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…

The purpose of this article is to contribute to the growing body of research that focuses on active learning techniques. Active learning techniques require students to consider a given set of information, analyze, process, and prepare to restate what has been learned--all strategies are confirmed to improve higher order thinking skills. Active…

The purpose of this study was to explore the experiences of four preservice teachers who used classroom inquiry and reflection to solve problems when implementing differentiated instruction in elementary classrooms during a practicum. Data from classroom observations, individual reflections, and discussions with a teacher educator were analyzed…

Over the last decade, WebQuests have grown in popularity in educational environments. In order to effectively implement a WebQuest in the classroom, best pedagogical practices must be employed; however, these best WebQuest practices should reflect the exigent 21st century skills students need to be successful, productive members of the global…

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…

External performance assessments for teachers of mathematics have traditionally been accomplished through reviews of student comments as well as through formal evaluations by superiors. Additionally, evaluating lecture-based teaching (as opposed to more active learning environments) focuses primarily on classroom performance, curriculum planning,…

Many educational development resources recommend making conventional lectures more interactive. However, there is little firm evidence supporting either the acceptability (to students) or efficacy of doing so. This research examined the use of short 'interactive windows' (discussions and problem-solving exercises) in first year evolution lectures…

In this article we analyze the dialogic learning of one pair of students in order to investigate how these students cope with a collaborative learning situation in the classroom. Our aim is to substantiate the claims that not only are young students (8 year olds) capable of solving mathematical problems collaboratively, but that they also take an…

Discussion of course structure in active learning at the college level looks at ways level and type of structure can be varied and manipulated to meet challenges presented by a diverse student body. Issues discussed include the relationship of structure to cognitive style and development, fitting structure to content and objectives, and what can…

This article describes a teacher's techniques and strategies for promoting productive discourse and supporting active learning in the mathematics classroom. The lesson excerpts included are from two days of a workshop with primarily middle-grades teachers. These excerpts demonstrate the teacher's typical progression through defining a problem,…

Data are presented from the first-year of a 4-year research project that aims to design a model for describing exemplary communicative practice using signed classroom discourse in the teaching of students who are deaf. Episodes are presented to illustrate how 10 teachers engage in dialogic knowledge building and exemplary communicative practice.…

Microsituations teaching is a case-based, active learning tool developed from cognitive learning theory to teach problem-solving skills to large classes while conserving faculty and other resources. Since implementing this method in an endocrine pharmacology course at the University of Kentucky, student performance on problem-solving examinations…

Details the process of implementing problem-based learning in the classroom, illustrated by a planning course. Problem-based learning is a promising method that helps students acquire the skills and knowledge to be more effective practitioners by tackling real-world problems. The instructor, as cognitive coach, ensures that students are active,…

Techniques for teaching electronic library research skills to college students with computer anxiety are outlined. The approach focuses on active learning techniques (journal writing, problem solving, sorting, database indexing, use of flow charts) using the ERIC bibliographic database and careful design of assignments that encourage active…