An investigation of patterns in magic triangles leads to a number of discoveries concerning the sums of sides and corners. (MP)

The ability of students to sort cards based on surface features and deep patterns is investigated. The effect of the presence of variables and what makes a pattern difficult or easy for students to recognize are discussed. Study revealed that students are unsuccessful at making connections between expressions, sentences, and sequences which share…

Described is a project in a third grade class in which problem-solving skills are developed through activities with patterns. Activities for growing picture patterns, making number tables, and developing open sentences or formulas are discussed and illustrated. (MNS)