Frequency norms and structural analysis of algebra story problems into families,categories, and templates

The goal of this study was to develop a framework for classifying algebra story problems and to determine observed frequencies for each problem type. A total of 1097 algebra story problems were selected from ten standard algebra textbooks. These are divided into eight families based on the nature of the source formula involved; for example, nearly 300 problems were classified in the time rate family because they were based on the source formula, distance = rate x time or output = rate x time. Each family was divided into problem categories based on the general form of the story line; for example, the time rate family consisted of motion, current, and work categories. Each category was divided into templates based on the specific propositional structure of the problem; for example, there were a dozen templates for motion problems such as overtake, closure, round trip, etc. This article describes the procedure for generating families, categories, and templates and provides frequency counts for each observed template. Implications for fostering productive research and instruction are discussed.This research was supported by grant NIE-G-78-0162 from the National Institute of Education. Requests for reprints should be sent to: Richard E. Mayer, Department of Psychology, University of California, Santa Barbara, CA 93106.     

Education of the refugee in the United States

Conclusion This historical survey of the educational goals developed on behalf of the immigrant and refugee in America indicates that there has been a complete cycle. The first systematic educational efforts, as we have shown, were aimed at teaching the immigrant the English language so that he would be useful for his tasks in American industry. Then came the period which extended this educational goal by offering instruction in several aspects of acculturation (officially, assimilation, but a concept which has never been put into effect in the history of America's minorities). The post-war period saw the stress on the academic level on the cultural democracy concept; but this ideal has been more academic than practical, and World War II saw no definite evidences of the popular interest in any Americanization program. The recent waves of refugees, bringing in more or less well-educatedindividuals, saw a revival of educational efforts on their behalf; but they differ from the former endeavors in their emphasis on individual education and on instruction in English. The social aspects of acculturation — featuring, in general, the period between World War I and II — have been entirely ignored 1).     

Higher educational impact on student objectives: Longitudinal change in Clark-Trow “educational philosophies”

This study explores the impact of higher education on 3,942 arts and sciences students as measured by change in their freshman and senior ratings of four Clark-Trow educational philosophies: vocational, academic, collegiate, and nonconformist (Clark and Trow, 1966). A repeated measures analysis of variance was applied to each of the four philosophies, controlling for sex, entering year, major, parents' educational background, scholastic aptitude, and academic motivation. As expected from Clark-Trow theory, students showed significant increases in academic and nonconformist philosophies, and decreases in vocational and collegiate philosophies. Relationships between independent variables and freshman-senior change suggested post hoc reinterpretation of the dimensions underlying the Clark-Trow phenotypes: i.e., from identification with the college and involvement with ideas to social interests and academic interests (the latter suggested by Terenzini and Pascarella, 1977).     

Choosing competency-based,humanistic and self-directed programs: The contribution of personality and reasoning

Fifty-five college women enrolled in competency-based, humanistic or self-directed education programs completed their California Personality Inventory and listed five reasons for selecting their program. CPI results indicated that self-directed students scored lower than other students on the Femininity Scale (p.001). Using Chickering's seven vectors of change as a framework, the study found competency-based students identifying purpose and competence, humanistic students identifying inter-personal relationships and integrity, and self-directed student identifying autonomy and purpose as reasons for enrolling in their nontraditional programs. The study used these results to question the mythology that adherents to different programs are of different personality types and to argue that differences in perceptions of purpose in education distinguish students in the three programs.     

“Anything goes”⋯ connecting children to literature: A personal view

In a recent article in the weekly Times Educational Supplement,Roger Knight attacked some of the various kits and packages which are currently on offer to support teachers and children in preparing for examinations in English literature. Compilers are accused of trivializing the study of literature and distracting teachers and children away from a proper concern with the language of the novel or poem. Some aspects of the compilations are seen by Knight as being akin to party games from a Christmas cracker, and in becoming involved, the teacher for whom literature matters as literature is likely to feel superannuated, disregarded and excluded from the party. Such compilations numb the texts and numb the understanding, Knight continues, and the mentality they so fully express derives partly from the erroneous and fashionable belief that any response to a work of literature is valuable. In this paper, Michael O'Hara offers a personal view on literature teaching in British schools and takes issue with Knight's view that certain approaches to the teaching of literature can be ruled out a priori. He suggests that in the right hands all kinds of approaches are possible. In short, in the teaching of literature, and as long as imagination and judgment prevail, anything goes!Michael O'Hara is a Lecturer in Education at the University of Ulster, Northern Ireland. He has taught in a College of Education in the Republic of Ireland, in a Belfast secondary school, and briefly in Nigeria.     

Generated meanings in the comprehension of word problems in mathematics

A Generative-Predicational Model is proposed and applied to the generation of meanings of simple mathematical word-problems. The model suggests that a fundamental property of cognition is a generative process that takes arguments and that produces results, such as events, answers and inferences. This fundamental property, called predication, generates a task-environment i.e., a problem and its corresponding problem-space i.e., its solution. More precisely, a task-environment is a predication consisting of a written mathematical problem and a writer's life experience. A problem-space is a predication consisting of a leamer's problem solving schema and of the meaning that the learmer generates for the text.The case with which relations can be established between a task-environment and a problem-space depends on the problem's coherence and complexity and the leamer's experiences and thought processes. Faceted definitions of task-environment and problem-space are used to analyze talk-aloud protocols of fifty Israeli sixth-graders tested with thirty word-problems. The empirical results support the proposed model.     

Science, Society, and Technology—Three Cultures and Multiple Visions

The article reviews the strikingly divergent viewpoints of intellectuals—scientists and non-scientists—about Science and Technology. It shows that while scientists implicitly accept the difference between Science and Technology, to non-scientists that difference is irrelevant. The most important differences between Science and Technology that lie in their relative scales, outputs and accuracy of predictions are highlighted. The complexity of and difficulty in trying to quantify the contribution of science and technology to economic growth are discussed. Views of science and technology that include their societal perceptions are recommended.     

A Textbook Case of the Nature of Science: Laws and Theories in the Science of Biology

The two concepts law and theory are among the most important elements of the nature of science. They represent both the tools and products of science itself. Unfortunately, the variable meanings and use of these terms in general discourse and in other school disciplines results in much confusion with respect to their proper application in a science context. The project included the design of a six-part model definition for law and theory based on a review of the literature of the philosophy of science with special reference to biology. These model definitions were then compared with those provided in a range of U.S. secondary school biology textbooks. The majority of all current major U.S. secondary school biology texts were reviewed and analyzed with respect to how the concepts of law and theory were defined and applied, in an attempt to determine whether students and teachers using such texts would gain an accurate impression of these terms and the distinction between them. This study focuses on biology instruction since a life science course is completed as a graduation requirement by virtually all U.S. high school students and as such serves as a widely shared educational experience across the nation. The term law is rarely defined in any text but various laws such as those found in genetics are frequently included as examples. The term theory is frequently defined but with a wide range of completeness of the definitions. Only rarely are theories in biology included as examples.     

Three-dimensional art and sculpture

I am making it BIG (Evan). A secret slide with gold in there (Sydni). Look even a little car could fit in it (Joshua). This is a circle! Round, a tiger jumps through this hoop (Emily). Excitement runs high when children experiment with three-dimensional art projects using paper, boxes and styrofoam.Liz Seelhoff Byrum teaches four- and five-year-olds at a private school in New York City.     

“Orientation” in Spanish universities

In the present period of change, the Spanish systems of secondary and higher education, too, are confronted with new challenges. People have realized that factors within and outside universities demand the development of effective helping services for students, particularly on the level of orientation. Two different models are described, one that relies on tutors, mainly; the other one employs orientation professionals. The article also describes the skills and the training experiences that are necessary for professionals in orientation services.Facultat de Psicologia i Pedagogia, Universitat Roman Llull     

Excellence and choice: Friends or foes?

This paper explores the contrasts dividing the excellence and choice movements to date. The orientations of both are examined, along with key features and impacts of each. Particular attention is given the predicament and the challenge of at risk youngsters. Yet there are developments suggesting a growing mutuality between the two movements. The elaboration of a conception of Excellence that makes educational sense reveals the centrality of motivation to educational accomplishment. This in turn exposes the choice principle as an important aid to the pursuit of excellence.     

Classroom control: Some cybernetic comments on the possible and the impossible

The application of basic cybernetic laws and information processing principles to the classroom situation suggests that traditional and modern teaching methods, regarded as control systems, are equivalent in terms of efficiency. As control structures, they embody different principles and are not decomposable. Examination of these principles reveals that the two methods are radically incompatible, in the sense that techniques developed in the one cannot be transferred to the other without dislocation of the system as a whole. Attempts to modernize the traditional method, or to formalize the modern method are ill-conceived. Such mixed methods violate basic laws of information and control, and cannot work. It is suggested that many of the problems underlying the Great Education Debate are a consequence of the impossible state of affairs created by the widespread introduction of mixed methods.     

Reply to Bereiter's statement on Kohlberg's cognitive-developmental view

Bereiter's claim that the cognitive-developmental distinction between Type I structural reorganization and Type II content learning is a category error is based on his misunderstanding of the distinction. Bereiter misinterprets the distinction as one between the natural and invevitable and the taught. Some ways in which the distinction (and the existence of Type I change) may serve as a positive focus of early education are clarified.

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Résumé L'affirmation de Bereiter que la distinction cognitive-développementale entre la réorganisation structurale du Type I et l'acquisition des connaissances du Type II est une erreur de catégorie, s'explique par le fait qu'il a mal compris la distinction. Bereiter l'a mal interprétée comme une distinction entre ce qui est natural et inévitable et ce qui est enseigné. dans cet article, on explique comment cette distinction (et l'existence du changement du Type I) peut servir comme centre de'intérêt positif de l'éducation préscolaire.

     

The correlation between education and earnings - a comment

In this note, Blaug's article in Volume 1, No. 1, is criticised on the grounds that the economic interpretation of the correlation between education and earnings is based on a mistaken view about the nature of capital; and hence human capital theories are logically incoherent.     

A map of postsecondary assessment

Although most discussions of postsecondary assessment focus on students' knowledge and skills, these cannot be fully understood without assessing the wasy they are influenced by other aspects of postsecondary education. These aspects are described in a map consisting of 20 points which depicts the flow of students through institutions and experiences from precollege to adulthood. Consideration of the map identifies areas where better assessments and models are needed, particularly the areas of adult learners, graduate and professional education, and the characteristics and plans of college seniors.     

Orson Scott Card’s Ender and Bean: The Exceptional Child as Hero

Orson Scott Cards school stories in outer space, Enders Game and Enders Shadow, purportedly occur at the same time and tell the same story, but from the perspectives of two different child protagonists. Scenes in Enders Shadow even reproduce text from Enders Game. Nevertheless, 14 years elapsed between the publications of the two books. This essay brings child studies and exceptionality research to bear on the two novels, analyzing the development of Cards ideology regarding his view of the exceptional child and his view of the nature of heroism in a post-modern world.     

“It's Easier to Be Yourself When You Are Invisible”: Female College Students Discuss Their Online Classroom Experiences

There has been considerable scholarly interest in issues related to gender in the classroom, especially in terms of finding ways in which classrooms might be configured to be more welcoming--and less chilly--to female students. There is some evidence to suggest that the online learning environment may provide educators with opportunities to achieve a more female-friendly classroom, and this study was designed to gather information about that question. 125 female college students who had completed at least one online, college-level class were invited to discuss their experiences learning online. These data show that female college students respond to the online environment in a variety of ways. A small group of students indicated that they did not enjoy learning online, while others expressed mixed feelings. The majority, however, had positive things to say about their online classroom experiences; and of these, a large number identified anonymity as the most important positive aspect of the online learning environment.     

Critical thinking and the Spock Fallacy

Conventional instruction in critical thinking technique tends to conflate logical thinking with rational or good thinking. But in doing so, it ignores the creative and intuitive functions of rationality, thereby encouraging a mechanically rote approach to textual analysis, problem solving and problem construction. This overemphasis upon straightforwardly logical calculus of justification functions, and its concomitant deemphasis of intuitive pattern of discovery ones, constitute the Spock Fallacy. Its epistemological weakness and pedagogical hazards are explored.The author of two books and numerous articles, one of his specialties is philosophy of education and critical thinking.     

Early childhood family education

If they came with instructions, then you wouldn't need us reads the poster on the classroom door. It is a pleasant morning in early September and my twelve-month-old daughter, Laura, and I are going to our first day of school. Laura and I enter the infant and toddler room with anticipation.Barb Rose is a free lance writer living in St. Paul, MN, and the mother of a 2-year-old named Laura.