An activity in which students use manipulative materials to help solve simple algebraic equations using the operations of adding inverses, removing opposites, and sharing equally is presented. Directions, examples, the rationale, and cautions are included. (KR)

The idea that the methodologies provided by research should serve as models in developing practices in the classroom and in finding adequate solutions to students' and society's problems is discussed. The thoughtfulness of science, the scientific method, and science teaching are included. (KR)

Six-year-olds from Switzerland (n=30) and Argentina (15 middle- and 15 lower-class) were tested for understanding of inequalities between multidigit numbers and place value. Students could explain size relationships better than place value. The three types of children performed differently. (Contains 30 references.) (JAF)

Presents 24 activities related to the theme of area to illustrate how algebra can empower students, not impede their progress. Activities use grid tools, manipulatives, computational tools, and paper-and-pencil tools to facilitate access, discourse, independence, and multiple representations. Well-chosen themes offer connections, motivation,…

This study developed performance assessments from hands-on instructional activities and examined their reliability and validity for obtaining individual achievement data. Ethnic group comparisons indicated that Anglos scored higher, on average, than Latinos on all achievement measures. The magnitude of differences varied by curricular experiences…

Describes a science project in which students make models of polymers using polyvinyl alcohol solution. Students make T-shirts using polymer paint to remind them of their activities. (MDH)

Describes a course for talented high school students that focuses on DNA science and technology. Employs Cold Spring Harbor's DNA Science laboratory manual. Engages students in performing sickle-cell anemia and thalassemia tests in rabbits. (DDR)

A discussion of how to use math manipulatives to teach elementary students focuses on essential program elements: what math manipulatives are and why they are used, common questions about math manipulatives, how one teacher introduced the geoboard into the classroom, and pattern block activities. (SM)

Describes proven assessment strategies, which, used separately or in combination, can help young ESL students express their understanding of math concepts while building their English-language skills: Manipulative objects, diagrams, and physical movement. Also describes other assessment techniques including self-assessment, interviewing, and…

This article describes geometry-oriented problem-solving tasks that can encourage students to develop a positive attitude toward mathematics. The tasks concern working with polyominoes, two-dimensional shapes that consist of squares joined fully at the edges. (Contains 7 figures.)

In this paper we discuss manipulatives and hands-on investigations for Calculus involving volume, arc length, and surface area to motivate and develop formulae which can then be verified using techniques of integration. Pre-service teachers in calculus courses using these activities experience a classroom in which active learning is encouraged and…

Students need to enter the interconnected global community with an understanding of how different cultures perceive the world, how the cultures and societies of today evolved from those of the past, and how all peoples impact the development of future societies. Unfortunately, time constraints or lack of resources in schools cause many social…

Manipulatives are the way to our future and the way to new knowledge. No matter where we turn or what we do, we as a society are using some form of manipulative in our lives. Mathematics is changing all of the time from basic arithmetic to basic calculus. Therefore, children in today's classroom deserve to have that extra tool to help them grasp…

This study examined teachers' uses of virtual manipulatives across grades K-8 after participating in a professional development institute in which manipulatives and technology were the major resources used throughout all of the activities. Researchers analyzed 95 lesson summaries in which classroom teachers described their uses of virtual…

We focus on the concept of matter and explore how young children in urban schools bridge their spontaneous concepts and everyday experiences with scientific concepts introduced to them by children's literature information books and their teacher. The study shows how material artifacts used in a sorting activity became ideational tools--semiotic…