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Fernandez, Eileen; Geist, Kristi A. – Mathematics Teacher, 2011
Logistic growth displays an interesting pattern: It starts fast, exhibiting the rapid growth characteristic of exponential models. As time passes, it slows in response to constraints such as limited resources or reallocation of energy. The growth continues to slow until it reaches a limit, called capacity. When the growth describes a population,…
Descriptors: Textbooks, Calculus, Mathematics Instruction, Mathematical Concepts
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Fernandez, Eileen – PRIMUS, 2004
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…
Descriptors: Concept Formation, Calculus, Misconceptions, College Mathematics
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Fernandez, Eileen; Jones, Michael A. – Mathematics and Computer Education, 2006
"How can this Abstract Algebra course help me to teach Algebra in high school?" To professors of prospective mathematics teachers, this type of question has a resounding familiarity. Because students are unclear as to the relationship between upper division mathematics courses and the high school curriculum, answering the opening question to the…
Descriptors: Teaching Methods, Teaching (Occupation), High Schools, Secondary School Curriculum