Ten activities that give learners in grades 5-8 a chance to explore mathematics with calculators are provided. The activity cards involve such topics as odd addends, magic squares, strange projects, and conjecturing rules. (MNS)

After presenting the case for using games to teach higher-level skills, four mathematics instructional games are given. At the comprehension level are Average Hands and Polyhedron Rummy. Prime Plus is at the application level, while In Proportion is at the analysis level. (MNS)

Presented are four activities (each accompanied by ready-to-duplicate worksheets) dealing with: colors and shapes (grades K-2); using a coordinate grid in map reading (grades 3-4); order pairs of whole numbers (grades 5-6); and locating ordered pairs of rational numbers in the coordinate plane (grades 7-8). (JN)

Specific examples of activities that have been effective in classrooms are described. (LS)

A set of three worksheets is provided, along with a guide for the teacher. Using manipulative materials, students investigate the difference between the consecutive sums of the numbers along the three sides of a triangle. (MNS)

A sequence of seven graphing activities is suggested for developing both prenumeration and numeration concepts and skills. (MP)

The author describes a dialogue with his three-year-old daughter about numbers. He discusses aspects of mathematics education and how his views about how students acquire mathematical knowledge have changed. (MP)

An investigation of patterns in magic triangles leads to a number of discoveries concerning the sums of sides and corners. (MP)

Activities are described in which number patterns in two-digit multiplication exercises are investigated. (DT)

Presents a brief definition and examples of residue designs while sharing some of the algebraic thought that a student used to form generalizations about the patterns discovered during the investigations of residue designs. (ASK)

The development of the place value system and its universal use demonstrate the elegance and efficiency of mathematics. This paper examines the concept of place value by: (1) presenting the historical development of the concept of place value in the Hindu-Arabic system; (2) considering the evolution of the number zero and its role in place value;…

Activities and teaching methods for developing an understanding of fractions are presented. The activities, which use mathematical models (visual representations of fractions), are divided into three sections: (1) equivalent fraction circles; (2) fraction bars; and (3) multiplication of fractional numbers using squares. Each section includes the…

This is the teacher's manual to accompany part 1 of the workbook for grade 1 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…

This is the teacher's manual to accompany part 1 of the workbook for grade 2 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…

This is the teacher's manual to accompany part 2 of the workbook for grade 2 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…