Presents a sequence of hands-on activities to help students understand the concept of arithmetic mean and gain experience in using mathematical models. Students create models in the process of solving problems and communicate to the class the meaning attached to the models. (MDH)

Presents observations about the influence of mathematics textbooks and suggests ways to use textbooks to advantage while reordering the sequence and emphasis of topics to allow time for alternative activities. The fifth-grade mathematics curriculum is examined as an example. (MKR)

Presents an instructional approach that utilizes paper-folding activities to help students understand the concept of fractions. Utilizes an area model of multiplication to extend the concept of multiplication of whole numbers to multiplication of fractions. (MDH)

Investigated is whether children would spontaneously model problems with superfluous information and whether their modeling would facilitate problem solving. Included are the addition/subtraction story problems used in this study, introduction, method, results, discussion, and conclusions. (KR)

Describes the ways in which primary grade science teachers can use hands-on scientific activities to answer children's questions about science. In such activities, children discover and experiment with materials and objects to understand scientific ideas and processes. Suggests that teachers should encourage children's curiosity. (BB)

Describes a summer mathematics inservice workshop for 39 elementary teachers from rural, small schools throughout New Mexico. Focused on minority participation, hands-on activities, and improvement of attitude towards the teaching of mathematics. Posttests revealed improvement in knowledge of manipulative use, confidence in use of manipulatives,…

Presents a series of hands-on activities for grades K-2, 3-4, 5-6, and 6-8 using the common theme of kites to develop number sense in basic operations and fractions. Teachers' guides and worksheets are provided. (MDH)

Explores three questions related to the kindergarten mathematics curriculum: (1) How much do young students' limited abilities to process information hamper performance on worksheet tasks? (2) How is mathematics currently taught in kindergarten? and (3) What materials and activities are appropriate for mathematics learning in kindergarten? (MDH)

Presents four curricular alternatives and teaching strategies to improve the general-mathematics curriculum. Teaching strategies include reading mathematics, classroom discussion, an interdisciplinary approach, field trips, use of manipulatives, varied assessment methods, cooperative learning, use of technology, and team teaching. (MDH)

Presents an alternative method to teaching percent problems which uses a 10x10 grid to help students visualize percents. Offers a means of representing information and suggests different approaches for finding solutions. Includes reproducible student worksheet. (MKR)

Described are three activities and variations that can help students to understand the concept of place value. Allowing students to use concrete materials and helping them to bridge the gap between manipulatives and paper-and-pencil tasks are emphasized. (KR)

Presents an activity in which students develop their own theorem involving the relationship between the triangles determined by the squares constructed on the sides of any triangle. Provides a set of four reproducible worksheets, directions on their use, worksheet answers, and suggestions for follow-up activities. (MDH)

Presents a teacher-made instructional material that can be used to help students understand and retain the concepts of magnet and magnetic field. Doughnut-shaped magnets levitate above each other when placed over a post with like poles facing each other. Instructions are provided to make the device. (MDH)

General guidelines for the use of manipulative materials are presented. Teacher management of the lessons involving manipulative materials is stressed. (CW)

Effects of 3 different types of instruction (use of manipulatives, use of diagrams, and use of symbols only) of rational number content and teaching techniques were compared for 75 preservice teachers in a course in elementary mathematics. Only the manipulatives group showed significant improvement pretest to posttest. Implications are discussed.…