
CBMS Issues in Mathematics Education 2003; 206 pp; softcover Volume: 12 ISBN10: 0821833022 ISBN13: 9780821833025 List Price: US$54 Member Price: US$43.20 All Individuals: US$43.20 Order Code: CBMATH/12 See also: Research in Collegiate Mathematics Education. VII  Fernando Hitt, Derek Holton and Patrick W Thompson  This fifth volume of Research in Collegiate Mathematics Education (RCME) presents stateoftheart research on understanding, teaching, and learning mathematics at the postsecondary level. The articles in RCME are peerreviewed for two major features: (1) advancing our understanding of collegiate mathematics education, and (2) readability by a wide audience of practicing mathematicians interested in issues affecting their own students. This is not a collection of scholarly arcana, but a compilation of useful and informative research regarding the ways our students think about and learn mathematics. The volume begins with a study from Mexico of the crosscutting concept of variable followed by two studies dealing with aspects of calculus reform. The next study frames its discussion of students' conceptions of infinite sets using the psychological work of Efraim Fischbein on (mathematical) intuition. This is followed by two papers concerned with APOS theory and other frameworks regarding mathematical understanding. The final study provides some preliminary results on student learning using technology when lessons are delivered via the Internet. Whether specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas they can use. Also available from the AMS are RCME IV , III , II , and I in the series, CBMS (Conference Board of the Mathematical Sciences) Issues in Mathematics Education. This series is published in cooperation with the Mathematical Association of America. Readership General mathematical audience interested in mathematics education. Table of Contents



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