Used correctly, assessments play a vital role in the success of a course: they provide valuable feedback to students regarding their knowledge gaps, encourage deeper understanding of the material, help students to develop critical thinking, and guide students to accomplish a course's learning goals. They also provide a signal to future employers,…

A successful flipped classroom relies heavily on student engagement in pre-class learning and their active participation in classroom activities. However, much to students' disappointment, their efforts in the learning process often go unnoticed in traditional assessment approaches (such as term papers and final examinations) that are more…

Quantitative Reasoning for Professionals is a two-semester general education sequence that teaches basic and intermediate algebra through the lens of quantitative reasoning. In this course sequence, we emphasize communication and inference-making while teaching practical algebra skills for students in programs such as business, nursing, and social…

Standards-based grading (SBG) is an assessment/grading system that attaches scores to the mastery level of specific learning objectives. This methodology is gaining momentum in the K-12 environment but has been largely overlooked at the post-secondary level. In this paper, I will discuss the implementation of this practice in a College Algebra…

Specifications grading is a version of mastery grading distinguished by giving students clear specifications that their work must meet, and grading most things pass/fail based on those specifications. Mastery grading systems can get quite elaborate, with hierarchies of objectives and various systems for rewriting and retesting. In this article I…

Workshops can be a powerful tool to support students as they develop proof-writing skills. In a workshop, each student writes a proof, provides feedback on other students' work, and reflects on critiques from peers. Workshops can be used in any class that emphasizes writing proofs or other forms of mathematical writing. They are highly efficient…

In this book Bill Hanlon provides examples and recommends highly effective and practical instructional and assessment strategies that classroom teachers can immediately implement and that school administrators can readily observe. These high yield strategies build on accepted practices and directly address the needs of struggling students or…

In the age of the internet, it is increasingly difficult to write homework assignments in a way that encourages students to struggle with a problem on their own without seeking answers from other sources. This is especially true in lower-level courses, where students often start with the attitude of "I can't do this." In this article, I…

A common challenge among mathematics professors is to structure a course so that students are motivated to complete enough work to master the material without creating an unmanageable grading workload. We will discuss a strategy that the author devised to successfully confront this challenge (after many other failed attempts): using online surveys…

Digital tools are making it easier than ever for teachers to gather and analyze formative data. Paper exit slips can take a classroom teacher upward of an hour to sort and graph after just one day of classes. But now, that same teacher can pose a question out loud to the class and ask students to type answers on their mobile phones and hit send.…

It is almost universally agreed that more frequent formative assessment (homework, clicker questions, practice tests, etc.) leads to better student performance and generally better course evaluations. There is, however, only anecdotal evidence that the same would be true for more frequent summative assessment (exams). There maybe many arguments…

During the past decade, physical education has gone through some tough times. Between increased pressures to succeed on standardized testing, which has resulted in increased classroom time and decreased time in the gym, and tight budgets, children are not getting the quality physical education they deserve. The "2012 Shape of the Nation…

At a very early age, students learn the point system and how school can be about the accumulation of points, not the accumulation of knowledge and skills. Grading systems are pervasive in districts across the nation, with questionable results. For example, a southern school district was highlighted in a 2009 Associated Press story for selling test…

Using formative assessment involves gathering data from students on their progress and comprehension so that instruction can be adjusted to meet their learning needs (Popham 2001; Greenstein 2010). This article describes how the author uses homework, "three quick questions," trivia questions, pretests, and practice tests to formatively…

Personalized, online homework was used to supplement textbook homework, quizzes, and exams for one section of a course in material and energy balances. The objective of this study was to test the hypothesis that students using personalized, online homework earned better grades in the course. The online homework system asks the same questions of…