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…

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…

Project-based learning and action research are powerful pedagogies in improving science education. We implemented a semester-long course using project-based action research to help students apply biotechnology knowledge learned in the classroom to the real world. Students had several choices to make in the project: working individually or as a…

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.…

The teaching of research methods has been at the core of public administration education for almost 30 years. But since 1990, this journal has published only two articles on the teaching of research methods. Given the increasing emphasis on data driven decision-making, greater insight is needed into the best practices for teaching public…

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…

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…

A review of articles published in "Assessment and Evaluation in Higher Education," over the last eight years (2006-2013) on assessment in higher education, since the introduction of the Bologna process, is the subject of the paper. The first part discusses the key issue of assessment in higher education and the method used for selecting…

When the author returned to teaching after several years in graduate school, she came armed with knowledge and visions of a student-centered classroom. Her experiences in a doctoral program taught her much about effective mathematics instruction and rekindled her desire to teach. However, a student-centered classroom reflected a major shift in…

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…