Background: Mindfulness practices enhance executive function skills and academic achievement, spurring interest in integrating mindfulness interventions into education. Embedding mindfulness practice into a digital math game may provide a low-cost, scalable way to induce mindfulness and boost game-based learning, yet this approach remains…

The purpose of this meta-analysis was to investigate the effectiveness of the use of games as part of mathematics instruction on academic achievement in grades Kindergarten to 12 in the United States. There were 17 studies selected for investigation published from 2010 to 2023 that focused on game-based learning and mathematics. This meta-analysis…

As a fifth-grade mathematics teacher, the author tries to create authentic problem-solving activities that connect to the world in which his students live. He discovered a natural connection to his students' real world at a computer camp. A friend introduced him to Alice, a computer application developed at Carnegie Mellon, under the leadership of…

During the period 1729-1826 Bernoulli, Euler, Goldbach and Legendre developed expressions for defining and evaluating "n"! and the related gamma function. Expressions related to "n"! and the gamma function are a common feature in computer science and engineering applications. In the modern computer age people live in now, two…

Problem solving, introduced in every grade and practiced throughout elementary school, is an essential foundation on which students build their understanding of mathematical ideas, operations, and relationships. This article discusses 1-2-3 Time, an instructional mode that promotes multimodal math learning in ways that engage and sustain students'…

The purpose of this study was to investigate the effects of type of question prompt and level of prior knowledge on non-routine mathematical problem solving. A computer game was blended within the pattern reasoning tasks, along with question prompts, in order to demonstrate and enhance the connections between viable problem-solving strategies and…

After reviewing several assumptions that support the future ubiquitousness of computers in society and in scholarly research, summarizes three interrelated frameworks for developing instructional computing. (GC)

A program called SemCalc is detailed that enables people to use the computer as a tool to solve word, story, estimation, and simple algebra problems. SemCalc is seen as an example of a computer program that is a tool, with no curricular agenda of its own. (MP)

An exploration of a problem called solving quadratic congruences modulo p is detailed and is built around an alternate method of deriving the quadratic formula. Three practical pedagogical values that have been experienced by students and instructor when the material was presented to classes are noted. (MP)

A teaching strategy for problem solving with computers is detailed. The approach provides a "midline" level of help that encourages exploratory activity yet provides enough guidance to increase chances of pupil success. (MP)

Computer programing and problem-solving steps in mathematics are viewed to have related concepts. Some heuristics are compared with some suggestions for structured programing. The one fundamental difference between problem solving in general and when using the computer is seen as the computer solution must be finite. The computer is viewed as a…

This booklet contains some 80 problems in mathematics suitable for computer solution. The problems range from very simple to complex. Problems have been included from most mathematic disciplines, including number theory, analytical geometry, probability and statistics, trigonometry, equations, and sequence and limits. For the most part these…

The introduction of computer use in college mathematics classes for non-mathematics oriented students majoring in marketing, management, and other business-related fields is discussed. Results of a questionnaire of student opinions matched with pupil course grades is presented. It is noted students as a whole seemed satisfied with computer use.…

The use of a computer to help honors second-year algebra students graph quadratic and higher-order polynomials is discussed. Sample computer programs are included. (MP)

Seven applications problems are presented for gifted students to solve by writing microcomputer programs. (MNS)