The current study is part of a comprehensive research on linking visualization, students' construction of geometrical concepts and their definitions, and students' ability to prove. The aim of the current study is to investigate the effect of learners' understanding of definitions of geometrical concepts on their understanding of the essence of…

Thinking development processes among high-school students is an important and significant issue that has been widely investigated (Leviathan, 2012; Ball, 1996; De Risi, 2015). A few studies discuss the development of mathematical thinking as this field contains additional difficulties to the traditional factors, teachers, students, and parents,…

This study sets for itself the task of constructing a learning trajectory for the fundamental theorem of calculus (FTC) that takes into account the interaction with an educational digital tool. Students were asked to explain the connections between interactive and multiple-linked representations in an educational digital tool, and to conjecture…

The instructional lab setting has been found to be dominated by prescribed tasks and pre-prepared lab kits. This was explained by teachers' need to guide students to simultaneously progress through a lab curriculum, which prompts them to standardize the lab experience. Nevertheless, prominent professional associations have persistently called to…

This study addresses the development and evaluation of the Physics Problem-Solving Taxonomy (PPST), comprising five levels: retrieval, diagnosis, strategy, conceptual, and creative thinking. The taxonomy draws on Bloom's revised taxonomy in the cognitive domain, the Types of Knowledge Taxonomy, and the Problem-Solving Taxonomy in engineering. The…

We present the second stage of a study within the context of geometry, whose aim is to investigate relationships between and influence of visualization, the concept images of students concerning geometrical concepts and their definition, and students' ability to prove. We focus on links between the understanding of the definition's role in…

This book contains a compilation of papers presented at the International Psychological Applications Conference and Trends (InPACT) 2023, organized by the World Institute for Advanced Research and Science (WIARS), held in International Psychological Applications Conference and Trends (InPACT) 2023, held in Lisbon, Portugal, from 22 to 24 of April…

Background: There is growing application of school-based screening to identify post-traumatic distress in students following exposure to trauma. The consensus method is based on self-report questionnaires that assess posttraumatic symptoms, functional impairment, depression or anxiety. Objective: The current research explored the possibility of…

Proof by mathematical induction is known to be conceptually difficult for high school students. This paper presents results from interviews with six experienced high school teachers, concerning the use of models in teaching mathematical induction. Along with creative and adequate use of models, we found explanations, models and examples that…

A questionnaire of out-of-school activities was developed to assess mathematical creative ability at four levels using a three-stage circular technique. Israeli high school students (n=139) reported whether they had performed the activities. Resulting data provided evidence of the construct validity of a 12-item scale for assessing creative…

A test with 1,446 high school students in Israel of a multidimensional model of adolescent drug use that incorporates sociodemographic variables, personality variables, cognitive variables, interpersonal factors, and the availability of drugs validated the model longitudinally. Results suggest that different legal and illegal substances share a…

There have been few discoveries in geology more important than "deep time"--the understanding that the universe has existed for countless millennia, such that man's existence is confined to the last milliseconds of the metaphorical geological clock. The influence of deep time is felt in a variety of sciences including geology, cosmology,…

This second volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents research reports for author surnames beginning Alc- through Hal-. Reports include: (1) How Do Your Students Think about Proof? A DVD Resource for Mathematicians (Lara Alcock); (2) Teachers' Conceptions of…