Programming and Mathematics in an Upper-Level University Problem-Solving Course

We discuss teaching and learning situations that surfaced when computer programming and mathematics were brought together in a course where students write computer code to explore mathematics problems. Combining programming and mathematics creates a rich ecosystem which, on top of traditional mathematics activities (writing solutions, proofs, etc.), offers simulation and experimentation, invites discussions about structure, requires logic and testing strategies, and handles mathematics objects with an added feeling of reality. Focusing on novice and inexperienced programmers, we look for answers to the practice-oriented question, “How do students reason through their difficulties when using programming to explore a mathematics problem?” Following literature review and methodology, we build the programming model, which we use to study students' experiences as they approach a mathematical problem by writing computer code. Our research is based on analyzing students' in-class work and class notes, author's observations of students working on their computers, and his interactions with students in class and elsewhere. In the four case studies that we present we touch upon students' difficulties in working with complex conditional statements and recurrence relations. As well, we discuss cases where resolving a programming issue demands posing and answering mathematical questions.     

The dark side of the ivory tower: campus crime as a social problem

Workers spend three-fourths of their time on the job communicating orally and in writing, but only 10 percent of all social science faculty members teach writing-intensive classes. Faculty members argue that grading is too time-consuming, class time is already full, students don't like to write and they themselves are not writing experts. This article is designed to help teachers overcome each of these problems and to reassure them that “your students can too write—and you can show them how.” As teachers, we are the standard-bearers: We can hold students to whatever standards we choose, as long as we give detailed instructions and provide illustrative examples.     

A Librarian's Suggestions on Taking Notes

Abstract

A key factor in ensuring students' academic success is to make certain that they do not feel lost or intimidated when undertaking library research assignments. Classroom faculty and librarians working in collaboration can help ease students' research anxiety by providing them with some simple pre-research tools. Included in this article are “Library Tips for Students,” and for faculty “Guidelines for Designing and Implementing Effective Library Research Assignments,” “Characteristics of Effective Assignments,” and “Pitfalls to Avoid” when designing these assignments. Students, classroom faculty, and librarians benefit when students receive a solid foundation for their research undertakings.     

Teaching with stories: Engaging students in critical self-reflection about policing and in/justice

In a course entitled “Policing and In/Justice” we elicited stories about police-citizen encounters through a narrative-based writing assignment. The assignment required students to identify competing perspectives of the story's events. Building on these perspectives, students engaged in assessment and evaluation of police decision-making. We suggest similar assignments may be relevant to courses with students anticipating or engaged in policing careers. The growing emphasis on community policing raises expectations that officers be creative problem-solvers, not just law enforcers. In addition to establishing the significance of the assignment, we explain how we accomplished it, and report on what students gained from it.     

Learning to Write: Plowing and Hoeing,Labor and Essaying

In this paper Amanda Fulford addresses the issue of student writing in the university, and explores how the increasing dominance of outcome‐driven modes of learning and assessment is changing the understanding of what it is to write, what is expected of students in their writing, and how academic writing should best be supported. The starting point is the increasing use of what are termed “technologies” of writing — “handbooks” for students that address issues of academic writing — that systematize, and smooth the work of writing in, Fulford argues, an unhelpful way. This leads to a reconsideration of what it means to write in the university, and what it is to be a student who writes. Fulford explores etymologically the concept of “writing” and suggests that it might be seen metaphorically as physical labor. Writing as physical labor is explored further through the agricultural metaphors in Henry David Thoreau's Walden and through Stanley Cavell's reading of that text. In making a distinction between writing‐as‐plowing and writing‐as‐hoeing, Fulford argues that some technologies of writing deny voice rather than facilitate it, and she concludes by offering a number of suggestions for the teaching and learning of writing in the university that emphasize the value of being lost (in one's subject and one's work) and finding one's own way out. These “lessons” are illustrated with reference to Thoreau's text Walden and to American literature and film.     

About Creativity,Giftedness, and Teaching the Creatively Gifted in the Classroom

In this case study the author explored a teacher's beliefs about creativity and gifted‐ness and investigated the classroom practices of this teacher of gifted students for 20 years. Seven semi‐structured and 2 open observations were carried out in her classroom, and 2 prefigured interviews were conducted with her. She believed that creative children are those who are “free thinkers” and have “imaginative intelligence.” The thin line between an academically gifted child and a creatively gifted child is built by “imagination,” “emotional intensity,” and “curiosity.” In creative writing, she tried to implement activities such as learning to write poetry, personal narratives, research reports and essays posing solutions to real world problems, and mystery stories decorated with similes, metaphors and imaginative expressions. In reading, students analyzed characters, problems, places and times in stories and novels, and then rewrote stories.     

Educational Expectations: How They Differ Around the World: Implications for Teaching ESL College Students

Expectations regarding teacher-student relationships, classroom interactions, testing and evaluation, and academic integrity vary widely around the world. Understanding these differences can be critical to enhancing the academic success of ESL(English as a Second Language) college students. Faculty working with ESL students often ask: “Why won't my students participate more in class?” “Why do my students only repeat back what I've said?” “Why won't they tell me what they think?” “Why don't they ever know what courses they want to take when they come to registration or advisement?” Students often ask: “Why does my professor keep asking me to talk about my personal experiences? We never had to do that in my country. Why is it such a big deal to do that here?” There are a lot of “why's” floating around the campus. This article addresses some of these questions.     

The Software Engineering Apprentice

The Software Engineering Apprentice is a model of programming instruction that focuses on “programming in the large.” We have developed a set of innovative laboratory programming exercises that can be used in a Fundamentals of Computer Science course sequence. The exercises revolve around a series of sophisticated “case studies”: complete software applications that we developed to exemplify good software engineering methods. In addition to functioning source code, the case studies include other software development artifacts: specifications, test plans, and design documents. As an alternative to the “build it from scratch then throw it away” mentality of most assignments in a first course, the Software Engineering Apprentice approach demands that students build upon large pre-existing software applications. Instead of the “language feature of the week” program assignments that are typical in these courses, the exercises we developed are modelled after tasks found in a real software development environment—testing, code comprehension, maintenance, modification, and enhancement.     

Outside the Comfort Zone of the Classroom

What comes to mind when the word learning is mentioned? Is it a classroom full of students and a teacher dictating notes as the students struggle emphatically to write down every word that is said? Is it a picture of a student in the library with a stack of books piled on a desk, trying to read them all? These examples of learning may fit the traditional definition but this paper expands learning to include service. This paper describes a non‐traditional style of learning that takes the student “out of the comfort zone of the classroom” into the community and explains how this experience has an impact on the students’ education as well as their lives. The authors of this paper hope to influence its readers to re‐think the definition of learning by understanding the importance of service.     

Writing Activities Can Improve Learning in Computer Science Courses

Those of us who teach computer science courses, especially upper division courses, face a difficult pedagogical problem. What kind of activities can we provide that will help our students progress beyond the superficial level of learning yet another collection of disjointed facts and procedures? The literature on writing strongly suggests that writing assignments can help the students master difficult concepts and develop the higher level skills that should be part of their education. Short, narrowly focused writing assignments have been used effectively to supplement a wide range of computer science courses. Holistic grading and follow‐up discussions can reduce the grading burden without sacrificing the quality of the feedback.     

Particles in a Box with One Sticky Wall: From ODE to PDE

Abstract

We present noncompetitive adsorption as “particles in a box with one sticky wall.” We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE’s solution imperfectly fits the simulation’s data. This leads to the diffusion partial differential equation. We show how to determine the diffusion constant from theory; how to determine how many terms in the Fourier series solution need to be summed; and the use of nonlinear regression. As a bonus, the physics of the model will lead us to a series representation of π.     

Working an Academically Rigorous,Multicultural Program

In 1997 the California State University Monterey Bay Master of Arts in Education program began accepting students with the explicit intent of offering an academically challenging curriculum that grounds teacher-leaders in multicultural social justice education. By 2003, the program had successfully attracted and graduated a student population that is as racially and ethnically diverse as the state of California. As eight faculty members who designed and implemented this program, writing from a position of “insider knowledge” regarding how it functioned on a day-to-day basis, we show how culturally and linguistically diverse students, many of whom have been underprepared for rigorous academic work, can attain high levels of academic excellence in a challenging and supportive context. In addition, we explore the tensions and realities of doing this work, especially in a state university context that is experiencing decreased funding that jeopardizes programs such as this one. We write so that our work is not forgotten but rather narrates what is possible.     

The World Wide Web,Computers and Teaching Literature

Abstract

Students in my on‐campus literature classes have made good use of a series of computer programs that I have created for text analysis. I offered a course via the World Wide Web that provided 14 of my programs to students throughout the world. My course taught those students how to use the programs, and as they completed the assignments, students not only learned to use software for literary analysis, but they also often gained new kinds of insights into the study of texts.     

THE COLLABORATIVE COURSE: INNOVATIVE TEACHING AND LEARNING

Advances in information technology provide an opportunity for academic librarians and professors to offer innovative collaborative courses. The purpose of collaboration between a faculty member and a professional librarian is to integrate instruction in the course subject matter with bibliographic instruction. This integration promotes learning information acquisition skills and critical thinking, as well as the use of library resources. Research skills that students need in order to use contemporary information technology are included. The integration of those skills with the subject material of the course is described.

Two applications of freshman/sophomore level courses are discussed in the paper. Course rationale, topics, and course assignments are illustrated. It is argued that students must learn modern methods of acquiring information in order to make informed independent judgments and in order to achieve understanding in any particular discipline. Providing students with the skills required to achieve access to the ever‐widening body of available information is an essential requirement of contemporary liberal education. These skills are transferable to subsequent course work and will provide the basis for life‐long learning habits. The paper presents the argument that students' achievement of “library literacy” can be promoted by effective course collaboration between faculty members and professional librarians. Benefits and problems of such collaborative courses are also discussed.     

The S‐Machine: An Alternative Approach to Teaching Assembler Programming

The demand for assembler language programmers has dropped dramatically over the past 20 years with the advent of structured programming languages and the accessibility of hardware features from high‐level languages. Nevertheless, a course in assembler language programming is often the first, and sometimes the only, introduction a student has to a machine's hardware. For this reason alone, assembler language programming courses should not be removed from a curriculum; instead, they should be kept and taught in conjunction with modern software engineering practices. This article describes an alternative approach to teaching assembler language programming. Whereas the students are still introduced to a machine and its assembler language, they are required to write several low‐level library routines they used in introductory courses (such as ACM CS1 and CS2). Furthermore, the S‐Machine's support software allows students to study the internals of an assembler, a librarian, and a linker.     

Attitudes of students towards the use of a Learning Management System (LMS) in a face-to-face learning mode of instruction

Abstract

The development and use of Information and Communication Technologies (ICTs) in education has led to most universities incorporating elements of online learning into their traditional classrooms via the use of a Learning Management System (LMS) (Burrell-Ihlow 2009, Angeli 2005, Salisbury and Ellis 2003). However, it is not known how well students who are used to traditional face-to-face learning environments and who do not necessarily prefer online environments adapt when placed in such environments. This study investigated the attitudes of students towards the use of a LMS in a traditional face-to-face classroom. The combination of the LMS and the face-to-face mode of instruction were considered as a “mixed learning mode of instruction”.

The study aimed at assessing the attitudes of students towards a mixed learning mode of instruction. The results showed a positive trend towards the acceptance of a mixed learning mode of instruction for learning. Many students involved in this mode said that it was the mixed mode of delivery that enabled them to benefit from this course, have more contact with the lecturer and were motivated to work. Most students felt that the efficiency and quality of education had improved. These results suggest that more courses should be offered using a mixed mode delivery.     

Effecting School Change: The Halton Approach

ABSTRACT

Two related but distinct questions are often asked by educators as they try to make their schools more effective. These are: “Which of the many activities that we do have greater benefits for students?” and, “How can we make our schools better than they are now?” The first question focuses specifically on the impact of schools on student outcomes and the characteristics of effective schools, whereas the second addresses the implementation of change and school improvement. This article addresses the research related to these two questions and describes the application of this research in a large school district in Ontario, Canada.     

The “None of the Above” Option in Multiple-Choice Testing: An Experimental Study

The authors assessed the effects of using “none of the above” as an option in a 40-item, general-knowledge multiple-choice test administered to undergraduate students. Examinees who selected “none of the above” were given an incentive to write the correct answer to the question posed. Using “none of the above” as the keyed option made items much more difficult (d = ?1.11). Furthermore, 45% of the time that examinees correctly selected “none of the above,” they wrote either a wrong answer (19%) or no answer (26%), and rescoring items to deny credit in these cases caused item discrimination to fall (d = ?0.35). Thus, when “none of the above” is the keyed option, credit earned by examinees with knowledge deficiencies can make items appear to have more discriminatory power than is actually the case. The authors recommend that “none of the above” should not be used as an option in multiple-choice items.