The purpose of this research was to reveal how the construction process of symbolic representation and verbal representation made by students in problem solving. The construction process in this study referred to the problem-solving stage by Polya covering; 1) understanding the problem, 2) devising a plan, 3) carrying out the plan, and 4) looking…

In this paper, the knowledge dimension for Revised Bloom's taxonomy (RBT) is unpacked for integral calculus. As part of this work, the 11 subtypes of the knowledge dimension are introduced, and through document analysis of chapter 4 of the RBT handbook, these subtypes are defined. Then, by consulting materials frequently used for teaching integral…

When presented with a problem in mathematics class, students often function as problem performers rather than problem solvers (Rigelman 2007). That is, rather than understanding the problem, students focus on using an operation to complete it. Students' tendencies to act as problem performers can prevent them from suggesting problem-solving…

Purpose: Much has been written about self-regulated learning (SRL) (including mind-sets) in psychology and education, but little research is found in the HRD or training literature regarding the stimulation of this learning. This paper aims to present a practical training tool, performance templates (P-T), to demonstrate how a line manager may…

This article presents a teaching proposal that emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. More concretely, these concepts were introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was designed after observing architecture students…

How might engineering technology students make use of patent information in the engineering design process? Librarians analyzed team project reports and personal reflections created by students in an undergraduate mechanical engineering technology design course, revealing that the students used patents to consider the patentability of their ideas,…

Problem solving is one of the main competences we seek to teach students at school for use in their future lives. However, when dealing with mathematical problems, teachers encounter a wide variety of difficulties. To foster students' problem-solving skills, the authors developed "strategy keys." Strategy keys can serve as material to…

It is not every day that a former student greets a teacher with, "Your course changed my life." The authors are the professor and student of the transformative course. Alicia Gonzales wanted to understand how to work with students to co-construct an environment where persistent problem solving in a technologically rich classroom was the…

While a wide range of approaches and tools have been used to study children's creativity in school contexts, less emphasis has been placed on revealing students' creativity at university level. The present paper is focused on defining a tool that provides information about mathematical creativity of prospective mathematics teachers in…

Problem solving is highlighted in many mathematics curricula and has recently become one of the most investigated topics in the field of mathematics education. Extensive studies report that developing students' problem solving skills enhances their understanding of mathematics. Therefore, there is a focus on investigating problem solving processes…

How do experienced school psychologists solve problems in their practice? What can trainers of school psychologists learn about how to structure training and mentoring of graduate students from what actually happens in schools, and how can this inform our teaching at the university? This qualitative multi-interview study explored the processes…

Identifying educational competencies for the 21st workplace is driven by the need to mitigate disparities between classroom learning and the requirements of workplace environments. Multiple descriptors of desired 21st century skill sets have been identified through various wide-scale studies (e.g., International Commission on Education for the…

In this article we study the conceptions of an American and a French group of undergraduate pre-service teachers regarding the concept of independent events. Specifically, we study the role that intuition plays in their answers, ascertain the presence of probabilistic biases, and compare the findings with previous results collected on a different…

The positive correlation between spatial ability and mathematical ability has been well-documented, but not well-understood. Examining student work in spatial situations that require numerical operations provides us with insight into this elusive connection. Drawing on student work with angle, length, volume, and area, we examine the ways in which…

"Taking the Lead" outlines 10 practical and powerful roles for school-based coaches responsible for helping teachers increase their capacity to serve all students. The second edition is a rich update to Killion and Harrison's essential resource and includes dozens of online tools that support deep exploration and implementation of the…