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…

The field of education is undergoing fundamental change with the growing use of data. Fine-scale data collection at the item-response level is now possible. Xerox has developed a system that bridges the paper-to-digital divide by providing the well-established and easy-to-use paper interface to students, but digitizes the responses for scoring,…

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…

An effective learning environment interface (LEI) is a means to enable students to focus on learning and to understand content, while establishing connections and relationships among course activities. Using this fundamental premise, we propose a flexible, user-centered, and seamless LEI which is intended to remediate the fragmented interface…

It is a pity that for so many people not involved in Teaching, and for a surprising number who are, mathematics in schools is "chiefly" all about the ability to know a set of facts, multiplication tables and addition bonds in particular, rather than the capacity to reason and explore patterns and relationships in Number and Shape.…

"The Power of Probability" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) and Common Core State Standards, which gives students opportunities to practice their skills and knowledge of the mathematics of probability. Developed by The Actuarial Foundation, the program's lessons and worksheets motivate…

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…

EDUCAUSE Core Data Service Fiscal Year 2007 Summary Report summarizes much of the data collected through the 2007 EDUCAUSE core data survey about campus information technology (IT) environments at 994 colleges and universities in the U.S. and abroad. The report presents aggregates of data through more than 100 tables and accompanying descriptive…

The 2017 edition of the "Digest of Education Statistics" is the 53rd in a series of publications initiated in 1962. The "Digest" has been issued annually except for combined editions for the years 1977-78, 1983-84, and 1985-86. Its primary purpose is to provide a compilation of statistical information covering the broad field…

Presents a real-life example of mathematical modeling in which a medical company asks for help in solving a warehouse-inventory problem. Uses charts, graphs, and computers. (MKR)

This paper reports on the development and evaluation of cognitive tools used by learners to interpret graphs and tables. The development of these tools was informed by research about how learners interpreted graphs and tables. A prototype of the cognitive tools was trialed with a small sample of preservice teachers. This prototype was then…

Reports on a study in which computer-mediated communication (CMC) messages obtained from two public access, educationally oriented electronic bulletin boards (BBSs) were categorized according to board type and intent and analyzed for structure, length, complexity, and readability. The potential for CMC in the educational environment is considered.…

Presents ways of using different software for visualizing sampling distributions from a variety of background distributions. Random numbers are used to produce samples of given size and the mean of each is calculated. The mean and standard deviation of these means are calculated, a grouped frequency table is produced, and a histogram is generated.…

Examines the issue of technology in education as the vehicle whereby an educational-industrial complex is evolving. Presents background information on the introduction of technology in education; technology suppliers and the education market; the educational-industrial complex (hardware, software, services, and private education companies);…