Formative assessment and related processes continue to prove to be a high-leverage instructional practice that has potential to support all learners, especially those who demonstrate misconceptions with significant mathematics concepts. Teachers use formative assessment practices in varied ways and share different perspectives of the value of…

While noticing has received extensive attention from researchers with regards to pre-service and in-service teachers, there has been little research on how pre-service mathematics teachers respond to student thinking in the mathematical discussions. The aim of the study was to investigate pre-service mathematics teachers? (PSMTs) ways of…

LEGO® stop-motion animations were developed to engage first-year university students in the topics of matrices, vectors, linear geometry and linear transformations. LEGO® provided a versatile medium through which a wide range of concrete and abstract concepts could be physically demonstrated in both two and three dimensions. It was also familiar…

Problem posing has received increased attention among researchers and educators. One of the most important aspects is to understand the cognitive process of problem posing. In this study, we conceptualized a framework for the cognitive process of mathematical problem posing in three stages: (a) input--understanding the task, (b)…

Currently, masses of studies on mathematics learning getting to know have been discovered in numerous literatures supported by the use of blended learning model. This meta-analysis study aims at determining the overall effect of using blended learning. This study analyses 36 effect sizes from ERIC documents, Google scholar, and repositories from…

This study aimed to investigate seventh-grade students' visuospatial thinking processes in an art studio environment, where students were engaged with geometrically rich artworks. The students were asked to observe minimalist artworks, then create and critique their own and others' artworks based on the Studio Thinking Framework. Data were…

Fluency in math facts and procedures is critical for math achievement overall and often challenging for students with emotional and behavioral disorders to develop. This article describes how to implement two complementary and evidence-based practice strategies, incremental rehearsal and Cover-Copy-Compare, to build declarative and procedural…

This paper presents the ways that reflective questions were used to develop pre-service mathematics teachers' understanding of metric and topological spaces. In particular, the purpose of developing PSTs' understanding of metric and topological spaces is that understanding these mathematical concepts leads to PSTs' understandings on how to teach…

Purpose: This study was conducted to identify the relationship and influence of mathematics teachers' perception and readiness on the practice of critical thinking skills (CTS) in implementing pedagogical processes in secondary schools. Methodology: Participants of the study consisted of 226 mathematics teachers who taught in three different…

In this article, we examine how 10th graders make use of different intertwined representations when solving algebraic word problems. It is structured in a quantitative phase, with 61 students and a subsequent follow-up case study with nine pairs of students. We found that drawings and tables, used as auxiliary representations within variants of…

This paper investigates the quantitative literacy and reasoning (QLR) of freshmen students pursuing a Science, Technology, Engineering, and Mathematics (STEM)-related degree but do not necessarily have a Senior High School (SHS) STEM background. QLR is described as a multi-faceted skill focused on the application of Mathematics and Statistics…

Argumentative and proving skills are considered key competencies in mathematics. Collaborative learning activities, by fostering students' production of conjectures and arguments, could contribute strongly to the development of these skills. In this paper, we present the design of a e-learning collaborative environment, whose goal is to promote in…

The effective teaching and learning of mathematics through mathematical modeling and connecting mathematics to the real world has gained rapid growth at various educational levels all over the world. The growth in modeling practices in the United States of America (US) and the international community is the result of the development and…

Teacher responses to student mathematical thinking (SMT) matter because the way in which teachers respond affects student learning. Although studies have provided important insights into the nature of teacher responses, little is known about the extent to which these responses take into account the potential of the instance of SMT to support…

Mathematicians teaching at the university level have a deep understanding and appreciation for the mathematics that they teach. However, they rarely receive much formal training in teaching. Thus, university mathematicians must rely on their mathematical understandings and personally developed ideas of teaching to guide their decision-making.…