Students can use geometric representations of numbers as a way to explore algebraic ideas. With the help of these representations, students can think about the relations among the numbers, express them using their own words, and represent them with letters. The activities discussed here can stimulate students to try to find various ways of solving…

For students who have difficulty envisioning how the mathematics that they are learning is used outside the classroom, an adventure as field mathematicians can be enlightening. Measuring stream discharge is a field experience that allows students to engage in a hands-on (and boots-on) real-world, problem-solving activity and that integrates…

This activity introduces students to the concept of reduction-oxidation (redox) reactions. To help students obtain a thorough understanding of redox reactions, the concept is explored at three levels: macroscopic, submicroscopic, and symbolic. In this activity, students perform hands-on investigations of the three levels as they work at different…

The ability to couple problem solving both to the understanding of chemical concepts and to laboratory practices is an essential skill for undergraduate chemistry programs to foster in our students. Therefore, chemistry programs must offer opportunities to answer real problems that require use of problem-solving processes used by practicing…

Students often view mathematics as a set of unrelated facts and procedures and fail to make the connections between and among related topics. One role of a teacher is to help students understand that mathematics is an interrelated discipline. Another role is to assist students in the scaffolding of their knowledge so that they can make connections…

This article tackles the problem of what should be done with real textual data that are contaminated by errors of recording, particularly when the data contain words that are misspelt, unintentionally or otherwise. (Contains 5 tables and 2 figures.)

We consider a problem appearing in an Australian Mathematics Challenge in 2003. This article considers whether a spreadsheet might be used to model this problem, thus allowing students to explore its structure within the spreadsheet environment. It then goes on to reflect on some general principles of problem decomposition when the final goal is a…

This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].

Throughout the profession's history, family and consumer sciences professionals have worked to consider what should be done about various social issues affecting individuals, families, and communities across the world. Hunger is a global issue pertaining to the right to life, human survival, sustainable communities, and promotion of healthy…

Imagine two fourth-grade classes. Both contain students of comparable demographics and highly respected teachers each with four to five years of experience. Both classes engage in science curricula that emphasize science and engineering practices as outlined in the "Next Generation Science Standards" (NGSS Lead States 2013). Both classes…

This article describes how one science teacher based an activity on designing smartphone apps to clearly and concisely communicate the interdependent relationships of a biological ecosystem. The teacher designed the activity to address several aspects of the latest science standards. Students needed to understand their ecosystem and synthesize new…

A Project Based Learning (PBL) methodology was used in the practical laboratories of the Advanced Physical Chemistry department. The project type proposed simulates "real research" focusing on sol-gel synthesis and the application of the obtained sol as a stone consolidant. Students were divided into small groups (2 to 3 students) to…

Teachers of young children can plan proactively so that they avoid some of the serious problem behaviors in the classroom. The strategies presented in this article are part of a problem solving approach to challenging behavior based on the principles of positive behavioral support. Although these methods presented here have research-based…

In a collaboration between the University of North Florida College of Education and Human Services and Sandalwood High School in Duval County, Florida, social studies and science education professors and a science teacher worked together to develop student understanding about the limited use of diesel-fueled cars in the United States when compared…

The Honors College program prepares leaders for the 21st century to become forces for positive change through problem-solving, scholarship, service, teamwork, and leadership. Its structure involves nine sequenced courses familiarizing students with challenges facing communities. Courses are team-taught by professors in different disciplines to…