This study investigates when and how awareness of knowledge gaps (AKG) manifests by observing the problem-solving phase of the educational approach known as problem-solving followed by instruction (PS-I). By comprehensively exploring cognitive and metacognitive process of learners during this phase and categorizing students' judgements of…

Mathematical beliefs and metacognitive knowledge play significant roles in solving mathematical problems; thus, this study aims to investigate the influence of middle school students' beliefs on their metacognitive knowledge when solving geometry problems. This study utilizes both quantitative and qualitative research methods. A linear regression…

Mathematics teacher candidates enter teacher education with knowledge that could support or limit their learning. It is therefore important to gain insights of this knowledge to inform teacher education. This paper offers such insights for prospective mathematics teachers' initial knowledge of problem solving (PS) for teaching at the beginning of…

Background: Invasion team sports such as soccer require teams and individual players to understand the game and problem solve. One aspect of problem solving that has recently been more prominent in team sport literature is the role of metacognition. Purpose: The purpose of the current study was to examine how high-level youth soccer players…

Supporting students in becoming effective problem solvers is a critical component of K-12 mathematics instruction. Unfortunately, little is known about the factors that are related to problem solving proficiency in middle school students. We report the results of a study that employed a hierarchical linear regression analysis to examine the…

Self-regulated learning (SRL) has been linked to improved learning and corresponding learning outcomes. However, there is a need for more precise insights into how SRL during learning contributes to specific learning outcomes. We operationalised four learning outcomes that varied on two dimensions: structure/connectedness and level/deepness of…

This study highlights the importance of metacognitive awareness of economics students and examines the relationship between Problem-Based Learning (PBL) and Metacognitive awareness among economics students. This research was conducted in the Faculty of Economics, Universitas Negeri Malang of Indonesia by employing economics students as the subject…

When, how, and why students use conceptual knowledge during math problem solving is not well understood. We propose that when solving routine problems, students are more likely to recruit conceptual knowledge if their procedural knowledge is weak than if it is strong, and that in this context, metacognitive processes, specifically feelings of…

Metacognition, often used as a component of reading strategy instruction, has two dimensions - knowledge about cognition and regulation of cognition. Though many studies explore the connection between metacognitive strategies and development of reading comprehension abilities, not many examine how the two dimensions of metacognition interact to…

Previous studies of integral calculus have mainly explored students' conceptual and procedural knowledge; only a few have focused on students' metacognition in relation to integral calculus. The study reported here explored students' metacognitive knowledge of integral calculus by interviewing nine first-year university and eight Year 13 students.…

The purpose of this study is to investigate a mathematically gifted student's self-regulation behaviours while constructing and consolidating mathematical knowledge. However, the objective is to determine which self-regulation strategies influence this student's mathematical abstraction process. The case study method was used in the research. As…

We examined the influences of pre-solving pause time, algebraic knowledge, mathematics self-efficacy, and mathematics anxiety on middle-schoolers' strategy efficiency in an algebra learning game. We measured strategy efficiency using (a) the number of steps taken to complete a problem; (b) the proportion of problems completed on the initial…

With the continuous development and innovation of information technology, virtual reality (VR) has become an important topic of education technology in recent years. VR is not only applied in many industries, but is also used by scholars for education applications as it enables students to have an immersive learning experience to enhance their…

In this paper, the knowledge dimension for Revised Bloom's taxonomy (RBT) is unpacked for integral calculus. As part of this work, the 11 subtypes of the knowledge dimension are introduced, and through document analysis of chapter 4 of the RBT handbook, these subtypes are defined. Then, by consulting materials frequently used for teaching integral…

The purpose of this article is to determine the levels of understanding for solving Stoichiometry problems from the aspect of macroscopic, microscopic and symbolic representations of high, average and low achieving students after infusion of metacognitive skills. Nine form four students aged sixteen years old from a secondary school in Kuala…