Presents four methods for solving a quadratic equation using graphing calculator technology: (1) graphing with the CALC feature; (2) quadratic formula program; (3) table; and (4) solver. Includes a worksheet for a lab activity on factoring quadratic equations. (KHR)

Discusses a teaching method for transforming timid, dependent students into self-propelling, independent problem solvers. Describes four guidelines: expose students to problems; pose good questions and pause; put chalk into students' hands; and emphasize teamwork. Eleven references are listed. (YP)

Investigation of (n=41) eighth-grade mathematics classrooms in which three teaching approaches (algorithmic practice, teaching with meaning, and problem-process approach) found that the problem-process groups showed increased achievement and improved student attitudes. (38 references) (Author/MKR)

Examines the hypothesis that problem comprehension and computational processes interact during the solving of arithmetic word problems. Results suggest the absence of any interaction between the two processes. Questions the notion that automatized retrieval facilitates problem solving, as well as assertions suggesting that increasing computational…

The calendar provides elementary mathematics students with open-ended questions intended to engage them mathematically in high-interest activities. No answers are provided so that students are encouraged to look alone, or in small groups, for significant mathematical evidence to develop confidence and the necessary critical thinking skills. (JJK)

Investigated was the presence and role of cue words in word problems found in three mathematics textbooks series. The methodology and results of the study are presented. Lists of cue words for grades 3-6 are provided. (CW)

Presents three open-ended problems as a basis for discussing concerns and possible hazards in their solution, including partial answers or unjustified guesses, and considers the appropriate use of these types of problems. Appendices include problem solutions. (MKR)

Annotated are questionnaire responses from 88 state and regional contest supervisors concerning trends in calculator usage and nonusage among 59 represented mathematical contests. Discussed are advantages and disadvantages for specific contest problem types with respect to both pencil-and-paper and calculator methods of solution. (JJK)

Uses a variation of Hansen's surveyor problem to illustrate how exploring students' assumptions can lead to interesting mathematical insights. Describes methods that utilize self-stick notes and overhead transparencies to adapt computer software to specific classroom needs. (MDH)

Presents a mathematics problem on how a sailor decides the shortest distance between two points by using a calculator. (ASK)

Describes teaching methods in a computer-based learning environment called WORDMATH, designed to teach word-problem solving to 9-to 12-year-old students in Singapore primary schools. Discusses the results of a formative study of the tutor. (Author/ASK)

Describes a study of high school students that investigated the kind of knowledge bases mathematics students can develop and the difficulties that may appear. Discusses knowledge-base development within LISD (Learning through Intelligent Software Development), an approach to teaching and learning mathematical problem solving, specifically word…

Provides examples of student work on a problem which shows that students solve problems in several different ways. Discusses challenges to the teacher that might result from problems such as these. (ASK)

Multiage grouping, based on the belief that children benefit from engaging in learning environments that accommodate at least two age groups, allows for marked improvements in children's enthusiasm for learning mathematics. Children are challenged and stimulated by their interactions with multiage peers, and assessment information indicates they…