# IMPLEMENTATION STRATEGIES FOR “EQUATION GURU” - A User Friendly Intelligent Algebra Tutor

### Senay Kafkas, Zeki Bayram, Huseyin Yaratan

#### 2006

#### Abstract

We describe the implementation strategies of an intelligent algebra tutor, the “Equation Guru” (EG), which is designed to help students learn the concepts of equation solving with one unknown. EG provides a highly interactive and entertaining learning environment through the use of Microsoft Agents. It consists of two main parts. The first is the “Tutorial” part where students are guided through the steps of solving equations with one unknown. The second, “Drill and Practice” part gives them a chance to practice their skills in equation solving. In this part, equations are automatically generated by EG, and presented to the student. EG monitors the student’s performance and adjusts the difficulty level of the equations accordingly.

#### References

- Koedinger, K.R. (1998). Intelligent Cognitive Tutors as Modeling Tool and Instructional Model. In NCTM Standards 2000 Technology Conference. Carnegie Mellon University, Pittsburgh.
- Martin, B. et al. (2001). Constraint-Based Tutors: a success story. In Journal of Lecture Notes in Computer Science. 2070 931-940.
- Mayo, M.J. (2001). Bayesian Student Modeling and Decision-Theoretic Selection of Tutorial Actions in Intelligent Tutoring Systems. University of Canterbury, Christchurch, New Zealand.
- Mitrovic, A. and Suraweera, P. (2004). An Intelligent Tutoring System for Entity Relationship Modeling In International Journal of Artificial Intelligence in Education. 14 375-417.
- Ritter, S. and Anderson, J. R. (1995). Calculation and strategy in the equation solving tutor. In Proceedings of the Seventeenth Annual Conference of the Cognitive Science Society,Hillsdale, NJ: Lawrence Erlbaum Associates, 413-418.
- Prince, R. (2004). E-SIT: An Intelligent Tutoring System for Equation Solving. Retrieved September,2004, from http://www.amzi.com/articles/e-sit.doc.
- Razzaq, L. and Heffernan, N.T. (2004). Tutorial dialog in an equation solving intelligent tutoring system. In Workshop on Dialog-based Intelligent Tutoring Systems: State of the art and new research directions at the 7th Annual Intelligent Tutoring Systems Conference,Maceio, Brazil.
- Alpert, S.R. and Singley, M.K. and Fairweather, P.G. (1999). Deploying Intelligent Tutors on the Web: An Architecture and an Example. International Journal of Artificial Intelligence in Education,10 183-197.
- Koedinger, K.R. and Corbett, A. and Ritter, S. and Shapiro, L. (2000). Carnegie Learning's Cognitive TutorTM:
- VanLehn, et al. (1998). What Makes a Tutorial Event Effective?. In Proceedings of the Twenty-first Annual Conference of the Cognitive Science Society.
- Shaw, E. and Johnson, W.L. and Ganeshan, R. (1999). Pedagogical Agents on the Web. In Proceedings of the 3rd annual conference on Autonomous Agents, 238-290.
- Lester, J. et al. (1997). The Persona Effect: Affective Impact of Animated Pedagogical Agents. In Proceedings of CHI 7897, Atlanta, 359-366.
- Kafkas, S. and Bayram, Z. and Yaratan, H. (2005). A User Friendly Intelligent Algebra Tutor. In Proceedings of the 5th International Educational Technologies Conference (IETC'05), Sakarya, Turkey.
- (13x+10)/5=(9x+ 6)/20
- ((-8x+12)/10=(10x-15)/-2
- (-8x-17)/3=(17x-11)/-10
- (ax+b)/c=(a2x+b2)/d
- (ax+b)/c=(a2x-b2)/d
- (ax-b)/c=(a2x-b2)/d
- (-13x+19)/-4+(4x+10)/2=-9
- (ax+b)/c + (a2x+b2)/d = f
- (-4x+11)/-3-(15x+8)/4=-1
- (ax+b)/c - (a2x+b2)/d = f
- (2x-8)/-10+(15x- 8)/10= 5
- (ax-b)/c + (a2x-b2)/d = f
- (-4x-16)/4-(5x-9)/8= 3
- (ax-b)/c - (a2x-b2)/d = f
- a <b,0 <a,b <10
- a <b,10 <=a,b <=20
- a >b,0 <a,b <10
- a >b,10 <=a,b <=20
- a <b,0 <a,b <10
- a <b,10 <=a,b <=20
- a >b,0 <a,b <10
- a >b,10 <=a,b <=20
- 1 <a <=20,0 <b,c <=20
- 1 <a <=20,0 <b,c <=20
- 1 <a <=20,0 <b,c <=20
- 1 <a <=20,0 <b,c <=20
- -20 <=a <-1,-20 <=b,c <=20
- -20 <=a <-1,-20 <=b,c <=20
- -20 <=a <-1,-20 <=b,c <=20
- -20 <=a <-1,-20 <=b,c <=20
- -20 <=a,b,c <=20
- -20 <=a,b,c,d <=20
- -20 <=a,b,c,d <=20
- -20 <=a,b,c,d <=20
- -20 <=a,b,c,d <=20
- -20 <=a,b,c,d <=20
- 0 <c,d <10, 1 <=a,b <=20
- 0 <c,d <10, -20 <=b <-1, 1 <=a <=20
- -10 <c,d <10, -20 <=a <=20, 1 <=b <=20
- -10 <c,d <10,
- -20 <=b <-1, -20 <=a <=20
- -10 <c<10, -20 <=d,
- 1 <=b <=20 , a <=20
- -10 <c<10,
- -20 <=b <=-1,-20 <=a,d <=20
- -10 <=c<=10,
- -20 <=a,a2,d <=20, 1 <=b,b2 <=20
- -10 <=c<=10, <=a,a2,d <=20,
- -20 <= b2 <=-1,1 <=b,b2 <=20
- -10 <=c<=10,
- -20 <=a,a2,d <=20, -20 <=b,b2 <=-1
- -10 <=c<=10,
- -20 <=a,a2,d,f <=20, 1 <=b,b2 <=20
- -10 <=c<=10,1 <=b,
- -20 <=a,d,f <=20,b2 <=20, -20 <= a2 <-1
- -10 <=c<=10, -20 <=d,f <=20,
- -20 <=b,b2 <=-1, 0 <= a,a2 <20
- -10 <=c<=10, -20 <=d,f <=20,
- b2 <=-1 ,-20 <=b, -20 <= a,a2 <-1

#### Paper Citation

#### in Harvard Style

Kafkas S., Bayram Z. and Yaratan H. (2006). **IMPLEMENTATION STRATEGIES FOR “EQUATION GURU” - A User Friendly Intelligent Algebra Tutor** . In *Proceedings of the Eighth International Conference on Enterprise Information Systems - Volume 2: ICEIS,* ISBN 978-972-8865-42-9, pages 58-65. DOI: 10.5220/0002488500580065

#### in Bibtex Style

@conference{iceis06,

author={Senay Kafkas and Zeki Bayram and Huseyin Yaratan},

title={IMPLEMENTATION STRATEGIES FOR “EQUATION GURU” - A User Friendly Intelligent Algebra Tutor},

booktitle={Proceedings of the Eighth International Conference on Enterprise Information Systems - Volume 2: ICEIS,},

year={2006},

pages={58-65},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002488500580065},

isbn={978-972-8865-42-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Eighth International Conference on Enterprise Information Systems - Volume 2: ICEIS,

TI - IMPLEMENTATION STRATEGIES FOR “EQUATION GURU” - A User Friendly Intelligent Algebra Tutor

SN - 978-972-8865-42-9

AU - Kafkas S.

AU - Bayram Z.

AU - Yaratan H.

PY - 2006

SP - 58

EP - 65

DO - 10.5220/0002488500580065