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Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies as well as on the substantial experience of the authors in teaching astract algebra. The main source of ...
Final issue of each volume includes table of cases reported in the volume.
Tulane is the story of a southern school striving for national recognition in the post–World War II era of American research universities. Clarence L. Mohr and Joseph E. Gordon pre-sent a candid, in-depth treatment of the 150-year-old New Orleans institution during this transformative period, when it grappled with such pervasive issues as federal and private funding; academic freedom; an enrollment surge set in motion by the GI Bill and sustained by the postwar “baby boom”; the cold war; desegregation; the antiwar, civil rights, and student-power movements; expanding intercollegiate athletics; censorship; the clash between liberal and utilitarian conceptions of higher learning; revisio...
Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist d...
Shows instructors what mathematics is used at the undergraduate level in various parts of economics. Separate sections provide students with opportunities to apply their mathematics in relevant economics contexts. Brings together many different mathematics applications to such varied economics topics.
The Moore method is a type of instruction used in advanced mathematics courses that moves away from a teacher-oriented experience to a learner-centered one. This book gives an overview of the Moore Method as practiced by the four authors. The authors outline six principles they all have as goals : elevating students from recipients to creators of knowledge; letting students discover the power of their minds; believing every student can and will do mathematics; allowing students to discover, present and debate mathematics; carefully matching problems and materials to the students; and having the material cover a significant body of knowledge. Topics include establishing a classroom culture, grading methods, materials development and more. Appendices include sample tests, notes and diaries of individual courses.
Beginning with art and architecture and culminating with science and mathematics itself, this book discusses geometric ideas and their many applications throughout history. These range from ancient to modern, concrete to abstract, and familiar to cutting edge. Each chapter is written by a leading expert or pioneer in their own field, and the book should be a valuable resource for students and teachers of geometry alike.
In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.