Previous studies have found that children have difficulty solving proportional reasoning problems involving discrete units until 10 to 12 years of age, but can solve parallel problems involving continuous quantities by 6 years of age. The present studies examine where children go wrong in processing proportions that involve discrete quantities. A…

This report describes a program for increasing the thinking skills of fourth grade students in one classroom in northern Illinois. Both objective and subjective data gathering found that students experienced difficulty in relating and applying facts and concepts on tasks requiring more sophisticated thinking. Solution strategies combined with an…

This report describes a program that used both critical and creative thinking skills to enhance the educational process in language arts. The targeted population consisted of fourth- and seventh-grade students in two growing, middle-class communities located in northern Illinois. The lack of higher-order thinking skills was documented through…

"Options". "Opinions". "Challenges". These are the key words used by a group of gifted 3rd- and 4th-grade students when asked what they want out of math. Although not surprised by the desire for challenges, most of the author's colleagues are intrigued by the students' wishes for options and opinions in math. After…