Though the curriculum reform movement that began in 1989 has had a significant impact on calculus pedagogy and content (Windham, 2008), the question remains to what extent reform-based calculus textbooks reflect these reforms. This paper explores this question by analyzing the mathematical content and pedagogical approach of the chapter on…

Students in higher education deserve opportunities to succeed and learning environments which maximize success. Mathematics courses can create a barrier for success for some students. College algebra is a course that serves as a gateway to required courses in many bachelor's degree programs. The content in college algebra should serve to…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

This study originated from the realization that many community college students have significant difficulties with the concepts related to linear functions and their graphs even though these topics are included in the mathematics curriculum from about third grade onward. It is an attempt to identify possible gaps in the math standards in this…

This longitudinal study tracks primary participants over 3 years from their last year of university preservice teaching training through their second year of in-service teaching via surveys, interviews, and teaching observations. The study employs a descriptive case study design to examine the transfer of preservice content, pedagogy, and video…

We developed four separate scenarios focusing on the connections between mathematics, biology, and social sciences. This structure facilitated the coordination of faculty from seven academic departments on campus. Each scenario had students from different majors build mathematical models, gather information from their respective disciplines, and…

This paper discusses the curriculum and students' and teachers' conceptions of proof. It goes on to discuss university students' difficulties with proving related to understanding and using definitions and theorems, understanding the structure of a proof, knowing how to read and check proofs, knowing and using relevant concepts, bringing…

Finds many postsecondary students unable to understand or apply arithmetic concepts. Identifies problems in college arithmetic curricula and in students' academic skills. Reviews reform efforts in elementary/secondary mathematics curricula, arguing for similar reforms in college level developmental mathematics. Reviews issues related to calculator…

This paper presents the thesis that pair problem-solving serves as an aid to students in developing their metacognitive skills. Metacognition has been defined as knowledge and cognition about cognitive objects and as any kind of monitoring. The ability to monitor one's thoughts and actions is greatly facilitated through the pair problem-solving…

Suggests instructional modifications that utilize liberal arts students interests and strengths to stimulate their interest in mathematics. Suggestions recommend that teachers (1) relate mathematics to current critical issues; (2) make use of projects and open-ended problems; (3) utilize collaborative learning; and (4) provide opportunities for…

Describes two studies of mathematical problem solving using an episode from "The Adventures of Jasper Woodbury," a set of curriculum materials that afford complex problem-solving opportunities. Discussion focuses on characteristics of problems that make solutions difficult, kinds of reasoning that dyadic interactions support, and…

The role of mathematics in the college curriculum and applications of mathematics in society are examined in this pamphlet produced by the NRC's Ad Hoc Committee on Applied Mathematics Training. It is suggested that the growing need for mathematicians in the physical, biological, and social sciences has changed the constituency of potential…

The first volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents plenary lectures; research forums; discussion groups; working sessions; short oral communications; and posters from the meeting. Plenary lecture papers include: (1) On Humanistic Mathematics Education: A…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…