This article aims to share five practical approaches for how teachers can identify, adapt, and create their own writing prompts they assign to students: (1) Promote Students' Solution Paths; (2) Go beyond Asking Students to Simply "Explain"; (3) Prompt Students to Share Their Reasoning; (4) Have Students Consider the Validity of a Given…

This article outlines an active learning project that gives students hands-on experience in developing an undergraduate situational judgment test. The five-part activity models the process for constructing a situational judgment test--a tool commonly used for employee selection in organizations. The project is designed to help students assimilate…

How can we teach inquiry? In this paper, I offer practical techniques for teaching inquiry effectively using activities built from routine textbook exercises with minimal advanced preparation, including rephrasing exercises as questions, creating activities that inspire students to make conjectures, and asking for counterexamples to reasonable,…

Constructing viable arguments and reasoning abstractly is an essential part of the Common Core State Standards for Mathematics (CCSSI 2010). This article discusses the scenarios in which a mathematical task is impossible to accomplish, as well as how to approach impossible scenarios in the classroom. The concept of proof is introduced as the…

To engage students, many teachers wish to connect the mathematics they are teaching to other branches of mathematics or to real-world applications. The lesson presented in this article, which uses the algebraic skill of finding the equation of a line between two points and the geometric axiom that any two points define a line, does both. A…

This note contains material to be presented to students in a first course in differential equations immediately after they have completed studying first-order differential equations and their applications. The purpose of presenting this material is four-fold: to review definitions studied previously; to provide a historical context which cites the…

Teaching students test wiseness can have a number of positive results, including improving the validity of the tests themselves and improving the scores of minority students on tests. (AEA)

Procedures for developing curriculum-based measurement (CBM) systems are presented as an approach to special education problem solving. CBM procedures are discussed within the context of a decision-making matrix, focusing on "what" and "how" to measure and how to use data. An example applies the method to reading-aloud…