The described game provides children with practice in multiplying by three and in comparing the values of sets of coins. (SD)

The converse of a familiar construction problem is explored, and a partial solution presented. The general problem is "Given a segment with length whose square is x, construct a segment with length 1." (SD)

The authors recommend introducing complex numbers by first studying the integers modulo seven. (SD)

The author states two "Birdcage Axioms" (often called the Pigeonhole principles) and shows how students can prove a variety of theorems from them. (SD)

This article describes a series of activities and worksheets to provide students with experience in graphing number pairs. Students at different lev els can use the activities to relate basic arithmetical operations to graphs. (Worksheets are included.) (SD)

The author reviews the history of the Fibonacci sequence and its relation to Pascal's triangle. (SD)

To introduce a third-grade class to division, a teacher prepared cards showing rectangular arrays from which some dots were missing; students used the remaining information to remake the cards. Related cards were used later in other activities to develop the repeated subtraction algorithm for division. (SD)

Children at many levels enjoy using spinners to explore probabilities and practice predicting, tabulating and graphing outcomes, and observing results. Directions for making spinners, descriptions of several activities, and sample worksheets are provided. (SD)

This book of supplemental exercises is one of a series of books designed to provide educational materials for students in addition to the instructional texts in the Adult Learning Skills Program. Exercises in this basic level book are for the mathematics subject area. Course numbers and exercise topics are: 101 (shapes, sizes, numerals, sequencing…

The primary objective of this study was to provide an experimental model of children's representations of addition and subtraction concepts viewed as constructed schemes. How children with different counting schemes differ in their addition and subtraction concepts and how the types of problems children solve correlate with the addition and…

Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first two are concerned with the properties of polygons. The third involves statistical decision making using basketball statistics as examples. The fourth is related to the perimeter and…

The study investigated whether 15 children (ages 6-21) with IQs from 31 to 66 could spontaneously invent more efficient calculational procedures and abstract basic arithmetic relationships after individualized tutoring in computation. Experimental subjects were given training that focused on accurate computation but specific relationships and…

This study systematically examined developmental changes in the flexibility of preschool children's counting skills by assessing their use of counting to solve different kinds of quantitative problems at several preschool age levels. Three principal kinds of quantitative problems were considered: (1) quantifying a given set; (2) generating a set…

The results of an evaluation of the Florida Statewide Course Numbering System (SCNS) are discussed. Surveys were conducted with the institutional liaison officers to SCNS, as well as with faculty members and department chairs. The uniform course numbering system is designed to enhance articulation, particularly the efficient movement of students…