Conference Session

The Use of Games and Unique Textbooks in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

David Reeping, Ohio Northern University; Kenneth J. Reid, Ohio Northern University

Tagged Divisions

Mathematics

for the text:communicate essential mathematics effectively, represent the engineering professionauthentically with appropriate application problems, and provide support to the student to ensuresuccessful learning experience.Finding a Foundation for a Textbook to Authentically Incorporate EngineeringThe desired content and structure of the book was informed by an advisory board of teachersthrough three guiding questions 1. At the time of the initial survey, teachers representing 10different schools across 2 states offered to assist in this effort. The first round of questions wasdeveloped by the investigators to create some idea for the target for this project in terms ofcontent and market. The teachers were sent the following questions:1

Conference Session

Approaches to Mathematics Curriculum to Include Projects and Technologies

Collection

2014 ASEE Annual Conference & Exposition

Authors

Charles C.Y. Lam, California State University, Bakersfield; Melissa Danforth, California State University, Bakersfield; Ronald Hughes, CSUB STEM Affinity Group

Tagged Divisions

Mathematics

consists of 4 credit hours oflecture, and a 1 credit hour student activity session per week for 10 weeks. The completeCalculus course sequence consists of 4 quarter courses. Class size is normally capped at35. The department used to offer a more comprehensive and longer student activitysession per week until it was removed in 2008 due to budgetary reasons. However, noassessment was carried out to measure the effectiveness of the student activity session inthe past. The Engineering Calculus course is designed such that there is no compromise inthe rigorous treatment of Calculus, while addressing the specific needs of engineeringmajors. The new course includes 4 credit hours of lecture and a 2.5-hour student activitysession per week. The

Conference Session

Approaches to Mathematics Curriculum to Include Projects and Technologies

Collection

2014 ASEE Annual Conference & Exposition

Authors

Jeffrey Lloyd Hieb, University of Louisville; Patricia A Ralston, University of Louisville

Tagged Divisions

Mathematics

the department’s mission is to improve retention of first yearengineering students. Research has shown that for engineering students success in the firstcollege mathematics course is critical for retention.1–3 Therefore, a major retention effort by thedepartment has been to improve the teaching and learning in its engineering mathematics coursesusing educational technologies. Many different sections and courses are taught every semesterby a combination of tenure/tenure track and term faculty. The department has worked to see thatthe use of adopted educational technologies is reasonably consistent across courses and faculty,and that the use of the technologies persists beyond any initial pilot phase. Many factors affectedthe selection and

Conference Session

The Use of Games and Unique Textbooks in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Erin Shaw, University of Southern California; Jihie Kim, University of Southern California; Zinan Xing, University of Southern California

Tagged Divisions

Mathematics

posttest.Pretest and Posttest DifferencesData from pretests and posttests were analyzed and are shown in Table 1. For the Maze gamecomparison, after unmatched samples were removed, the final sample size was 31 pairs. For theShooter game, the final sample size was 12 pairs. We removed a pair of scores that went from7.9 on the pretest to 1.0 on the posttest, which we agreed was done deliberately.Table 1: Mean score comparisons for Maze and Shooter tests. Game Mean Score Percent Correct T-Test (Sample Size) Pretest Posttest Significance (Max Score) Pretest Posttest Value (std

Conference Session

Changing the Classroom Environment in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Jenna Tague, Ohio State University; Gregory Richard Baker, Ohio State University

Tagged Divisions

Mathematics

the students’ grades spreadsheet after thestudent finished the entire module. Through Articulate Storyline, point values for eachquestion can be assigned and the number of attempts possible can also be assigned. Thepoints assigned for each module ranged between 4 and 10 points and altogether counted as apart of the students’ homework grades. Short answer and essay question answers wereviewed by the instructor and the researchers to inform future modules and the lecture for thenext day, but were not graded. An example of an essay question is shown below in Figure 1.Though students were permitted to work together, only individuals' scores were recorded. Onaverage 90% of the students completed each of the modules across the semester.Figure 1

Conference Session

Changing the Classroom Environment in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Rebecca Bourn, Tribeca Flashpoint Media Arts Academy; Sarah C. Baxter, University of South Carolina

Tagged Divisions

Mathematics

, technologyand applied science applications.EFFECTs was developed by a team of researchers at the University of South Carolina underfunding from the National Science Foundation. It has been disseminated via the web and hasover a dozen practitioners who have applied the framework to concepts such as geotechnicalengineering, thermodynamics, mechanics, numerical methods, and scientific visualization,working with students at all stages of their engineering education [1]. The central learning goalsof engineering EFFECTs are to (i) improve the understanding and retention of a specific set ofconcepts that provide core knowledge and (ii) encourage students to recognize and developcritical thinking skills that lead to earlier growth in engineering judgment. The

Conference Session

Approaches to Mathematics Curriculum to Include Projects and Technologies

Collection

2014 ASEE Annual Conference & Exposition

Authors

Gunter Bischof, Joanneum University of Applied Sciences; Annette Casey B.A., University of Applied Sciences FH JOANNEUM, Graz, Austria; Emilia Andreeva-Moschen, Bombardier Transportation Austria GmbH

Tagged Divisions

Mathematics

applies to lattice-gas models, which must be run at moderateMach numbers to remain incompressible, and to avoid spurious high-order nonlinear terms.The behavior of a viscous incompressible fluid is governed by the simplified Navier-Stokesequation, which can be written as ∂v 1 + ( v ⋅ ∇) v = − ∇p + ν ∆v ∂t ρ (1)and by the continuity equation (under the assumption of incompressibility): ∇⋅ v = 0, (2)where v is the flow velocity, p the pressure, ρ the constant mass density, and ν the kinematicviscosity4. The

Conference Session

The Use of Games and Unique Textbooks in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Adrian J. Lee, Central Illinois Technology and Education Research Institute; Sheldon H. Jacobson, University of Illinois, Urbana-Champaign; William A. Cragoe, Sacred Heart-Griffin High School

Tagged Divisions

Mathematics

highschool probability and statistics, and when delivered in the days prior to tournament tip-off, thecurriculum provides an excellent opportunity to inspire students into addressing real worldproblems through mathematical analysis.I. Introduction Commonly referred to as “March Madness”, the NCAA men’s basketball tournament fuelsthree weeks of excitement (and anguish) nationwide as fans root for their favorite collegiateteams to advance through each stage of the competition. Following a committee selectionprocess and set of four initial play-in games, sixty four teams – seeded 1 through 16 in fourseparate regions – participate in a single elimination tournament format to determine who will becrowned national champion. The structure of such a

Conference Session

Changing the Classroom Environment in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Robert Talbert, Grand Valley State University

Tagged Divisions

Mathematics

. Page 24.1233.1 c American Society for Engineering Education, 2014 The inverted classroom in introductory calculus: Best practices and potential benefits for the preparation of engineersWhat is the inverted classroom?Higher education has for many years organized its curricula and instruction around aninstructional design model that should be instantly recognizable to most readers. This modelinvolves three phases for each unit that is taught: 1. The instructor decides what concepts and topics should be covered in the unit and articulates a collection of learning objectives that will eventually be assessed. 2. The instructor uses class time to present information on the main