With the nationwide focus on increasing students understanding and use of technology, many teachers are beginning to incorporate a variety of technology into small group rotations. However, the use of technology during these rotations often does not require students to use higher level thinking or problem solving skills. By eliminating the…

The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A three­week long solution process by a pair of ninth­-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…

It is now well known that fractions are difficult concepts to learn as well as to teach. Teachers usually use circular pies, rectangular shapes and number lines on the paper as teaching tools for fraction instruction. This article contributes to the field by investigating how the widely used three external graphical representations (i.e., circle,…

The subject of the article is usage of modern computer technologies through the example of interactive geometry environment Geogebra as an innovative technology of representing and studying of geometrical material which involves such didactical opportunities as vizualisation, simulation and dynamics. There is shown a classification of geometric…

Engineering-based modeling activities provide a rich source of meaningful situations that capitalize on and extend students' routine learning. By integrating such activities within existing curricula, students better appreciate how their school learning in mathematics and science applies to problems in the outside world. Furthermore, modeling…

This response to Peterson's (2014) "Nonviolent Action as a Necessary Component in Educating for Democracy" enlarges the discussion of the role of the teacher/educator in deciding whether or when it is responsible to facilitate the engagement of students in acts of nonviolent dissent. Ultimately it would seem that the most important of…

This paper aims to explore the educative power of an experienced mathematics teacher educator-researcher (MTE-R) who displayed his insights and strategies in teacher professional development (TPD) programs. To this end, we propose a framework by first conceptualizing educative power based on three constructs--communication, reasoning, and…

Feedback is a ubiquitous learning tool that is theorized to help learners detect and correct their errors. The goal of this study was to examine the effects of feedback in a classroom context for children solving math equivalence problems (problems with operations on both sides of the equal sign). The authors worked with children in 7 second-grade…

Findings from the fields of cognitive science and cognitive development propose a variety of evidence-based principles for improving learning. One such recommendation is that instead of having students practice solving long strings of problems on their own after a lesson, worked-out examples of problem solutions should be incorporated into…

The Finnish curriculum for crafts emphasises the creative problem-solving skills of the student, the completion of different design tasks and the implementation of designs, while seeking to nurture the student's self-esteem. Furthermore, students should draw up the designs for their artefacts, plan their work, and also develop designs when needed.…

Problem-based Learning (PBL) approach has been widely used in various disciplines since it is claimed to improve students' soft skills. However, empirical supports on the effect of PBL on problem solving skills have been lacking and anecdotal in nature. This study aimed to determine the effect of PBL approach on students' problem solving skills…

Creative thinking is important to scientists and engineers as they frame their work and engage in the practices of their fields. Elementary-age children need opportunities to think about and develop an idea from its inception through to its conclusion to expand their thinking and engage in scientific processes. Generating and expanding on ideas…

In this article Sarita Cargas suggests that getting honors students used to analyzing controversies will contribute to their developing a disposition toward critical thinking. She goes on to say that the value of teaching critical-thinking skills complements the movement of many honors programs toward teaching more than just disciplinary content.…

Continued agricultural productivity hinges on understanding how to manage soil resources. A 2-week undergraduate introductory-level module: "A Growing Concern: Sustaining Soil Resources Through Local Decision Making" was collaboratively developed through the InTeGrate Project. InTeGrate modules and courses engage students in grand…

This paper presents the findings of a small-scale study that investigated the issues and challenges of teaching and learning about quantitative reasoning (QR) within a project-based learning (PjBL) context. Students and teachers were surveyed and interviewed about their experiences of learning and teaching QR in that context in contrast to…