Softcover ISBN:  9780821833025 
Product Code:  CBMATH/12 
206 pp 
List Price:  $54.00 
Individual Price:  $43.20 
Electronic ISBN:  9781470423575 
Product Code:  CBMATH/12.E 
206 pp 
List Price:  $54.00 
Individual Price:  $43.20 

Book DetailsCBMS Issues in Mathematics EducationVolume: 12; 2003MSC: Primary 00; 97;
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.
ReadershipGeneral mathematical audience interested in mathematics education.

Table of Contents

Articles

María Trigueros and Sonia Ursini  1. Firstyear undergraduates’ difficulties in working with different uses of variable

Abbe Herzig and David Kung  2. Cooperative learning in calculus reform: What have we learned?

Cheryl Roddick  3. Calculus reform and traditional students’ use of calculus in an engineering mechanics course

Pessia Tsamir  4. Primary intuitions and instruction: The case of actual infinity

Kirk Weller, Julie Clark, Ed Dubinsky, Sergio Loch, Michael McDonald and Robert Merkovsky  5. Student performance and attitudes in courses based on APOS theory and the ACE teaching cycle

David Meel  6. Models and theories of mathematical understanding: Comparing Pirie and Kieren’s model of the growth of mathematical understanding and APOS theory

Jack Bookman and David Malone  7. The nature of learning in interactive technological environments: A proposal for a research agenda based on grounded theory


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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.
General mathematical audience interested in mathematics education.

Articles

María Trigueros and Sonia Ursini  1. Firstyear undergraduates’ difficulties in working with different uses of variable

Abbe Herzig and David Kung  2. Cooperative learning in calculus reform: What have we learned?

Cheryl Roddick  3. Calculus reform and traditional students’ use of calculus in an engineering mechanics course

Pessia Tsamir  4. Primary intuitions and instruction: The case of actual infinity

Kirk Weller, Julie Clark, Ed Dubinsky, Sergio Loch, Michael McDonald and Robert Merkovsky  5. Student performance and attitudes in courses based on APOS theory and the ACE teaching cycle

David Meel  6. Models and theories of mathematical understanding: Comparing Pirie and Kieren’s model of the growth of mathematical understanding and APOS theory

Jack Bookman and David Malone  7. The nature of learning in interactive technological environments: A proposal for a research agenda based on grounded theory