A key motivational tactic in undergraduate mathematics teaching is to launch topics with fundamental questions that originate from surprising or remarkable phenomena. Nonetheless, constructing a sequence of tasks that promotes students' own routes to resolving such questions is challenging. This note aims to address this challenge in two ways.…

Twenty years ago when the author was student teaching, he quickly learned what geometry teachers and researchers (e.g., Senk 1985) have long known: High school geometry students struggle with proof. Throughout his career, he has tried to create instructional materials to make proof more accessible to his students. From field-testing materials with…

Teaching the acoustic properties of materials is a good way to teach physics concepts, extending them into the technological arena related to materials science. This article describes an innovative approach for teaching sound and acoustics in combination with sound insulating materials in secondary school (15-16-year-old students). Concerning the…

This report summarizes recommendations from NCTM, NRC, CCSSM, NMAP, and IES to guide early numeracy instruction for elementary age students in general and special education classroom settings. We highlight common threads among general and special education research recommendations and provide a numeracy intervention curriculum model connecting…

In an activity sequence that took place over several days, the class learned about sound and how people hear sounds. Following each activity, students engaged in whole-group sharing sessions and individual journal-writing sessions that were designed to help them see the patterns that emerged from their explorations. The activities were carefully…

A variety of excellent method books aim to help student musicians develop skills in music reading and instrumental technique, but sometimes the best approach is not simply to move ahead line by line through the book. Rather, teachers will find it beneficial to consider apposite strategies to be used before, during, and after rehearsing a line so…

This paper focuses on the use of scaling aspects for understanding transport processes with reaction in catalytic pores and pellets. The idea is to identify a systematic up-scaling approach in the learning process to help students with several concepts related to the transport-reaction process and the mathematical description associated with them.…

The premise underlying this article is that identifying and using the "five practices model" can make discussions of cognitively challenging tasks more manageable for teachers. By giving teachers a roadmap that they can follow before and during whole-class discussions, these practices have the potential for helping teachers more effectively…

Traditional education, employing lectures or telecommunicative instruction methods, has been very effective in providing topical facts. However, the development of student skills and thinking ability require higher levels of instruction and more opportunity to practice and apply acquired knowledge. As students progress through a particular…

If you are interested in using sequential art forms such as comic books in your EFL classroom, this article is full of helpful advice. Reading sequential art is beneficial because students can work with authentic texts with real language and graphic support. Students can also apply research and cultural knowledge to the creation of their own…

Presents a developmental approach to teaching programing at all educational levels which stresses concepts rather than syntax; provides motivation, relevant examples, and activities; proceeds from concrete to pictorial to abstract according to age and experience of learners; and utilizes increasingly complex activities building upon and extending…

Bioinformatics is one of the fastest growing scientific areas over the last decade. It focuses on the use of informatics tools for the organization and analysis of biological data. An example of their importance is the availability nowadays of dozens of software programs for genomic and proteomic studies. Thus, there is a growing field (private…

This annotated bibliography on mastery learning, intended for use by teachers, administrators, curriculum-planners, and researchers, covers writings and reports on the following topics: (1) research reports; (2) use of mastery learning concepts and strategies; (3) task skills analysis; (4) sequential learning; (5) learning hierarchies; (6) task…

Discussed is a report of a British government advisory group concerning programs of study in mathematics education, as related to students with special education needs. Described are the progression of levels, the spread of levels normal for particular age groups, and the notion of age determining the work of students. (JDD)

Discusses improvisation as a phenomenon. Offers suggestions for a learning sequence. Warns against allowing students to skip levels. Identifies developmental levels of improvisation as exploration, process-oriented, product-oriented, fluid, structural, stylistic, and personal improvisation. Urges that improvisation can and should be a meaningful…