This paper reports on a design-based implementation study of the use of a diagnostic classroom assessment tool framed on learning trajectories (LTs) for middle grades mathematics, where teachers and students are provided immediate data on students' progress along LTs. The study answers the question: "How can one characterize the challenges…

The purpose of this paper is to account for the advancement of questioning in mathematics education. Four sections focus on: (1) Importance of Questioning in Education (a historical perspective of questioning from the 1960s through the 1990s); (2) Cognitive Classification of Questions (Costa's Levels of Thinking, Webb's Depth of Knowledge, and…

This article highlights the main ideas that underlie the differences in potential pragmatic knowledge constructs students experience when solving problems, between the zone of proximal development (ZPD) and the zone of potential construction (ZPC). This qualitative research is based on a phenomenological approach to finding the meaning of things…

Technology-enhanced learning generally focuses on the cognitive rather than the affective domain of learning. This multi-method evaluation of the INBECOM project (Integrating Behaviourism and Constructivism in Mathematics) was conducted from the point of view of affective learning levels of Krathwohl "et al." (1964). The research…

One of the challenges of implementing a new curriculum is how to bridge the gap between the underlining principles of the curriculum and the cultural and social orientations of the society which includes teachers and students. This article reports on a study that explored how the cultural and social orientations of teachers and students can…

Research into the effectiveness of SPRING into Maths as a Tier 2 intervention is limited. This article aims to extend the evidence base for SPRING into Maths through reflective practice that links practitioner voice with theory. The article applies a theoretical lens to SPRING into Maths and provides insights into the journey of a group of…

The aim of this article is to discuss key elements of a constructivist-based elementary mathematics methods course and the role of each component in enhancing elementary school teacher candidates' mathematical understanding, interest in, and confidence with learning and teaching mathematics while decreasing their math-related anxiety and fear. The…

The study presented aims at searching the relation between the learning environment and students' performances in Mathematics. Data of the 27 week-long research were compiled from 9th grade students at an Anatolian High School. Semi-experimental research modelled pre-test post-test control grouped experimental model was used in the study. Before…

This qualitative study examines the challenges and supports inherent in a student-centered mathematics curriculum developed for a constructivist environment. Mathematics education faculty and special education faculty from a university college of education collaborated on this study to determine how students responded to specific components of…

The purpose of the study was to examine how action research informs instructional changes that need to take place in the middle grades mathematics classroom. There is a need for an increase in engagement in middle grades mathematics by educators being critically reflective of their instructional practices. The research question addressed in this…

In this paper, we put Basil Bernstein's theory of pedagogic discourse to work together with additional theoretical resources to interrogate knowledge and practice in mathematics teacher education. We illustrate this methodology through analysis of an instance of mathematics teacher education pedagogic practice. While the methodology itself is…

This study examined the non-verbal patterns of interaction within an intensive mathematics intervention context. Specifically, the authors draw on social constructivist worldview to examine a teacher's use of gesture in this setting. The teacher conducted a series of longitudinal teaching experiments with a small number of young, school-age…

Twenty-five years of teaching grades 8-12 mathematics has shown the author that students learn best when they can construct their own knowledge (constructivism) and that students, given appropriate guidance, can and will take on responsibility for their own learning (self-regulation theory). This article describes some classroom tools that she has…

In response to students' difficulties with algebra, many have advocated for algebraic thinking in elementary schools as a route to algebra. However, many studies show students' difficulties with algebraic thinking and teachers' challenges with creating a context that supports reasoning. This article presents a constructivist-grounded theory of…

A constructivist approach for teaching and learning mathematics was the foundation for a longitudinal study at Rutgers University in 1987 (Maher, 2011). One of the objectives of the longitudinal study was to provide an environment where students solve problems in collaborative groups (Maher, 2011). Videos from the longitudinal study are stored in…