up support for these educators…

Manipulative-based instructional sequences--including both concrete and virtual manipulative instructional sequences--are evidence-based or research-based mathematical interventions for students with disabilities. However, as options for manipulative-based instructional sequences increase, educators need support in deciding the best approach. In…

Researchers and practitioners alike often look to meta-analyses to identify effective practices to use with students with disabilities. The number of meta-analyses in special education has also expanded in recent years. The purpose of this systematic review is to evaluate the quality of reporting in meta-analyses focused on mathematics…

Since one of the main goals of teaching geometry is to provide students with the opportunity to develop spatial reasoning, it is important to find the most suitable support for learning 3D geometry in elementary school. This paper compares Information and Communication Technology (ICT) and physical manipulatives support, with the aim to answer if…

Over half a century has passed since Bruner suggested his three-stage enactive-iconic-symbolic model of instruction. In more recent research, predominantly in educational psychology, Bruner's model has been reformulated into the theory of instruction known as concreteness fading (CF). In a recent constructivist teaching experiment investigating…

This report is about how a group of U.S. teachers (N = 98) and researchers used a boundary object in a collective study of grades 6-8 mathematics instruction. The focus is the teachers' engagement with a framework for effective instructional practices. Using qualitative content analysis of teachers' responses to use of the framework, we assessed…

Teachers' beliefs, knowledge, and decisions can affect the way teachers teach, and, consequently, what students learn. Self-efficacy beliefs may also interact with beliefs about the most appropriate and effective teaching and the selection of instructional practices to implement. We examined the relationships among teachers' mathematics…

This study aims to obtain a picture of the perception of mathematics teachers related to students' mathematical problem-solving abilities. This research method is qualitative research with a case study approach. The subject of this research is a mathematics teacher in Sumatra. A total of 32 mathematics teachers were involved in this study. The…

Making accurate judgements and interpretations about student growth and progress in mathematics can be problematic when using open-ended assessments. This study reports on the development of a class-based assessment instrument and marking key designed to assess Year 2 students' mathematics competence to reflect their learning of mathematics…

Mathematics self-efficacy is considered an important variable in mathematics education because of its links to mathematics achievement. This paper reports on the development of the "Self-efficacy-effort in Mathematics Scale" (SEEMS), an instrument that has strong theoretical and psychometric properties. Based on a sample of n = 224…

The use of manipulatives to develop conceptual understanding appears to be a prevalent practice in many mathematical learning experiences, particularly in the early years of schooling. This study evaluates the impact of mathematical manipulatives on young children's attitudes towards mathematics (YCATM). The modified three-dimensional model of…

Prospective secondary mathematics teachers in Australia are typically taught by mathematics educators and mathematicians who work in different faculties and seldom collaborate--a situation that can lead to conflicting views about how to teach mathematics. This paper reports on findings from semi-structured interviews with three mathematics teacher…

The purpose of this study was to investigate the understanding of prospective elementary mathematics teachers of the formal definition of the limit of a sequence. The participants were 32 prospective mathematics teachers (8 male and 24 female) who were in their third year of study in a four-year mathematics teacher preparation programme Istanbul…