A BASIC program is given for a game that encourages the use of logical reasoning in solving number puzzles. (MP)

Sequences resulting from variations of the conditions of the original Fibonacci problem are investigated. (MN)

The technique of organizing data in tables to solve counting problems in geometry is illustrated in the solution of five problems. (MN)

Use of graphs in studying greatest common divisors, least common multiples, and other concepts can illustrate patterns related to the definitions of these concepts. (SD)

Reviews pattern recognition techniques of multivariate statistical analysis as a means of data reduction. (SL)

Some mathematical patterns are explored by visualizing and counting line segments, squares, cubes, and relationships between them. (JT)

Through the use of sequences, geometric progressions and permutations, the author investigates some interesting and unusual questions concerning the number of moves required by each disc in solving the Tower of Hanoi puzzle. (JT)

The experiments reported here are aimed at exploring in more detail the possibility that context can improve perception itself. In particular, they are concerned with clarifying the conditions under which context might aid perception and with localizing the stage of processing at which context would have its effects. (Author)

Worksheets to be used for practice on addition and multiplication are provided. (SD)

Experiment 1 compared 6- and 8-year-old boys in inter- and intramodal matching of fast or slow spatiotemporal patterns with long or short interpattern intervals. Experiment 2 made the same comparisons for 7- and 9-year-old boys using temporal patterns. (Author/JMB)

Measured the pattern goodness effect at visual encoding stages and short term memory stages in observers aged 6 to 22 years using a speeded sequential same-different paradigm. Found goodness effects were larger in short term memory for all subjects, memory effects decreased with age, and encoding effects remained constant. (SKC)

Activities on estimation and mental computation are presented. Patterns on a hundred chart, an amazing fact, teaching and testing tips, and other references are included. (MNS)

An activity project is described which encourages students to question and experiment. Appendices provide examples of student results. (MNS)

Three theorems for Pythagorean triples are presented, with discussion of how students can amend their ideas about such numbers. (MNS)

Some activities are provided to help students develop a conceptual understanding of perimeter, area, and volume, as well as developing skills in spatial visualization and formulating generalizations. (MNS)