Discusses: (1) different types of learning (concepts, properties, facts, procedures, algorithms, skills, and problem solving); (2) types of learning behaviors; and (3) types of representational models, considering concreteness, meaningfulness, and manipulation (active manipulation, passive manipulation, and nonmanipulation). (JN)

Describes an exploratory study in which alternative dramatic play areas are compared among older preschoolers. Twelve children, grouped into same-sex pairs (55 to 67 months old), were observed in various playroom environments. Results indicate that theme specific settings stimulated dramatic play while neutral areas encouraged personal fantasy…

Descriptions are given of how groups aged 7, 10, and 13 tackled the problem of how many squares are on a chessboard. Teachers noted that often the less able children were the ones with ideas, whereas the able ones became impatient and were unwilling to go on trying. (MNS)

Methods of constructing polyhedra models are described. (DT)

A method for using a geoboard to calculate the area of a polygon is described and explained. (DT)

Saxon's primary mathematics series is a "hands-on," success-oriented program which emphasizes manipulatives and mental math. The series addresses the multisensory approach to teaching. Its use enables all children to develop a solid foundation in the language and basic concepts of mathematics. Concepts are presented in carefully…

Innovations in technology, along with the growing prevalence of the Internet and its increasing availability in classrooms and homes throughout the world, have created a new class of manipulatives, virtual manipulatives. These "virtual manipulatives" offer a new, enhanced approach for teaching and learning mathematics using manipulatives and…

Student scores on the Woodcock-Johnson Achievement Test showed four years of declining scores. Data collected from a teacher pre-questionnaire indicated problems in the areas: elementary mathematics curriculum, the curriculum adoption process, training of teachers in using purchased texts and manipulatives, confidence of teachers in utilizing…

A survey of what items of equipment are considered useful in teaching mathematics by secondary school teachers is presented. (JP)

A presentation of learning experiences involving materials is recommended which reflects the sequence of the developmental stages. This sequence is concrete, concrete-abstract, pictorial-abstract, and abstract. Instructional examples at each level are presented. (JP)

Compared were the effects of two-dimensional and three-dimensional instructional materials on the learning of 88 educable mentally retarded students with chronological ages between 11 and 16 years. (Author/DB)

Materials for sorting, counting, and number activities are listed, with sources. This is the third of a series in a revision of a materials list given in issue No. 40; earlier lists in the revision appeared in issues No. 58 and 59. (DT)

Specific mathematics lab activities involving fractions and measurement at the seventh grade level are described. (DT)

Measuring activities using the metric system are suggested for the elementary level. (DT)