The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

All teachers, especially high school teachers, face the challenge of ensuring that students have opportunities to relate and connect the various representations and notions of mathematics concepts developed over the course of the pre-K-12 mathematics curriculum. NCTM's (2000) Representation Standard emphasizes the importance of students being…

If students are to understand inferential statistics successfully, they must have a profound understanding of the nature of the sampling distribution. Specifically, they must comprehend the determination of the expected value and standard error of a sampling distribution as well as the meaning of the central limit theorem. Many students in a high…

This article describes the use of digital images of real-life phenomena and interactive software to carry out mathematics investigations. (Contains 13 figures.)

How set theory, combinatorics, probability, and the study of algorithms can be used in solving two problems is described in detail. Three computer programs are listed. (MNS)

The progression from simple interest to compound interest leads naturally and quickly to the number e, involving mathematical discovery learning through writing programs. Several programs are given, with suggestions for a teaching sequence. (MNS)

Solutions to a problem on seating arrangements and one on a box-office situation are discussed; a statistical approach is used. Four computer programs are included. (MNS)

Two relevant applications of mathematics and computer science are presented: International Standard Book Numbers (ISBN) that appear in textbooks and universal product codes that appear on grocery products. A computer program is included. (MNS)

Use of the computer to simulate or imitate probability problems that are difficult to analyze in any other way is discussed. How the Monte Carlo method works is clarified, with sample problems and programs. (MNS)

A function-graphing program is given, plus a series of experiments that students can carry out using the program. (MNS)

Describes a method of effectively introducing the concept of radian measure that uses Cabri Geometry II software to construct a circle of arbitrary radius and to measure that radius. The goal is to determine how many of these radii fit around a circle. (DDR)

Abundant and deficient positive integers are investigated, with a computer program listed. (MNS)

Presents an Applesoft computer program to help students translate abstract sentences into concrete visible lines and thereby discover and confirm facts about slopes, intercepts, angles, and intersections. The program graphs and analyzes lines, given as equations of the form Y equals M times X plus B. (JN)

Discusses experiences in elementary statistics that involve describing data by measures of central tendency and dispersion and that are appropriate for students in secondary schools. Includes background information, instructional strategies, procedures, and a ready-to-duplicate student worksheet. (JN)

Presented are instructions for activities in which a calculator is used to investigate algebraic concepts. Also presented are short computer programs involving topics taught in prealgebra and an activity in which a trapezoid is transformed into a circle. (JN)