Presents a collection of problems focusing on: (1) squares in arithmetic and number theory; (2) squares in geometry; (3) topics blending arithmetic and geometric aspects of squares; and (4) squares and Logo. A sample student worksheet (with answers) is included. (JN)

Describes the current use and potential of the LOGO programing language in a variety of educational situations. (JL)

Seymour Papert, creator of LOGO, explains how he came to create this important problem-solving language and how he intended it to be used to foster learning among children. What children can do with turtle geometry (indicated to be a natural approach to mathematics) is one topic considered. (Author/JN)

This study investigated the effectiveness of LOGO's turtle graphics in both providing a model of systematic thought and in teaching simple geometry to young children in the second grade. The treatment given to 25 second grade students in the experimental group consisted of programming with LOGO's turtle graphics using four Apple II+…

Discusses problem solving in mathematics instruction and examines the role of students, teachers, and computers in the problem solving process. Seven sample problems that require high school mathematics and some knowledge of a programing language are offered for use in exploring the problem solving process. (LRW)

Results of a survey of secondary schools indicate that the use of computers, especially for instructional purposes, has grown rapidly. However, the diversity of use is still limited. The most prevalent applications are problem solving and Electronic Data Processing (EDP) skills training. The major emphasis of computer application is on teaching…

Use of a computer programming language in problem-solving activities provides an opportunity to examine how young children use a restricted set of language primitives. The generation, and execution of computer instructions was used as a verification stage in the problem-solution process. The metric is intended to provide a descriptive…

This study was conducted to determine whether young children, given the experience of Logo programming, would acquire problem-solving skills and be able to transfer those skills to other areas. The study also investigated Logo's effectiveness in teaching certain fundamental geometric concepts to children who were supposedly not developmentally…

Discusses the use of the LOGO programing language as a problem-solving tool for elementary school students. Papert's theory is explained; the integration of LOGO into the language arts and math curricula is discussed; LOGO research is reviewed; and recommendations for future work are offered. (18 references) (LRW)

Described is a year-long study of the way a group of six 12-year-old children went about solving a special class of geometric problems using a computer and a limited set of LOGO programing tools. Examines solution strategies deciding whether those strategies led to insights about mathematical relations. (Author/MVL)

This document is the first of seven units developed by the Math Network Curriculum Project. Each unit, designed to be a 2-week module, is a teacher's guide which includes detailed directions along with the courseware and software needed. Teacher intervention in the non-computer activities that begin each unit is required, and the consistent use of…

This comparison of the effects of LOGO use with the use of teacher-directed problem-solving instruction, and with conventional mathematics instruction, focused on the problem-solving ability, basic skills achievement, and attitudes of junior high school learners. Students (N=97) in five seventh grade mathematics classes were systematically…