This collection of nine case studies in applied mathematics was written primarily for the use of the instructor by a Conference sponsored by the Committee on the Undergraduate Program in Mathematics (CUPM). Each chapter contains exercises of varying degrees of difficulty and several include student projects. The materials were used on a trial…

This book shows the advantages of Rasch measurement (G. Rasch) for school district testing programs. The results of Rasch methods are contrasted with conventional statistics for assessing student responses to basic skills testing. Chapter 1 shows how the Rasch probability-based method produces measures that are more useful for students, parents,…

A psychometric model called Saltus, which represents the qualitative aspects of hierarchical development in a form applicable to additive measurement, was applied. Both Piaget's theory of cognitive development and Gagne's theory of learning hierarchies were used to establish the common features of hierarchical development: (1) gappiness--the…

Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modeling, unify diverse content, call for different representations, and encourage students to look back at their work to…

Algebra is no longer just for college-bound students. After a widespread push by the National Council of Teachers of Mathematics (NCTM) and teachers across the country, algebra is now a required part of most curricula. However, students' standardized test scores are not at the level they should be. NCTM's seventieth yearbook takes a look at the…

Drawing on the authors' extensive experience at Stanford University as well as the work of others, this book offers the first systematic approach to fiscal and human resource planning at colleges and universities. It shows how decision models can and should become an integral part of the planning process. The uses and misuses of planning models in…

This study explores some techniques that could assist education managers in their attempt to arrive at more optimal input and output mixes. The first part (Chapters 1-4) provides an overview of the input-output concept in relation to its employment in the educational setting, along with a review of the literature on the educational production…

The philosophical underpinning of the purposes of the community college, an examination of the basis for state financial support from a philosophical viewpoint, and an analysis of the ways in which the various states have implemented that philosophy in financial support programs are the central focus of this report. The four current patterns of…

The 21 essays in this two-part book provide conceptual and operational understanding of the nature of models as representations of reality and as tools for description, analysis, interpretation, and forecasting. Topic areas addressed in part 1 (concept) include: the nature of models; the earth as a system; the determination of form; some…

The growing complexity of policy decisions in such areas as education and manpower necessitates increased research, which in turn requires an adequate data base and adequate methodology. Recognition that the variables affecting the vocational and educational choices of high school graduates are interrelated and require examination from several…

Evaluation is an act of persuasion directed to a specific audience concerning the solution of a problem. The process of evaluation is prescribed by the nature of knowledge--which is generally complex, always uncertain (in varying degrees), and not always propositional--and by the nature of logic, which is always selective. In the process of…

This document describes the contributions of African peoples to the science of mathematics. The development of a number system is seen as related to need. Names of numbers, time reckoning, gesture counting, and counting materials are examined. Mystical beliefs about numbers and special meanings in pattern are presented. Reproductions of patterns,…

The 14 chapters of this book focus on the technical advances, advances in applied settings, and emerging topics in the testing field. Part 1 discusses methodological advances, Part 2 considers developments in applied settings, and Part 3 reviews emerging topics in the field of testing. Part 1 papers include: (1) "Advances in…

This volume contains papers submitted to the 12th Annual International Conference of the Bulgarian Comparative Education Society (BCES), held in Sofia and Nessebar, Bulgaria, in June 2014, and papers submitted to the 2nd International Partner Conference, organized by the International Research Centre 'Scientific Cooperation,' Rostov-on-Don,…