Resources for Research in Mathematics Education
This research guide is intended as an overview of of library resources and services of particular relevance for students in the Mathematics Education program and specifically for those in Professor Alexander Karp’s Fall 2015 course MSTM 6037, Professional Seminar in Mathematics Education. The resources, primarily electronic and accessible on and off campus, have been selected as ones supporting research in the topical areas the courses in the program encompass. This blog post also includes a library services and publications section describing research consultation/assistance and document delivery/retrieval options available to all members of the Teachers College community.
Library Services and Publications
All students, faculty, and researchers also have access to a number of important library services and publications provided to support and facilitate research and study in their particular programs and disciplines.
Library of Congress Subject Headings (LCSH) are the official subject terms prescribed by the Library of Congress for the cataloging of books and are in use in essentially all academic libraries. To find works pertaining to subjects relating to mathematics education, science education, communications, computing, and technology in education, and related subjects, it may be useful to use some of the subject terms, or combinations of terms, listed below when searching the online catalogs of libraries at Teachers College, Columbia University, and other institutions.
- Mathematics — Study and teaching
- Game theory
- Logic, Symbolic and mathematical
EDUCAT – The most definitive record of the holdings of the Gottesman Libraries at Teachers College, including books, e-books, journals, e-journals, dissertations, media, and other specialized collections of all kinds.
- See our library’s video tutorial on searching EDUCAT.
CLIO – The union catalog of Columbia University Libraries (exclusive of the libraries of Teachers College, the Columbia Law School, and Jewish Theological Seminary), providing the most definitive record of individual libraries’ holdings of books, e-books, journals, e-journals, dissertations, media, and other specialized collections of all kinds.
WorldCat – The union catalog of the contents of over 10,000 libraries worldwide, providing the means to do exhaustive searching by author, title, subject, and numerous other criteria and to find locations for specific items in libraries nearby and elsewhere.
- See our library’s video tutorial on searching WorldCat.
Academic Search Premier – A multidisciplinary database providing full text for more than 4,600 journals, including nearly 3,900 peer-reviewed titles. PDF backfiles to 1975 or further are available for well over one hundred journals. See also Academic Search Complete, a scholarly, multidisciplinary full-text database, with more than 8,500 full-text periodicals, including more than 7,300 peer-reviewed journals. The database features PDF content going back as far as 1887.
Applied Science Full Text – Indexes international English-language periodicals in the applied sciences and technology. Areas covered include engineering, chemistry, mathematics, physics, computer technology, and energy-related disciplines.
Education Full Text – Provides comprehensive coverage of an international range of English-language periodicals, monographs, and yearbooks. Indexing coverage begins June 1983; abstracts are included beginning spring 1994; full text of some journals is available beginning in January 1996.
Education Index Retro – Provides cover-to-cover indexing for an international range of English-language periodicals and yearbooks; coverage from 1929 through mid-1983.
Education Research Complete – Provides indexing and abstracts for more than 2,100 journals, as well as full text for more than 1,200 journals, and includes full text for nearly 500 books and monographs.
ERIC – Sponsored by the U.S. Department of Education to provide extensive access to educational-related periodical literature, ERIC (which stands for Educational Resources Information Center) provides coverage of conferences, meetings, government documents, theses, dissertations, reports, audiovisual media, bibliographies, directories, books, and monographs. In addition to this version, made available via the ProQuest platform, ERIC is also accessible via the U.S. government ERIC site and through Ebsco ERIC.
MathSciNet – Provides citations, abstracts, and review texts of research literature in mathematics fields, including algebra, geometry, calculus, number theory, numerical analysis, and topology.
Professional Development Collection – Designed for professional educators, this database provides a highly specialized collection of nearly 520 high-quality education journals, including more than 350 peer-reviewed titles. The database also contains more than 200 educational reports.
ProQuest – Provides broad multidisciplinary coverage of scholarly journals, newspapers, dissertations, and other types of publications; for international coverage and access to full texts of dissertations only, search Digital Dissertations, a subset of ProQuest.
Quicksearch (via Columbia University Libraries) – To search the catalog, multiple periodical indexes, and other web resources simultaneously within a variety of subjects and disciplinary subcategories.
Super Search (via Gottesman Libraries) – To search some or all of our periodical indexes, plus EDUCAT and CLIO, simultaneously for books, journal articles, reports, dissertations, etc.
Google Scholar – Provides the means to search for scholarly research across many disciplines and sources: articles, theses, books, abstracts and court opinions, from academic publishers, professional societies, online repositories, universities, and other web sites.
- See our library’s Google Scholar video tutorial.
Encyclopaedia of Mathematics – A comprehensive online English-language graduate-level reference work in the field of mathematics, comprising more than 8,000 entries and illuminating nearly 50,000 notions in mathematics.
Encyclopedia of Education (2nd Edition) – The 2003 version of the classic resource in education and related fields.
Encyclopedia of Mathematics Education – This 2014 resource covers all aspects of mathematics education through 500+ articles, from short descriptions to in-depth pieces; intended to guide readers through the range of methodologies, perspectives, foci, and cultures of mathematics education.
Encyclopedia of Statistical Sciences – Covers statistics, probability theory, biostatistics, quality control, and economics, with emphasis on applications of statistical methods in sociology, engineering, computer science, biomedicine, psychology, survey methodology, and other disciplines.
AMS Books Online – E-books published by the American Mathematical Society in the fields of algebra and algebraic geometry, analysis, applications, differential equations, general interest, geometry and topology, logic and foundations, mathematical physics, number theory, and probability.
JSTOR – An online archive of over 1,200 leading scholarly journals across the humanities, social sciences, and sciences, as well as select monographs and other materials valuable for academic work. Journals are always included from volume 1, issue 1 and include previous and related titles.
SAGE Education Full-Text Collection – A subset of Sage Journals Online, this database provides access to and advanced searching of the full text of 36 education-related journals.
Handbook of International Research in Mathematics Education (1st ed., 2002)
Second Handbook of Research on Mathematics Teaching and Learning (2007) [see also e-version below]
Handbook of Research Design in Mathematics and Science Education – Offers 32 chapters in seven sections: the need to address priority problems; reflecting on instruments and methods; teaching experiments; classroom-based research; clinical methods; curriculum design as research; and toward assessment design. Chapters cover topics such as standards-based reform, transformative teaching, and technology design.
Handbook on the History of Mathematics Education – This 2014 work presents the history of teaching and learning mathematics over the various epochs and civilizations, cultures, and countries, and aims to reflect the current state of the history of mathematics education, to make more accessible the results of existing research, and to facilitate the further development of this field, drawing attention to what has not yet been studied.
Second Handbook of Research on Mathematics Teaching and Learning – Like its predecessor a project of the National Council of Teachers of Mathematics, this 2007 work is comprised of 31 chapters within six parts: Foundations; Teachers and Teaching; Influences on Student Outcomes; Students and Learning; Assessment; and Issues and Perspectives.
Third International Handbook of Mathematics Education – The 3rd (2012) edition is comprised of four sections dealing with social, political, and cultural dimensions in mathematics education; mathematics education as a field of study; technology in the mathematics curriculum; and international perspectives on mathematics education.
Review of Educational Research – A publication of the American Educational Research Association (AERA), the RER publishes quarterly critical, integrative reviews of research literature bearing on education, including conceptualizations, interpretations, and syntheses of scholarly work.
Review of Research in Education – A publication of the American Educational Research Association (AERA), the RRE provides an annual overview and descriptive analysis of selected topics of relevant research literature through critical and synthesizing essays.
Scopus – Abstract and citation database of peer-reviewed literature and quality web sources with smart tools to track, analyze, and visualize research.
- See a video tutorial from Columbia University Libraries at Using Citation Analysis Tools in Scopus.
Web of Science – Comprising the Arts & Humanities Citation Index, the Social Sciences Citation Index, and the Science Citation Index Expanded, this database supports searching by topic, author, or publication name, and is also a major means for doing cited reference searching, to find articles that cite a person’s work.
- See a video tutorial from Columbia University Libraries at Using Citation Analysis Tools in Web of Science.
- See also our library’s Citation Indexes video tutorial on citation searching via the Web of Science and Google Scholar.
Health and Psychosocial Instruments (HAPI) – Information on approximately 15,000 measurement instruments (i.e. questionnaires, interview schedules, checklists, coding schemes, rating scales, etc.) in the fields of health and psychosocial sciences.
Mental Measurements Yearbook (Ovid) – Produced by the Buros Institute, this database contains extensive information about and reviews of English-language, commercially available, standardized tests covering educational skills, personality, vocational aptitude, psychology, and related areas, as included in the printed Mental Measurements Yearbooks.
For further information on access to actual tests, measurements, instruments, scales, etc., see our Knowledge Database entry at http://library.tc.columbia.edu/kb/idx.php/0/196/article/.
Academic Commons – Columbia University’s online repository, where current faculty, students, and staff can deposit the results of their scholarly work and research.
arXiv – Provides open access to 784,901 e-prints in Physics, Mathematics, Computer Science, Quantitative Biology, Quantitative Finance and Statistics
Internet Archive – A non-profit digital library offering free universal access to books, movies, and music, as well as 150 billion archived web pages.
PocketKnowledge – The social archive of Teachers College, including unpublished manuscripts and archives from the library’s collections, documents from other departments and administrative offices College-wide, and the work of TC students, faculty, and researchers.
Citation Management Software – An extensive description of and guide to the use of BibDesk, EndNote, Papers, Mendeley, and Zotero, including a comparison of their relative merits, produced by the Columbia University Libraries’ Digital Science Center.
Library Services and Publications
Ask a Librarian a Question – To explore a variety of kinds of research support: submit an email reference query to librarians onsite; request a research consultation with a Gottesman librarian; review frequently asked questions via the library’s Knowledge Database.
E-Reserves – Provides online access to digital course readings, including e-journal articles and book chapters, as well as call numbers for physical course reserves materials (books, DVDs, videos, etc.).
Document Delivery – The means to recommend items for purchase and/or to request from other libraries materials (dissertations, book chapters, journal articles, etc.) not available through the Gottesman or Columbia University Libraries.
Learning at the Library – The Gottesman Libraries’ blog via the Pressible platform, including content in many topical areas contributed by library staff members.