Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Peter Goldsmith P.Eng., University of Calgary

Tagged Divisions

Mathematics

rules for the addition, composition, and inversion of rational relations will now bestated and proved. The following theorem extends that given in 8 by adding a rule for the equalityof two rational relations. Also, the proof presented here uses relational identities.Theorem 10.2 The set of rational relations (Q, +, ·) is a subseminearring of L(C∞ ). For alla1 , a2 ∈ B, and all b1 , b2 , g ∈ B\{0}, a1 ga2 a1 a2 coprime(b1 , a2 ) ⇒ = , (43) b1 g b2 b1 b2 a1 a2 a1 b2 + a2 b1 coprime(b1 , b2

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Judith A Komar, Colorado Technical University; Tonya Troka, Colorado Technical University

Tagged Divisions

Mathematics

Arizona State University students succeed. Retrieved from http://www.knewton.com/assets-v2/downloads/asu-case-study.pdf 5. Small, D. (2002, May/June). An urgent call to improve traditional college algebra programs. MAA Focus. (Summary of the Conference to Improve College algebra held at the U.S. Military Academy, February 7– 10, 2002.) 6. DeBra, P. (2006). Web-based educational hypermedia. In C. Romero, & S. Ventura (Eds.), Data mining and e-learning (pp. 3–17). Southampton, UK: WIT Press. 7. Rajan, R. (2013). Adaptive learning market acceleration program RFP Q & A webinar. Retrieved from: gatesfoundation.org. 8. Brusilovsky, P., & Millán, E. (2007). User models for

Conference Session

Mathematics Division Technical Session 1

Collection

2015 ASEE Annual Conference & Exposition

Authors

Angela Minichiello, Utah State University; Ted Campbell, Utah State University; Jim Dorward, Utah State University; Sherry Marx, Utah State University

Tagged Divisions

Mathematics

obtaining evidence of improved studentachievement during the early “period of classroom adjustment” that occurs when an innovationis introduced into a new classroom setting and the difficulty of seeing learning improvement thefirst few times an innovation is used25 (p. 98). PI: So if you had to rate this whole experience [of using the online forum in Calculus I], one to ten, what would you rate it? MI: Pretty highly – with ten being the best, right? Q: Yeah… A: I’d say an eight. Q: An eight? A: Yeah, I’d say an eight. I mean I would love to have seen dramatic increases in performance on exams, but you know, realistically we shouldn’t even expect that