Details evaluation of effectiveness of the Montessori Movable Alphabet in successive exercises to build preschoolers' knowledge about written English. Describes preliminary activities, movable alphabet introduction, dictation, expanded usage, object/picture use, vowel addition, vowel combination, blends, phonetic phrases, H-digraphs, long vowels,…

The use of commercial games to design and construct games to drill specific mathematics skills is discussed. Game types discussed include card games and board games. Two game boards adapted from "Chutes and Ladders" and "Battleship" are provided. (CW)

Presents a cooperative-learning lesson in which high school students visit stations equipped with different tools to establish the midpoint of a Pixy Stix, a brand of candy-filled straw. Provides solutions for two potential stations, suggestions to extend the activity, and two activity worksheets. (MDH)

Presents an activity to introduce students to the intrinsic curvature of surfaces using a wide variety of objects. Describes student discoveries, several variations on the project, and possible classroom discussion topics. A reproducible student worksheet and 17 references are included. (MKR)

Summarizes research conducted within a series of professional development workshops for teachers in grades K-8 which emphasize basic reasoning skills, integrating manipulative materials, and technology. Demonstrates these principles using patterns, relations, and functions as examples. (Author/MKR)

Presents a series of 5 reproducible worksheets for grade levels 5-10 that provide hands-on activities to help develop the concept of slope. (MDH)

Presents an activity that uses M & M's candy to initiate discussion about the mathematical concepts of empty set, zero, more than, less than, most least, and equivalent sets. Suggests extensions that could follow this activity. (MDH)

Presents a hands-on mathematics task that can be investigated experimentally to produce a sequence of numbers. Describes ways to extrapolate values of the table of numbers by formulating and verifying a conjecture related to the pattern in the numbers. (MDH)

Presents a worksheet on graph paper that allows students to determine the perpendicular bisectors of given segments by folding the paper. Students then determine the slopes of the perpendicular bisectors and use inductive thinking to discover the relationship between the slopes of perpendicular lines. (MDH)

Citing examples from the author's third grade mathematics classroom, describes problems stemming from the use of concrete objects (e.g., fraction bars, base-10 blocks, and popsicle sticks). The vignettes show the fallacy of assuming that students will automatically draw the conclusions that their teachers want simply by interacting with particular…

Presents a student project that requires students to create a puzzle involving some form of manipulative and present it to the class with an advertisement. Uses writing to have students report on their progress. (MDH)

Discusses North Carolina's alternative assessment program for first and second grades, the process of implementation, knowledge gained from the program, and implications for implementing Standard 6 (focusing on analyzing and interconnecting teaching and learning) of the National Council of Teachers of Mathematics Professional Teaching Standards.…

Presented are student activities that involve two standard problems from geometry and calculus--the volume of a box and the bank shot on a pool table. Problem solving is emphasized as a method of inquiry and application with descriptions of the results using graphical, numerical, and physical models. (JJK)

Four activities which illustrate the use of manipulative materials and computers in problem solving at the elementary level are presented. Each activity discusses large group activity and a computer activity. (CW)

Compared pre-service elementary teachers' beliefs about mathematics and science teaching before and after immersion in an integrated, spiral-based, inquiry approach within a mathematics and science methods course. Results highlighted: the importance of the teacher's role; use of methods, strategies, and styles; use of manipulatives and materials;…