This unit considers the application of calculus in determining price discrimination and consumer surplus in a competitive market. Producer surplus and two-tier price discrimination are also developed in problems. It is noted that calculus cannot usually provide numerical answers for practical economic problems. The importance of calculus…

An experienced second grade teacher participated in three two-hour planning sessions in which she planned for the course of instruction for the school year in mathematics, science, and writing. The teacher "thought aloud" as she planned, and two researchers present took written notes. In general, her yearly planning was aimed at setting…

To determine the effectiveness of mathematical vocabulary training on the problem solving ability of third and fourth grade students, 66 students were placed into either an experimental or a control group. All were pretested and posttested with an experimental mathematics vocabulary test and with a standardized mathematics test. Mathematical…

This paper, presented at the 1979 meeting of the American Educational Research Association (AERA), investigates the relationship between self-assessment of knowledge and performance, and mathematical aptitude. One hundred college students (51 females, 49 males) participated. Participants, grouped according to mathematical aptitude, were…

A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS PRESENTED. THE PURPOSE IS TO TEACH THE FIFTH- OR SIXTH-GRADE STUDENT TO USE GOOD JUDGMENT AND REASONING IN LOCATING THE DECIMAL POINT. A DISCUSSION OF THE PURPOSE AND IMPORTANCE OF BEING ABLE,…

IT IS THE EXPRESSED HOPE OF THE AUTHORS THAT THE PRACTICES DESCRIBED HERE WILL STIMULATE READER MODIFICATIONS OF THE MATERIAL PRESENTED, FOR EFFECTIVENESS IN ANY SCHOOL SITUATION. THE BOOK PRESENTS METHODS, PROCEDURES, AND TECHNIQUES FOR TEACHING CRITICAL THINKING IN JUNIOR AND SENIOR HIGH SCHOOL. CRITICAL THINKING AND PROBLEM SOLVING, USED…

IT IS HELD THAT THE ESSENCE OF EDUCATION IS FOUND PRIMARILY IN THE PROCESSES OF ACQUIRING AND USING KNOWLEDGE, AND SECONDARILY IN THE COMMAND OF BODIES OF INFORMATION AND IDEAS. THE FOUR "PROCESS GOALS" WHICH APPLY TO ANY DISCIPLINE ARE--TOOL SKILLS SUCH AS ARITHMETIC AND READING, PROBLEM-SOLVING, THINKING, OR INQUIRY, SELF-INSTRUCTION, AND…

Implementation of an adaptive achievement test for teaching signed-numbers operations to junior high students is described. A computer program capable of finding 240 basic errors in signed-number computations was written on the PLATO system and used for analyzing a 64-item conventional test, as well as an adaptive test of addition problems. The…

Forty-three first-grade children, who had received no formal instruction in addition and subtraction, were individually administered 20 problems that could be solved using addition or subtraction. The problems were selected to represent the following semantic types: joining, separating, part-part-whole, comparison, and equalizing. Responses were…

This paper provides a thorough description of a method of analyzing and scoring group discussions from a particular point of view. After discussing shortcomings of traditional methods of reporting data from group discussions and problems inherent in the use of paper-and-pencil creativity tests, the author describes a method which was developed as…

Fifteen research reports related to mathematics education are abstracted and analyzed. The reports abstracted were selected from four educational journals and three psychological journals, and deal with a wide variety of topics. The development of children's understanding of diverse mathematical and logical concepts is discussed in four articles,…

This study investigated the differential effectiveness of two instructional techniques for field-dependent and field-independent fourth graders. Instruction consisted of eight worksheets and two tests. For one group worksheets contained perceptual structuring while for the other they contained both perception and cognitive structuring. This…

This document is an annotated listing of national and international curricular projects concerned with problem solving and concept formation at the early childhood level. It contains 50 citations. (WD)

This material was developed to be used with the non college-bound student in the senior high school. It provides the student with everyday problems and experiences in which practical mathematical applications are made. The package includes worksheets pertaining to letterhead invoices, sales slips, payroll sheets, inventory sheets, carpentry and…

Eighteen research reports related to mathematics education are abstracted and critically analyzed. Seven of the reports deal with general instructional concerns (feedback on homework, error patterns, teacher-student interaction, reading strategies, teacher effectiveness, school attendance, and learning environment), four with topics in mathematics…