The purpose of the study was to investigate problem-solving performance with regard to non-routine problem experiences in which the computer and flow charts were used as aids. Performance data were collected using an investigator-constructed posttest. Sixty-eight eighth grade students were partitioned into four treatment groups: G1 used neither…

Two studies were designed to identify two learning styles. Study I looked at the effect of the analytic-global cognitive style on the acquisition of three geometry concepts presented through written lessons which did or did not contain verbal emphasis of relevant attributes. A total of 108 analytic and global seventh grade students were identified…

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…

Thirty lessons for a seventh grade general mathematics course for urban ghetto students were written using non-standard English. A class which used the teacher-developed materials was compared to a second class following the standard text. Pre- and post-tests were given with a t-test applied to the data. Findings showed that the non-standard…

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 study was designed to investigate the effects of discovery and expository methods of presentation on the immediate acquisition and retention of geometry concepts by seventh graders. Four geometry concepts, "quadrilateral,""rhombus,""trapezoid," and "parallelogram," were presented in written lessons which used either an expository or a…

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…

This is a collection of 20 abstracts of research papers presented at the 50th annual meeting of the National Council of Teachers of Mathematics. Four papers were presented at each of five research reporting sections: (1) mathematics instruction and instructional materials, (2) aspects of mathematics learning, (3) general research topics in…

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…

This study compared the relative effectiveness of the new University of Illinois Committee on School Mathematics (UICSM) "Stretchers and Shrinkers" and "Motion Geometry", mathematics materials with traditional mathematics materials in improving arithmetic ability of underachievers. Data on arithmetic computation, concepts, and…

This compilation of 138 problems illustrating applications of high school mathematics to various aspects of space science is intended as a resource from which the teacher may select questions to supplement his regular course. None of the problems require a knowledge of calculus or physics, and solutions are presented along with the problem…

After a brief summary of their development, the mathematics objectives of the National Assessment of Educational Progress are classified under three dimensions: (1) The Use of Mathematics dimension has three levels: social, technical, and academic. Within each level, a hierarchy of subject matter and skills from easy (90 percent correct) to very…

This booklet contains five activities designed to assist secondary school science students master the skills of scale reading, taking an arithmetic mean, locating points on a graph, drawing graphs to represent relationships, and recognizing experimental error in a graph of a simple relationship. The unit is a trial version of a techniques unit…

Unit 9 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: sets and the number line, numerals and variables, sentences and properties of operations, open sentences and English sentences, the real numbers, properties of addition, properties of multiplication, properties of order, and…

Unit 18 in the SMSG secondary school mathematics series is a student text covering the following topics: logarithms and exponents; trigonometry; the system of vectors; polar form of complex numbers; sequences and series; permutations, combinations, and the binomial theorem; and algebraic structures. (DT)