Educators, researchers, and policy makers recognize that student participation in classroom mathematics conversations, especially explaining one's own thinking and engaging with others' ideas, can promote students' mathematics learning. However, precisely "how" participating in these ways supports learning has not often been examined in…

The act of explaining can help students to develop new understandings of mathematical ideas, construct rules for solving problems, become aware of misunderstandings or a lack of understanding and develop their mathematical communication. Their explanations can also offer opportunities for a teacher to understand more fully what the students are…

In this article, we report the findings of a study conducted with 6 Grade 8 students in the United States. The students posed stories for open number sentences involving addition and subtraction of integers. We analysed the stories posed by the students to build models that describe the conceptual structures behind these posed stories -- the…

The paper presents an attempt made to use the Arduino platform and the Scratch for Arduino (S4A) environment for the implementation of an educational project for 6th grade primary school students in a classroom attended by refugee, immigrants, and indigenous students. The aim was to investigate the opportunity to use educational robotics as tools…

Mathematical reasoning requires perseverance to overcome the cognitive and affective difficulties encountered whilst pursuing a reasoned line of enquiry. The aims of the study were: to understand how children's perseverance in mathematical reasoning (PiMR) manifests in reasoning activities, and to examine how PiMR can be facilitated through a…

Communities develop social languages in which utterances take on culturally specific situated meanings. As physics students interact in their classroom, they can learn the broader physics community's social language by co-constructing meanings with their instructors. We provide an exposition of a systematic and productive use of idiosyncratic,…

Online math videos for student learning are abundant; yet they are surprisingly uniform in their monologic, expository mode of presentation and their emphasis on procedural skill. In response, we created an alternative model of online math videos that feature the unscripted dialogue of secondary school students, who convey sources of confusion and…

This article focuses on students' perceptions of small-group activities, discussion, and technology-based interactivity implemented in two different learning environments, namely, in a large, traditional lecture hall and in a smaller classroom. The Engaged Learning Index, developed by Schreiner and Louis, was used along with several items to…

There has been much attention given to the use of technology in education; mostly concentrating on physical artifacts of technology to facilitate teaching delivery but little mentioning technology as a cultural resource to organize the learning environment promoting social interaction among students and between teacher and students. This paper…

For more than 100 years, case-based instruction (CBI) has been an effective instructional method for building problem-solving skills in learners. While class discussion is often included as part of the CBI learning process, the impact on learning is unclear. Furthermore, little research has focused on how specific facilitation strategies influence…

This study aims to discover undergraduate students' perceptions about the practice of critical consciousness in the classroom at Taif University, Saudi Arabia. The research also determines if there is a difference, by gender, among the undergraduate students' perceptions of the practice of critical consciousness in the classroom. Paulo Freire's…

Structured problem-solving lessons are used to explore mathematical concepts such as pattern and relationships in early algebra, and regularly used in Japanese Lesson Study research lessons. However, enactment of structured problem-solving lessons which involves detailed planning, anticipation of student solutions and orchestration of whole-class…

The purpose of the study was to investigate practicum students' perceptions of their experience with an online practicum course in an Applied School Psychology graduate program. With the use of synchronous and asynchronous communication technology, the instructor and students met in the online environment to engage in discussion with regard to…

Gestures are profoundly integrated into our communication. This study focuses on the impact that gestures have in a mathematical setting, specifically in an undergraduate calculus workshop. There was strong correlation between diagramming and the two types of gestures identified in this study (i.e., dynamic and static gestures). Dynamic and static…

Recent mathematics education reform calls for efforts to create collaborative and student-centered environments, where students have opportunities to reason and construct their understanding as part of a community of learners. Mathematics instruction should provide students opportunities to engage in mathematical inquiry and meaning making through…