Authors use combinatorical analysis to prove some interesting facts about the Fibonacci sequence.

There are various websites, which provide information about how to use various graphing calculators in teaching and with the help of the contribution made, by these websites new technology can be used in the mathematics classes. With the help of this information various commands like the graphing, program and user defined functions can be…

Examines existing research literature which suggests that introducing computing tools can help students focus on the relevant aspects of a problem, function at higher levels of geometric understanding, distinguish between drawings and constructions, and develop and reason about conjectures on the basis of generalization of patterns. (KHR)

This analysis synthesizes the research on characteristics of the mathematically gifted and describes some ways in which programs can be designed to address those characteristics. (MNS)

It is noted that too many students who go to college today are poorly prepared for college mathematics. It is believed that any student who goes to college without a minimum of two years of algebra and one of geometry will be at a serious, possibly insurmountable, disadvantage. (MP)

Presenting students with nonroutine problems is likely to produce affective responses by students unaccustomed to such problems. Discusses the theoretical background for evaluating students' emotional responses to problems, the relationship between problem solving and affect, emotions and beliefs, and techniques for dealing with affect in the…

Presents research findings and teaching implications of mathematics as reasoning and students' reasoning abilities in mathematics. (20 references) (MKR)

Discusses research on the tensions in becoming a better mathematics teacher, including perspectives on the nature of mathematics, conceptual and procedural knowledge, and managing competing responsibilities. Implications for teachers and teacher preparation include revision of undergraduate mathematics courses, collaboration among mathematics…

Examines research relevant to the debate about the relative emphasis that formal proof should play in high school geometry. Discussion includes establishing truth in geometry, research in students' learning of proof, developing the notion of proof, alternatives to axiomatic approaches, computer construction programs, and classroom recommendations.…

Discusses the mathematical pedagogy changes that reflect the constructivist approach exemplified in the National Council of Teachers of Mathematic's "Professional Standards for Teaching Mathematics." As part of the change process, recommends that teachers (1) reflect on their present practices, (2) risk making changes in classroom activities and…

Discusses the teachers' roles and responsibilities in classroom mathematics assessment in the context of the "Standards for Teacher Competence in Educational Assessment of Students." Considers the issues of choosing and developing appropriate assessment methods, obtaining and using assessment results, and communicating assessment information. (MDH)

Presents research findings related to students' intuitive ideas about the concepts of chance to inform teachers how students form their concepts of probability and statistics. Discusses adolescents' conceptions of uncertainty, judgmental heuristics in making estimates of event likelihood, the conjunction fallacy, the outcome approach, attempts to…

Presents an overview and discussion of some results of research on the use of graphing calculators organized into the following categories: (1) achievement studies, (2) conceptual understanding, (3) problem solving, (4) classroom dynamics, and (5) future research needed. (29 references) (MKR)

Discusses research involving instruction to help students develop their mental managerial processes or metacognition, the role of a framework for problem-solving activities, the teacher as model or moderator, problem solving involving groups or pairs, and weaving writing into problem solving. (Contains 18 references.) (MKR)

Reviews research findings on students' understandings about school mathematics and assessment and explores students' work on, and perceptions of, different types of assessment tasks. (MKR)