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Peer reviewedPosamentier, Alfred S. – School Science and Mathematics, 1975
A method of summing finite sequences by use of formal power series techniques is described. (SD)
Descriptors: Algebra, Curriculum, Induction, Instruction
Peer reviewedSpeck, Royce A. – School Science and Mathematics, 1979
A coordinate system is imposed on a geoboard to form a table that leads to the discovery of the formula n[(n+1)(n+1)] (n+2)/12. Proof is by induction. (MP)
Descriptors: Algebra, Geometric Concepts, Mathematical Formulas, Mathematics
Peer reviewedOuellette, Hugh – School Science and Mathematics, 1979
A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)
Descriptors: Algebra, Induction, Mathematics Education, Pattern Recognition
Peer reviewedToumasis, Charalampos – School Science and Mathematics, 1994
Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)
Descriptors: Algebra, Discovery Processes, Learning Activities, Mathematics Education
Peer reviewedErickson, Donna Bird – School Science and Mathematics, 1991
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…
Descriptors: Algebra, Arithmetic, Attention, Fractions
