We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

Video instruction has been widely studied and is generally considered as effective as live instruction for teaching scientific concepts and procedures. However, there is limited research on the effectiveness of prerecorded videos for teaching more challenging content. This study conducted a controlled experiment on over 300 high school students to…

In mathematics classrooms, it is common practice to work through a series of comparable tasks provided in a textbook. A central question in mathematics education is if tasks should be accompanied with solution methods, or if students should construct the solutions themselves. To explore the impact of these two task designs on student behavior…

Objective: The purpose of this study was to examine the perspectives of English as a Foreign Language Special Education teachers (EFLSE) regarding game-based learning approaches for addressing behavioral disorders in ADHD patients. Method: The study involved a sample (n = 131) of EFLSE teachers who completed a questionnaire to determine how…

When students are solving problems they often turn to examples when they need assistance. Examples are helpful because they illustrate how a problem can be solved. However, when examples are very similar to the problems, students default to copying the example solutions, which hinders learning. To address this, prior work has investigated the…

Can using mindfulness/contemplative practices help students become mindful, focused, and present in the mathematics classroom? In this study, mindfulness/contemplative practices were used in the mathematics classroom to determine if students were encouraged to be mindful, focused, and present or engaged in problem solving. During class time,…

It may sound strange, but in today's mathematics classroom, teachers are encouraged to have students struggle. This struggle, however, is not what might come to mind upon first hearing the word. The struggle I refer to here is what researchers have termed "productive struggle," which is present when students must persevere in solving…

The hammer-and-nail phenomenon highlights human tendency to approach a problem using a tool with which one is familiar instead of analyzing the problem. Pedagogical suggestions are offered to help students minimize their mathematical impulsivity, cultivate an analytic disposition, and develop conceptual understanding.

Mathematical problem-solving is a core content of primary school education. Therefore, it is necessary to provide all students with a meaningful way of acquisition of problem-solving skills. The objective of this research was to verify the effectiveness of a problem-solving routine based on the Pólya's model and the use of cognitive strategies…

Mobile eye-tracking research has provided evidence both on teachers' visual attention in relation to their intentions and on teachers' student-centred gaze patterns. However, the importance of a teacher's eye-movements when giving instructions is unexplored. In this study we used mobile eye-tracking to investigate six teachers' gaze patterns when…

This study aims to explore the validity of measuring joint attention through gaze coordination in computer-supported collaborative learning (CSCL) research. Gaze coordination, aligning visual attention in social contexts, aids comprehension and communication. Many CSCL researchers use gaze coordination to gauge joint attention quantitatively.…

Teaching and learning mathematics in an elementary classroom is a complex process in negotiating a balance in encouraging participation, responding to students, making connections between interactions, and planning for upcoming interactions. In a search for instructional models and structures that support and encourage student engagement in…

A solid understanding of fractions is the cornerstone for acquiring proficiency with rational numbers and paves the way for learning advanced mathematical concepts, such as algebra. Fraction difficulties limit not only students' educational and vocational opportunities but also their ability to solve everyday problems. Students who exit 6th grade…

Logical reasoning is very important in the child's development, increasing their performance in learning as a whole, improving their concentration and decision-making when solving problems. The introduction of this tool and stimulus from the first years of education is necessary for children to grow up with a broad and more critical view, being…

Mathematical paradoxes often produce awe and wonder in the mathematics classroom. In this classroom episode, I share a paradoxical task, based on Simpson's Paradox, and its power as an intervention for a child diagnosed with ADHD. The Paradox leveraged his strengths to help him build understandings in proportional reasoning.