A critical aspect of mathematics study is developing both understanding of quantities and fluency in manipulating them. These abilities are essential for students who intend to enter technical or scientific professions. All students, however, should be exposed to methods of quantitative reasoning in order to function effectively in today's…

Problem solving is a necessary component of developing a strong mathematics curriculum that will help all students achieve their life goals, regardless of their specific academic plans. What day-to-day instructional decisions do teachers need to make if they believe that problem solving is a vehicle for learning mathematical content? In this…

The article explores the author's learning as she interviewed students who participated in a data analysis unit. The article features students' comments and raises issues that are pertinent to supporting students' understandings of data analysis and their views of their own mathematical capabilities. (Contains 1 figure.)

The investigation of how a circle and square lying in the same plane could intersect each other is an excellent example of geometric problem-solving. This paper explores three facets of the investigation: (1) finding out how many points of intersection are possible, (2) classifying the different ways of intersection, and (3) determining which ways…

As a result of frequently hearing students comment that the language used in mathematics is "like hearing a foreign language," the author investigated this perception by studying a ninth-grade mathematics classroom. Using transcriptions of classroom discussions and semistructured interviews with students, her findings suggest that students…

The Country Data Project was developed for eighth-grade students of Milwaukee public schools to make them understand the importance of numbers by making them interpret the full descriptions of people of various countries by analyzing the numbers summarizing the population distribution of the respective country. The results prove that the project…

The Career Mathematics file is an occupational problem-solving system, which includes a wide range of mathematical problems and solutions, collected from various resources and helps students establish connections between mathematics and their environment. The study shows that the problems given can be used as realistic examples to study and…

The preliminary findings resulting when invented algorithm is used with entry-level students while introducing linear equations is described. As calculations are accessible, the algorithm is preferable to more rigorous statistical procedures in entry-level classrooms.

A study is conducted regarding the change in teaching process in the geometry of transformations, teaching by small steps rather than by a complicated method. In the process of making mathematics teaching better, many challenges are faced, and several risks are taken to solve the questions asked by the students.

Study was conducted on how the students were made to think meaningfully and widely within and across the representations in solving and identifying functions in precalculus, without the usage of the vertical line test. It was concluded that the "no vertical line testing" method proved to be easily accessible by all students and also made them…

The introduction of quilt pattern consisting of many quilt blocks formed by congruent triangles, for writing by the students in the geometry classrooms, is studied. It is found that the students enjoyed this method and writing also helped in understanding the geometric concepts expanding their vocabulary in geometry.

A study was conducted on some of the tips given to the students for capturing the video of the dynamic activity on their computer screens. It was found that the above activity of creating a video proved to be useful to the mathematics educators and the students for presentation in the conference or in the classrooms.

Choosing challenging problems to facilitate student learning of new mathematics is a difficult task so by using open-ended problems with prospective mathematics teachers, the potential solution characteristics were studied. It is shown that considering the conceptual diversity of solutions helps students develop a better sense of different…

The use of laptops and other technology in teaching and learning of algebra 1 was found to add new dimensions to the way students studied the subject. But all its positives and negatives are still to emerge and students also need to be comfortable using the computer technology.

The research team of the Purdue University in the United States developed an algorithm that considers several different factors, in addition to cost, to help catalog distribution centers process their returns more efficiently. A case study to teach the students important concepts involved in developing a solution to the returns disposition problem…