Undergraduate students' choices and success in their career and life is influenced by their mathematics achievement and perception of themselves in life. Conceptual understanding of topics in undergraduate mathematics such as quantitative reasoning can be difficult for students with less sophisticated multiplicative reasoning than others. This…

TIMSS (Trends in International Mathematics and Science Study) is a long-standing international assessment of mathematics and science at the fourth and eighth grades, collecting trend data every four years since 1995. Over 70 countries rely on TIMSS to monitor their education systems in a global context, benchmarking national curricula and…

Mathematical thinking beliefs are a significant element in supporting teachers' practices of learning and teaching school mathematics. Most prior researches on mathematics beliefs have focused on teachers' beliefs about learning and teaching mathematics in general. This research aimed to validate a Mathematical Thinking Belief instruments (MTB).…

This study investigated Turkish middle school students' proportional reasoning and provided a diagnostic assessment of their strengths and weaknesses on the ratio and proportion concepts. A proportional reasoning test with 22 multiple-choice items was developed from the context of the loglinear cognitive diagnosis model. The test was developed…

Based on a synthesis of the literature in inductive reasoning, a framework for prescribing and assessing mathematics inductive reasoning of primary school students was formulated and validated. The major constructs incorporated in this framework were students' cognitive abilities of finding similarities and/or dissimilarities among attributes and…

A study examined the effects of manipulating the representation and organizational features of mathematical problems on students' abilities to solve them. Subjects for the study were 238 high school students who had demonstrated ability in computing percentages in a nonproblem solving format. The data analyzed in the study were student responses…

A conceptual framework is provided for generating assessment tasks that provide an instructor with a richer description of student reasoning/thinking than is possible by simply giving students problems to solve. The application of this framework is illustrated with material from introductory statistics courses which focus on: (1) sampling; (2)…

A test of problem solving behavior which provides information about the mastery of the prerequisites of the problems has been developed for fourth grade children. Each problem solving question is preceded by two other questions which assess the child's understanding of the information contained in the actual question, and an application question…

The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…

THE FACTORS RELATED TO UNDERACHIEVEMENT AND LOW ACHIEVEMENT IN MATHEMATICS LEARNING WERE STUDIED. USING AN INDIVIDUAL CLINICAL APPROACH, THE STUDY WAS CONDUCTED WITH TWO SAMPLE GROUPS, 12 UNDERACHIEVERS AND 11 LOW ACHIEVERS, IN GRADES 4-6. SCORES WERE OBTAINED ON CONCRETE, SEMICONCRETE, AND ABSTRACT REASONING LEVELS FOR THE MATHEMATICS EDUCATION…

This publication describes several different teaching strategies employed to enhance students' understanding of mathematics, such as working in cooperative learning groups, giving presentations based on problems that were solved, and writing about solutions that were found. This innovative approach to teaching mathematics resulted in questioning…

This study is based on data from a state-wide assessment that included both multiple-choice and constructed-response items. The intent of the study was to see whether item types make a difference in gender results. The items on both tests were categorized according to whether they assessed procedural knowledge, concepts, problem solving, or…

The National Assessment of Educational Progress (NAEP) reports on the status and progress of educational achievement in the United States. Based on its surveys, "The Nation's Report Card" provides comprehensive information about what students in the United States can do in various subject areas. The framework for the 1990 mathematics…

This study compared the results of group tests of computational skills and tests of knowledge and skills in mathematics between three groups of first and fifth grade students from the United States, Japan, and Taiwan. The battery of tests were constructed after reviewing the mathematics textbooks used in each location and discussing the major…

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…