Unprecedented changes to family life in the new millennium have left many parents feeling unable to effectively participate in their child's school-based learning. This article presents research which explored enablers and impediments when using social media as part of an inquiry curriculum to promote parent engagement in student learning in one…

During the last decade, global optimization has attracted a lot of attention due to the increased practical need for obtaining global solutions and the success in solving many global optimization problems that were previously considered intractable. In general, the central question of global optimization is to find an optimal solution to a given…

The theoretical and methodological model of Mathematical Working Space (MWS) is introduced in this paper. For over 10 years, the model has been the object of collaborative research among various researchers, generally coming from French and Spanish speaking countries. Articulating epistemological and cognitive aspects, the MWS model is aimed at…

Young children are naturally inquisitive, and teachers often invite them to question, challenge, and create to expand their ever growing knowledge base. This article describes an inspiration one kindergarten teacher had when she overheard two children in her class discussing their recent experiences at an airport. The students were sharing some of…

The article deals with the analysis of literary narrative where a possible unreal fictional world and a possible real fictional world usually coexist. When the norms of life plausibility are consciously violated, the real and the unreal possible worlds are emphatically opposed. Hence, their certain aspects are depicted in a fantastically…

The child's emerging sense of identity is deeply informed by their culture. Teachers who are called to work with children 0-3 know and understand that their role in the children's lives is to create a kind of second womb for them in the Infant & Toddler years; this second womb is created with the carefully prepared environment. After the…

Taking up the cause of grace and courtesy across the planes of education, Pat Schaefer tells of the grace and courtesy of successive planes within a school culture and gives a glimpse of how the Montessori vision of a new society can look. Grace and courtesy go well beyond the practice of manners and into the topic of deep observation and…

The gaming culture of modern childhood takes place not only in real space, but in a virtual one too. These two components (two planes of development) are often viewed in isolation from one another. This study investigates the completely new phenomenon of augmented reality gaming through the lens of "Pokemon Go," and it describes how the…

This is the first unit of a 15-unit School Mathematics Study Group (SMSG) mathematics text for high school students. Topics presented in the first chapter (Structuring Space) include: lines and points; planes; intersections; intersections of lines and planes; betweenness and segments; separation; angles; locating positions and points; coordinates;…

Gestalt psychologists pointed out about 100 years ago that a key to solving difficult insight problems is to change the mental representation of the problem, as is the case, for example, with solving the six matches problem in 2D vs. 3D space. In this study we ask a different question, namely what representation is used when subjects solve search,…

This paper proposes an identity theory of Chinese as a Heritage Language (hereafter CHL) development, based on the characteristics of the Chinese as a Heritage Language learner and drawing insights from Language Socialization, Second Language Acquisition, and Conversation Analysis. It posits that CHL development takes place in a three-dimensional…

We investigated mental rotation in children by systematically varying the adult cube aggregate's set size, rotation angle, and picture/depth plane rotations in a new test. Eighty 4- to 11-year-old mainly middle-class children (British Indian and British African majority and white minority; 40 girls and 40 boys) were assessed using the new…

The Pauli exclusion principle is a key postulate of the quantum theory and informs much of what we know about matter. In terms of electronic structure, the lone, deceptively simple mathematical requirement is that the total wave function be antisymmetric with respect to the exchange of any two electrons. However, visualizing the effect on the…

This study highlights the importance of cognition-affect interaction pathways in the construction of mathematical knowledge. Scientific output demands further research on the conceptual structure underlying such interaction aimed at coping with the high complexity of its interpretation. The paper discusses the effectiveness of using a dynamic…

Purpose: The purpose of this study was to characterize spatial hearing abilities of children with longstanding unilateral hearing loss (UHL). UHL was expected to negatively impact children's sound source localization and masked speech recognition, particularly when the target and masker were separated in space. Spatial release from masking (SRM)…