Sometimes it becomes a matter of natural choice for an observer (A) that he prefers a coordinate system of two-dimensional spatial x-y coordinates from which he observes another observer (B) who is moving at a uniform speed along a line of motion, which is not collinear with A's chosen x- or y-axis. It becomes necessary in such cases to develop…

Knowing the mathematics relating to a problem is one thing, but producing a tool to solve a practical example is often daunting. This article describes a case study which presented an interesting implementational challenge.

In order to think, to interpret and judge correctly, the humans have to comprehend what they have learned. Concepts are the abstract representatives of the classifications that are formed by objects, events, ideas and behaviors which have common specifications. (Fidan, N., 1985). Concepts reduce the complexity by simplifying the environment that…

Discusses brainstorming and brainwriting procedures used in creative problem solving, and gives 10 guidelines for using these techniques. (JOW)

Marion Walter, an internationally acclaimed mathematics educator discusses about problem posing, focusing on both the merits of problem posing and techniques to encourage problem posing. She believes that playful attitude toward problem variables is an essential part of an inquiring mind and the more opportunities that learners have, to change a…

This paper illustrates three academic units collaborative process to solve a design problem in the development of new wood products for the Historic Boone Tavern Hotel, Berea, Kentucky. The Boone Tavern Hotel chronology and renovation needs after 99 years are summarized. The Berea College Student Crafts Program is then described and the need for a…

This study examined teachers' positioning of English language learners (ELLs) and instructional strategies to support them within the Problem Solving Cycle professional development program. Using a communities of practice lens (Wenger, 2000) and building on literature related to supporting ELLs in mathematics, Mathematics Knowledge for Teaching…

In the past two decades, several major initiatives were launched to improve mathematics and science education. One prominent feature in these efforts was a new approach to teaching mathematics and science, referred to as "reform-oriented" teaching. Although past studies suggest this approach may improve student achievement, the relationships…

This study mainly explored the effect of applying web-based collaborative learning instruction to the accounting curriculum on student's problem-solving attitudes in Technical Education. The research findings and proposed suggestions would serve as a reference for the development of accounting-related curricula and teaching strategies. To achieve…

There are a plethora of variables which affect pupils in the classroom. These might involve the obvious such as uncomfortable temperature readings a well as the following: (1) small group work as compared to individual activities; (2) use of measurably stated objectives versus constructivism as psychologies of learning; (3) a very quiet…

Students (n = 328) from US and UK universities completed four self-report measures related to intellectual competence: typical intellectual engagement (TIE), openness to experience, self-assessed intelligence (SAI), and learning approaches. Confirmatory data reduction was used to examine the structure of TIE and supported five major factors:…

Rapid technological advances in the areas of telecommunications, computer technology and the Internet have made available to tutors and learners in the domain of online learning, a broad array of tools that provide the possibility to facilitate and enhance learning to higher levels of critical reflective thinking. Computer mediated communication…

This study determined the effects of the Explicit Inquiry Routine (EIR), a teaching routine, on the math performance of 14 middle-school students with math learning disabilities. The routine integrates validated mathematical teaching practices from general education (inquiry, dialogue) and special education (intensive, explicit instruction) to…

This paper defines correlation, describes the Mix It Up program, discusses the teachers' beliefs about the value of correlating mathematics and science prior to program participation, and identifies problems teachers associated with correlation before and during the program. Teachers' beliefs about the value of correlation and about the problems…