Addresses the use of subjective judgment in research that involves statistical/quantitative methods with regard to four aspects of quantitative research: (1) design; (2) preliminary analyses; (3) general analyses; and (4) specific analyses. (Contains 37 references.) (ASK)

Studies the amount of attention to various kinds of activities and how students are called upon to process information in typical mathematics lessons, and whether this focus indicates a balanced program with respect to procedural knowledge, conceptual knowledge, and mathematical activity. (Contains 15 references.) (ASK)

Discusses linguistic influence on children's numerical development. Describes and reviews recent papers that address the relationship between number naming systems and children's numerical concepts. (Contains 20 references.) (ASK)

Discusses the development of new mathematics teacher-education programs in Turkey. Presents examples of curricula for elementary and secondary mathematics teachers. (ASK)

Discusses the nature of mathematics, the goals of education, and the political dimension of mathematics. Considers ethnomathematics, the history of mathematics, and advances in ethnomathematics. Proposes a new conception of curriculum. (ASK)

From the perspective of communication of textualized knowledge, problems that concern mathematics education might be amenable to a sharper treatment in which the role of the usual discourse seems important. Contains 14 references. (ASK)

Describes the use of manipulatives for solving simple combinatorial problems which can lead to the discovery of recurrence relations for permutations and combinations. Numerical evidence and visual imagery generated by a computer spreadsheet through modeling these relations can enable students to experience the ease and power of combinatorial…

Pre- and posttests and interviews concerning misconceptions and alternate conceptions of rates of change were administered to (n=42) students in first-semester calculus using a conceptually-motivated curriculum. Suggests that an emphasis on visual representations through construction and interpretation in conjunction with teacher-student analysis…

Discusses the rationale and use of problem fields which are sets of related and/or connected open-ended problem-solving tasks within mathematics instruction. Polygons with matchsticks and the number triangle are two examples of problem fields presented along with variations in conditions that promote other matchstick puzzles. (11 references) (JJK)

Presents four areas of advanced mathematical research (fuzzy set theory, subjective probability, search theory, and Voronoi diagrams) that are proposed for introduction into teacher education programs from an elementary, survey perspective without the intention of accomplishing formal mathematical research, thereby challenging teachers' beliefs…

Presents eleven open-ended questions used to address students' beliefs about mathematics that were culled from a wide variety of mathematics education populations. Each question is followed by a summary of typical responses from those populations that can help teachers plan instruction and structure the classroom environment. (JJK)

Reviews the history of the concept of function, looks at its relationship with other sciences, and discusses its use in the study of real world situations. Discusses the process of constructing mathematical models of function and emphasizes the importance of the roles of the numerical, graphical, and algebraic representational forms. (MDH)

Presents the computer microworlds developed by the Children's Construction of Rational Numbers of Arithmetic (Fractions) Project. Provides an overview of three microworlds: Toys; Sticks; and Candybars. Discusses how children are expected to use the microworlds to construct an understanding of rational numbers. (MDH)

Considers four language arts--speaking, listening, reading, and writing--as activities that enhance the development of mathematical concepts. Suggests ways language arts can be used in learning difficult concepts as missing addends, algorithms, number facts, and problem solving. (39 references) (MDH)

Describes the Microworld Chance, a simulation-oriented computer environment that allows students to explore probability concepts in five subenvironments: coins, dice, spinners, thumbtacks, and marbles. Results of a teaching experiment to examine the effectiveness of the microworld in changing students' misconceptions about probability are…