This research is a quasi-experimental study with the following objectives: 1) To examine the effectiveness of cooperative learning activities using the TAI technique combined with activity-based learning on the topic of congruence for students at Roi Et Rajabhat University, aiming to achieve the 75/75 efficiency criterion. 2) To compare…

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…

This study aims at exploring processes of flexibility and coordination among acts of visualization and analysis in students' attempt to reach a general formula for a three-dimensional pattern generalizing task. The investigation draws on a case-study analysis of two 15-year-old girls working together on a task in which they are asked to calculate…

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…

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…

An investigative activity dealing with where to pitch a tent at a campsite is described. (MNS)

Compares observed to expected counts of white, African American, and Hispanic major-league baseball players (n=650) in 1989. Uses chi-square values to determine that racial differences are highly significant for pitcher, catcher, shortstop, and outfielder. Includes appendix with 1993 player counts and seven suggested student activities. (SEW)

Introduces a science activity where students were asked to purchase four different sizes of eggs; weigh the content of each; and determine whether small, medium, large, or extra large eggs are the best buy. Describes the data analysis process. Also introduces various science activities that make use of the egg shell. (MOK)

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…

Practical decisions involving fuel economy are shown to require important skills from secondary school algebra and analysis. (MP)

An application of the integration of polynomials is presented as an example of how integrals can be used in areas outside mathematics and mathematical physics. (MP)

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)

Problem solving is presented as a resource for creating curriculum through reflections on intuition such as: exploring available intuitions, making explicit the intuitions used, and using intuition to generalize. (MP)

This experiment designed for beginning physics students, is related to postal regulations restricting the size of envelopes. A graph is constructed that allows for testing the mailability of envelopes. (MP)