In this reflection of teaching, we describe a series of activities that introduce the Taylor series through dynamic visual representations with explicit connections to students' prior learning. Over the past several decades, educators have noted that curricular materials tend to present the Taylor series in a way that students often interpret as…

Considering Gen Z's learning needs, primarily focusing on bachelor IT students, a STEAM-based methodology was developed and tested for teaching and learning the principal properties of the cardioid curve. The four-component methodology is based on visuality and combines frontal teaching techniques with educational robotics, dynamic geometry…

As three-dimensional (3D) printing technology is fast becoming more affordable and accessible, calculus instructors can now consider using 3D printing and 3D printed models to actively engage students in core concepts relating to objects in R[superscript 3]. This article describes three lessons for a multivariable calculus class in which students…

Figure analysis is a novel active learning teaching technique that reinforces visual literacy. Small groups of students discuss diagrams in class in order to learn content. The instructor then gives a brief introduction and later summarizes the content of the figure. This teaching technique can be used in place of lecture as a mechanism to deliver…

This paper discusses the production of a digital environment to foster the learning of conics through augmented reality. The name conic refers to curves obtained by the intersection of a plane with a right circular conical surface. The environment gives students the opportunity to interact with the cone and the plane as virtual objects in real…

In 2014 we commenced working on the Inspiring Mathematics and Science in Teacher Education (IMSITE) project, aimed at improving mathematics and science education in Australia by improving the recruitment, development, and retention of mathematics and science teachers. In this project we undertook a range of activities, the most exciting of which…

The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and…

Videos have been used in classrooms for decades, but student-produced video has recently become a viable, economical option to enhance learning. Students were asked to create videos to be used for their exam review in two different undergraduate mathematics courses: Differential Equation and Complex Analysis. Students were then surveyed about…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…

This paper extends work on the construction of instructional modules that use graphical and simulation techniques for teaching statistical concepts (Marasinghe, et al. 1996; Iversen and Marasinghe 2001). These modules consist of two components: a software part and a lesson part. A computer program written in LISP-STAT with a highly interactive…

We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts. We provide procedures and a supplies list for launching and videotaping a water rocket flight to provide the experimental data. Because of factors such as fuel expulsion and wind effects, the water rocket does not follow the…

For the thirty-sixth year, the Research and Theory Division of the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the annual AECT Convention in Anaheim, California. The Proceedings of AECT's Convention are published in two…

This document presents the proceedings of the 17th Annual Research Forum held June 29, 2012, at Wake Forest University in Winston-Salem, North Carolina. Included herein are the following 25 action research papers: (1) "Reading and Writing": A Study Comparing the Strengths of Peer Review and Visible Author Writing Strategies (Elizabeth Behar); (2)…

Five classroom situations in Japanese elementary schools are described and interpreted from perspective of first four standards in the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards. Concludes that Japanese children do so well in mathematics because Japanese teachers embody essence of the standards in…