The effect of symbolic form model on students' interest in logic content of the mathematics curriculum was investigated in this study. The research was guided by three research questions and three hypotheses. The study used a quasi-experimental design. The population of this research was 2,342 SS2 learners in Enugu State, Nigeria. A sample of 172…

Much of physics involves the construction and interpretation of equations. Research on physics students' understanding and application of mathematics has employed Sherin's symbolic forms or Fauconnier and Turner's conceptual blending as analytical frameworks. However, previous symbolic forms analyses have commonly treated students' in-context…

In this paper, we introduce and discuss a construct called "graphical forms," an extension of Sherin's symbolic forms. In its original conceptualization, symbolic forms characterize the ideas students associate with patterns in a mathematical expression. To expand symbolic forms beyond only characterizing mathematical equations, we use…

In an effort to examine students' understanding about the structure of boundary conditions in upper-division courses, think-aloud interviews were conducted in the context of both quantum mechanics and electricity and magnetism. In the quantum mechanics task, students were presented with a standard potential step scenario. In the electricity and…

Many students with significant disabilities have complex communication needs and are not yet able to express themselves using speech, sign language, or other symbolic forms. These students rely on non-symbolic forms of communication like facial expressions, body movements, and vocalizations. They benefit from responsive partners who interpret and…

The aim of this study was to examine how early symbolic forms (and their associated communicative functions) are related to change in communication among a sample of 12 young children with autism spectrum disorder (ASD) who produced two or fewer spoken words ("M" age = 28.75 months; 11 male, 1 female). Parents reported on children's…

Vector calculus and multivariable coordinate systems play a large role in the understanding and calculation of much of the physics in upper-division electricity and magnetism. Differential vector elements represent one key mathematical piece of students' use of vector calculus. In an effort to examine students' understanding of non-Cartesian…

The aim of this study was to investigate how pictorial representations with different semiotic characteristics affect additive word problem solving by kindergartners. The focus of the study is on three categories of additive problems (change problems, combine problems and equalize problems) and on representational pictures with different semiotic…

Violence is considered a major concern in society, specifically regarding school. In this article, the concept of school violence is explored. Different categorisations and manifestations of violence are presented, and the dividing lines between them are discussed. The questions highlighted in the article include the following: How is school…

The ability to relate physical concepts and phenomena to multiple mathematical representations--and to move fluidly between these representations--is a critical outcome expected of physics instruction. In upper-division quantum mechanics, students must work with multiple symbolic notations, including some that they have not previously encountered.…

This study analysed the designs of algebraic problems in elementary mathematics textbooks used in Finland, Indonesia, Malaysia, Singapore, and Taiwan. This study employed a content-analysis method that focused on four dimensions: representational forms, cognitive demand levels (CDLs), contextual features, and types of responses. The result of the…

This article aims to introduce Ernst Cassirer, and his philosophy of symbolic form, to education studies, and, in doing so, to challenge the widespread but deeply flawed views of knowledge and so-called knowledge-based education that have shaped recent education policy in England. After sketching the current educational landscape, and then some of…

The metaphor of 'viral modernity' denotes an era characterized by communal experiences of how viruses, be they in the shape of physical, virtual or symbolic forms, permeate and shape social and cultural life. To think educative justice in viral modernity thus require a radical move beyond the surfaces of conventional paradigms in order to reach at…

Symbolic representation refers to the use of physical or psychological processes to represent an object in a symbolic form. The present study investigated the development of children's symbolic representation using a new measure of children's block constructions. Ninety children (44 girls) in three age groups (3-4, 4-5, and 5-6 years) were…

This work is part of a larger project that seeks to understand how students blend (integrate) chemistry and mathematics as they work through chemical kinetics problems. Here we focus on four students from our larger sample: two students that demonstrated more instances of blending chemistry and mathematics in their interviews ("high-frequency…