After a brief historical account of Leonardo Pisano Fibonacci, some basic results concerning the Fibonacci numbers are developed and proved, and entertaining examples are described. Connections are made between the Fibonacci numbers and the Golden Ratio, biological nature, and other combinatorics examples. (MDH)

Based on a two-tiered epistemological model (preliminary physical concepts and emerging mathematical concepts), studied the construction of number among 91 kindergarten students in France, Canada, and the United States. Subjects' cognitive numerical structures were surprisingly similar despite differences in language and culture. (SV)

Presented is a class activity, modeled after the game of bingo, which can provide a review of mathematics skills through constructive use of the last few minutes of a class period. Introduced are examples suitable for both middle school and high school mathematics classes. (JJK)

Presents six construction problems in which key parts of the figure are made inaccessible, that is, a lake or an obstruction is inserted. Encourages creative thinking while improving problem-solving skills. Students are to show the construction, describe the solution, and verify correctness of the solution. (LDR)

Presents an activity suitable for rainy days in which students solve a story problem to determine how fast a person should run in the rain to get the least wet. (MDH)

Describes learning activities in which fifth and sixth graders used spreadsheets to explore the shapes of numbers. Discusses creating spatial patterns with a computer draw program; examining number patterns in a spreadsheet; comparing square and rectangular numbers; and creating the multiplication times table. (AEF)

This perfect bound teacher's guide presents techniques and activities to teach mathematics using origami paper folding. Part 1 includes a history of origami, mathematics and origami, and careers using mathematics. Parts 2 and 3 introduce paper-folding concepts and teaching techniques and include suggestions for low-budget paper resources. Part 4…

A study was conducted at San Jose City College (SJCC) to identify and track 163 new students enrolled in Math 310 over a period of several semesters. Data on the students' competency and persistence rates were collected for fall 1990 and spring 1991, along with subsequent math class enrollments and success rates. Study findings included the…

This activity book was designed especially for the classroom teacher who is constantly on the lookout for unique and interesting ways to challenge the students' learning capacity in the area of elementary mathematics. The material presented here places a strong emphasis on defining the particular skills to be covered in each activity. All the…

This document is the answer key for level 6 of the teacher-developed experimental mathematics curriculum for New York City schools. Approximately 250 performance objectives are listed, with reference to the appropriate worksheet(s) for each. The answers are typed in the appropriate space on each sheet. (YP)

Contained in this booklet is a variety of puzzles, games, and activities for students in grades 5-8 "who are looking for an extra challenge." The activities are categorized by number, money, clock, age, fraction, line, logic, and probability puzzles, with some games for two or more players. An answer key is provided. (MNS)

Since 1965, first through Title I of the Elementary and Secondary Education Act and now through Chapter 1 of the Education Consolidation and Improvement Act, funds have been allocated to supplement regular classroom instruction for children achieving below grade level. Together, Title I and Chapter 1 form a 20-year continuum of a concentrated,…

This is a series of research projects that can be used for enrichment of the high school mathematics curriculum. It is suggested that the topics are either not found in the standard curriculum or represent a more indepth study of standard topics. The areas considered are: applications of the microcomputer in mathematics; the fourth dimension and…

This paper is a discussion of algebraic factoring. It is suggested that factoring is frequently presented in textbooks and by teachers without specifying one of the great values of this technique; that is, finding some of the factors of any number that can be generated by a particular polynomial. Concrete examples can help students understand the…

In 1976, students in the fourth, fifth, and sixth grades in a multigraded classroom who had evidence low mathematics scores on the Iowa Test of Basic Skills were selected to work on the Hewlett-Packard mathematics program for 10 minutes each day on a classroom computer. The higher performing students (the upper 55% of the class) were selected as a…