The paper argues that mathematical modeling is the essence of computational thinking. Learning a computer language is a valuable assistance in learning logical thinking but of less assistance when learning problem-solving skills. The paper is third in a series and presents some examples of mathematical modeling using spreadsheets at an advanced…

During the period 1729-1826 Bernoulli, Euler, Goldbach and Legendre developed expressions for defining and evaluating "n"! and the related gamma function. Expressions related to "n"! and the gamma function are a common feature in computer science and engineering applications. In the modern computer age people live in now, two…

This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…

The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…

A computer simulation of the Buffon Needle Problem for estimating the value of pi is discussed. (MP)

Teachers and teacher-trainees are provided with comprehensive information about how to use computers in secondary school education. The book covers planning, content and methodology and can be used as a text for methods courses in computer science or as an in-depth supplement to texts in mathematics methods. Part I deals with computer science in…

A test of the hypothesis that writing and using computer programs related to selected mathematical content positively affects performance on those topics. Results particularly support the hypothesis. (MM)

This SMSG study guide is designed to aid the teacher in acquiring familiarity with digital computer concepts or to further his/her knowledge of the field. Suitable references for important topics are categorized as central, peripheral, or advanced. Topics covered include: (1) nature and organization of computers; (2) problem analysis; (3)…

This document describes how to teach a computer to add numbers using the LOGO programing language. The programing project is described in the way a student might develop it. The model of developing the program uses humans as an anthropomorphic model for the computer, and the computer as a model for people. The document has an unorthodox style, as…

Provides an annotated list of references for educators on using computers in the classroom and for researchers in gathering background materials for the preparation of articles, grant proposals, and presentations. Focuses specifically on probability and computers. (ML)

Loan and estimated payment problems are featured in this presentation of mathematics-oriented programing tasks designed for the beginning student. (MP)

This publication is a compilation of abstracts and critical comments for 12 published investigations in mathematics education. Information for each study includes: purpose; rationale; research design and procedures; findings; and interpretations. For each study also, abstractor's comments provide a brief critique. The 12 studies are: (1)…

Given the high importance to this Nation's future of strengthening the quality of instruction, and access to that instruction, in the critical subjects supported by Title II of the Education for Economic Security Act, every effort should be made to widely and effectively share program successes. This Special Program of Exemplary Projects is one…

This publication is an abstracted compilation of 11 investigations. The information includes purpose, rationale, research design and procedures, findings, interpretations, abstractor's comments, previous research, procedure and statistical methods, and further research. Contained within are: (1) "Gender-Based Differential Item Performance in…