Formulas for use in computer programs are presented. Two programming applications are discussed: one to ballistics using inverse sine and one to hours of daylight using inverse cosine. (MNS)

This study concerned conceptual difficulties of college students learning programming and ways the teacher can simplify the process. An analysis of general strategies used in solving problems involving loops is given, with four types of hierarchical strategy categorized. Students had difficulty transforming their algebraic descriptions into…

Presented are instructions for activities in which a calculator is used to investigate algebraic concepts. Also presented are short computer programs involving topics taught in prealgebra and an activity in which a trapezoid is transformed into a circle. (JN)

Presents examples which help students think visually about algebraic operations on vectors and the associated mappings of the plane. The pictures help students actively participate in defining new functions by enabling them to compose simpler known functions. Conversely, functions can be factored into the composition of simple functions. (JN)

Reports results obtained when 24 14-year-old students were presented with algebra tasks by a computer-based modeling system and, four months later, comparable paper and pencil tests together with detailed interviews. Comparison of the results revealed profound misunderstandings of algebraic notation and identified classes of strategies used by…

The Mathematics Attribution Scale-Algebra (MAS) was designed to assess attributions to ability, effort, task, and environment for success or failure in algebra. The study examined the reliability and validity of the MAS with high ability high school students. Results present a complicated picture of the psychometric properties of the MAS. (Author)

This paper describes the procedures and results of two studies designed to yield empirical comparisons of the error magnitude in three change measures: the simple gain score, the residualized difference score, and the base free measure (Tucker et al). Residualized scores possessed smaller standard errors of measurement. (Author/BS)

Methods of finding algebraic expressions to fit number patterns are explored. (DT)

Presented is an interview with Mohamed Seddik Benyahia, Algerian Minister of Higher Education and Scientific Research, in which Algerian objectives in educational and scientific development are outlined. (SL)

Mathematical patterns obtained by using rectangles and inductive reasoning are discussed. (DT)

This is a qualitative study of 22 9th graders performing generalizations on a task involving linear patterns. Our research questions were: What enables/hinders students' abilities to generalize a linear pattern? What strategies do successful students use to develop an explicit generalization? How do students make use of visual and numerical cues…

This book is a guide to the development of mathematical talent in students in grades K through 8. The first chapter is on developing mathematical promise and considers characteristics of students who are mathematically promising, the goals of mathematics instruction, how to find and/or create good problems, models for increasing the numbers and…

The increasing availability of computer algebra systems (CAS) for the high school classroom is expected to have a significant effect on how algebra is taught, when it is taught, and the expected learning types. This paper reports on a computer algebra approach to the teaching of algebra to 13-16 year old students in a high school in Melbourne,…

The presentations address a variety of difficulties occurring in students' solutions of equations and inequalities, and suggest different reasons for these difficulties. When analyzing students' performances, [BB] and [TTT] mention students' tendencies to make irrelevant connections between equations and inequalities as a problematic phenomenon.…

This study explores students algebraic and geometric approach in solving tasks in functions and the relation of these approaches with complex geometric problem solving. Data were obtained from 95 sophomore pre-service teachers, enrolled in a basic algebra course. Implicative statistical analysis was performed to evaluate the relation between…