This article addresses why instructors choose to not use inquiry-oriented instructional practices (IO-IPs) even if they believe the practices are beneficial. A national sample of undergraduate mathematics instructors (N = 269) responded to questionnaires on their use of IO-IPs, beliefs on student learning, and recognition of professional…

This study explores how past and present experiences with mathematics interact as teacher candidates engage in a series of critical inquiry and reflection opportunities embedded in a mathematics methods course. The study involved 28 teacher candidates enrolled in an undergraduate education program within a large university. Data were collected…

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

A well-designed assessment construct is critical for improving all aspects of quality education and validating the achievement of educational reform. The global prevalence of how teachers communicate learning intentions (LIs) and success criteria (SC) has been of great concern, particularly in the South African context. This study investigates how…

Three mathematics teacher educators who were assigned to teach fundamental concepts of algebra course in a teacher education college, as well as their prospective elementary mathematics teachers who took the course, took part in a job embedded, context-specific, and content-based comprehensive professional development (PD) program on assessment…

This study sought to investigate in-service mathematics teachers' knowledge of differentiated instruction in junior high schools in Tano South Municipality of Ghana. The study adopted an explanatory sequential mixed method design. We employed a sample of 50 JHS mathematics teachers comprising 41 general in-service teachers and 9 special in-service…

Logical reasoning as part of critical thinking is becoming more and more important to prepare students for their future life in society, work, and study. This article presents the results of a quasi-experimental study with a pre-test-post-test control group design focusing on the effective use of formalisations to support logical reasoning. The…

Today's schools are faced with increasingly complex demands of juggling their core educational tasks alongside multi-dimensional policy bids for reform, development and change. In this paper, we conceptualize our own RCT research on small-group tuition in mathematics in Norwegian lower elementary schools as a policy-relevant measure and part of a…

Geometric thinking affects success in learning geometry. Geometry is studied from elementary school to university level. Therefore, in higher education and basic education, it is necessary to carry out a systematic review in order to obtain tips for improving geometric thinking skills. A systematic review of geometric thinking was done in this…

This study focuses on the challenge of promoting significant mathematical discourse among preservice teachers. The study was conducted as part of an academic course that accompanies their practical training. Twenty-three math preservice teachers' learning process was examined as a result of using an analytic model designed for discourse protocols'…

The purpose of this study was to examine whether secondary student engagement was predictive of college attendance. Data were drawn from the High School Longitudinal Study of 2009 9th grade (n = 21,444) and 11th grade (n = 20,549) cohorts. Multilevel modeling was used to analyze whether demographic, academic, financial, and engagement variables…

When geometry teaching lacks elements of flexibility, inclusivity and accessibility, it is often difficult for learners to follow and understand what they are being taught. In line with this, this paper reports on the application of universal design for instruction (UDI) to guide flexible and accessible teaching of geometry to maximise learning.…

The overarching aim of this article is to exemplify and analyse how some algebraic aspects of equations can be theoretically explored and reflected upon by young students in collaboration with their teacher. The article is based upon an empirical example from a case study in a grade 1 in a primary school. The chosen lesson is framed by the…

To measure the procedural and conceptual knowledge of functions and to clarify the relationship between them in the context of mathematics education in Morocco, a structural equation modeling (SEM) analysis was used. In addition, correlation tests between students' grades at their Mathematical Analysis Assessments and their procedural and…

We present a question bank consisting of over 250 multiple-choice and true--false questions covering a broad range of material typically taught in an introductory undergraduate course in numerical analysis or computational science. The questions are ideal for polling students during lectures by means of a student response system that uses…