The analogical reasoning isn't used only in mathematics but also in everyday life. In this article we approach the analogical reasoning in Geometry Education. The novelty of this article is a classification of geometrical analogies by reasoning type and their exemplification. Our classification includes: analogies for understanding and setting a…

The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…

Describes Chomp, an educational strategy game for use in high school programming courses that can encourage cooperative learning. Discusses rules of the game; Chomp players; Chomp board programs; Chomp tournaments; Chomp strategies; and extensions of the activity that can involve more advanced mathematics. (LRW)

When studying mathematics, students often ask the age-old question, "When will I ever use this in my future?" The activities described in this article demonstrate for students a process that brings the power of mathematical reasoning to bear on a difficult decision involving multiple criteria that is sure to resonate with the interests of many of…

Outlines two experiments by which several different mathematical topics can be integrated into the unifying theme of oscillating pendulums, as part of a secondary school Algebra II and Trigonometry class. (CS)

Genetic algorithms (GAs) are a problem solving strategy that uses stochastic search. Since their introduction (Holland, 1975), GAs have proven to be particularly useful for solving problems that are "intractable" using classical methods. The language of genetic algorithms (GAs) is heavily laced with biological metaphors from evolutionary…

Described are the background, structure, themes, methodology, projects, and assessment for the course. A list of themes is provided. Results of the piloting of the course are discussed. (CW)

The article presents an integrated exposition of aspects of secondary school mathematics and a medical science specialty together with related classroom activities. Clinical medical practice and theoretical and empirical literature in mathematics education and radiology were reviewed to develop and pilot model integrative classroom topics and…

Describes the characteristics that must exist for a secondary school curriculum to be successful with all students and the crucial elements needed for its implementation. An example of one such program, the Interactive Mathematics Program, is discussed along with the program's outcomes, some political consequences of the activity, and the…

This mathematics curriculum is designed to be taught by the technology education teacher during the power technology class over a period of 2 years. It is intended to be elective in nature; upon successful completion of both years, one-half credit in mathematics is to be awarded. A list of the academic competencies contained in the curriculum…

Tape counters on recording equipment indicate the number of revolutions made by the take-up reel as magnetic tape is wound on it. Relating the number of minutes of play of the machine to counter values poses interesting problems. Five problems are presented as well as background information for their solution. (JN)

Details of a Math Day held at an elementary school are presented. The day was developed because of a perceived need to provide pupils with experiences that would help them develop positive attitudes and view mathematics as more than just an isolated subject comprised of only computational skills. (MP)

Some activities involving distances and diameters in the solar system are discussed. (MP)

Describes a series of activities in which students collect data on personal information and interests and use them to create a database file. Constructing a database gives students the opportunity to satisfy their natural curiosity and use numbers as they make predictions, develop number and operation sense, and explore data, fractions, and…