Wednesday 19 August 2009

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Transactions: WSEAS TRANSACTIONS ON COMPUTERS
Transactions ID Number: 29-610
Full Name: Kenzo Iwama
Position: Research Director
Age: ON
Sex: Male
Address: 2-16-6 Higashi Jujo Kita-ku
Country: JAPAN
Tel: 81-35959-3775
Tel prefix:
Fax: 81-35959-3776
E-mail address: k-iwama@engicom.co.jp
Other E-mails:
Title of the Paper: a program that acquires how to solve problems in mathematics
Authors as they appear in the Paper: Machiko Fujiwara, Kenzo Iwama
Email addresses of all the authors: m-fujiwara@engicom.co.jp, k-iwama@engicom.co.jp
Number of paper pages: 10
Abstract: In mathematics, a sequence of sentences describes how to solve a problem; for instance, sentences, gCalculate the least common multiple of 10 and 15. Firstly divide 10 and 15 by 2. Results are e5f and ecannot dividef. e5f and ecannot dividef are not 1 and 1. Divide 5 and 15 by 2. Results are ecannot dividef and ecannot dividef.h and so on, describe how to calculate the least common multiple of 10 and 15. While example sequences of sentences are given to our program, the program transforms the example sequences to generate a procedure, pG, to solve a problem. For instance, a generated procedure, pGp, checks if a given number is a prime number, another procedure, pGc, calculates the least common multiple of any two numbers, and another procedure, pGf, adds given two fractions. This paper explains our program that generates procedures, one after another, each of which solves one mathematical problem. The paper also argues, as a result of generating a pro!
cedure, pG, the meaning of a sentence (or sentences) is represented in the generated procedure, pG.
Keywords: Acquisition of how to solve problems, Generation of programs from examples, Meaning of a sentence
EXTENSION of the file: .doc
Special (Invited) Session: A program that acquires how to solve problems in mathematics
Organizer of the Session: 620-320
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