In the simple one-dimensional random walk setup, a path is described as follows. Toss a coin. If the result is head, score +1 and move one step forward; otherwise score -1 and move one step backward. One is interested to know the position after a given number of steps. In this paper, once again a coin-tossing experiment is carried out. But this…

Best-selling author Marcia L. Tate brings her trademark "dendrite-growing" teaching strategies to this practitioner-friendly collection of brain-compatible methods for engaging K-12 students in social studies. Included are 20 proven strategies and more than 200 grade-leveled activities for applying them. Teachers will find concrete ways to…

Many of us can remember back to a time in America when all that teachers expected us to do with our hands in the classroom was to fold them. But now that the power and effectiveness of hands-on instruction has been proven in a wide range of subject areas--particularly math--those days are over. Whether using traditional activities, such as…

Students explore the Pythagorean theorem and an extension using jelly beans to measure areas. Deductive thinking and algebraic notation help establish connections. (Contains 8 figures.)

While block play is essential for both boys' and girls' social, cognitive, language, and motor development, girls do not engage in block play as frequently as boys. This situation can be attributed to the socialization process--children learn societal expectations for behavior and materials for both boys and girls--lack of experience for girls…

The authors examined the impact of manipulative-based instruction on 2 independent cohorts of preservice elementary teachers. In Study 1, 50 participants engaged in problem solving with operations on whole numbers and fractions using concrete and representational manipulatives over 5 classes. Pre- to posttest performance on a mathematics survey…

The NCTM calls for the use of rich tasks that encourage students to apply their own reasoning to problem situations. When students work through algebraic generalization tasks, their reasoning often elicits a variety of strategies (Lannin 2003; Stacey 1989; Swafford and Langrall 2000). Challenges for teachers include facilitating student awareness…

This article tells the story of an elementary school principal, a former high school mathematics teacher, who uses the geoboard in her work with a group of fifth-grade students. As the investigation of polygons progresses from symmetry to area to perimeter, hands-on applications of advanced mathematics topics such as the Pythagorean theorem and…

When teaching and learning about alveolar ventilation with our class of 300 first-year medical students, we use four simple, inexpensive "models." The models, which encourage research-oriented learning and help our students to understand complex ideas, are distributed to the students before class. The students anticipate something new every day,…

Electronic Blocks are a new programming environment designed specifically for children aged between 3 and 8 years. These physical, stackable blocks include sensor blocks, action blocks, and logic blocks. By connecting these blocks, children can program a wide variety of structures that interact with one another and the environment. Electronic…

Results indicated that handling, in addition to seeing an object, facilitates memory only because it maintains visual attention. (MH)

Describes the use of manipulatives to introduce elementary students to concepts of geometry. (Contains 11 references.) (PKP)

We describe new materials available at the Arecibo Observatory for visitors with visual impairments. These materials include a guide in Braille that describes the telescope, explains some basic terms used in radio astronomy, and lists frequently asked questions. We have also designed a tactile model of the telescope. Our interest is in enabling…

The premise underlying this article is that identifying and using the "five practices model" can make discussions of cognitively challenging tasks more manageable for teachers. By giving teachers a roadmap that they can follow before and during whole-class discussions, these practices have the potential for helping teachers more effectively…

This study examined the effects on math performance of the use of the rekenrek, a manipulative developed by Adrian Treffers. The rekenrek looks like an abacus, but differs in that it is based on a five-structure and not a ten-structure system. It is comprised of two rows of 10 beads, each broken into two sets of 5 by color (i.e., in each row the…