### Abstract

This paper describes a sequence of lessons from two Calculus I classes for teaching the epsilon-delta definition of a limit. In these lessons, the author elicited students' misconceptions and perceptions of this definition through a reading/writing lesson and then used these student ideas to design a lesson aimed at addressing these misconceptions and perceptions. An evaluation of students' understandings based on these lessons is included. Implications for teaching the epsilon-delta definition are discussed throughout the paper.

Original language | English |
---|---|

Pages (from-to) | 43-54 |

Number of pages | 12 |

Journal | PRIMUS |

Volume | 14 |

Issue number | 1 |

DOIs | |

State | Published - 1 Jan 2004 |

### Fingerprint

### Keywords

- Calculus
- Epsilon-Delta
- Student thinking

### Cite this

}

*PRIMUS*, vol. 14, no. 1, pp. 43-54. https://doi.org/10.1080/10511970408984076

**The students' take on the epsilon-delta definition of a limit.** / Fernandez, Eileen.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - The students' take on the epsilon-delta definition of a limit

AU - Fernandez, Eileen

PY - 2004/1/1

Y1 - 2004/1/1

N2 - This paper describes a sequence of lessons from two Calculus I classes for teaching the epsilon-delta definition of a limit. In these lessons, the author elicited students' misconceptions and perceptions of this definition through a reading/writing lesson and then used these student ideas to design a lesson aimed at addressing these misconceptions and perceptions. An evaluation of students' understandings based on these lessons is included. Implications for teaching the epsilon-delta definition are discussed throughout the paper.

AB - This paper describes a sequence of lessons from two Calculus I classes for teaching the epsilon-delta definition of a limit. In these lessons, the author elicited students' misconceptions and perceptions of this definition through a reading/writing lesson and then used these student ideas to design a lesson aimed at addressing these misconceptions and perceptions. An evaluation of students' understandings based on these lessons is included. Implications for teaching the epsilon-delta definition are discussed throughout the paper.

KW - Calculus

KW - Epsilon-Delta

KW - Student thinking

UR - http://www.scopus.com/inward/record.url?scp=73949089463&partnerID=8YFLogxK

U2 - 10.1080/10511970408984076

DO - 10.1080/10511970408984076

M3 - Article

VL - 14

SP - 43

EP - 54

JO - PRIMUS

JF - PRIMUS

SN - 1051-1970

IS - 1

ER -