Achieving meaningful educational outcomes requires scalable strategies for mastering mathematical concepts and skills, with student engagement at the core. This paper examines the use of comprehensive, technology-enhanced activities designed to promote active learning and deeper conceptual understanding. Specifically, it focuses on the integration…

This article presents a design experiment in which we explore new structures for classroom collaboration supported by a classroom network of handheld graphing calculators. We describe a design for small group investigations of linear functions and present findings from its implementation in three high school algebra classrooms. Our coding of the…

Graphing utilities, such as the ubiquitous graphing calculator, are often used in finding the approximate real roots of polynomial equations. In this paper the author offers a simple graphing technique that allows one to find all solutions of a polynomial equation (1) of arbitrary degree; (2) with real or complex coefficients; and (3) possessing…

Explains an application of mathematical modeling within a school setting as well as progressive use of graphing calculators in mathematical modeling. Analyzes students' performances in the process of problem-solving using the problem of baton-passing in relay races. Discusses students' use of their mathematical knowledge and ideas when they used…

Problems designed to show the meaningful use of logarithms in the age of calculators are presented. The emphasis is placed on viewing a logarithm as an inverse operation to raising to a power. (MP)

Gives a general description of reformed calculus efforts and describes experiences with two reformed calculus programs together with traditional calculus. Also provides comparisons between these three programs using teaching evaluations and student journals. (Author/MKR)

Uses a discovery lesson for determining the area of an equilateral triangle given a side length as an illustration of how to introduce features of the TI-92 graphing calculator geometry package within a mathematical context. (KHR)

This document is Volume I of a two-part course designed to improve mathematical proficiency and understanding as the student is given practice in relevant problem-solving situations. It includes the mathematics skills needed to make sound consumer decisions. The purpose of this course is to review, reinforce and extend concepts learned in the…

Presents suggestions for developing algebraic concepts beginning in the early grades to develop a gradual building from informal to formal algebraic concepts that progresses over the K-12 curriculum. Includes suggestions for representing relationships, solving equations, employing meaningful applications of algebra, and using of technology. (MDH)

This collection of activities shows how teachers can help pupils develop problem-solving techniques or strategies using a basic four-function calculator. The techniques "look for a pattern,""make a chart or organized list," and "guess and check" are used repeatedly in activities that range from discovery to application to strategy games. The…

Describes mathematical problems which occur when using the computer as a calculator. Considers errors in BASIC calculation and the order of mathematical operations. Identifies errors in spreadsheet and calculator programs. Comments on sorting programs and provides a source for Mathemagical Black Holes. (MVL)

Notes the computer has progressed from being a fast calculating machine to becoming an important tool for the whole academic spectrum. Discusses the development of new courses being offered to develop skills and knowledge in computational physics. (Author/MVL)

This General Mathematics II curriculum reflects the 1980 National Council of Teachers of Mathematics (NCTM) Agenda for Action statement that emphasis in mathematics learning and teaching should be shifted away from isolated computational skills toward problem-solving techniques. The use of calculators and estimation is encouraged. Emphasis both in…

Proposes using student projects to show students how mathematics can be applied to their lives by using statistics. Students identify a topic of interest to them and their community, collect data, discuss the analyzed data in a written report, and present the reports at the local senior-citizen center. (MDH)