Background or Context: Teachers knowing their students is consequential for students' participation and learning. Evidence in mathematics education points to the ways that knowing the details of students' mathematical thinking supports teacher and student learning. What it means to know students and what teachers learn about their students are…

This research examined how pre-service mathematics teachers (PMTs) plan to support argumentation in their lessons about the hierarchical relationships among the quadrilaterals and what they notice during planning. The participants of this case study were eight pre-service middle-school mathematics teachers. Data consisted of the PMTs'…

The present study aimed to examine children's and adults' performance and strategies in volume estimations. Three tasks were designed and presented to 40 adults and 40 6th grade children who were asked to estimate: (a) the number of unit measures (bricks/rice spoons) that may be put in a container, (b) the quantity of bricks/rice, between two…

This study explored four middle-school mathematics teachers' provision of non-examples and instructional explanations in teaching rational numbers to seventh-grade students. The data sources were 8 lesson hours of observations conducted in four different classrooms. Yin's [(2018). "Case study research and applications: Design and…

In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT). Following a description of a framework that distinguishes between internal and external demands, we characterize the tension between these in terms of alignment, balance, and buffering, which collectively speak to coherence. We…

We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

There has been a limited amount of research that has attempted to determine teaching strategies using adaptive learning systems. Most studies have attempted to measure success of the use of these technologies based on improvements in students' test scores but have lacked to provide any information regarding the pedagogy implemented while using the…

Mathematical reasoning has been a critical concern in Turkey especially since the structure of the student selection examination for high schools changed six years ago. The ability to solve the questions in the new exam requires high level reasoning and argumentation skills. Schools, whether they are public or private, prepare 8th graders for this…

The lesson described in this article was developed and taught by a team of mathematics educators and physical therapists, with the shared goal of broadening students' perception of how mathematics concepts are applied in the real world. This lesson gives students authentic experience with the Gait Speed Test as a physical therapist would…

Mathematics seems abstract, difficult, and uninteresting to many students, which in turn reduces their interest in learning mathematics. It has been found that the use of ICT and meaningful contexts of problem-solving tasks can make learning mathematics more enjoyable and easier to understand for students. To increase students' interest in…

This study aims to understand teachers' opinions toward a framework of affect-focused mathematics teaching and its use in real and virtual classrooms. The participants were 11 school teachers from diverse backgrounds (mostly teaching mathematics). Before the interview, the teachers viewed an introduction to the framework and the teaching materials…

The poor performance of students in mathematics indicates that students need to acquire the necessary skills and knowledge required for solving mathematical problems. The study investigated the impact of information and communication technology (ICT) on gender differentials in mathematics performance among secondary school students in Kwara State.…

The New Zealand Curriculum is comprised of eight compulsory learning areas: English, the arts, health and physical education, learning languages, mathematics and statistics, science, social sciences, and technology. Collectively, these learning areas are intended to provide children with a broad and balanced education. Despite this, the…

The purpose of this quantitative ex post-facto study was to determine if differences exist in 4th-grade students' reading and math learning outcomes between co-taught classrooms and traditional classrooms in a Florida public school district. The study was conducted with archival data from the school district's fall and winter progress monitoring…

No matter whether privately or school-funded, if appropriately provided, tutoring is beneficial for students and to the educational culture of learning. And yet, we do not see it offered as a resource in all school settings to build equity in impacting all students and subjects. This qualitative case study aimed to examine the confidence, levels…