In this paper I intend to illustrate Vygotsky's Zone of Proximal Development (ZPD) and then extend the discussion to scaffolding and its relationship with the ZPD. This is then followed by some concerns raised in literature regarding scaffolding as a concept and as a metaphor which involves analysing the arguments for regarding the role of…

Organizations are faced with solving increasingly complex problems. Addressing these issues requires effective leadership that can facilitate a collaborative problem solving approach where multiple perspectives are leveraged. In this conceptual paper, we critique the effectiveness of earlier leadership models in tackling complex organizational…

The paper discusses some interesting, mainly philosophical paradigms of the modeling and control areas, which are still partly unsolved and/or only partially studied. First the possible introduction of a prejudice free control--similar to the term for the modeling introduced by Rudi Kalman--is investigated. Next the real constraints in real…

Developing critical thinking is an important factor in education. In this study, the author defines critical thinking as the set of skills and dispositions which enable one to solve problems logically and to attempt to reflect autonomously by means of metacognitive regulation of one's own problem-solving processes. To identify the validity and…

The study aimed to examine and interpret the experiences of an experienced science teacher in Real Engagement in Active Problem Solving Model (REAPS) implementation conducted within the Electricity Unit through a validated pedagogical content knowledge (PCK) framework. To this end, the study examined the efforts of an experienced middle school…

This article presents a possible framework for the cooperation of mathematics and physics education research domains. Moreover, the potential topics for such a scientific collaboration are explained by means of a structuring qualitative content analysis of current handbooks and conference proceedings in Germany and Vietnam. These topics can form a…

Purpose: The concept of inclusive education is moved from the homogeneous perspective to heterogeneous perspective in developed countries and even in developing countries, the discourses on inclusive education are argued from the diversity perspective. Many scholars (Florian, 2010; Slee, 2010; Meijer, 2003 and; Allan, 2011) who are researching on…

Change Laboratories are a methodology to deal with complex problems in society in order to both better understand these problems as well as to find potential solutions. They typically involve collaborative problem solving and solution seeking from practitioner's perspectives, conducted in a series of successive, structured workshops informed by…

Cognitive Load Theory's Four Component Instructional Design (4C/ID) Model has been used in mathematics education but not confirmed as an instructional theory. Using the Factors Influencing College Success in Mathematics (FICSMath) project and confirmatory factor equation modeling, we empirically validated the model and created the 4C/IDMath Model.…

This research was conducted to facilitate the conceptual understanding of the solutions that contain abstract concepts and not to understand easily. The aim of this research is to determine the effect of applied methods on the achievement level of prospective science teachers and conceptual understanding level at the particulate nature of matter…

The purpose of this article is to report on a newly funded research project in which we will investigate how secondary students apply mathematical modelling to effectively address real world situations. Through this study, we will identify factors, mathematical, cognitive, social and environmental that "enable" year 10/11 students to…

This study was conducted during the first semester of 2016, from March 21st to June 30th, with 104 students, in eight educational centers or "polos," in the states of Minas Gerais and São Paulo. Previously, these mathematics teacher education students had no opportunity to study in higher education in Brazil. They were enrolled in a…

Students who are adept in modeling with mathematics have the capability to use mathematics in situations that arise in everyday life. The German Tank problem described in this article created the expectation that student reasoning was rooted in logical deductions (NCTM 2000). By engaging in this problem, students grappled with challenging…

In this article, the authors describe how a theoretical framework--the modeling cycle of Bliss, Fowler, and Galluzzo (2014)--came to life in their classroom as students struggled with an open-ended modeling task. The authors share their high school students' work--warts and all. They explain how they used their students' ideas and errors to help…

Mathematics can be viewed as complex structures comprising intricate and profoundly useful webs of relationships. Students can experience mathematics in this way when working on mathematical tasks such as problem-solving, modelling, investigations or problem posing. Yet these kinds of tasks are seldom implemented in many upper-secondary and…