According to our approach to mathematics education, the optimal aim of the teaching of mathematics is to assist students in achieving efficient mathematical work. But, what does efficient exactly mean in that case? And how can teachers reach this objective? The model of Mathematical Working Spaces with its three dimensions--semiotic, instrumental,…

The purpose of this study is to investigate characteristics of limit concepts through the simultaneous use of historical and experimental epistemologies. Based on a historical epistemology which is an investigation of historical developments in a mathematical concept raised in the history of mathematics, four different developments of limit…

This article reports on an empirical exploration of the relations and strengths among Turkish grades 9-11 students' (n = 209) personal epistemologies (justification of knowledge, certainty of knowledge, source of knowledge, development of knowledge), self-regulated learning (extrinsic motivation, intrinsic motivation, rehearsal, elaboration,…

This study is an evaluative analysis of 13 Music Education programs in Colombia that provide training for secondary school music teachers for 6th to 11th grade in the Colombian education system. The study utilized an analysis matrix from the International Research Project ALFA II-0448-A, which developed a similar study with Latin American and…

Epistemic beliefs are deeply held convictions about the nature of knowledge, knowing, and learning. In this study, approximately 500 ninth and tenth-grade physical education (PE) students completed fitness-specific measures assessing their epistemic beliefs in the simplicity and stability of knowledge and the speed of its acquisition along with…

This paper reports a cross-grade comparative study of Chinese precollege students' epistemological beliefs about physics by using the Colorado Learning Attitudes Survey about Sciences (CLASS). Our students of interest are middle and high schoolers taking traditional lecture-based physics as a mandatory science course each year from the 8th grade…