2012 Fall

Readings

September 21st - The Language of Mathematics

• 1. Beazley - Math as ESL (1 page)

  2. Chapter 1: Definitions from Alcock, Simpson - Ideas from mathematics education (10 pages)

  3. Epp - Language of quantification in mathematics instruction (7 pages)

Also attached below.

October 26th - Proof Comprehension

• 1. Seldon, Seldon - Validations of Proofs Considered as Texts (33 pages)

  2. Ingles, Alcock - Expert and Novice Approaches to Reading Mathematical Proofs (33 pages)

  3. Yang - Structures of cognitive and metacognitive reading strategy use for reading comprehension of geometry proof (20 pages)

November 16th - Student Input

Selected readings from the following sources:

• 1. Angelo, Cross - Classroom Assessment Techniques (pg. 43, 69 - 72, 222 - 225, 330 - 333)

  2. Gold, Keith, Marion (ed.) - Assessment Practices in Undergraduate Mathematics (pg. 91 - 93, 98 -100, 155 - 157)

December 7th - Infinity and Sequences

• 1. McDonald, Brown - Developing Notions of Infinity (10 pages)

  2. Roh - An empirical study of students' understanding of a logical structure in the definition of limit (17 pages)

  3. Mamona-Downs - Letting the Intuitive bear on the Formal (30 pages)

Schedule

We will meet one Friday a month from 5:00pm - 6:30pm.

• September 21 at Courant Institute of Mathematical Sciences of New York University

• October 26 at Columbia University Department of Mathematics

• November 16 at Courant Institute of Mathematical Sciences of New York University

• December 7 at Columbia University Department of Mathematics