D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 41 Citations 19,203 126 World Ranking 1241 National Ranking 570

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2006 - US President's National Medal of Science "For his fundamental contributions to pure mathematics, especially in the creation of algebraic K-theory, his profound influence on mathematics education, and his service to the mathematics research and education communities.", Awarded by President George W. Bush in a White House ceremony on July 27, 2007.

2001 - Fellow, The World Academy of Sciences

1982 - Member of the National Academy of Sciences

1981 - Fellow of the American Academy of Arts and Sciences

1981 - Fellow of the American Association for the Advancement of Science (AAAS)

1975 - Frank Nelson Cole Prize in Algebra

1968 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Pure mathematics
  • Complex number

His main research concerns Pure mathematics, Combinatorics, Topology, Mathematics education and Pedagogy. His work on Gorenstein ring expands to the thematically related Pure mathematics. His Combinatorics study combines topics from a wide range of disciplines, such as Group theory, Polynomial, Group and Extension.

His research integrates issues of Ring, Global field, Algebraic number field and Milnor K-theory in his study of Topology. His work deals with themes such as Curriculum development and Faculty development, which intersect with Mathematics education. His study on Learning to teach, Core-Plus Mathematics Project and Connected Mathematics is often connected to Permission as part of broader study in Pedagogy.

His most cited work include:

  • Algebraic K-theory (1855 citations)
  • Finitistic dimension and a homological generalization of semi-primary rings (844 citations)
  • On the ubiquity of Gorenstein rings (758 citations)

What are the main themes of his work throughout his whole career to date?

Hyman Bass mainly investigates Pure mathematics, Combinatorics, Mathematics education, Algebra and Discrete mathematics. His biological study spans a wide range of topics, including Algebraic cycle, Algebraic number and Topology. The Combinatorics study which covers Type that intersects with Conjecture.

His Mathematics education research is multidisciplinary, incorporating perspectives in Pedagogy and Professional development. His study in the field of Invertible matrix, Algebraic K-theory and Dimension of an algebraic variety also crosses realms of Algebraic extension. His Discrete mathematics study often links to related topics such as Torsion.

He most often published in these fields:

  • Pure mathematics (32.85%)
  • Combinatorics (23.36%)
  • Mathematics education (17.52%)

What were the highlights of his more recent work (between 2004-2018)?

  • Mathematics education (17.52%)
  • Pedagogy (8.76%)
  • Connected Mathematics (3.65%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Mathematics education, Pedagogy, Connected Mathematics, Poisson distribution and Philosophy of mathematics education. His Mathematics education research includes elements of Professional development and Curriculum development. Hyman Bass has included themes like Elementary mathematics and Faculty development in his Curriculum development study.

His work in the fields of Pedagogy, such as Mathematics instruction and Social studies, intersects with other areas such as Political science and Teacher quality. His study in Philosophy of mathematics education is interdisciplinary in nature, drawing from both Math wars and Everyday Mathematics. Hyman Bass regularly links together related areas like Pure mathematics in his Algebra studies.

Between 2004 and 2018, his most popular works were:

  • Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide? (626 citations)
  • Combining the Development of Practice and the Practice of Development in Teacher Education. (324 citations)
  • Mathematics, mathematicians, and mathematics education (96 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Complex number
  • Pure mathematics

His primary areas of investigation include Mathematics education, Pedagogy, Connected Mathematics, Core-Plus Mathematics Project and Teaching method. His work carried out in the field of Mathematics education brings together such families of science as Professional development and Curriculum development. Hyman Bass integrates many fields, such as Pedagogy and Teacher quality, in his works.

His research in the fields of Reform mathematics overlaps with other disciplines such as Process, Chart and Open university. His studies in Core-Plus Mathematics Project integrate themes in fields like Connection and Philosophy of mathematics education. His work on Mathematics instruction as part of general Teaching method study is frequently connected to Lead, Qualitative research and Publishing, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Algebraic K-theory

Hyman Bass.
(1968)

3094 Citations

Algebraic K-theory

Hyman Bass.
(1968)

3094 Citations

Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide?

Deborah Loewenberg Ball;Heather C. Hill;Hyman Bass.
(2005)

1986 Citations

Knowing Mathematics for Teaching Who Knows Mathematics Well Enough To Teach Third Grade, and How Can We Decide?

Deborah Loewenberg Ball;Heather C. Hill;Hyman Bass.
(2005)

1986 Citations

Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics.

DL Ball;H Bass;J In;CT Westport.
(2000)

1640 Citations

Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics.

DL Ball;H Bass;J In;CT Westport.
(2000)

1640 Citations

Finitistic dimension and a homological generalization of semi-primary rings

Hyman Bass.
Transactions of the American Mathematical Society (1960)

1373 Citations

Finitistic dimension and a homological generalization of semi-primary rings

Hyman Bass.
Transactions of the American Mathematical Society (1960)

1373 Citations

On the ubiquity of Gorenstein rings

Hyman Bass.
Mathematische Zeitschrift (1963)

1218 Citations

On the ubiquity of Gorenstein rings

Hyman Bass.
Mathematische Zeitschrift (1963)

1218 Citations

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