Algebra has been identified as a gatekeeper to careers in STEM, but little research exists on how algebra appears for practitioners in the workplace. Surveys and interviews were conducted with 77 STEM practitioners from a variety of fields, examining how they reported using algebraic functions in their work. Survey and interview reports suggest…

In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…

A mixed-methods, quasi-experimental design was employed to explore how the Claim, Evidence, and Reasoning (CER) framework along with written, verbal, and peer scaffolds would influence early childhood/elementary and elementary/middle childhood preservice teachers' (PSTs) abilities to formulate scientific explanations within a physical science…

The purpose of this study was to analyze the problem-solving techniques that students in a fifth-grade classroom applied while solving mathematical word problems. Fifth-grade students in a private school with Ministry of Education curricula in Al Ain, Abu Dhabi, were given a set of 15-word problems to solve with detailed justifications. The…

The expansion of technical concepts into everyday business practices suggests a need for effectively teaching difficult subjects to non-technical users. This paper describes hands-on analogy, an innovative method for teaching technically difficult concepts using interactive, experiential learning activities and a gamified exercise. We demonstrate…

This article aims to enlighten how individuals apply and develop cooperative and computational thinking in online collaborative challenges, and what ludic features support or discourage such approaches. Over n = 1400 subjects have been involved with a quantitative survey about three collaboration-based video games--i.e. "Overwatch,"…

In order to estimate the likely effects on item difficulty when a calculator becomes available on the quantitative section of the Graduate Record Examinations® (GRE®-Q), 168 items (in six 28-item forms) were administered either with or without access to an on-screen four-function calculator. The forms were administered as a special research…

The suggestions of business executives concerning the content of a general education program that would assist students in achieving success in business were obtained through a 1982 survey. Questionnaire responses were obtained from 113 respondents in companies ranging in size from 1,000 or more employees to those with 50,000-plus employees. Five…