The North Carolina End-of-Course Testing Program was established to provide student, school, and school system information about achievement in high school courses. This report describes: (1) "Characteristics of Algebra II Students"; (2) "Student Performance on the Core Test"; (3) "Combining Performance and Participation:…

This Note describes several versions of an intelligent tutor for basic algebra that have been developed at the RAND Corporation. The versions of the tutor were built around several core components, including an algebra expert system and a student modeling component that can make inferences about misconceptions underlying students' errors. The…

This study compares and contrasts the following variables on the types of attributions (ability, effort, environment, and task) students make for their performance in algebra: attributions by gender and gender identification; attributions by level of math anxiety and self esteem; attributions by experience in competitive activities; and…

Research on intelligent tutoring seeks to develop systems for automating education and to explore epistemological issues concerning the nature of the knowledge presented by tutors and how that knowledge can be learned. The ACT theory of skill acquisition and its successor (PUPS--PenUltimate Production System) provides production-system models of…

This paper is a discussion of algebraic factoring. It is suggested that factoring is frequently presented in textbooks and by teachers without specifying one of the great values of this technique; that is, finding some of the factors of any number that can be generated by a particular polynomial. Concrete examples can help students understand the…

Tracing the history of algebra within the U.S. secondary curriculum requires at the same time a review of the various reform movements relevant to secondary education, an acknowledgement of the sociological, political, and psychological perspectives driving these reforms, and most importantly, the perceived role of mathematics in the education of…

This document was initiated with the collection of 150 questions in telephone interviews of a national sampling of junior high school and high school teachers. A Mathematics Consultant Panel reviewed the questions, and selected topics were developed, for which there were research bases for answers. The material covers: (1) Effective Mathematics…

Three sequences of coursework are detailed in the curriculum development guidelines provided in this document. The 4-year sequence, structured around problem-solving, applications, and the acquisition of theory, is designed for the college-bound student who plans to enter a mathematics-based field of study. The 3-year sequence is designed for…

This textbook is first in a series of three volumes presenting a mathematics course for junior high school and six-year high schools. This volume covers arithmetic related to home, store, farm, industry, and bank; intuitional and constructive geometry; and introduces algebra. [For Book II, see ED623225. For Book III, see ED623226.]

This text provides information and exercises on arithmetic topics which should be mastered before a student enrolls in an Elementary Algebra course. Section I describes the fundamental properties and relationships of whole numbers, focusing on basic operations, divisibility tests, exponents, order of operations, prime numbers, greatest common…

In Experiments 1 and 2 subjects read a series of standard algebra story problems, and were asked to recall each problem. In Experiment 3, subjects were asked to construct problems based on certain situations (such as "train leaving stations"). Results indicated that "relational propositions" (such as "the rate in still…

To determine the effects of videotape supplements to the programmed instruction used in developmental mathematics at Danville Community College (Virginia), videotapes and supplements (study time record, instructions, flow chart, prefatory information, index of tapes, objectives, exercises, and summary) were produced for four units of Algebra I.…

This publication is the teachers' manual, level 9, of the Instructional Support Systems (ISS) Program, which was developed by the Community School District 18 of New York. The curriculum was designed to fulfill the requirements established by the New York State Board of Regents for the Algebra I course. Two sequences of modules are suggested, for…

This research addressed itself to the development of a novel teaching-learning scheme for non-trivial, first-degree equations in one unknown, based on an analysis of the notions and misconceptions of junior high students. The approach was tried in a "teaching experiment" involving six case studies of students of various abilities in…

THIS IS A SOURCE MANUAL TO ASSIST TEACHERS OF PROGRAMED ALGEBRA IN PROVIDING FOR INDIVIDUAL DIFFERENCES AMONG STUDENTS. THE MATERIAL WAS INTENDED FOR ASSIGNMENT TO SELECTED STUDENTS WHO REQUIRE ADDITIONAL MATERIALS TO SATISFY VARIOUS ABILITIES AND TALENTS. IN ADDITION TO REFERENCE LISTS ON FILMS AND FILMSTRIPS, PRINTED BIBLIOGRAPHIES WERE PREPARED…