This article defines "higher level mathematical skills" and details an important class: that of "constructing instances" of mathematical objects satisfying certain properties. Comment is made on the frequency of higher level tasks in undergraduate work. We explain how such questions may be assessed "in practice" without the imposition on staff of…

This document presents the proceedings of the 17th Annual Research Forum held June 29, 2012, at Wake Forest University in Winston-Salem, North Carolina. Included herein are the following 25 action research papers: (1) "Reading and Writing": A Study Comparing the Strengths of Peer Review and Visible Author Writing Strategies (Elizabeth Behar); (2)…

The questionnaire responses of 38 secondary school mathematics teachers provided initial data for this study. About 26.3% (n = 10) of this number was sampled for classroom observation and in-depth interviews in order to assess the consistency of the dispositions. Only 15.8% of the schools in the study adopted the calculator version of the…

This document promotes a better awareness of available technological tools, their implementation, and their advantages and applications in teaching and learning mathematics. Principles for successful implementation are: (1) computation should be an integral part of instruction; (2) software and curriculum development should go hand-in-hand; (3)…

Designed as an avenue of communication for all mathematics educators concerned with the views, ideas, and experiences pertinent to two-year college teachers and students, this journal presents articles and regular features related to mathematical and pedagogical themes. This issue includes the following articles: (1) "Fractals for Freshmen? Or,…

Clemson University's Revitalized Undergraduate Mathematics with Symbol Manipulating Graphics Calculators Project introduced Hewlett-Packard HP-48S graphing calculators into undergraduate mathematics instruction to demonstrate that calculators can be effectively integrated into the undergraduate mathematics curriculum. This document reports the…

This publication, the sixth of seven booklets intended for adult education teachers of students with learning disabilities, reviews assessment and remediation considerations in mathematics. Observation of math disabilities is discussed in terms of social and general academic environment, calculation activities, quantitative concepts, and applied…

The purpose of this study was to discover what teachers believe about problem solving in mathematics and to what extent their beliefs are reflected in the beliefs of students. Ten 5th-grade teachers in a large rural school district volunteered to participate. Each teacher identified one student perceived as successful and one perceived as…

Several competencies and instructional strategies necessary to accommodate the changing role of teachers of mathematics at middle-school level are described. Also provided are teacher-generated and teacher-tested instructional activities that can be used to facilitate student success in learning mathematical concepts. After describing the…

This workbook was designed as an easy-to-read, slower-paced text for students who have learning, reading, and language problems. As one of five workbooks to aid low achievers in problem solving, it focuses on how to use calculators to perform the computation required to solve mathematical problems. Using calculators as an aid to computation can…

Activities in this edited volume of reprints from the Mathematics Teacher were selected in response to recommendations made by the National Council of Teachers of Mathematics for improving curriculum content. Specific areas addressed are problem solving, expanding basic skills, using calculators, using computers, and using manipulatives. Each…

This combination methods and resource book is written for preservice and inservice teachers of mathematics in the elementary school. It presents a program based on the research of the learning theories of Piaget, Brownell, Deines, Skemp, and Gagne and on successful classroom practices. The 14 chapters deal with: (1) "Mathematics in the Elementary…

The Comprehensive School Mathematics Program (CSMP) materials presented here were in the process of development at the time of publication. It is noted that children generally classified as slow learners are, in many cases, pupils who have had unhappy experiences with learning. The instructional approach is designed to: (1) inspire pupils with a…

This booklet is designed to provide information on the Comprehensive School Mathematics Program (CSMP) elementary school mathematics curriculum. It attempts to capture the excitement of a workshop experience as well as convey a wealth of substantive information. Paralleling the format of a typical workshop, it presents in a descriptive format a…

Suggestions for using four-function calculators, programmable calculators, and microcomputers are considered in this collection of 36 articles. The first section contains articles considering general implications for mathematics curricula implied by the freedom calculators offer students from routine computation, enabling them to focus on results…