This catalog presents brief descriptions of all lessons developed by the PLATO project for community colleges and adult education. One hundred six lessons are available for computer-based use. Topics range from elementary arithmetic to function theory and trigonometry. For each of these lessons, this catalog presents the title, code name, author,…

Using the methods described, pattern representation of operations in modular systems can be developed. (SD)

Pascal's triangle can be used as early as grades five and six to teach children to recognize mathematical patterns. Children can be guided to discover patterns or sequences of numbers if they begin with pictures or physical objects which they can manipulate and count. (Author/BB)

Three worksheets dealing with number triangles are given. Exercises are designed to lead students to discover number patterns within the triangles. (MP)

The psychology of learning is used to analyze learning difficulties of educationally sub-normal (severe) children. Implications for more effective teaching strategies in dealing with number concepts as well as general considerations are given. (MN)

Activities are described that reinforce knowledge of multiplication facts and also give students practice in making generalizations that improve problem-solving skills and provide a foundation for work with fractions. (MNS)

Reports on a study into first grade student's interpretations of the equals sign in different contexts. Argues that varying situations affect students' understanding of such arithmetic concepts, including the social interaction patterns in the classroom during arithmetic instruction. (TW)

Describes study that explored how adults who watch "Sesame Street" with children can facilitate the children's recognition of letters and numbers presented on the show. Treatment and control groups providing various types of feedback with preschool children are explained, posttests are analyzed, and possible implications for racial…

Students are given a computational rule to follow for the first set of problems and must then discover the rule for the second set. Four worksheets for grades 1-8 are included. (MNS)

Described are the rules and mathematical development of five games for teaching and practicing addition concepts. (PK)

Presented are six problems from diverse areas of mathematics that are appropriate for students of differing age and ability levels. (PK)

Presented are two sets of materials appropriate for exploring different aspects of shape. Ideas about sequences are considered. (PK)

The study examined basic counting competencies, difficulties, skill progressions, and variation among 36 moderately retarded and 64 mildly retarded students (ages 5-14). Quantitative and qualitative analyses indicated deficiencies in basic counting competencies and systematic oral- and object-counting errors. Striking individual differences in…

Practical and classroom-tested ideas are suggested for teaching the midpoint theorem and exponents and factorials. (PK)

This study investigated the ways students represented fractions on number lines and the effects of instruction on those representations. The instruction primarily concerned representing fractions and ordering fractions on number lines. (Author/PK)