It is argued that the trend toward emphasizing conceptual knowledge over skills in mathematics instruction may require a reconsideration of the deficit model that has dominated intervention practice. General and specific suggestions are made toward establishing a new classroom environment for conceptual mathematics learning for all students.…

Describes a unit on rain forests in which first graders studied about rain forests, built a classroom rain forest, and created a bulletin board. They also graphed rainfall, estimated body water, and estimated the number of newspapers that could be produced from one canopy tree. (MKR)

Annotates 16 World Wide Web (WWW) sites dealing with math and science education matters covered in feature articles for this journal issue. Topics include math fairs, classroom restructuring, and hands-on science. (JW)

Reviews four books on teaching premathematical concepts to young children: (1) "Windows on Mathematics: Worktime Activities for Young Children" (Westley and Randolph); (2) "Hands-On Math: Manipulative Math for Young Children" (Stone); (3) "Books You Can Count On: Linking Mathematics and Literature" (Griffiths and Clyne); and (4) "Mathematics…

Discusses children's design of mathematical representations on paper. Suggests that the design of displays during problem solving shapes one's mathematical activity and sense making in crucial ways, and that knowledge of mathematical representations is not simply recalled and applied to problem solving, but also emerges out of one's interactions…

Included are activities and guidelines which suggest ways to use large numbers in relative terms so that they can become more meaningful for elementary mathematics students. Several spreadsheet projects illustrate the incorporation of the recommendations from the NCTM Standards dealing with number sense. (JJK)

Applies exponential growth and the speed of doubling times to the energy crises. Increases comprehension of this mathematical law and the significance of findings made through its use. Examines statements from authoritative sources on energy to illustrate the lack of understanding of arithmetic's relationship to the energy crisis. Suggests ways to…

Discusses two mathematical ideas that come from the Incan and Mayan cultures: (1) the quipus, an Incan recordkeeping tool that encoded data via a logical-numerical system on spatial arrays of colored, knotted cords; and (2) the link between recording time and counting in the Mayan culture. (MDH)

Describes a study to determine middle school children's representational strategies to form part-whole or part-part relationships for relational numbers such as proportions, ratios, or fractions. Quantitative and qualitative analysis revealed that children prefer a part-part representation to solve relational quantity problems. (15 references)…

A study documented 10 college students' understanding of the limit concept and the factors affecting changes in that understanding. Encouragement by the researchers for the students to change their common informal models of limit to more formal conceptions were met with extreme resistance. (Author/JJK)

Discusses the rationale and a method for the instructional use of graphing calculators as an intermediary step between the intuitive notion of the concept of a limit and its formal epsilon-delta definition. (JJK)

Schematic knowledge was assessed by asking 195 ninth and tenth graders to classify area-of-rectangle problems in terms of whether the text provided insufficient, sufficient, or irrelevant information for solution. The hierarchical ordering of templates for the area of a rectangle is demonstrated, and implications for mathematics instruction are…

Shares observations made by a third-grade teacher who experimented with a variety of strategies to improve her students' abilities to write about mathematics. Notes that this gave the teacher a greater understanding of how students approached solving math problems and helped students practice writing in a meaningful way. (SR)

Activities that illustrate a problem-solving approach to teaching grouping symbols, such as parentheses and brackets, are described. Suggested exercises, answers to those exercises, and variations of this activity are included. (KR)

Presented are 44 examples in which students are invited to guess what pattern of numbers is emerging and to decide whether the pattern will persist. Topics of examples include Pascal's triangle, integers, vertices, Fibonacci numbers, power series, partition functions, and Euler's theorem. The answers to all problems are included. (KR)