The situations created by individual style of problem solving in mathematics by children are discussed. Children can solve their mathematical problem by correcting their misconceptions on their own with the use of open discussions with others.

The purpose of this article is to provide five empirically-derived guidelines for knowledge map construction tools that facilitate problem solving. First, the combinational representation principle proposes that conceptual and corresponding procedural knowledge should be represented together (rather than separately) within the knowledge map.…

In this article, urban students explore powerful ideas from multiple perspectives. It concludes that academical success and importance of maintaining good teacher-student ratio, reinforcing meaning, making learning encourages problem solving ability among the students. Exploring ideas from multiple sources like educational books, images, and…

Inquiry-based instruction teaching helps students to think independently and scientifically, which in turn enables problem solving ability in them. Different approaches to encourage inquiry-based instructions like verification approach, and discovery approach are discussed by matching the background knowledge and reasoning skills among the…

A real-life experience that provides an ideal opportunity to combine problem-solving skills, critical thinking, and collaborative learning is described in the content of a realistic instrumental analysis laboratory. This practical experiment can be used in an instrumental analysis or analytical course.

Weak and counterintuitive findings linking couples' interactional processes to marital outcomes have prompted new lines of research on how marriages change. Recent findings reviewed here highlight the value of (a) expanding conceptions of marital interaction by considering how social support and positive affect moderate the effects of…

Discusses a real-world problem-solving lesson that emerged when a high school math teacher used a motion detector with a CBL and graphing calculator to obtain the bounce data of a ping-pong ball. Describes the lesson in which students collect bad data then fill in the missing parabolas that result using critical components of parabolas and…

Describes the Six Circle problem which consists of the numbers 1-6, six circles, and asks whether it is possible to put the numbers in the circles--which are configured in a triangle--so that the sums of the three numbers on either side are the same. (NB)

As teachers and researchers belonging to two sister French engineering schools, we are convinced that the processes of value creation and management are essential in today's teaching of industrial engineering and project managers. We believe that such processes may be embedded in a three-part curriculum composed of value management and innovation…

Performance feedback and checklists were used to improve the degree to which middle-school teams adhered to elements of systematic problem solving as described in the Instructional Consultation literature (Bartels & Mortenson, 2002; Rosenfield, 1987). Direct observations of problem-solving meetings were conducted to determine levels of adherence…

A method for generating sums of series based on simple differential operators is presented, together with a number of worked examples with interesting properties.

The analysis of tautochrone problems involves the solution of integral equations. The paper shows how a reasonable assumption, based on experience with simple harmonic motion, allows one to greatly simplify such problems. Proposed solutions involve only mathematics available to students from first year calculus.

This paper focuses on the representation of a proper fraction "a"/"b" by a decimal number base "n" where "n" is any integer greater than 1. The scope is narrowed to look at only fractions where "a","b" are positive integers with "a" less than "b" and "b" not equal to 0 nor equal to 1. Some relationships were found between "b" and "n", which…

The Bernoulli numbers are among the most interesting and important number sequences in mathematics. They first appeared in the posthumous work "Ars Conjectandi" (1713) by Jacob Bernoulli (1654-1705) in connection with sums of powers of consecutive integers (Bernoulli, 1713; or Smith, 1959). Bernoulli numbers are particularly important in number…

Based on contemporary theories of learning, this article takes a critical view of the concept of learning objects. Learning objects decompose content into granular pieces of information that can be stored, retrieved, and reused in instruction. Current conceptualizations of learning objects support traditional, objectivist forms of instruction.…