Comparison of two eleventh-grade mathematics programs was made by evaluations of student and teacher attitudes and of student achievement on specific content as well as performance on the ETS Algebra II exam. An experimental program based on Zalman Usiskin's textbook, "Intermediate Algebra," was matched with programs based on traditional texts.…

Topics covered in the first chapter of Unit 13 in this SMSG series include mathematical models, methods of solving systems of equations, and graphical solution of systems of inequalities. The second chapter of this unit deals with properties of exponents, exponential and logarithmic functions, computing with logarithms, and the slide rule. For…

This is the second of four guidebooks on minimum content designed to strengthen fundamental concepts which are basic preparation for Algebra I. This booklet covers integers, rational and irrational numbers, real number properties and operations, graphing in one dimension, and open sentences. The overall course goals are stated, then, for each…

The current curriculum modules under development at Project Solo are listed. The modules are grouped under the subject matter that they are designed to teach--algebra II, biology, calculus, chemistry, computer science, 12th grade math, physics, social science. Special programs written for use on the Hewlett-Packard Plotter are listed that may be…

This booklet contains some 80 problems in mathematics suitable for computer solution. The problems range from very simple to complex. Problems have been included from most mathematic disciplines, including number theory, analytical geometry, probability and statistics, trigonometry, equations, and sequence and limits. For the most part these…

Suspecting that computer-assisted mathematics instruction helps students attain a higher level of achievement than normal instruction, the author conducted an experiment in two algebra-trigonometry classes. Fifty-one "middle ability" students were divided into two groups. The computer group used the computer both as a computational and teaching…

A computer-assisted instruction (CAI) course in Algebra and General Mathematics is being developed for ninth graders. The course includes a variety of conventional individualized learning experiences along with the "on-line" program. The on-line program accumulates student performance data and allows the teacher to assign appropriate…

Algebra I and General Mathematics courses using tutorial instructional programs under computer control supplemented by "off-line" materials (included in the computer controlled testing) have been developed for a ninth grade student population. This preliminary draft of a teacher's manual for the courses provides outlines of the course…

This is the fourth volume of a series produced by the New York State Education Department. Originally developed by four local school districts, the mathematics objectives and sample items included were not intended to be official or comprehensive but rather to be used as an aid to teachers in constructing curricula and in making classroom goals…

Two distinct strategies for teaching the solution to verbal problems were compared. Programs of instruction were prepared that reflected the Polya Method (read and understand the problem, plan for a solution, carry out the plan, and check the result) and the Dahmus Method (translate the verbal statements into mathematical symbols prior to solving…

This document is the report of a curriculum writing session. Using the recommendations and suggestions of the planning conference (SE 012 733), the writers produced detailed outlines for the grade seven through nine curriculum. The purpose and rationale of each unit are stated, and the separate sections outlined. Sample exercises are included for…

Reported are detailed recommendations on the mathematics offerings in two year colleges which include the usual range of university parallel programs. The basic program is considered under four headings: Calculus Preparatory, Calculus and Linear Algebra, Business and Social Science, and Teacher Training. Twelve courses are discussed and outlined…

The first of four "quins" designed to strengthen fundamental concepts and skills, this course covers properties of real numbers, simple open sentences, factorization of natural numbers, and problem solving. After a list of overall goals, the guide gives performance objectives, course outline, references to state-adopted textbooks, and…

The effects of the combined use of a nonsimulation game and student teams in mathematics on student achievement were investigated. Ninety-six seventh grade students in two low- and two average-ability mathematics classes participated in the study. One low- and one average-ability class played the nonsimulation game Equations twice a week for nine…

FROM A STUDY OF GUILFORD'S MODEL OF THE STRUCTURE OF INTELLECT, THE HYPOTHESIS WAS FORMED THAT THE ABILITIES MOST IMPORTANT TO LEARNING MATHEMATICS AND MOST LIKELY TO BE CULTIVATED IN MATHEMATICS CLASS ARE THOSE WHICH REQUIRE THE OPERATIONS OF COGNITION AND CONVERGENT PRODUCTION PERFORMED ON SYMBOLIC AND SEMANTIC CONTENT. A BATTERY OF TESTS…