Education Commons^™

Coming Up With A Good Question Is Not Easy: A Proof, Joe Lorkowski, Luc Longpre, Olga Kosheleva, Salem Benferhat

Departmental Technical Reports (CS)

Ability to ask good questions is an important part of learning skills. Coming up with a good question, a question that can really improve one's understanding of the topic, is not easy. In this paper, we prove -- on the example of probabilistic and fuzzy uncertainty -- that the problem of selecting of a good question is indeed hard.

Creative Discussions Or Memorization? Maybe Both? (On The Example Of Teaching Computer Science), Vladik Kreinovich, Olga Kosheleva

Departmental Technical Reports (CS)

We all strive to be creative in our teaching, but there is often not enough time to make all the topics creative fun. So sometimes, we teach memorization first, understanding later. We do it, but we often do it without seriously analyzing which topics to "sacrifice" to memorization. In this talk, we use simple mathematical models of learning to come up with relevant recommendations: Namely, all the topics form a dependency graph, and if we do not have enough time to allow students to treat all topics with equal creativity, then the most reasonable topics for memorization first are the …

High School Students' And Scientists' Perceptions Of A Student-Scientist Partnership, Karla Singh

Open Access Theses & Dissertations

The idea of getting high school students to work with scientists has become a hot topic. There have been many programs that get students involved with scientists to gain experience. Having students work with scientists allows students to practice authentic science. These programs also aim to get more students interested in science and hopefully inspire these students to go into a science career. Researchers have looked at several aspects during these interactions. These aspects include students' interest, students' ability, students' career choice and students' perceptions of the scientific community. However, few studies are known that include trying to understand students' …

Challenges In Assessing College Students' Conception Of Duality: The Case Of Infinity, Grace Olutayo Babarinsa-Ochiedike

Open Access Theses & Dissertations

Interpreting students' views of infinity posits a challenge for researchers due to the dynamic nature of the conception. There is diversity and variation among students' process-object perceptions. The fluctuations between studentsâ?? views however reveal an undeveloped duality conception. This study examined college students' conception of duality in understanding and representing infinity with the intent to design strategies that could guide researchers in categorizing students' views of infinity into different levels.

Data for the study were collected from N=238 college students enrolled in Calculus sequence courses (Pre-Calculus, Calculus I through Calculus III) at one of the southwestern universities in the U.S. …

Borderland Pedagogy Study Of High School Mathematics Teachers' Lesson Plan Development And Implementation Practices, Rocio E. Gallardo

Open Access Theses & Dissertations

The aim of the study is to examine high school mathematics teachers' lesson plan development and implementation practices used in the border region of Mexico and USA. The study also attempts to determine how a transition from Mexico (Ciudad Juarez, Chihuahua) to the U.S. (El Paso, TX) impacts high school mathematics teacher's lesson plan development practices incorporating the Borderland Pedagogy. The Borderland Pedagogy theoretical framework (Cline & Necochea, 2006; Romo & Chavez 2006; Fiume, 2005) was developed to explore educational experiences of teachers situated within border regions. The framework highlights key characteristics of Borderland Pedagogy that influence lesson plan development …

High School Mathematics Teachers' Connective Knowledge Of The Challenges And Possibilities In Implementing The Flipped Learning Model: An Embedded Mixed-Methods Study, Karla Huereca

Open Access Theses & Dissertations

The impact of technology advancements in our current society continues to transform the ways in which we interact with each other, and the educational field has not been exempt from this transformation. Integration of technology in schools has influenced educators to seek new ways of teaching that adapt to the needs of students who are impacted by a digital wave. That is the case of a new instructional approach, which is being known as the Flipped Learning Model (FLM). The FLM intends to use pre-recorded video lessons to teach outside the classroom and incorporate homework and problem solving inside the …

Pre-Service Elementary Teachers' Affective Dispositions Toward Mathematics, Benjamin R. Mcdermott

Open Access Theses & Dissertations

The purpose of this study was to measure and report pre-service elementary teachers' affective domain of productive disposition toward mathematics during the semester they were enrolled in a reform-based mathematics methods course. The study attempted to observe and report dynamic and enduring aspects of disposition as well as the perceived reasons for any changes, or lack thereof, in disposition. The rationale for focusing on disposition is related to Kilpatrick, Swafford, and Findell's (2001) inclusion of productive disposition as one of the five interdependent strands of the mathematical proficiency conceptual framework. Furthermore, it has been argued that dispositions develop at very …