Foundations of Mathematics 11 WNCP

Foundations of Mathematics 11 WNCP
Author: Cathy Canavan-McGrath
Publisher:
Total Pages: 595
Release: 2011-05-26
Genre: Algebra
ISBN: 9780176502706

This educational resource has been developed by many writers and consultants to bring the very best of mathematics to you.

Introduction to the Foundations of Mathematics

Introduction to the Foundations of Mathematics
Author: Raymond L. Wilder
Publisher: Courier Corporation
Total Pages: 354
Release: 2013-09-26
Genre: Mathematics
ISBN: 0486276201

Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.

The Logical Foundations of Mathematics

The Logical Foundations of Mathematics
Author: William S. Hatcher
Publisher: Elsevier
Total Pages: 331
Release: 2014-05-09
Genre: Mathematics
ISBN: 1483189635

The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.

Foundations of Primary Mathematics Education

Foundations of Primary Mathematics Education
Author: Fiona Budgen
Publisher: Taylor & Francis
Total Pages: 265
Release: 2020-07-28
Genre: Education
ISBN: 1000249557

Many pre-service teachers admit to feeling unsure about the mathematics they will have to teach in primary school. Others find it difficult to know how to apply the theories of teaching and learning they study in other courses to the teaching of mathematics. This book begins by outlining some of the key considerations of effective mathematics teaching and learning. These include understanding student motivation, classroom management, overcoming maths anxiety and developing a positive learning environment. The authors also introduce the curriculum and assessment processes, and explore the use of ICT in the maths classroom. Part B outlines in a straightforward and accessible style the mathematical content knowledge required of a primary teacher. The content extends beyond the primary level to Year 9 of the Australian Curriculum as, while primary teachers may not have to teach this content, knowing it is a key part of being a strong teacher and will assist pre-service teachers to meet the requirements of the LANTITE (the Literacy and Numeracy Test for Initial Teacher Education students). Featuring graphics and worked examples and using clear and friendly language throughout, this is the essential introduction for students wishing to begin teaching primary mathematics with confidence and enthusiasm. 'The writing style is clean and uncomplicated; exactly what my maths education students need. The blend of theories, curriculum, planning, assessment and mathematical content knowledge strikes the balance that is missing in many texts.' -- Dr Geoff Hilton, University of Queensland

Foundations of Science Mathematics

Foundations of Science Mathematics
Author: Deviderjit Singh Sivia
Publisher: OUP Oxford
Total Pages: 98
Release: 1999-06-24
Genre: Mathematics
ISBN: 9780198504283

This text spans a large range of mathematics, from basic algebra to calculus and Fourier transforms. Its tutorial style bridges the gap between school and university while its conciseness provides a useful reference for the professional.

Basic Mathematics

Basic Mathematics
Author: Serge Lang
Publisher:
Total Pages: 475
Release: 1988-01
Genre: Mathematics
ISBN: 9783540967873

Mathematics for Life and Work A Comparative Perspective on Mathematics to Inform Upper Secondary Reform in England

Mathematics for Life and Work A Comparative Perspective on Mathematics to Inform Upper Secondary Reform in England
Author: OECD
Publisher: OECD Publishing
Total Pages: 208
Release: 2024-11-05
Genre:
ISBN: 9264523669

Engagement and performance in mathematics at the upper secondary level have been the concern of successive governments in England. This report was commissioned as part of the country's policy reflections for transforming how maths is viewed and experienced in England. The report explores outcomes such as the share of students studying maths and performance across countries, and how education systems internationally deliver mathematics in upper secondary. It also examines factors shaping maths education, including the expectations set by curricula, student pathways, cultural perceptions, and the needs of the labour market and higher education.

Introduction to the Foundations of Mathematics

Introduction to the Foundations of Mathematics
Author: Raymond L. Wilder
Publisher: Courier Corporation
Total Pages: 354
Release: 2012-01-01
Genre: Mathematics
ISBN: 0486488209

This classic undergraduate text by an eminent educator acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many noteworthy historical figures from the eighteenth through the mid-twentieth centuries, the book examines the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, and groups. Additional topics include the Frege-Russell thesis, intuitionism, formal systems, mathematical logic, and the cultural setting of mathematics. Students and teachers will find that this elegant treatment covers a vast amount of material in a single reasonably concise and readable volume. Each chapter concludes with a set of problems and a list of suggested readings. An extensive bibliography and helpful indexes conclude the text.