Howard A. Peelle

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In an effort to understand “APL thinking”, we examine a few selected examples of using APL to solve specific problems, namely: compute the median of a numerical vector; simulate the Replicate function; string search; carry forward work-to-be-done in excess of capacity; rotate concentric rectangular rings in a matrix; find column indices of(More)
The binary Gray code is fun, For in it strange things can be done. ~ntrQduetiQn This paper uses A Programming Language to provide a perspicuous representation of the recurslve algorithm for generating the reflected binary Gray Code. Further, the APt definition is compared with the definition of a recursive function for generating standard binary numbers; a(More)
This paper describes a curriculum unit in which APL is used to introduce models of neural networks. It begins with a simple model for transmitting impulses among a vector of logical neurons; then a more sophisticated model is developed with thresholds, decay, and inhibition in a matrix of neurons; then a general model is offered for higher order arrays of(More)
This paper discusses “APL teaching bugs”, in three senses: (1) issues inherent in the teaching of APL that confront the instructor with difficult choices; (2) potential mistakes sometimes made by instructors teaching APL; and (3) problematic aspects of the design of APL that are especially difficult to explain. These teaching bugs are presented(More)
Seven alternative representations of Rubik's Cube are presented and compared: a 3-by-3-by-3 array of 3-digit integers; a 6-by-3-by-3 array of literals; a 5-by-12 literal matrix; an ll-by-ll sparse literal matrix; a 54-element vector; a 4-dimension array; and a 3-by-3-by-3 nested array. APL functions are given for orientation moves and quarter-turns plus(More)
A new teacher education program has been inaugurated at the University of Massachusetts' School of Education under the title "Computer Augmented Teacher Training". The CATT program places the computer in a central role--particularly the activity of programming--in order to augment the cognitive, affective, and social competencies of prospective mathematics(More)