Mathematical problems when solved with different approaches deepen the understanding of topics learned. It is reported that weighted average is commonly used in applications and the relationship between all the ratios involved in the problem emphasized could be learned from Farey sum of two fractions.

The presidential election that frequently features the results of political polling is presented. These polls attempt to estimate the popular vote that each candidate would receive as they could predict who would win the elections.

An initial discussion of the use of recursive and explicit reasoning in developing mathematical power and the types of tasks that encourage students to reflect on the advantages and limitations are described. Some important considerations for classroom discussion when using these various tasks are discussed.

The generalization of the solitaire checker puzzle and the attractive patterns that emerge during the process of solving the puzzle, as well in analyzing the minimal solutions of various cases are discussed. Both linear and quadratic patterns are intrinsically linked to this game and the shift from one to the other involves only a slight change…

Teachers incorporate the chaos game and the concept of a fractal into various areas of the algebra and geometry curriculum. The chaos game approach to fractals provides teachers with an opportunity to help students comprehend the geometry of affine transformations.

A study is conducted to prove Kaprekar's conjecture with the help of mathematical concepts such as iteration, fixed points, limit cycles, equivalence cases and basic number theory. The experimental approaches, the different ways in which they reduced the problem to a simpler form and the use of tables and graphs to visualize the problem are…

Brian Wansink, director of the Food and Brand Lab at the University of Illinois, finds that the size of a package, the shape of a glass, the words on a menu or label, proximity to food, and other invisible influences could determine the quantity of what one eat.

One of the things that mathematician like to do is to collect empirical data on some mathematical subject and then to try to discover whether the values indicate that an underlying pattern exists. The conclusion states that almost no pattern is likely to continue unless mathematically shown to do so by rigorous proof.

Teachers can help students build a disposition to use connections in solving mathematical problems, rather than mathematics as a set of disconnected, isolated concepts and skills. One activity that addresses the criteria that involve problem solving, reasoning, communication, and representation that together create a vision that encourages…

American university offers a course in finite mathematics whose focus is difference equation with emphasis on real world applications. The conclusion states that students learned to look for growth and decay patterns in raw data, to recognize both arithmetic and geometric growth, and to model both scenarios with graphs and difference equations.

Different representations of rational numbers are considered and students are lead through activities that explore patterns in base ten and other bases. With this students are encouraged to solve problems and investigate situations designed to foster flexible thinking about rational numbers.

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.

Learning through discovery and inquiry is one of the cornerstones of mathematics education theory. The examples provide scope for the students to rediscover mathematics in an enjoyable way.

Rene Descartes lived from 1596 to 1650. His contributions to geometry are still remembered today in the terminology "Descartes' plane". This paper discusses a simple theorem of Descartes, which enables students to easily determine the number of vertices of almost every polyhedron. (Contains 1 table and 2 figures.)

This article discusses how paper folding can be used in the classroom to introduce the standard results of school geometry, such as the transversal and parallel lines results, along with results concerning angles in convex polygons and centres of triangles, for example. Angle bisectors, midpoints, perpendiculars are all straightforward…