This article explores the algebra that can be uncovered in many middle-grades mathematics tasks that, on first inspection, do not appear to be algebraic. It shows connections to the other four Standards that occur in traditional algebra problems, and it offers strategies for modifying activities so that they can be used to foster algebraic…

An analysis of the 1990 National Assessment of Educational Progress (NAEP) found that only 46 percent of all high school seniors demonstrated success with a grasp of decimals, percentages, fractions and simple algebra. This article investigates error patterns that emerge as students attempt to answer questions involving the ability to apply…

This laboratory exercise encourages upper level biochemistry students to build and expand upon previously developed laboratory skills and knowledge as they conduct a comparison of two methods of plasmid preparation based upon cost, quality of product, production time, and environmental impact. Besides creating an environment that mimics a more…

We now have pedagogical methods that can be successful--that is, effective--with most students at the undergraduate stage; one very promising method is problem-based or inquiry-based learning. (Contains 4 notes.)

This article tells the story of the design of Learning by Design(tm) (LBD), a project-based inquiry approach to science learning with roots in case-based reasoning and problem-based learning, pointing out the theoretical contributions of both, classroom issues that arose upon piloting a first attempt, ways we addressed those challenges, lessons…

Preservice teachers and current teachers alike face daily challenges that necessitate problem-solving skills. Conducting problem solving as a part of a group of professionals and the child's family can be beneficial because it encourages the offering of many perspectives, which allows for better understanding of the problem context. However, a…

In this article, the author describes a way of motivating learners to solve and reflect upon mathematical problems. The author wanted to find ways to help the Y6 class with their KS2 SATs, but more importantly she wanted to develop their interest and skills in solving mathematical challenges. She spent some time working on the idea of a "…

In this article, the author describes a week of "timely" open-ended lessons with a high ability Y9 group of boys. He gives lessons that would give the students some sense of purpose, as they try to generate a mathematical entity to represent something they used regularly. He states that understanding metric time is something his students…

The study aimed to determine if students in a redesigned course, firstly, hold different perceptions of the assessment demands and, secondly, adjusted their learning strategies towards deeper learning. Contrary to expectations, the students in the original assignment-based (ABL) course (n = 406 students) adopted more deep- learning strategies and…

The activity developed in an integrated high school course that was team-taught by both mathematics and science teachers examines linear equations developed from relationships in biology. These equations provide students with opportunities to see the way mathematics could be used to describe biological relationships, and then apply to solve…

This article discusses the effectiveness of a theoretical-based integrated learning environment (ILE) for training non-traditional learners to perform the skills required to be successful in entry-level jobs. The ILE places instruction in a real-world, workplace context with realistic settings, characters, and storylines. The multimedia interface…

Recently, the importance of an everyday context in physics learning, teaching, and problem-solving has been emphasized. However, do students or physics educators really want to learn or teach physics problem-solving in an everyday context? Are there not any obstructive factors to be considered in solving the everyday context physics problems? To…

This article explores the moral imperative for teaching multiculturalism from a classically pragmatic point of view. Through an examination of the principles of classical pragmatism, embodied in the work of John Dewey, this analysis suggests that approaching multiculturalism from a pragmatic perspective lends a necessary moral foundation for the…

When a professional engineer solves a mathematical problem using technology, he/she generally uses a single one-step "high-level" command of a readily available computer package to obtain the solution immediately. This should not happen during his/her learning cursus. In an engineering mathematics course, the educator should decompose the solution…

The United States Military Academy (USMA) has a four course core mathematics curriculum that is studied by all students. The third course is MA205, Calculus II; a multivariate calculus course filled with practical applications. During a Problem Solving Lab (PSL), students participated in a hands-on exercise with multiple vector operations,…