Teachers are tasked with supporting students' learning of abstract mathematical concepts. Students can represent their mathematical understanding in a variety of modes, for example: manipulatives, pictures, diagrams, spoken languages, and written symbols. Although most students easily pick up rudimentary knowledge through the use of concrete…

Video games have recently become a popular space for educational design due to their interactive and engaging nature and the ubiquity of the gaming experience among youth. Though many researchers argue video games can provide opportunities for learning, educational game design has focused on the classroom rather than the informal settings where…

The purpose of this paper is to show how activating perception, imagery and creativity facilitate the mastery of specific skills of visual arts education. Specifically, the study aimed at answering two questions: How can teachers enhance visual and creative expression?; and What criteria should be used to evaluate specific learning of visual arts…

This research investigates the question of what growth, if any, is shown by teachers in identifying the components of children's reasoning using an upper and lower bounds argument for a fraction task. Specifically, it reports on assessment outcomes from design-based research in teacher education that measures teachers' identification of children's…

Within a group of advanced learners, the variety of abilities, talents, interests, and learning styles can be formidable. For the first time, this book connects the unique learning differences among gifted students to the specific teaching methods used to tailor their educational experiences. Differentiated instruction for gifted and talented…

Recent studies have highlighted the potential importance of informal inferential reasoning (IIR) in supporting learners' general statistical reasoning. This paper presents a framework based on a retrospective analysis of design research in the context of technology-rich statistical professional learning experiences for high school mathematics…

Kaminski, Sloutsky, and Heckler (2008a) published in "Science" a study on "The advantage of abstract examples in learning math," in which they claim that students may benefit more from learning mathematics through a single abstract, symbolic representation than from multiple concrete examples. This publication elicited both enthusiastic and…

Functions provide powerful tools for describing change, but research has shown that students find difficulty in using functions to create and interpret models of changing phenomena. In this study, we drew on a models and modeling perspective to design an instructional approach to develop students' abilities to describe and interpret rates of…

This dissertation will focus on the processing and learning of abstract, phrasal argument structure constructions. Chapter 1 provides the theoretical framework for abstract constructions, and illustrates the importance of such representations in speakers' linguistic knowledge. Chapter 2 reviews the evidence for meaning being associated with…

The number of day-to-day challenges has increased at every stage of life, particularly in developing countries, and therefore there is a crying need for a search for solutions. Education plays an important role in providing correct direction, and science education can prove crucial in achieving this goal. Solutions to individual as well as…

Consolidation is a time-dependent process that is responsible for the storage of information in long-term memory. As such, it plays a crucial role in motor learning. Prior research suggests that some consolidation processes are triggered only when the learner experiences some success during practice. In the present study, we tested whether…

Research has shown that people's ability to transfer abstract relational knowledge across situations can be heavily influenced by the concrete objects that fill relational roles. This article provides evidence that the concreteness of the relations themselves also affects performance. In 3 experiments, participants viewed simple relational…

Introduction: The study seeks to answer two questions: How do university students learn to use correct strategies to conduct scholarly information searches without instructions? and, What are the differences in learning mechanisms between users at different cognitive levels? Method: Two groups of users, thirteen first year undergraduate students…

Gene expression is a highly theoretical concept that requires advanced reasoning skills to comprehend. Often, students receive instruction but fail to replace prior conceptions and thus do not benefit. In order to investigate the reason for this failure, we used a directed inquiry activity that uses concrete analogies in both majors and non-majors…

This article presents different approaches to a problem, dubbed by the author as "the consecutive pages problem". The aim of this teaching-oriented article is to promote the teaching of abstract concepts in mathematics, by selecting a challenging amusement problem and then presenting various solutions in such a way that it can engage the attention…