This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

This article uses a cultural-developmental framework to illuminate the interplay between collective and individual activity in the mathematical reasoning displayed in a university Masters level lesson on fractals. During whole class and small group discussions, eleven students, guided by an instructor, engage in inductive reasoning about the area…

Recent studies have shown that strengths in spatial skills are a key to success in STEM (science, technology, engineering, and mathematics) careers. However, these skills are undervalued in our educational system and thus seldom incorporated in classroom teaching. As a first step towards changing the current practices, we worked with a group of…

As a team of teacher educators at a university in the United States, we engage in participatory action research to reflect on how reflective tools which we design engage teacher candidates (TCs) in their reflecting on teaching. In this paper, we describe how we invite TCs to write in-class reflections, respond to self-assessment probes, and…

There are a plethora of variables which affect pupils in the classroom. These might involve the obvious such as uncomfortable temperature readings a well as the following: (1) small group work as compared to individual activities; (2) use of measurably stated objectives versus constructivism as psychologies of learning; (3) a very quiet…

Project-Based Learning (PBL) connects standards-based content to real-world scenarios through the use of projects to improve student achievement. By engaging students in authentic problems that do not have a predetermined solution, students learn both subject matter and critical 21st-century skills. This "Focus On" addresses what…

Using an approach based on a Harvard study that found "when the whole body is involved, the number of brain cells brought to the learning activity doubles," the author offers over one hundred kinesthetic activities for classroom use. Activities are organized by content area, include directions for number of players, objective, and…

The paper discusses the results of a research project based on the field testing of a course aimed at developing arithmetic problem solving skills in primary school pupils. The course was designed to incorporate e-learning techniques, including the use of ARI@ITALES authoring tools. These tools allowed the integration in the course of…

This resource book contains 20 magic tricks based on the properties of whole numbers that are intended to spark the interest and imagination of students. Following each activity, students are asked to write about their discoveries and to create their own magic tricks. A matrix of skills for all the activities and lists of the materials required…

This resource book contains 15 magic tricks based on the properties of whole numbers that are intended to spark the interest and imagination of students. Following each activity, students are asked to write about their discoveries and to create their own magic tricks. A matrix of skills for all the activities and lists of the materials required…

Word problems can be especially difficult for elementary students. This resource provides busy teachers with a new problem for every day of the school year. Period quizzes assess how well the students are mastering the problems. Tips for working the problems are provided to the students. This is ideal for improving math skills while giving…

Presents (1) several activities on problem solving; (2) tips on creating a classroom climate favorable for problem-solving performance; and (3) a source of background materials for teachers. (JN)

Utilizing three exemplary problem-solving tasks within an arithmetic framework, this article discusses the four focal components deemed necessary for the improvement of mathematics teaching, namely task appropriateness, avenues of classroom discourse, the intellectual climate within the classroom, and proper and effective methods of analysis. (JJK)

Describes types of puppets, including finger, glove, hand, shadow, marionette, and mechanical. Gives reasons for using puppets with children ages two through seven, including enhancing language and thinking skills. Explains how teachers can introduce tough issues such as AIDS and abuse through puppetry. Details a sequence of activities for…

The case-based study, which presents students with a dilemma that encourages exploration, is becoming a popular method for teaching biology. This Web-based report offers one such case study that asks readers to solve problems and make decisions based on information gathered as they engage with characters or situations in the story. The basis for…