Even though a school in Southern Virginia had been utilizing a variety of manipulatives, calculators, and computers to transition students through the concrete-representational-abstract (CRA) sequence; students did not meet the state proficiency requirement on the standardized math assessment. A qualitative descriptive case study design, grounded…

Writing, as a skill of correct graphic design, represents an activity which is very important in each individual's life and work, and the period of elementary school, when writing skills are mastered, is the period when special attention must be devoted to determinants that can affect the process of writing. Gender, literacy phase and writing…

Every individual should be provided with opportunities to self-express through participation in art activities. In order to provide independent exploration and creativity during art, it may be necessary to adapt art tools, modify how the activity is accomplished, and examine the environment to determine the best methods to provide access. Simple…

Paper folding studies are quite effective in the development of students' visual and spatial skills. The "paper" used in these studies is a genuine tool that can support the development of geometric habits of mind as well as the visual-spatial skills. This is an action research aimed to investigate the potential of paper folding to…

Over the last two decades, the significance of academic achievement for students with disabilities in K-12 education has increased. To meet the needs of this population, educators turned to innovative strategies and technologies for instructional support in the classroom. For students with a learning disability, the need for such solutions is…

This paper presents findings from an on-going international study of Early Childhood (EC) teachers' and children's use of Internet of Toys (IoToys) to understand possibilities for developing children's cognitive capacities (e.g., creativity, inquiry, engineering design thinking). The study employed a Design Based Research (DBR) method, where…

Out of all the complex systems in science education curricula, cellular respiration is considered to be one of the most complex and abstract processes. Students are known to have low interest and difficulties in conceptual understanding of cellular respiration which provides a challenge for teaching and learning. In this study, we took literature…

This lecture discusses how the careful preparation of the observer, control of conditions, and precise use of materials will allow the child to "be free to manifest the phenomena which we wish to observe." This lecture was delivered at the International Training Course, London, 1921. [Reprinted from "AMI Communications" (2008).]

Several studies have investigated children's engagement with repeating pattern tasks, but few have related to patterns with ABA as the minimal unit of repeat. This study focuses on identifying intuitive characteristics of children's work as they engage with repeating pattern tasks of different structures, focusing on the differences between ABA…

The Tower of Hanoi is an old, popular, and engaging puzzle. It is an exceptional puzzle too considering how effective it can be in engendering multiple valuable outcomes when used as a tool for learning. One of the fundamental goals of mathematics teacher preparation is to enable the prospective teacher to develop mathematical habits of mind and…

This paper presents a study aimed at investigating the didactic potentiality of the combined use of two different kinds of artefacts for the purpose of constructing and conceptualizing mathematical meanings related to the notion of axial symmetry. In our view, the process of meanings construction can be fostered by the use of adequate artefacts,…

Previous work covers building a tower from a stack of homogeneous rectangular plates, each with a maximum shift in displacement. We suggest using plates shaped as curvilinear triangles bounded by segments of power-law functions. The masses of the plates and the position of their center of mass are calculated and measured experimentally after…

The purpose of this study was to contribute to the research on mathematics app use by very young children, and specifically mathematics apps for touch-screen mobile devices that contain virtual manipulatives. The study used a convergent parallel mixed methods design, in which quantitative and qualitative data were collected in parallel, analyzed…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

Emerging technologies have been widely used in applications designed to increase potential for learning enhancement. This study develops a mobile application to integrate augmented reality (AR) functionality into physical puzzle-type games. In the application, learners see visualizations of three-dimensional (3D) dinosaurs and interact with…