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  • Epistemology and Psychology of Functions

    Series series Philosophy and Religion (R0)
    Years ago, prompted by Grize, Apostel and Papert, we undertook the study of functions, but until now we did not properly understand the relations between functions and operations, and their increasing interactions at the level of 'constituted functions'. By contrast, certain recent studies on 'constitutive functions', or preoperatory functional schemes, have convinced us of the existence of a sort ... Read more

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    Series series Philosophy of Mind
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  • Calculus 2

    by BarCharts,Inc ...
    This amazingly condensed guide covers integral & differential calculus. The guide includes: definitions & interpretations, integration formulas & techniques, improper integrals, geometry & physics, differential equations, Taylor's formula, numerical integration, sequences & series of real numbers, and convergence tests and power series. ... Read more

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  • How to Think Like a Mathematician

    A Companion to Undergraduate Mathematics

    by Kevin Houston ...
    Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, ... Read more

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  • Mind

    A Brief Introduction

    Series series Fundamentals of Philosophy Series
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  • Visual Intuitionism: The Handbook of use of visual logic thinking in everyday life

    by Al Mastavich ...
    This book presents the technique of visual logic thinking. The technique consists of separate consecutive parts, which as whole become "skeleton" for information processing with following topics: mnemonic technique of memorization of events and dialogues, visual analysis of events in space and time, visualization of semantic connections and taxonomical groups of abstract essences, estimation of ... Read more

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  • How Humans Learn to Think Mathematically

    Exploring the Three Worlds of Mathematics

    by David Tall ...
    Series series Learning in Doing: Social, Cognitive and Computational Perspectives
    How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, ... Read more

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  • The Geometry of Meaning

    Semantics Based on Conceptual Spaces

    A novel cognitive theory of semantics that proposes that the meanings of words can be described in terms of geometric structures.In The Geometry of Meaning, Peter Gärdenfors proposes a theory of semantics that bridges cognitive science and linguistics and shows how theories of cognitive processes, in particular concept formation, can be exploited in a general semantic model. He argues that our ... Read more

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  • Key Ideas in Teaching Mathematics

    Research-based guidance for ages 9-19

    Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to ... Read more

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  • The Psychology of Learning Mathematics

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    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), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, ... Read more

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  • Ockham's Razors

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    by Elliott Sober ...
    Ockham's razor, the principle of parsimony, states that simpler theories are better than theories that are more complex. It has a history dating back to Aristotle and it plays an important role in current physics, biology, and psychology. The razor also gets used outside of science - in everyday life and in philosophy. This book evaluates the principle and discusses its many applications. ... Read more

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  • The Theory of Numbers (Higher Mathematics)

    The purpose of this little book is to give the reader a convenient introduction to the theory of numbers, one of the most extensive and most elegant disciplines in the whole body of mathematics. The arrangement of the material is as follows:The first five chapters are devoted to the development of those elements which are essential to any study of the subject. The sixth and last chapter is ... Read more

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