In the realm of K-12 Education, the growing significance of Computational Thinking has sparked extensive inquiry into its nature and instructional methodologies. Despite a wealth of literature on the subject, ongoing debates persist regarding its fundamental components. Across global educational landscapes, Computational Thinking is being…

Productive struggle (PS) has emerged as a critical construct in mathematics education, emphasizing the importance of persistence, cognitive engagement, and conceptual understanding in problem-solving. However, inconsistencies in its conceptual and operational definitions have hindered its effective implementation and assessment. This study…

Research has shown that the types of tasks assigned to students affect their learning. Various authors have described desirable features of mathematical tasks or of the activity they initiate. Others have suggested task taxonomies that might be used in classifying mathematical tasks. Drawing on this literature, we propose a set of task types that…

Only knowledge is not sufficient to make students succeed in the world. Students need to attain 21st century skills like problem-solving, creativity, innovation, metacognition, communication etc. to endure in the modern world. Problem-solving skill is one of the fundamental human cognitive processes. Whenever students face a situation where they…

This article is concerned with how computer science, and more exactly computational complexity theory, can inform cognitive science. In particular, we suggest factors to be taken into account when investigating how people deal with computational hardness. This discussion will address the two upper levels of Marr's Level Theory: the computational…

In a seminal article published in 2006, Jeanette Wing described computational thinking (CT) as a way of "solving problems, designing systems, and understanding human behavior by drawing on the concepts fundamental to computer science." Wing's article gave rise to an often controversial discussion and debate among computer scientists,…

In this note we develop a framework that makes explicit the inherent dynamic structure of certain mathematical definitions by means of the four facets of context-entity-process-object. These facets and their interrelations are then used to capture and interpret specific aspects of student constructions of the concept of solution to first order…

The focus of the article is on the complex cognitive process involved in learning the concept of "straightness" in Non-Euclidean geometry. Learning new material is viewed through a conflict resolution framework, as a student questions familiar assumptions understood in Euclidean geometry. A case study reveals how mathematization of the straight…

Discusses specific learning strategy tactics for acquiring verbal knowledge basic to certain disciplines, procedural skills (reading, using language, and problem solving), and self-motivation techniques applicable to all types of learning situations. All three tactics are necessary for creating a well-structured knowledge base. Includes 21…

Although critical thinking is a pervasive educational objective, it remains inconsistently and imperfectly defined. The present paper attempts to sort out direct attempts at defining critical thinking. Such definitions are classified as representing one of three differing points of view: critical thinking as evaluation, critical thinking as…

Defines skills used in the reasoning process: problem solving, classification and organization, making reasoned judgments, and researching a subject. Lists Vermont's basic competencies in reasoning and notes that teachers and the community must accept the competencies of reasoning as legitimate educational concerns. (KC)

Defines creativity, recognizing both developmental continuities and discontinuities. Also distinguishes between creative interpretation and cognitive restructuring, emphasizing transformational abilities, and between perceptual and discretionary cognitive processes. (DR)

Appreciative inquiry (AI) is based on the heliotropic principle, which has been variously described as art and science, holistic theory and practice, and practical philosophy and change process. AI engages people and organizations in discovering what gives life to human systems when they are most effective and constructive and using that knowledge…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…