Mathematics educators advocate for the use of models as an instructional practice that can potentially aid in building students' understanding of difficult topics. Integers and integer operations are historically problematic for students and are critically important in both arithmetic and the future study of algebra. In this chapter, I explore one…

Some college students who experience discontent with the instructional experience engage in a complaining and problem-solving behavior called "instructional dissent." Three types of dissent have been identified: rhetorical, expressive, and vengeful. Student perceptions of "instructor power" influence if and how students…

This study aims to improve the ability of high-level thinking by developing learning models based on problems in senior high school students. The type study is research development. The subject of dissemination consists in 3 district/city in North Sumatera, namely: SMK Negeri 6 Medan, MAN Deli Serdang Distric and SMA Yapim Taruna Langkat Distric,…

The main goal of this paper is to show how Vasily Davydov's powerful ideas about the nature of mathematical thinking and learning can transform the teaching and learning of additive word problem solving. The name Vasily Davydov is well known in the field of mathematics education in Russia. However, the transformative value of Davydov's theoretical…

This article looks at writing tasks as a methodology to support learners' mathematical problem-solving strategies in the South African Foundation Phase context. It is a qualitative case study and explores the relation between the use of writing in mathematics and development of learners' problem-solving strategies and conceptual understanding. The…

The Physics Independent Learning (PIL) model is an authentic problem-based model designed teaching guide for improving self-directed learning and problem-solving skills in open and distance education. This research is aimed to analyze the validity and effectiveness of PIL model. This research was conducted using focus group discussions of experts…

The hypothesis that reduced accessibility to relevant information can negatively affect problem solving in a remote associate test (RAT) was tested by using, immediately before the RAT, a retrieval practice procedure to hinder access to target solutions. The results of 2 experiments clearly showed that, relative to baseline, target words that had…

The main objective of the research is to create and approbate a new way of reflection formation in future teachers, which would increase the level of classifying thinking to the theoretical one. The "Formation of equivalence groups" technique was modified to conduct the experiment. It was carried out both individually and in…

Chemical engineering problems often involve the solution of systems of nonlinear algebraic equations (NLE). There are several software packages that can be used for solving NLE systems, but they may occasionally fail, especially in cases where the mathematical model contains discontinuities and/or regions where some of the functions are undefined.…

The paper concerns an important but underappreciated genre of algorithmic puzzles, explaining what these puzzles are, reviewing milestones in their long history, and giving two different ways to classify them. Also covered are major applications of algorithmic puzzles in cognitive science research, with an emphasis on insight problem solving, and…

Literacy coaches are more effective when they have a clear plan for their collaborations with teachers. This article provides details of such a plan, which involves identifying a problem, understanding the problem, deciding what to do differently, and trying something different. For each phase of the problem-solving model, there are key tasks for…

The regular pentagon had a symbolic meaning in the Pythagorean and Platonic philosophies and a subsequent important role in Western thought, appearing also in arts and architecture. A property of regular pentagons, which was probably discovered by the Pythagoreans, is that the ratio between the diagonal and the side of these pentagons is equal to…

At the root of problem solving, Tishman and Clapp assert, is a sense of agency. The impetus to engage with a problem starts with a sense that it's possible to reshape something by directing one's actions purposefully. The authors--who participated in a long-term project observing how the "maker movement" is being implemented in…

Information literacy describes expertise in information problem-solving. This expertise includes facility in several endeavors addressed by the information behavior literature, including information needs, seeking, and use. Definitions and descriptions of information literacy suggest that this expertise is broadly applicable to a variety of…

The broader autism phenotype refers to sub-clinical autism spectrum disorder characteristics involving socially and emotionally aloof and rigid personality traits and social communication difficulties. Relatives of individuals with autism spectrum disorder, including parents, evidence an increased rate of broader autism phenotype. The goal of this…