The aim of the study was to determine whether pre-service elementary mathematics teachers could write and use mathematical definitions. For this reason, the question sheet containing two questions, was given to 76 pre-service teachers in a public university who was taking general mathematics course. Qualitative research method was used during data…

The purpose of this quantitative, non-experimental, descriptive study was to determine if participation in project-based learning developed the understanding students need to transfer their knowledge and skills to achieve higher composite and reading scores, as well as demonstrate the ability to read increasingly complex texts on the ACT Aspire as…

In this paper, we describe an experience within mathematics teacher preparation that engages preservice teachers (PSTs) in Making and design practices that we hypothesized would inform their conceptual and pedagogical thinking. With a focus on the design of new tools to support mathematics teaching and learning, this Learning by Design experience…

The purpose of this study was to examine the influences of various facets of middle school mathematics teachers' practical rationality on their instructional decision making as they plan to enact the Common Core State Standards for Mathematical Practice, CCSS-MP1 (perseverance in problem solving) and CCSS-MP3 (communicating and critiquing). The…

Video games are a growing multi-billion dollar industry. Pew Internet & American Life Project (2008) reported that 97 percent of teens ages 12 to 17 years play computer, web, portable, or console games. Of the various genres that were reported, 36 percent of teens played role playing games and 21 percent played massively multiplayer online…

The use of multiuser virtual environments for educational purposes is in its infancy but offers potential for exploration of spatial contexts that could not otherwise be experienced. We report on pre-service teachers' experiences in designing learning activities as a result of immersion in the CAVE2™, a 320-degree, cylindrical 3D virtual…

This thesis explores two case studies into the use of short answers and self-explanation to improve student learning in physics. The first set of experiments focuses on the role of short answer questions in the context of computer-based instruction. Through a series of six experiments, we compare and evaluate the performance of computer-assessed…

Successful engineering graduates need to understand engineering principles and practices and be able to work in teams, to communicate well, and to work in contexts that can be risky and uncertain. Current trends in engineering education call for the development of students' technical and non-technical skills. Thus, it is crucial that tertiary…

Success in math is important to all students; it provides them with college and career options in the fields of science, technology, engineering, and mathematics. In the middle grades, students build upon the critical skills taught in elementary school and prepare for entry into algebra, which is considered a gateway to later achievement in school…

Recent years have seen the emergence of design-thinking and maker learning initiatives across formal and informal learning environments. A variety of offerings, from museum and afterschool programs, to STEM challenges and entrepreneurship courses, create opportunities for young people to develop skills relevant to today's workplace. Design-based…

This research focuses on students' tactic assessments of 3 correlations with illustrated 2-step strategic map and animated presentations in stoichiometry. The participants were divided into 2 learning groups: the experimental and the control group by quasi-experimental approach. Most of all, experimental group participants have been contingent on…

Over the years, researchers have focused on ways to facilitate creativity in the workplace by looking at individual factors and organizational factors that affect employee creativity (Woodman, Sawyer, & Griffin, [Woodman, R.W., 1993]). In many cases, the factors that affect creativity are examined independently. In other words, it is uncommon…

Many classical problems in elementary calculus use Euclidean geometry. This article takes such a problem and solves it in hyperbolic and in spherical geometry instead. The solution requires only the ability to compute distances and intersections of points in these geometries. The dramatically different results we obtain illustrate the effect…

The Bernoulli brothers, Jacob and Johann, and Leibniz: Any of these might have been first to solve what is called the Bernoulli differential equation. We explore their ideas and the chronology of their work, finding out, among other things, that variation of parameters was used in 1697, 78 years before 1775, when Lagrange introduced it in general.

Most educators claim that problem solving is important, but they take very different perspective on it and there is little agreement on how it should be taught. This article aims to sort out the different perspectives and discusses problem solving as a goal, a method, and a skill. As a goal, problem solving should not be limited to well-structured…