We studied aspects of undergraduate STEM majors' mathematical reasoning as they engaged in mathematically modeling a predator-prey scenario. The study used theoretical viewpoints on quantitative reasoning to inform scaffolding moves that would assist modelers in overcoming blockages to their mathematization of real-world problems. Our contribution…

We joined an initiative to engage faculty and undergraduate students in research by scheduling regular early college-level mathematics research presentations with pre- and post-lecture exercises. While our program featured six talks that were predominantly in the mathematical biosciences, the concept of creating themed topics for presentations can…

Mathematical modeling allows flexibility for a project-based experience. We share details of our regular capstone course, successful for virtually 100% of our math majors for almost two decades. Our research-like approach in this course accommodates a variety of student backgrounds and interests, and has produced some award-winning student…

This paper provides examples of Aid-to-Thought uses in urban decision making, classroom laboratory planning, and in a ship antiaircraft defense system. Aid-to-Thought modeling and simulations are tools students can use effectively in a STEM classroom while meeting Standards for Technological Literacy Benchmarks O and R. These projects prepare…

Multiple representations, multiple modalities, and technology can be helpful in the understanding of mathematical concepts when used in an appropriate manner (Shah & Freedman, 2003; Goldman, 2003), but this alone does not account for the student benefits of creating and using dynamic models over teacher generated graphs to construct…

This paper presents a study about using scientific simulations to enhance the process of mathematical modelling. The main component of the study is a lesson whose major objective is to have students mathematise a trajectory of a projected object and then apply the model to formulate other trajectories by using the properties of function…

Given the Common Core's dual emphases on mathematical modeling, there is a need to understand modeling as a practice and content standard to develop students' mathematical modeling skills. This study of 12 students from differing levels of mathematics instruction and English Language proficiency includes analysis of their modeling with mathematics…

This study examines the effect varying models have on student understanding of fractions. The study addressed the question of what students know and understand about fractional concepts through the use of discrete and continuous models. A sample of 54 students in kindergarten and 3rd grade were given an interview pretest, participated in…

Cognitive mechanisms underlying repetition priming in picture naming were decomposed in several experiments. Sets of encoding manipulations meant to selectively prime or reduce priming in object identification or word production components of picture naming were combined factorially to dissociate processes underlying priming in picture naming.…

EXPERIMENTS WERE PERFORMED TO DETERMINED HOW MENTALLY RETARDED AND NORMAL SUBJECTS SYNTHESIZE STIMULI WITH RESPONSES. ALSO, RELATIONSHIPS AMONG THE STIMULUS SYNTHESIS PROCESS, INTELLIGENCE, AND RATE OF LEARNING WERE STUDIED. DISCRIMINATION TASKS WERE USED WHICH REQUIRED SUBJECTS, NORMAL (COLLEGE, HIGH SCHOOL, AND GRADE SCHOOL ENROLLEES) AND…

By including district variables at a third level, this study extended previous two-level hierarchical linear modeling (HLM) of multivariate relationships among Texas school-level characteristics and within-school mean Scholastic Assessment Test (SAT) scores and score differentiating factors (L. L. Hargrove, M. X. Mao, and G. Barkanic, 1996;…

A reduction in agricultural activity in a rural farming community will result in reduced activity in almost every sector of the local economy. The result may be measured in loss of employment and income. This report provides a method to estimate such economic impacts with a minimum of data collection and manipulation. Most of the input data…

The report presents a computer model for forecasting occupational shortages into the near future based on occupational data reported monthly by the Texas Employment Commission for the period January 1970 to July 1975 and on job openings listed in classified want ads from September 1974 to July 1975. The report describes the methodology of the…