Infinite series are known to be challenging for Calculus II students, perhaps because they lack intellectual need for the content. In their analysis of Calculus textbooks found few instances of potential intellectual needs for infinite series. This study combines a textbook analysis with interviews of four professors and observations of their…

This paper describes the linear algebra class I taught during Spring 2014 semester at Adelphi University. I discuss the details of how I flipped the class and incorporated elements of inquiry-based learning as well as the reasoning behind specific decisions I made. I give feedback from the students on the success of the course and provide my own…

The term "flipped" or "inverted" classroom includes a broad range of pedagogical innovations, and has recently received a significant amount of press. Although flipping an entire course might be a more extreme step than most are able to take, we discuss modular ideas for change that can be more easily implemented. This paper…

This article presents the importance of using multimedia in the math classes by an example of multimedia lesson about definite integral and the results of the research carried out among the students of the first years of faculty, divided into two groups of 25. One group had the traditional lecture about the definite integral, while the other one…

In this book, the author offers a wide selection of student engagement strategies for math teachers in grades K-12. He shares his class-tested ideas in a clear and spirited voice, with his devotion to the teaching profession and his students apparent on every page. With invaluable ideas to help students remain engaged for longer time periods, this…

This paper employs a three-step process to analyze three empirically supported strategies for teaching statistics to BSW students. The strategies included: repetition, immediate feedback, and use of original data. First, each strategy is addressed through the literature. Second, the application of employing each of the strategies over the period…

"Principles and Standards for School Mathematics" outlines essential features crucial to teaching mathematics so that all students have opportunities to learn mathematics content with conceptual understanding. Although the document outlines extensive goals for the teaching and learning of mathematics, the majority of classrooms fall short in its…

Much of modern mathematical research requires a serious level of commitment and ability on the part of the researcher and, as a natural consequence, precludes any real involvement by undergraduate mathematicians. However, to put it crudely, Computer Algebra Systems, can make experts of us all. With the use of such systems even the average…

Formal use of cooperative learning techniques proved effective in improving student performance and retention in a freshman level statistics course. Lectures interspersed with group activities proved effective in increasing conceptual understanding and overall class performance. (11 references) (Author)

This article utilizes several examples to describe the use of MathCAD, a computer scratchpad for calculations, within a lecture-demonstration method of teaching general calculus. Both hardware requirements and software features are discussed specifically related to the proper design of student worksheets with emphasis on parameter variation. (JJK)

The crisis confronting calculus and mathematics education generally results from a number of failed assumptions implicit in the dominant lecture-homework-exam methodology used in teaching mathematics. Positive resolution of this crisis can be found in adopting a noncompetitive, collaborative approach to mathematics education. (Author)

This study investigated the effects of two modes of instruction; the experiencing mathematics instructional method, and the direct instruction expository method, and two levels of mathematics anxiety, high and low, on mathematics achievement. The final sample consisted of 160 students enrolled in a remedial arithmetic course in a four-year college…

Reports the results of five contrasts between small-group learning and a more teacher-centered instructional style employed in junior high, high school, and college mathematics classes. In no case did the small-group class perform more poorly than the one led by a teacher; in one case, measuring long-term retention, the small-group class performed…

This collection of papers provides a theoretical foundation on current practice in cooperative thinking. The papers offer many practical methods that can be applied to a full range of classroom settings. After an introduction, "HOTSICLE: Higher Order Thinking Skills in Cooperative Learning Environments" (Neil Davidson and Toni Worsham),…