Investigates the development of concepts and processes associated with computational estimation. Twelve students at each of grades three, five, seven, and nine were interviewed. The older children understood better than the younger children what was asked but were uncomfortable with estimation processes and outcomes. (Author/YP)

Describes the contents of a book entitled The Care and Feeding of Ideas: A Guide to Encouraging Creativity which considers the thinking process, why skills need to be developed, and how students use or should use these thinking skills. (RT)

Presents four sets of activities to develop the concepts of data analysis and graphing. Students estimate sample populations using beans, examine graphs from newspapers and magazines, predict the most popular color of cars, and simulate quality control in a manufacturing process. (MDH)

Investigates issues of conceptual understanding in teaching and learning mathematics provided conceptually based instruction on place value and two-digit addition and subtraction without regrouping in four first grade classrooms. Conventional textbook-based instruction was provided in two first grade classrooms. Experimental-group students scored…

Concrete experience should be a first step in the development of new abstract concepts and their symbolization. Presents concrete activities based on Hyde and Nelson's work with egg cartons and Steiner's work with money to develop students' understanding of partitive division when using fractions. (MDH)

Instructional strategies are presented that illustrate ways of developing students' understanding of nonnumerical notation that are compatible with a constructivist stance. The concepts of using letters to represent a range of values and those used to represent unknowns are discussed. (KR)

Proposes a novel method of introducing and promoting the topic of geometric sequences through the problem of calculating the number of games necessary to determine the winner of a single elimination tournament in which two, three, or more teams compete at a time. (MDH)

Examined is the predictive value of the cognitive variables of developmental level, mental capacity, cognitive style, short-term storage space, and numerical inductive reasoning for student achievement in college science. Included is a strategy for the development of materials which would allow students to develop problem-solving skills. (KR)

Responses of students in grades K-10 (42 interviewed; 98 written) to 4 common fractions problems were analyzed for iconic mode processes in relationship to concrete symbolic mode development. Concludes that progress in the latter, without development of complementary iconic support, limits both understanding and flexibility in solving problems.…

Identifies the problems associated with the use of dry laboratories in science education, presents design considerations for the use of such practicals in science education, and presents examples of innovative nontraditional practicals. Contains 23 references. (DDR)

Scientists and students often believe that if they just think harder about a problem, a solution will follow. However, thinking about one's thinking, or using metacognition, can be a more productive expenditure of mental energy. Introducing students to metacognition allows them to discover the value of reflection. This article presents a lesson on…

There is an emphasis on meaningmaking, problem solving, and discovery in contemporary educational settings--facts and concepts integrated into the curriculum by unifying themes that connect to real-world experiences. Using graphics to represent the thinking of students in learning and the thinking of teachers in integrated planning can be…

Due to its abstract, theoretical nature, the mole concept has been recognized as one of the most difficult topics to teach and learn within the chemistry curriculum. The purpose of this study was to chronicle the development of high school students' conceptions of the mole following a period of instruction in a chemistry class. This investigation…

Constructivism suggests a way to restructure the learning environment to make the transfer of learning from school to work settings more effective. The theory rests on the notion that learners actively construct knowledge by integrating new information and experiences into what they have previously come to understand. Using a constructivist…

Researchers from BBN Laboratories and Lesley College (Massachusetts) have begun exploratory studies to build an understanding of the learning that occurs when middle school students interact with science-based simulations. Sixty hours of discussion among eight middle school students were videotaped as they used the simulations from the…