Two decades ago, in an award-winning paper, Dan Kennedy (1995) likened learning mathematics to climbing a tree, for which there was only one way to climb: up a large and solid trunk. In the limited time that is available, many students give up the climb, impede others, fall off the trunk, or fail to climb the tree sufficiently well. In the case of…

The paper uses digital fabrication as a learning environment to demonstrate the importance of conceptual understanding of one-variable inequalities. These inequalities are hidden within two-variable inequalities used to construct geometric shapes the borders of which are the graphs of basic functions from the secondary mathematics curriculum. As…

The aim of the study was to investigate the effect of Microsoft Math Tool (graphical calculator) on students' achievement in the linear function. The study employed Quasi-experimental research design (Pre-test Post-test two group designs). A total of ninety-eight (98) students were selected for the study from two different Senior High Schools…

Traditionally, mathematics has been taught using a very direct approach which the teacher explains the procedure to solve a problem and the students use pencil and paper to solve the problem. However, a variety of alternative approaches to mathematics have surfaced from a number of different directions. The purpose of this study was to examine the…

Computer-based instruction (CBI) programs have been implemented in classrooms for almost three decades. One advantage of CBI includes allowing the user to tailor instruction to their particular style of learning (Slavin & Lake, 2009). An essential part of individualizing CBI involves the students use of active electronic support tools, which…

The National Council of Teachers of Mathematics (NCTM) asserts that a goal of mathematics education, in Prekindergarten through grade 12, is to develop mathematical power for "all" students, and that educational equity is the nucleus of this goal. Nevertheless, researchers have found that equity for all students in mathematics education has not…

This paper demonstrates how calculators may be used to motivate a concept called infinite composition of functions. Several mathematical topics, such as continued square roots, continued fractions, and infinite products are treated and discussed as special cases. (Author/MK)

The author discusses the use of calculators in calculus classes and difficulties caused by roundoff errors. References for advanced follow-up topics are given. (Author/MK)

The format of digits in liquid crystal displays (LCDs) on calculators and watches can motivate some simple investigations appropriate for school mathematics. Several sample problems or investigations are provided. (MK)

Using calculators (and computers) to develop an understanding and appreciation of statistical ideas is advocated. Manual computation as a prerequisite for developing concepts is negated through several examples. (MNS)

This study was designed to: (1) outline briefly the meaning and importance of the family of concepts stemming from the ideas of estimation, approximation, checking, and precision; (2) survey the present place of such concepts in the curriculum; and (3) relate the teaching and learning of these concepts to the availability of the calculator as an…

This book presents activities promoting children's understanding of mathematical ideas while at the same time providing the practice children need to refine their skills in mathematics. Chapter topics include: (1) numbers; (2) number facts and operations; (3) problem solving; (4) calculators; (5) fractions; (6) graphing; (7) geometry; and (8)…

This document summarizes the research done on calculators and calculator use. It is noted that calculators are now seen as acceptable, with fears about use in school currently infrequent, and the role of such devices much more evident than 6 years ago. The first two sections of this material summarize data on use and availability. It is noted that…

This paper was presented at the 1979 meeting of the American Educational Research Association (AERA) in San Francisco. It describes specific examples of calculator-aided mathematics learning activities for children in grades 2-6. These examples illustrate a variety of topics and types of learning which can be enhanced by a range of capabilities of…

This paper, presented at the 1979 meeting of the American Educational Research Association (AERA) in San Francisco, discusses the effects of calculator availability on the elementary school mathematics curriculum. The rationale for a shift from a computationally based curriculum to a conceptually oriented curriculum utilizing the calculator as an…