This paper reports on a study that explored the use of cognitively challenging tasks with low-attaining mathematics students and in particular, their teachers' attempts at scaffolding. A major finding was that responding appropriately to scaffolding opportunities was challenging for the teachers. In this paper two main factors are discussed which…

Cognitive objectives (with examples of behavioral objectives) at the first three levels discussed in the previous issue (SE 505 766) are presented. (MM)

Presents research on cognitive skills demanded by elementary and secondary school mathematics textbooks, based on an original 10-level classification of thinking activities; reports a general decline both in the amount of material demanding student involvement and in the percentage of that material requiring higher-order thinking. (MCG)

This guide was developed to give Kansas mathematics teachers from grades K-12 minimal sequential experiences in implementing the skills, values, and concepts of the mathematics program, and to provide a basic outline for developing a local program. All teachers are encouraged to make a real effort to see that their activities fit into the overall…

The objectives and the scope and sequence for the elementary school mathematics program of the Denver Public Schools (Colorado) are presented. The guide begins with a statement of the philosophy and general objectives of the K-12 mathematics program and a discussion of the methods of achieving those objectives. Several important ideas and concepts…

Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for fourth-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to education…

Presented is the final report of a one-year project on the structure of high school mathematics knowledge sponsored by the National Institute of Education (NIE). The main body contains conclusions on a conceptual framework for representing high school mathematics. Results are presented through discussion of three domains from the secondary school…

This guide outlines an Option X course on problem solving techniques. The 16 learner objectives identified in the Mathematics Program Guide stress applications orientation to concepts about numbers and operations and common plane and solid figures. Techniques covered include working with diagrams, organizing information, using patterns,…

This report opens by asking how operations in general, and addition and subtraction in particular, are characterized for elementary school students, and examines the "standard" instruction of these topics through secondary schooling. Some common errors and/or "sloppiness" in the typical textbook presentations are noted, and…

Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for eleventh-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to educational…

Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for eighth-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to educational…

A problem solving course designed to expose the student to the wide range of alternative problem solving techniques and to enable the student to use these methods in practical applications was developed at the University of California at Los Angeles. The course also exposes the humanities student to objective tools such as numerical models, while…

To help classroom teachers in grades K-9 construct mathematics tests, fifteen general objectives, corresponding sub-objectives, sample test items, and answers are presented. In general, sub-objectives are arranged in increasing order of difficulty. The objectives were written to comprehensively cover three categories. The first, graphs, covers the…

To help classroom teachers construct mathematics tests, nineteen general objectives, corresponding sub-objectives, sample test items, and answers are presented. In general, sub-objectives are arranged in increasing order of difficulty. The objectives were written to comprehensively cover three categories: (1) set theory; (2) numeration (Roman,…

The skills, understandings, and special attributes that a competent college student should acquire are described. General skills in writing, reading, speaking, and calculating are primarily the responsibility of elementary and secondary education, and these skills must be mastered by every college student. In addition to a specification of these…