## The Teaching and Learning of Mathematics at University Level: An ICMI StudyThis book is the final report of the ICMI study on the Teaching and Learning of Mathematics at University Level. As such it is one of a number of such studies that ICMI has commissioned. The other Study Volumes cover assessment in mathematics education, gender equity, research in mathematics education, the teaching of geometry, and history in mathematics education. All ofthese Study Volumes represent a statement of the state of the art in their respective areas. We hope that this is also the case for the current Study Volume. The current study on university level mathematics was commissioned for essentially four reasons. First, universities world-wide are accepting a much larger and more diverse group of students than has been the case. Consequently, universities have begun to adopt a role more like that of the school system and less like the elite institutions of the past. As a result the educational and pedagogical issues facing universities have changed. Second, although university student numbers have increased significantly, there has not been a corresponding increase in the number of mathematics majors. Hence mathematics departments have to be more aware of their students’ needs in order to retain the students they have and to attract future students. As part of this awareness, departments of mathematics have to take the teaching and learning of mathematics more seriously than perhaps they have in the past. |

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### Contents

Towards a New Paradigm of Teaching Mathematics at a University Level | 3 |

Implications for Diversity and Equity | 13 |

Policy Issues | 27 |

Policy Issues Concerning Teaching at a University Level in France | 37 |

Mathematics Education in Chinese Universities | 45 |

Policy in Sweden | 49 |

PRACTICE | 57 |

A Working Group Project | 59 |

Research on the Teaching and Learning of CalculusElementary Analysis | 283 |

MATHEMATICS AND OTHER DISCIPLINES | 301 |

Redefining University Mathematics | 303 |

Mathematics And Other Subjects | 313 |

Teaching Mathematics to Physicists and Engineers | 321 |

Ask What Modelling Can do for Mathematics | 335 |

TECHNOLOGY | 347 |

A Working Group Report | 349 |

Working Group Report | 71 |

The SecondTertiary Interface | 87 |

Practice and Theory | 99 |

Professional Development for Changing Undergraduate Mathematics Instruction | 113 |

Scientific Debate in Mathematic Courses | 127 |

An Effort to Increase Student Success | 137 |

25 Years of Experience with the Roskilde Model | 153 |

The ActiveInteractive Classroom | 167 |

Concordia University Montreal Canada | 179 |

Eidgenössische Technische Hochschule Zurich Switzerland | 185 |

Universidad Nacional Del Litoral Santa Fe Argentina | 191 |

Universiti Teknologi Malaysia Malaysia | 195 |

University of Joensuu Finland | 199 |

RESEARCH | 205 |

What Can We Learn from Educational Research at the University Level? | 207 |

Purposes and Methods of Research in Mathematics Education | 221 |

Tertiary Mathematics Education Research and Its Future | 237 |

Research into the Teaching and Learning of Linear Algebra | 255 |

A Constructivist Theory of Learning in Undergraduate Mathematics Education Research | 275 |

Technology in College Statistics Courses | 357 |

Some Examples | 371 |

Reflections on the Sustained Use of Technology in Undergraduate Mathematics Education | 381 |

Finding a Role for Technology in Service Mathematics for Engineers and Scientists | 395 |

ASSESSMENT | 405 |

Assessing Undergraduate Mathematics Students | 407 |

Assessing Mathematical Thinking Via FLAG | 423 |

Assessing Student Project Work | 431 |

TEACHER EDUCATION | 443 |

A Working Group Report | 445 |

Using Research to Inform PreService Teacher Education Programmes | 455 |

Mathematicians and the Preparation of Elementary Teachers | 467 |

From Academic Training to Professionalization | 481 |

Role and Responsibilities of University Mathematicians | 501 |

On The Training of French Prospective University Teachers | 519 |

Professionalisation of Teaching in Higher Education in the United Kingdom | 529 |

Organizing Mathematical Activities | 539 |

553 | |

### Other editions - View all

The Teaching and Learning of Mathematics at University Level: An ICMI Study Derek Holton Limited preview - 2006 |

The Teaching and Learning of Mathematics at University Level: An ICMI Study Derek Holton Limited preview - 2001 |

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