Knowledge assessments in undergraduate mathematics education commonly evaluate response correctness to determine learner proficiency. However, simultaneous evaluation of learner metacognition more accurately assesses the multiple dimensions of knowledge and has been shown to increase assessment validity and reliability. Research into…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Introduction: The proposed poster will describe the observational data collection methodology and preliminary findings from a large-scale efficacy study examining a corequisite mathematics intervention at the community college level. Specifically, the larger study is conducting a randomized controlled trial of the Carnegie Math Pathways (CMP)…

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the…

We consider the effect on estimation of simultaneous variable centering and interaction effects in linear regression. We technically define, review, and amplify many of the statistical issues for interaction models with centering in order to create a useful and compact reference for teachers, students, and applied researchers. In addition, we…

Curriculum materials are among the most pervasive and powerful influences on school mathematics. In many mathematics classes, student assignments, the questions the teacher asks, the ways students are grouped, the forms of assessment, and much more originate in curriculum materials. At the same time, teachers have considerable latitude in how they…

This study details the establishment of a teacher/learner laboratory at Monash University in Australia and the information it yielded about the learning and teaching of mathematics. Both instructors and learners understood they were cooperating to help develop an understanding of difficulties in learning and teaching strategies and ways to reduce…

Reported are results of a study of a sample of 259 students at the University of Massachusetts who scored low on a math placement test and later took precalculus math classes. Several possible conclusions are presented to explain the test results. A significantly higher percentage (p<.05) of a remedial sample (compared to a non-remedial sample)…

Lists five criteria in the acceptance of mathematical theorems, such as understanding, significance, compatibility, reputation, and convincing argument. Concludes that social and language factors are involved in the process of the acceptance. (YP)

This is a resource book that indexes all articles published in "The Mathematics Teacher" from 1976-1985 (Volumes 69-78). Entries are indexed alphabetically by author and subject. "The Mathematics Teacher" is a journal devoted to the improvement of mathematics instruction in the junior high schools, high schools, and colleges.…

This paper proposes an hypothsis describing how some college students incorrectly view semantically laden letters and provides both clinical and written data that supports that hypothesis. Several word problems were given to nine college math students. These students were then interviewed as they attempted to solve these problems. In addition to…

The Sixth International Congress on Mathematical Education (ICME-6) was special in that it provided a context commemorating the life and work of George Polya (1887-1985) whose native land was Hungary and to whom all those interested in the teaching of mathematical problem solving owe a great debt. What follows in this publication is a collection…

Students enrolled in two sections of college algebra (Math 110) at the University of Maryland in spring 1984 were informed about assistance available from the Math Lab. They were also informed that a sticker would be attached to any one of the four semester exams when grades indicated that the student should pursue one or more of the Lab services.…

Explores whether the differences in use of terminology were related to respective fields or to idiosyncratic characteristics of experience and education. Reports differences among college teachers, high school teachers, and college students from a 16-item survey on algebraic and graphing terminology used in mathematics and science. (YP)

The focus of this document is on students' understanding of symbolization processes in algebra, and specifically their understanding of semantically laden letters. In the first four sections, four inappropriate ways in which many college students use semantically laden letters are described. Evidence from clinical interview protocols demonstrate…