The goal of this" Statement on Competencies in Mathematics Expected of Entering College Students" is to provide a clear and coherent message about the mathematics that students need to know and to be able to do to be successful in college. While parts of this Statement were written with certain audiences in mind, the document as a whole…

To meet the immense challenges society faces in areas such as energy, health, and environmental protection, science teachers and teacher educators need to invest in the creation of classroom cultures that turn the intellectual heavy lifting over to the students while developing students' identities as competent learners. The vision is that…

This article describes a teacher-led school "Mathematics and Science Leadership Academy" (MSLA) that is part of the Denver Public Schools. At MSLA, teachers collaborate to make authentic and substantive decisions about how the school operates and seek to meet each student's needs. At teacher-led schools, teachers hire their own…

Designing opportunities for students to discover core science concepts can be challenging, however, with a good understanding of their interests, proper planning, and the use of technology and the outdoors, students can become engaged in a way that can leave a legacy for future students. Last fall, this author designed a nine-session unit for a…

Most special education administrators do not get the chance to network regularly with professional peers to discuss job challenges and strategies. School-district special education directors routinely juggle complex, difficult, time-consuming, and emotion-laden job demands, but when things get tough, they usually find themselves solving problems…

Planning ahead, practicing your response for various scenarios, being open and honest, showing empathy and respect for other peoples' perspectives and assuring stakeholders that you have the situation covered are the foundations of communicating successfully during a crisis, experts say. This article provides strategies for Community College…

The "Monty Hall" problem or "Three Door" problem--where a person chooses one of three doors in hope of winning a valuable prize but is subsequently offered the choice of changing his or her selection--is a well known and often discussed probability problem. In this paper, the structure, history, and ultimate solution of the…

Skyscrapers sure do have a lot of windows, and these windows are cleaned and checked regularly. All this takes time, money, and puts workers at potential risk. Might there be a better way to do it? In this article, the author discusses a window-washing challenge and describes how students can tackle this task, pick up the challenge, and creatively…

Terms to be familiar with before you start to solve the test: tryptophan, transcription unit, operon, "trp" repressor, corepressor, operator, promoter, palindrome, initiation, elongation, and termination of transcription, open reading frame, coupled transcription/translation, chromosome-polysome complex. (Contains 2 figures and 1 footnote.)

In this article, the authors describe an inexpensive and simple way to make students intuitively experience the probabilistic nature and nonorientated motion of diffusing particles. This understanding allows students to realize why diffusion works so well over short distances and becomes increasingly and rapidly less effective as the distances…

Students who otherwise seem unreachable through traditional approaches to algebra require some alternative teaching methods. So do teachers who seek to add elements of freshness and innovation to their classrooms or who simply appreciate variety. This article offers some unconventional techniques for teaching a few conventional algebra topics.…

This article proposes a unified framework for understanding creative problem solving, namely, the explicit-implicit interaction theory. This new theory of creative problem solving constitutes an attempt at providing a more unified explanation of relevant phenomena (in part by reinterpreting/integrating various fragmentary existing theories of…

Consulting is a type of helping relationship that usually occurs in a context whereby the consultee (teacher) is trained for the purpose of helping the client (student). The goal is to address a situation in order to solve problems within it and to empower consultees by training them to recognize needs and the resources available to them. The…

Student teachers make errors in their practicum. Then, they learn and fix those errors. This is the standard arc within a successful practicum. Some students make errors that they do not fix and then make more errors that again remain unfixed. This downward spiral increases in pace until the classroom becomes chaos. These students at the…

It has been well-documented that many students do not understand the meaning of the equal sign. Thus, researchers have called for instruction that specifically addresses misconceptions about the equal sign, and have indicated that such work must start at the elementary level. In response to these recommendations, some state curriculums require…