This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide…

The Indian Institute of Science is proud to host the fully in-person sixteenth iteration of the International Conference on Educational Data Mining (EDM) during July 11-14, 2023. EDM is the annual flagship conference of the International Educational Data Mining Society. The theme of this year's conference is "Educational data mining for…

This article analyses aspects of the process of developing "functional" assessments of mathematics at the end of compulsory schooling in England. A protocol that was developed for scrutinising assessment items is presented. This protocol includes an indicator of the "authenticity" of each assessment item. The data are drawn…

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)

This is the final test for students in the twelfth-grade course Mathematics 30, offered in schools in Alberta, Canada. It contains 52 multiple-choice questions and five written-response problems, with two-and-one-half hours allowed for completion. Approved calculators may be used. Scoring is done by the provincial education department. (RH)

Problem solving by example is an intermediate step toward mastering problem-solving heuristics. Discussed are problem-solving processes by using two problem examples. Emphasized are heuristics cataloging in a problem-solving log, and approaches to solutions, not the solutions themselves. (YP)

Discusses cognitive processes associated with mental rotation and procedures for presenting and learning orthographic projection. Descriptions include a series of three experiments generated by cognitive load theory that investigated the effects of worked example formats on high school students using two- and three-dimensional representations. (19…

This is the final test for students in the twelfth-grade course Mathematics 30, offered in schools in Alberta, Canada. Intended for administration in January 1987, it is available in both English and French. It contains 52 multiple-choice questions and 3 written-response problems, with 2.5 hours allowed for completion. Approved calculators may be…

The degree to which test item bias techniques can lead to interpretable results when groups are defined in terms of specified differences in the cognitive processes involved in problem-solving strategies was studied. Data from two groups of junior high school students (N=545) were used. (TJH)

From 1984 through 1988, the authors worked with teachers using an inquiry approach to teach high school geometry courses with the aid of the "Geometric Supposers." Problems are a critical component of the approach because they focus attention and energy and guide students in the application, integration, and extension of knowledge.…

Investigates patterns of sex differences for responses to problems across the countries involved in the Second International Mathematics Study. Reports no substantial gender effects on any of the content areas using the median polishing method. (YP)

The purpose of this report is twofold. The first is to deliver an accurate portrayal of students' achievement in geometry and measurement as gleaned from the results of the 1986 Massachusetts Educational Assessment Program (MEAP). The second is to provide K-12 teachers of mathematics with activities that have proven to be helpful in encouraging…

Suggests that secondary school students seem to have reasonably good procedural knowledge in areas of mathematics as rational numbers, probability, measurement, and data organization and interpretation. It appears, however, that students are lacking the conceptual knowledge enabling them to successfully do the assessment items on applications,…

A change of emphasis in mathematics education may be needed from a mechanical and computational focus to a problem-solving approach. A first step in facilitating this goal is to place children in situations emphasizing problem-solving skills, requiring them to develop and apply their own logic structures. This paper describes a microcomputer based…

Describes a pilot study of computerized adaptive testing in the Michigan Educational Assessment Program's tenth-grade mathematics problem-solving and applications subtests. Comparisons are made to pencil-and-paper tests, and student reactions as determined by a posttest survey are discussed. (LRW)