This paper describes a study for teaching number system in a computer arithmetic course and addresses the existing gap in the current course by focusing on the characteristics of applications. A redundant residue number system (RRNS) is an efficient and innovative number system that inherits the interesting properties of both residue number system…

Programming is an interdisciplinary practice with applications in both mathematics and computer science. Mathematics concerns rigor, abstraction, and generalization. Computer science predominantly concerns efficiency, concreteness, and physicality. This makes programming a medium for problem solving that mediates between mathematics and computer…

Background: Key to optimizing Computational Thinking (CT) instruction is a precise understanding of the underlying cognitive skills. Román-González et al. (2017) reported unique contributions of spatial abilities and reasoning, whereas arithmetic was not significantly related to CT. Disentangling the influence of spatial and numerical skills on CT…

The residue number system (RNS) has been an important research field in computer arithmetic for many decades, mainly because of its carry-free nature, which can provide high-performance computing architectures with superior delay specifications. Recently, research on RNS has found new directions that have resulted in the introduction of efficient…

A pair of abacuses is used to illustrate addition, subtraction (by adding complements), multiplication, and division, with simplified examples given to illustrate the various features of each operation. Also indicates how this information can help students understand computer operations. (JN)

Describes five computer-oriented activities suitable for middle grade students. Activities focus on use of spreadsheets to record nutrition data, programs that cause lights to twinkle on a Christmas tree and balloons to burst, an arithmetic problem, and a mathematics exercise using a spreadsheet. (JN)

The use of computer-produced materials remote from the terminal can revitalize teaching devices and techniques such as graded exercises, precision teaching, and even conventional text. Teachers need to be aware of inconsistencies in the quality of computer software and of logistical factors involved in the adoption of computer assisted instruction…

The handbooks for the most widely used computer-assisted instruction (CAI) courses now available on computer terminals at the Institute for Mathematical Studies in the Social Sciences at Stanford University are presented. Handbooks are included for the following courses: Strands Drill-and-practice (arithmetic fundamentals for fourth grade), Logic…