What constitutes learning in the 21st century is the capacity for e-learning. Integral components of e-education are training content management systems. Existing content generators more transform content than create original content. Creating a methodology and technology for generating original content is important and relevant. In order to form…

The Idea Bank provides tips and techniques for creative teaching, in about 1,000 words. For this article, the authors analyzed 93 educational applications (apps) that have the potential to help students meaningfully engage in the science practices outlined in the Next Generation Science Standards. Some of the ways teachers can use these apps in…

Teachers increasingly use virtual manipulatives and other apps on touch-screen devices (e.g., "iPads") in an effort to help students understand mathematics concepts. However, students experience these apps and their affordances in different ways. The purpose of this article is to inform teachers' decisions about app implementation in the…

This article proposes a framework for classroom teachers to use in making pedagogical decisions regarding which mathematical materials (concrete and digital) to use, when they might be most appropriately used, and why. Two iPad apps ("Area of Shapes (Parallelogram)" and "Area of Parallelogram") are also evaluated to demonstrate…

The best Science, Technology, Engineering, and Mathematics (STEM) design challenges are student centered, with students themselves making the key decisions. But with young children who are still learning basic academic and social skills, implementing projects where they truly take the lead can be quite challenging. To give students at one…

Having an answer to "When are we ever going to use this in real life?" is important to middle school mathematics teachers. The activity described in this article awakened sixth graders' understanding of how artists use mathematics. By exploring ratio and proportionality in different paintings, students realized the use of proportional…

In this article, middle school mathematics teacher Jennifer Zakrzewski describes how she successfully incorporated iPads and Apple TV (for projection of iPad screens) into her classroom while having her students solve a problem about mangoes. As Zakrzewski began a unit on multiplying and dividing fractions, she chose to start with the Mangoes…

A critical incident is a situation or event that holds significance for learning, both for the students and teachers. This paper presents four examples of critical incidents from a Year 7 teacher's lesson excerpts in Indonesia involving teaching of fractions, to show how they shaped classroom situation, brought forward elements of conflict, and…

The paper describes a two-week summer course for gifted students which successfully develops mathematical program solving, promotes understanding of advanced mathematical concepts, and allows students to learn a great deal of programing. (CL)

Provided in this report are summaries of grants awarded by the National Science Foundation Division of Computer Research in fiscal year 1984. Similar areas of research are grouped (for the purposes of this report only) into these major categories: (1) computational mathematics; (2) computer systems design; (3) intelligent systems; (4) software…

Describes a computer program which allows students to specify rather arbitrary sets of poles and zeros for the transfer function of a linear system. The computer evaluates/plots the systems impulse and step responses individually and displays them in reduced form along with the pole-zero plot. (JN)

Describes the algorithm used to select a simple random sample of certain size without having to list all possible samples and a justification based on Pascal's triangle. Provides testing results by various computers. (YP)

Describes a number sequence made by counting the occurrence of each digit from 9 to 0, catenating this count with the digit, and joining these numeric strings to form a new term. Presents a computer-aided proof and an analytic proof of the sequence; compares these two methods of proof. (YP)

Use of diagnostic testing (for mathematics skills) and multiple-choice, computer-graded homework in reducing dropout from general physics is discussed. Indicates that these strategies were successful without sacrificing academic or grading standards. Includes list of topics on the diagnostic math test and sample homework problem set (in…

This paper presents the basics of "LATEX," a computerized typesetting program popular with mathematicians and other writers of technical papers, and compares it to conventional word processing programs. LATEX, which requires a text editor such as WordPad or NotePad--the text editor is used to produce and input file which the LATEX program…