The Feuerstein Instrumental Enrichment (FIE) program was implemented in a primary school in New Zealand for 10 years old students with average educational ability. Targeted goals were to examine if the FIE program helped students to be less impulsive, plan well, and better in solving problems. The program started with 17 students for the first two…

Students are expected to use the Cartesian plane to represent and reason about mathematical concepts such as number systems, geometric figures, and functions. However, the simplicity of representing mathematical concepts that the Cartesian plane provides can cause us to overlook the difficulties many students have in constructing and using it.…

This article proposes that the reader be nourished by avant-garde elements for new educational practices in the teaching and learning of mathematics. The writing is based on an investigation that was carried out with high school students from Puerto Rico. From a qualitative paradigm with a research design in action, it was explored how students in…

It is often assumed that problem-based learning is an effective approach for fostering the development and/or improvement of students' critical thinking. To shed light on the connection between problem-based learning and critical thinking, this scoping review maps out how the notion of critical thinking is conceptualized in relation to…

There has been widespread interest in the study of oxoacids of phosphorus owing to their characteristic structures and uses in various areas of daily life. In this article, a new strategy is recommended to determine their structures. This strategy will help to develop problem-solving skills and creativity among students. The strategy is based on…

This paper presents 'expert opinions' on what should be taught in a first-year linear algebra course at university; the aim is to gain a generic picture and general guiding principles for such a course. Drawing on a Delphi method, 14 university professors--called 'experts' in this study--addressed the following questions: What should be on a…

Purpose: Analogical reasoning has been studied using a variety of tasks that generally required consideration of the relationship between the object and its integration to conclude an analog schema. The aim of this study was to describe the model of analogical reasoning schema based on some analogical problems. Research Method: In this study used…

We measure the effect of a single test practice on 15-year-old students' ability to solve mathematics problems using large, representative samples of the schooled population in 32 countries. We exploit three unique features of the 2012 administration of the Programme for International Student Assessment (PISA), a large-scale, low-stakes…

The article presents some examples of plane geometric variance of an area with the use of computer technology. These tools can offer teachers opportunities for adaptation and preparation of pedagogical presentations which will help students along the process of fruitful conjectures formation and eventually construction of formal deductive proofs.…

In the "Republic," Plato developed an educational program through which he trained young Athenians in desiring truth, without offering them any knowledge-education. This is not because he refused to pass on knowledge but because he considered knowledge of the Good as an ongoing research program. I show this by tracing the steps of the…

A Multi-touch table functions as a tablet, but allows multiple children to move around and manipulate the screen simultaneously. Using social cognitive theory (Bandura 1997) to analyze group dynamics, this study examined computer-supported collaborative learning. Children were observed and recorded for 20 min, three times a week for 5 weeks as…

Pictorial representations are often used to help children understand the situation described in a given number-sentence scheme. These static pictorial problems essentially attempt to depict a dynamic situation (e.g., one bird flies away while there are three birds still sitting on the fence). Previous research suggested that such pictorial…

The author examines select excerpts from John Dewey's writings on democracy, discusses the role of education in a democracy, and offers ideas on how to provide students with a democratic education.

This article presents a review of literature exploring five different perspectives on mathematical modeling in mathematics education. Because there is not a single agreed-on definition of what mathematical modeling is or how it should be done, a focused and extensive review of mathematical modeling is essential. The five broad classifications…

The article reflects upon the possibility of educating sensitivity to the pain of the different Other by using feature cinema. The authors rely on the methodology suggested by Stanley Louis Cavell and Andrew Klevan, and also on the suggestions and conclusions by William B. Russell, III and Stewart Waters. The authors of this article reflected upon…