For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject…

The starting reasoning and promoting switch from intuitive system 1 to deliberate system 2 for provoking creative thinking is lacking feasible model, especially during the global pandemic. We established a visible, trainable and learnable (VTL) model with digital technique to promote this dual switch for creative thinking. This study was…

Background/purpose: The increasing integration of digital technology in education underscores the need for instructional models that support personalized, skill-based, and problem-solving focused learning. While traditional pedagogies often fail to address these needs comprehensively, this study proposes that the Mastery Adaptive Problem-Solving…

The aims of university System Dynamics (SD) programs include the mastery of systems thinking skills, modeling skills, and/or application to solving real-world, dynamic, complex problems. Existing research has articulated learning sequences of what learners should know and be able to do, and when. It is called the competence development framework…

Understanding a student's problem-solving strategy can have a significant impact on effective math learning using Intelligent Tutoring Systems (ITSs) and Adaptive Instructional Systems (AISs). For instance, the ITS/AIS can better personalize itself to correct specific misconceptions that are indicated by incorrect strategies, specific problems can…

Problem-solving ability is a fundamental skill that students must develop in science education. However, many students continue to face challenges in mastering this competence. This study aims to develop a valid, practical, and effective science learning module to enhance students' problem-solving skills. The research adopts a Research and…

This study assessed the combined effects of students' achievement goal orientations (performance-approach goal and mastery-approach goal) and contextual factors (goal structures and task difficulty) on their performance. Researchers first asked 313 junior students about their achievement goal orientations and then randomly assigned them to one of…

In most mathematics textbooks, each lesson is followed by a set of homework problems in one of two ways -- blocked practice and mixed practice. Additionally, most mathematics textbooks rely on a common learning strategy called overlearning, that is, mastering a skill and continuing to practice this same skill. This study investigated the effects…

An Integrated Curriculum Design (ICD) is a strategy to unite core degree courses. Specifically, an ICD is the authentic integration of courses into a learning unit that fosters a better understanding across curricula. As such, an ICD involves the integration of content with skills and processes. The goal is to support deep learning and facilitate…

Microlearning is gaining ground in the higher education domain. Despite this trend, there is a lack of evidence of effectiveness when a large number of microlearning units are grouped to form a macrolearning programme. The purpose of this paper is to explore how and why a macrolearning affects students' self-efficacy. The originality of this paper…

For students to advance beyond arithmetic, they must learn how to attend to the structure of math notation. This process can be challenging due to students' left-to-right computing tendencies. Brackets are used in mathematics to indicate precedence but can also be used as superfluous cues and perceptual grouping mechanisms in instructional…

This Spotlight explores effective strategies for improving math instruction and enhancing student achievement in K-8 classrooms. From making math more relevant and engaging and mastering word problem-solving to deepening conceptual understanding of fractions and nurturing students' ability to tackle challenges, these articles offer valuable…

Successive relearning involves practicing to-be-learned content until a designated level of mastery is achieved in each of multiple practice sessions. As compared with practicing the content to the same criterion in a single session, successive relearning has been shown to dramatically boost students' retention of simple verbal materials. Does the…

This article is an advanced theoretical study as a result of a chapter from the first author's PhD study. The aim of the article is to discuss the relationship between commognition and the Van Hiele theory for studying discourse during Euclidean geometry problem-solving. Commognition is a theoretical framework that can be used in mathematics…

Reasoning for complexity is a fundamental competency in these complex times for solutions to social problems and decision-making. The purpose of this paper is to demonstrate the validity and reliability of the eComplexity instrument by presenting its psychometric properties. The instrument consists of a Likert-type scale questionnaire designed to…