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The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

Paul J. Riccomini, Gregory W. Smith, Elizabeth M. Hughes, Karen M. Fries • Reading & Writing Quarterly (2015)

Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the l...

OPENALEX DOI: https://doi.org/10.1080/10573569.2015.1030995

University mathematics students' conceptions of mathematics

Kathryn Crawford, Sue Gordon, Jackie Nicholas, Michael Prosser • Studies in Higher Education (1998)

A Conceptions of Mathematics Questionnaire was developed, designed to provide an indicator of the nature of students' conceptions of the subject matter they were studying. The scales of the questionnaire were based upon a set of conceptions...

OPENALEX DOI: https://doi.org/10.1080/03075079812331380512

On proof and progress in mathematics

William P.HG Thurston • Bulletin of the American Mathematical Society (1994)

This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, "Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics".Their article raises interesting i...

OPENALEX Open Access DOI: https://doi.org/10.1090/s0273-0979-1994-00502-6

Mathematics in the streets and in schools

Terezinha Nunes Carraher, David William Carraher, Analucia Dias Schliemann • British Journal of Developmental Psychology (1985)

An analysis of everyday use of mathematics by working youngsters in commercial transactions in Recife, Brazil, revealed computational strategies different from those taught in schools. Performance on mathematical problems embedded in real‐l...

OPENALEX DOI: https://doi.org/10.1111/j.2044-835x.1985.tb00951.x

Mathematics, Matter and Method

Hilary Putnam • Cambridge University Press eBooks (1979)

Introduction 1. Truth and necessity in mathematics 2. The thesis that mathematics is logic 3. Mathematics without foundations 4. What is mathematical truth? 5. Philosophy of physics 6. An examination of Grunbaum's philosophy of geometry 7. ...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511625268

Mathematical Objectivity and Mathematical Objects

Hartry H. Field • Oxford University Press eBooks (2001)

Abstract Focuses on an issue about the objectivity of mathematics—the extent to which undecidable sentences have determinate truth‐value—and argues that this issue is more important than the issue of the existence of mathematical objects. I...

OPENALEX DOI: https://doi.org/10.1093/0199242895.003.0011

Mathematics in Population Biology

Horst R. Thieme • Princeton University Press eBooks (2003)

"The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results a...

OPENALEX DOI: https://doi.org/10.1515/9780691187655

DAF-UNet: Deformable U-Net with Atrous-Convolution Feature Pyramid for Retinal Vessel Segmentation

Yongchao Duan, Rui Yang, Ming Zhao, Mingrui Qi et al. • Mathematics (2025)

Segmentation of retinal vessels from fundus images is critical for diagnosing diseases such as diabetes and hypertension. However, the inherent challenges posed by the complex geometries of vessels and the highly imbalanced distribution of ...

DOAJ Open Access (DOAJ) DOI: 10.3390/math13091454

System 2 Thinking in OpenAI’s o1-Preview Model: Near-Perfect Performance on a Mathematics Exam

Joost C. F. de Winter, Dimitra Dodou, Yke Bauke Eisma • Computers (2024)

The processes underlying human cognition are often divided into System 1, which involves fast, intuitive thinking, and System 2, which involves slow, deliberate reasoning. Previously, large language models were criticized for lacking the de...

DOAJ Open Access (DOAJ) DOI: 10.3390/computers13110278

Chaotic outbreak in discrete epidemic model with vaccination and quarantine interventions and limited medical resources

Faizal Rifky Fahreza, Moh Hasan, Kiswara Agung Santoso • Majalah Ilmiah Matematika dan Statistika (2025)

The spread of infectious diseases can be analyzed dynamically using a discrete dynamic system. The characteristics of the infectious disease phenomenon are interesting to study as parameters considered in a dynamic system. Some of these inc...

DOAJ Open Access (DOAJ) DOI: 10.19184/mims.v25i1.53689