A dynamic program for geometry called Cabri Geometry II is used to examine properties of figures like triangles and make connections with other mathematical ideas like ellipse. The technology tip includes directions for creating such a problem with technology and suggestions for exploring it.

Mathematical reasoning is the cornerstone of mathematics learning and should be the focus of mathematics teaching. Two mathematical problems are presented, which describe students' responses, and highlight how students demonstrated mathematical reasoning in the midst of working on these problems.

Teachers should not assume a problem is difficult for the students just because it appears difficult. A teacher solves one such difficult mathematical problem, an egg dilemma problem.

The focus of "Synthesis", the most visible part of the information problem-solving process, varies depending on the original task. Organizing information and presenting information are the two forms of Synthesis and they are very important for the students as they can save time and effort, and do a better job, by using technology in meaningful…

An ARO/Rh Blood-Typing kit useful for students to visualize blood-typing activities and practice problem-solving skills with transfusion reactions is presented. The model also enables students to identify relationships between A, B, and Rh antigens and antibodies in blood and to understand molecular mechanisms involved in transfusion agglutination…

The application of knowledge in authentic learning situations involves steps like finding and focusing on the problem, gathering information, critically analyzing and effectively communicating the results. The change in the teacher's approach and encouraging use of enrichment clusters system among the students is discussed.

The calculations of uncertainties in the formula or molar masses of compounds are streamlined. Three rules of increasing complexity are proposed, which overestimate the uncertainty so there is little if any risk that the true values are missed.

They are an unbeatable combination: Grog Sennema, digital resources librarian at Calvin College's Hekman Library, and Jed Koops, library systems programmer. This brief article discusses these two library employees and and how they worked together to solve many issues within their library system.

States that all good economic analysis is structured like classic detective fiction. Explains that the economist's epistemology, when presented in scientific narratives, runs parallel to the puzzle-solving process of mastermind sleuths presented in fictional narratives. Indicates the concept of equilibrium is another important and common…

This note discusses a possible method for teaching an example of problem solving to intermediate grade students. Under the guidance of the instructor, students may see the links between the 'guess' method and the arithmetic operation 'strings'. This may help enhance their logical thinking ability as well as arithmetic operation skills. For…

This is the story of the first American mathematics journal. According to its title page, the journal was "adapted to the present state of learning in America" and "designed to inspire youth with the love of mathematical knowledge, by alluring their attentions to the solutions of pleasant and curious questions".

This paper describes how the method of steepest descent can be used to find periodic solutions of differential equations. Applications to two suspension bridge models are discussed, and the method is used to find non-obvious large-amplitude solutions.

CAPTCHAs are images used on the internet by companies that want to block computer programs from their site. This article presents a method for solving some of these puzzles.

This article describes a method of solution that Ramanujan may have used in solving the following puzzle: The number of a house is both the sum of the house numbers below it on the street and the sum of those above it. (The houses on a street are numbered consecutively, starting with 1.)

At each point of an ellipse one can attach a normal vector and a radial vector, the latter defined as the vector from the center of the ellipse. At the ends of the major and minor axes, the two vectors coincide, but at all other points they are separated by an angle [delta]. What is the maximum value that [delta] can attain, and where does it…