The design principles of cognitive load theory and learning by analogy has independently contributed to our understanding why an instruction will or will not work. In an experimental study involving 97 Year 9 Australian students conducted in regular classrooms, we evaluated the effect of the unguided problem-solving approach, worked examples…

Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

This paper pushes beyond current debates over what is being called the science of reading to articulate a multidimensional complex conception of what is entailed in reading comprehension. Reading comprehension entails not only cognitive processes, but equally important is how issues of identity along multiple dimensions, perceptions of tasks and…

The purpose of the present study is to examine the mathematical reasoning and the argumentation process of 7th-grade students during problem-solving and their views on this process. The case study method was employed in line with the purpose. The study group was determined by criterion sampling. Considering the criteria of students' scores on the…

In application-oriented mathematics, particularly in the context of nonlinear system analysis, phase plane analysis through SageMath offers a visual display of the qualitative behaviour of solutions to differential equations without inundating students with cumbersome calculations of the plane-phase. A variety of examples is usually given to…

This study explores opportunities to learn definite integrals in three widely used textbooks in the U.S. Definitions, worked examples, and exercise problems were coded using research-based cognitive resources in definite integrals. The results show that limited opportunities for students to explore multiplicative relationship between two…

One of the most difficult types of arithmetic word problems in primary school is compare problems. Among these problems, the most problematic are those in which the relational term is not consistent with the arithmetic operation required for the solution. This study investigates how 10-11-year-old primary school pupils' read and interpret compare…

To become proficient problem solvers, science and engineering students have to acquire the skill of self-regulating their problem-solving processes, a skill supported by their metacognitive abilities. The Disciplinary Learning Companion (DLC) is an online tool designed to scaffold students' use of metacognitive activities through…

A Chinese financial company, through the introduction of action learning methodology, identified core problems from strategy, and finally solved the core strategic problems by forming action learning teams of middle and senior managers, and in the process improved the mindset and capabilities of middle and senior managers. This account of Practice…

It is crucial nowadays to predict in a fast and simple manner physical-chemical behaviors like, the size-dependent optical properties of gold nanospheres (Au NSs). The idea behind this experiment is trying to replace (as much as possible) robust and expensive microscopy techniques with UV-vis spectrophotometry and friendly simulations. Students…

Moral decisions often involve dilemmas: cases of conflict between competing obligations. In two studies (N = 204), we ask whether children appreciate that reasoning through dilemmas involves acknowledging that there is no single, simple solution. In Study 1, 5- to 8-year-old US children were randomly assigned to a Moral Dilemma condition, in which…

Spatial thinking is essential for nurturing spatially literate graduates in tertiary education. However, there is limited research on individual differences in cognitive processes and their impact on spatial problem solving in disciplinary contexts. This study aimed to investigate cognitive processes involved in spatial thinking in geography…

The purpose of this study was to investigate the types of errors grade 10 students make in solving selected trigonometry problems. Another aim was to understand the origins of these errors that Students make when solving trigonometry problems. Another central purpose of the study was to provide instructional recommendations for addressing the…

The aim of this study was to examine how pre-service teachers performed in tasks related to three specific aspects of curricular noticing. The participants completed a two-part written task in which they solved three pattern generalization problems and sequenced them for teaching purposes. Inductive content analysis was used to analyze the…

Background: Based on the embodied cognition perspective, interdisciplinary hands-on learning combines several disciplines, such as science, technology, engineering and mathematics (STEM), to improve students' capacity to solve real-world problems. Despite the popularity of interdisciplinary hands-on learning, particularly the six-phase 6E model,…