For fans of the bestselling book "The Formative 5: Everyday Assessment Techniques for Every Math Classroom" comes this updated and expanded edition for understanding and implementing highly effective, research-backed formative assessment techniques into seamless, daily practice with students in grades K-12. "The Formative 5 in…

We discuss a practical method for assessing mathematical proof online. We examine the use of faded worked examples and reading comprehension questions to understand proof. By breaking down a given proof, we formulate a checklist that can be used to generate comprehension questions which can be assessed automatically online. We then provide some…

In this article, the author asserts that asking and responding to diagnostic questions is the single most important part of teaching secondary school mathematics. He notes the importance of formative assessment and recommends a formative assessment strategy that requires students to be public about their answers to questions, displaying their…

This action research study presents the findings of using a formative assessment strategy in an online mathematic course during the world-wide outbreak of COVID-19 at the University of Passau, Germany. The main goals of this study were: (1) to enhance students' self-regulated learning by shifting the direction of assessment from instructors to the…

Old habits die hard, particularly when they are part of the unexamined norms of schooling. In "Why Are We Still Doing That?," the best-selling authors of "Total Participation Techniques" lead a teacher-positive, empathetic inquiry into 16 common educational practices that can undermine student learning: (1) Round robin reading;…

This book offers easy-to-use classroom strategies for middle and high school Mathematics and Science classrooms. They demonstrate how teaching, learning, and assessment are inseparable and seamless. Each strategy will engage your students in activity and reflection, consuming little class time, costing nothing, and uniting the three dimensions of…

The 11th International Conference on Educational Data Mining (EDM 2018) is held under the auspices of the International Educational Data Mining Society at the Templeton Landing in Buffalo, New York. This year's EDM conference was highly competitive, with 145 long and short paper submissions. Of these, 23 were accepted as full papers and 37…

The 10th International Conference on Educational Data Mining (EDM 2017) is held under the auspices of the International Educational Data Mining Society at the Optics Velley Kingdom Plaza Hotel, Wuhan, Hubei Province, in China. This years conference features two invited talks by: Dr. Jie Tang, Associate Professor with the Department of Computer…

Describes how games in elementary school classroom can be used to assess children's mathematical reasoning and provide instruction. Examples of "test questions" to which the teacher already knew the answer and "honest questions" regarding how the student approached the mathematics problems within a game context are given. Games…

Major changes in mathematics pedagogy include writing as pedagogy and the role of community in learning. The classroom community is naturally extended by the use of online discussion boards. In this article several models for student use of online discussion boards that have been successfully used to promote mathematical discourse are presented.…

Delineates and describes four types of questions which may help teachers learn more about student understanding, namely, silent questions, oral questions, written questions, and students' questions. (PK)

This paper gives a description of a videotape used with inservice teachers as a model for demonstrating the clinical interviewing technique. It describes what is seen on the tape, as well as the child's and interviewer's comments and reactions. It also describes the plan and purpose of the interviewer's questions and outlines the process that…

Taking advantage of user-friendly technology, Audience Response Systems (ARS) facilitates greater interaction with participants engaged in a variety of group activities. Each participant has an input device that permits them to express a view in complete anonymity, and the composite view of the total group appears on a public screen. ARS can then…

With the increased emphasis on teaching problem solving in mathematics has come the challenge of developing new techniques for evaluating the effectiveness of such instruction. This booklet is an attempt to provide teachers with ways to give credit for a good problem solving strategy, and yet deduct for an incorrect answer. The document provides…

Presented are assessment techniques to help improve instruction. Included are the formative assessment techniques observation and questioning, diagnostic interviews, and problem-solving-based investigations and the summative assessment technique of performance-based tasks. Examples of these methods are provided together with at-home activities…