Establishing and maintaining key mathematical practices in whole-class discussions, such as justifying claims, representing mathematical objects and making connections between the representations, is crucial to the development of students' mathematical competencies. The aim of this article is to investigate how and why the establishment of key…

Employability skills among engineering graduates have been a concern due to their inability to perform on a professional platform to the employer's expected level. As they are higher cognitive skills, they are to be nurtured during the graduation period. Keeping this in view, group discussions are identified as one of the methods to elicit…

This study aims to describe the constructive metacognitive activity shift of eleventh graders in solving a mathematical problem. Subjects in this study were 10 students in grade 11 of SMAN 1 Malang. They were divided into 4 groups. Three types of metacognitive activity undertaken by students when completing mathematical problem are awareness,…

Since the foundation of the Khan Academy (2006), a great deal of attention has been generated to the term "flipped classrooms" (also known as "reverse" or "backwards" classrooms), which is a (new) pedagogical movement that reverses the traditional paradigm of class lecture and homework. This approach subordinates…

Attending to precision (ATP) is essential in mathematics. This study examined ATP instances through the lens of univocal (functioning to convey information) and dialogic (functioning to generate new meaning) discourse. Analysis of data from five secondary mathematics classrooms focused on whole-class instances of ATP with coding based on the…

An English teacher and a math teacher collaborating to improve practices in classroom discussion develop a problem-solving method that steers students away from seeking simple solutions and into an understanding of the complexity and nature of problems.

On entering Mr. Wilson's seventh-grade classroom, the authors immediately noticed the students talking about mathematics and their teacher listening to them. To create an interactive learning environment that would stimulate and perpetuate discourse, Wilson discussed two main issues with his students: (1) What the students and teacher would do in…

The simple question of how much paper is left on my toilet roll is studied from a mathematical modelling perspective. As is typical with applied mathematics, models of increasing complexity are introduced and solved. Solutions produced at each step are compared with the solution from the previous step. This process exposes students to the typical…

This study aimed to create a constructivist learning environment wherein third-grade students talk to problem solve, which is different from traditional approaches to math learning. The study focused on the group talk and discussions to understand the students' actions and interactions during the process of problem-solving. Fifteen students and…

If the prospective students of probability lack a background in mathematical proofs, hands-on classroom activities may work well to help them to learn to analyze problems correctly. For example, students may physically roll a die twice to count and compare the frequency of the sequences. Tools such as graphing calculators or Microsoft Excel®…

This is a quasi-experimental study that explored the effects of reflective learning on prospective teachers' conceptual understanding, critical thinking, problem solving, and mathematical communication skills and the relationship of these variables. It involved 60 prospective teachers from two basic mathematics classes of an institution of higher…

Characterizing the modes of reasoning typically applied by students to solve different types of chemistry problems is of central importance for the design of instructional strategies that can better support their learning of specific content. Thus, the central goal of this study was to identify dominant modes of reasoning expressed by college…

Objective: The purpose of study was to investigate the impact of question prompts designed to guide students' focus on context-related issues as they solve problems in a web-based environment. Background: Online discussions integrated with collaborative learning were used to examine student interactions and behaviors in an online discussion.…

Case study instruction is characterized by centering instruction around the use of hypothetical classroom dilemmas. It uses descriptive stories and invites students to discuss application of course material as they engage in hypothetical classroom problem-solving and teacher decision-making. Teaching is a complex profession that requires high…

Argumentation incorporated into class discussions can improve students' problem solving skills and enhance their epistemic and conceptual understanding. Research indicates students sometimes need scaffolding such as goal instructions to improve their argumentation skills. This study examined the effectiveness of different types of goal…