The aim of this research is to advance in the teaching-learning process of representing quadratic functions, both with pencil and paper and with a technological tool. For this purpose, a didactic experience is presented. Firstly, it is explained in the traditional way how to graph a quadratic function; secondly, students are introduced to the…

This research addresses the issue of how to support students' representational fluency--the ability to create, move within, translate across, and derive meaning from external representations of mathematical ideas. The context of solving linear equations in a combined computer algebra system (CAS) and paper-and-pencil classroom environment is…

In light of the recent growing interest in conceptual learning and teaching of calculus, and especially with the focus on using technological environments, our study was designed to explore the learning processes and the role played by multiple-linked representations and by interactive technological environment in objectifying the accumulation…

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

We develop an Easy Java Simulation (EJS) model for students to experience the physics of idealized one-dimensional collision carts. The physics model is described and simulated by both continuous dynamics and discrete transition during collision. In designing the simulations, we discuss briefly three pedagogical considerations namely (1) a…

This article presents a designed learning environment intended to engage students in learning about the relationships among multiple representations as they work together on a shared task. Over the course of several extended problem-solving sessions, groups developed several successive alignments of participants and representations as they learned…

The ability to visualize student engagement and experience data provides valuable opportunities for learning support and curriculum design. With the rise of the use of learning analytics to provide "actionable intelligence" on students' learning, the challenge is to create visualizations of the data, which are clear and useful to the…

While most microeconomics curriculums contain no reference to the use of microcomputers, spreadsheet packages adapt well to microeconomics courses. This presentation examines the following topics in the context of a microeconomics course: (1) The Microcomputer Spreadsheet Package--LOTUS; (2) The Spreadsheet Anatomy--cells, commands, menus; (3)…

Presents findings from a search of 21 years of National Society for Performance and Instruction (NSPI) publications and conference programs undertaken to determine yearly trends in number of articles and talks, organizational affiliations of speakers and writers, types of presentations, and topics. A context taxonomy and recommendations are…

This report focuses on the present and projected usage of technology within United States school districts and schools. The trends and projections outlined in this report are based upon an analysis of 1995-96 school year data as compared with similar data collected since 1987. Data are presented in four major sections: (1) Methodology, (2)…

As this report shows, the growth in the use of computers and other educational technologies has been substantial and accelerating during the past 15 years. The report summarizes Quality Education Data's 15th annual survey of public school ownership of instructional technology, covering more than 65% of all United States schools and districts--over…