Crossroads in Mathematics

Crossroads in Mathematics

Author: Standards for Introductory College Mathematics Project (U.S.)

Publisher:

Published: 1995

Total Pages: 108

ISBN-13:

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Intended to improve mathematics education at two-year colleges and other institutions offering lower division courses as well as to encourage more students to study mathematics, this publication presents the American Mathematical Association of Two-Year Colleges' (AMATYC's) standards for revitalizing the pre-calculus mathematics curriculum and stimulating changes in instructional methods. Following introductory sections, chapter 1 describes the goals and basic principles underlying the document, while chapter 2 presents standards for introductory college mathematics including seven standards related to intellectual development, seven related to curriculum content, and five related to pedagogy. This chapter also provides charts of guidelines for achieving the standards. Chapter 3 addresses issues of content and pedagogy related to the interpretation of the standards in the areas of mathematics foundation-building courses, technical programs, mathematics-intensive programs, liberal arts programs, and programs for prospective teachers. Chapter 4 reviews implications of the standards for faculty development and other departmental considerations; advising and placement; laboratory and learning center facilities; the use of technology; assessment of student outcomes; program evaluation; and articulation with high schools, other colleges and universities, and employers. Finally, chapter 5 covers implementation, including institutional recommendations, the role of professional organizations, proposed regional workshops, and the development of materials, while chapter 6 provides concluding remarks. (Contains 78 references.) (Sample math problems based on the standards are appended.) (KP)


Iris Runge

Iris Runge

Author: Renate Tobies

Publisher: Springer Science & Business Media

Published: 2012-01-05

Total Pages: 481

ISBN-13: 303480251X

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This book concerns the origins of mathematical problem solving at the internationally active Osram and Telefunken Corporations during the golden years of broadcasting and electron tube research. The woman scientist Iris Runge, who received an interdisciplinary education at the University of Göttingen, was long employed as the sole mathematical authority at these companies in Berlin. It will be shown how mathematical connections were made between statistics and quality control, and between physical-chemical models and the actual problems of mass production. The organization of industrial laboratories, the relationship between theoretical and experimental work, and the role of mathematicians in these settings will also be explained. By investigating the social, economic, and political conditions that unfolded from the time of the German Empire until the end of the Second World War, the book hopes to build a bridge between specialized fields – mathematics and engineering – and the general culture of a particular era. It hopes, furthermore, to build a bridge between the history of science and industry, on the one hand, and the fields of Gender and Women’s Studies on the other. Finally, by examining the life and work of numerous industrial researchers, insight will be offered into the conditions that enabled a woman to achieve a prominent professional position during a time when women were typically excluded from the scientific workforce.


Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning

Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning

Author: Wendy M. Smith

Publisher: American Mathematical Soc.

Published: 2021-05-05

Total Pages: 348

ISBN-13: 1470463776

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The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?


Crossroads in the History of Mathematics and Mathematics Education

Crossroads in the History of Mathematics and Mathematics Education

Author: Bharath Sriraman

Publisher: IAP

Published: 2012-07-01

Total Pages: 380

ISBN-13: 1617357065

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The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.


Beyond Crossroads

Beyond Crossroads

Author: Standards for Introductory College Mathematics Project (U.S.). Beyond Crossroads Writing Team

Publisher:

Published: 2006

Total Pages: 88

ISBN-13: 9780964389021

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International Perspectives on Social Justice in Mathematics Education

International Perspectives on Social Justice in Mathematics Education

Author: Bharath Sriraman

Publisher: IAP

Published: 2007-12-01

Total Pages: 260

ISBN-13: 160752614X

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International Perspectives and Research on Social Justice in Mathematics Education is the highly acclaimed inaugural monograph of The Montana Mathematics Enthusiast now available through IAP. The book covers prescient social, political and ethical issues for the domain of education in general and mathematics education in particular from the perspectives of critical theory, feminist theory and social justice research. The major themes in the book are (1) relevant mathematics, teaching and learning practices for minority and marginalized students in Australia, Brazil, South Africa, Israel, Palestine, and the United States., (2) closing the achievement gap in the U.K, U.S and Iceland across classes, ethnicities and gender, and (3) the political dimensions of mathematics. The fourteen chapters are written by leading researchers in the international community interested and active in research issues of equity and social justice.