This small-scale study explored the presence of collaborative metacognitive talk (CMT) during collaborative problem solving (CPS) in a Scottish primary mathematics class. Content analysis was conducted on student and teacher group interactions during CPS (n = 12 students in 3 groups × 3 sessions). The largest proportion of CMT was…

This empirical paper reports on the development of a professional development initiative, namely the word sum-wheel, which teachers developed collaboratively. The study's objective was to determine how teachers' mathematics word problem-solving instruction could be enhanced through the development of the word-sum wheel using participatory action…

Extension professionals are being asked to address complex public issues. Doing so requires cocreative approaches that engage, in a significant way, the people affected by these issues. Successful engagement, however, requires specific skills and a cocreative mind-set. Extension professionals in two states participated in learning circles to…

Contribution: This study identifies the types of interaction that contribute to student learning with student-led tutorials (SLTs). The quality of these interactions include peer discussion, student tutor presentation, joint reasoning, and constructive feedback. Background: The introduction of SLTs in an advanced electromagnetics bachelor course…

This chapter focuses on effective preparation for civic reasoning, discourse, and problem solving. It reviews literatures, including major synthetic reviews and studies from the science of learning and development (SoLD), civics education, and mathematics education. Based on these reviews, the authors make the case for a more comprehensive form of…

Collaborative learning requires a structured and open environment where individuals can actively exchange and elaborate their ideas to achieve a high-quality problem-solving solution. The use of concept map has been extensively implemented to facilitate idea generation and maintain shared focus during discussion. This study employs the Reciprocal…

As digital games become more integrated into education, striking a balance between technology and pedagogy is essential. This study investigates digital games as contexts for problem-based learning (PBL) to actively involve students in problem-solving in a Korean middle school. This study examined two cases (Social Studies and Science) where…

Motivation: This research investigates the transformative impact of integrating AI into mathematics education, aiming to enhance students' conceptual understanding and self-efficacy. It addresses the crucial need for innovative teaching methods in response to contemporary challenges in education and aims to fill gaps in understanding the potential…

Mathematical Communication Skills (MCS) refer to the students' ability to (1) arrange and link their mathematical thinking through communication; (2) communicate their logical and clear mathematical thinking to their friends, teachers, and others; (3) analyze and assess mathematical thinking and strategies used by others; and (4) use mathematical…

A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…

Peer Instruction (PI), a student-centred teaching method, engages students during class through structured, frequent questioning, facilitated by classroom response systems. The central feature of PI is the ConcepTest, a question designed to help resolve student misconceptions around the subject content. Within our coordination chemistry PI…

This paper explores how learning analytics data provided by a math problem-solving educational technology platform informed 5th and 6th grade teachers' instructional decisions around socioemotional learning (SEL). MathSpring is an educational technology tool that provides teachers with data on students' effort, progress, and emotions while…

Collaborative problem-solving (CPS) has become an essential component of today's knowledge-based, innovation-centred economy and society. As such, communication and CPS are now considered critical 21st century skills and incorporated into educational practice, policy, and research. Despite general agreement that these are important skills, there…

The purpose of this article is to demonstrate how exponential functions and patterns can be taught by well-structured lessons composed of classroom activities, mathematical questions, discussions, and solving problems. Sawyer (1943) used a rope-and-post system to introduce the concept of logarithms and to calculate a product by adding the…

There has been an ongoing discussion about the role and level of teacher scaffolding in developing student agency while also meeting intended learning outcomes in inquiry-based science classrooms. This study investigates how teachers practice classroom talk to scaffold students' learning through the inquiry process and how teacher authority and…