Academic Articles & Research Papers

Frege: philosophy of mathematics

No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial Frege: Philosophy of Language is a sustained, systematic analysis of Frege's thought, omitting only the issues in...

The Psychology of Learning Mathematics

This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese),...

Mathematical structures of language

This book attempts to show how one can arrive at an abstract system which characterizes precisely natural language. This is done by taking the data of language and finding within the data such relations as can be organized into a suitable m...

The Sociology of Mathematics Education: Mathematical Myths / Pedagogic Texts

Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically...

The Emergence of Mathematical Meaning

Contents: Preface. P. Cobb, H. Bauersfeld, Introduction: The Coordination of Psychological and Sociological Perspectives in Mathematics Education. P. Cobb, E. Yackel, T. Wood, The Teaching Experiment Classroom. P. Cobb, Mathematical Learnin...

The Language of Mathematics

Power-aware scheduling of data-flow hardware circuits with symbolic control

We devise a tool-supported framework for achieving power-efficiency of data-flowhardware circuits. Our approach relies on formal control techniques, where the goal is to compute a strategy that can be used to drive a given model so that it ...

Further Results on a Curious Arithmetic Function

Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively. In this paper, we introduce an...

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

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...

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

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...

Mathematical Capabilities of ChatGPT

We investigate the mathematical capabilities of two iterations of ChatGPT (released 9-January-2023 and 30-January-2023) and of GPT-4 by testing them on publicly available datasets, as well as hand-crafted ones, using a novel methodology. In...

Mathematics and the Body

This book explores alternative ways to consider the relationship between mathematics and the material world. Drawing on the philosophy of Gilles Châtelet and the post-humanist materialism of Karen Barad, the authors present an 'inclusive ma...

The Mathematical Brain

The concept of numbers and the ability to recognize and process them is innate, part of everyone's intellectual apparatus whether they've had formal education or not. This instinct is not dependent on basic intelligence or general knowledge...

Education of staff in preschool aged classrooms in child care centers and child outcomes: A meta-analysis and systematic review.

Staff education is considered key to quality of early childhood education and care (ECEC) programs. However, findings about associations between staff education and children's outcomes have been inconsistent. We conducted a systematic revie...

An Agent Cascade for Explainable Relevance Assessment of Procurement Procedures in the Tenders Electronic Daily Environment

This paper considers the task of assessing the relevance of a procurement procedure for a supplier under conditions of growing volumes of open procurement data and increasing complexity of electronic publication services. It is shown that, ...

Speaking Mathematically: Communication in Mathematics Classrooms

1. Mathematics as a Language? 2. Pupils' Mathematical Talk 3. Overt and Covert Classroom Communication 4. The Mathematics Register 5. Pupils' Written Mathematical Records 6. Some Features of the Mathematical Writing System 7. The Syntax of ...

Does English proficiency matter? Testing its moderating role in the TAM for AI-enhanced MOOC adoption in vocational education

This study investigates whether English proficiency moderates core Technology Acceptance Model (TAM) pathways in the context of AI-enhanced English MOOCs for vocational students. Drawing on an extended TAM that links Perceived Ease of Use (...

Translational research in health technologies: A scoping review

Introduction: The current debate on the process of technological innovation points out as a challenge for universities consolidation of competencies that allow the generation and transfer of knowledge to society. The Translational Research ...

Health technology assessment in Finland

Since the 1990s, health policy makers in Finland have been supportive of evidence-based medicine and approaches to implement its results. The Finnish Office for Health Technology Assessment (Finohta) has grown from a small start in 1995 to ...

HEALTH TECHNOLOGY REASSESSMENT: THE ART OF THE POSSIBLE

BACKGROUND: Health technology reassessment (HTR) is "a structured, evidence-based assessment of the clinical, social, ethical, and economic effects of a technology currently used in the healthcare system, to inform optimal use of that techn...