Conceptual Mathematics A First Introduction to Categories In the last years, the use of the notion of category has led to a remarkable unification and simplification of mathematics Conceptual Mathematics, Second Edition, introduces the concept of category for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. Mathematics for Elementary Teachers A Conceptual Approach Fulfillment by FBA is a service we offer sellers that lets them store their products in s fulfillment centers, and we directly pack, ship, and provide customer service for these products. Conceptual Understanding ASCD Concept Rich Mathematics Instruction by Meir Ben Hur Table of Contents Chapter Conceptual Understanding Strolling about the gardens of the Academus and the Lyceum of Athens in the sunny days of BCE, dining together and arguing the propositions of their masters, Plato and Aristotle, wondering students sought to resolve the great debates over the theory of knowledge Is truth Conceptual art Conceptual art, sometimes simply called conceptualism, is art in which the concept s or idea s involved in the work take precedence over traditional aesthetic, technical, and material concerns.Some works of conceptual art, sometimes called installations, may be constructed by anyone simply by following a set of written instructions This method was fundamental to American artist Sol LeWitt s Instruction Mathematics Teacher Tools Concrete to Concrete to Representational toAbstract C R A Instruction What is the purpose of CRA Instruction The purpose of teaching through a concrete to representational to abstract sequence of instruction is to ensure students develop a tangible understanding of the math concepts skills they learn. Procedural Fluency in Mathematics National Council of Procedural fluency is a critical component mathematical proficiency and is than memorizing facts and procedures. National Library of Virtual Manipulatives A digital library containing Java applets and activities for K mathematics Mathematically Sane Jo Boaler is a renowned scholar of mathematics education who has demonstrated in multiple studies that students who engage actively in their mathematics learning, rather than simply practicing procedures, achieve at higher levels. Conceptual Framework A Step by Step Guide on How to Make What is a conceptual framework How do you prepare one This article defines the meaning of conceptual framework and lists the steps on how to prepare it. Math Snacks Learning Games Lab Math Snacks are games and animations designed to help learners get it Produced in collaboration by mathematics educators, mathematicians, learning specialists and game developers, Math Snacks supplements instruction by making math accessible and conveying topics in a
A real gem. More than an introduction to categories, if you stick with it this is an introduction to topos theory, and more generally an invitation to Lawvere-space. In other words, the treatment is largely synthetic (as opposed to analytic). Brouwer's fixed point theorem is a lovely payoff 1/3rd of the way through, and the Lawvere fixed point theorem that comes later, even better – if the treatment of dynamical systems etc. wasn't a thrill enough for the reader of what is in some respects a t [...]
Great book on category theory with well thought out explanations. It came up in recommendations when I was browsing for Haskell books and I thought I would give it a try. It was an enlightening read. I finally understand the pure mathematical power of category theory after reading this book.
Many people think of mathematics as the operations like addition, subtraction, multiplication or division, or the complicated models used in calculus, linear modeling or differential equations. But mathematics embodies conceptual tools that are as important to understanding math as any other branch of the science. In this work, the authors lay out the concepts of conceptual mathematics in a way that is very understandable to students and to self-learners. Conceptual mathematics is sort of the br [...]
The first 100 pages or so I really enjoyed, but after that, the book gradually became increasingly difficult to follow.It seems clear that it's written by two authors; it consists alternatingly of 'articles' and 'sessions', and the sessions are much easier to follow than the articles. Even so, as the text advances, it becomes clear why Category Theory is also known as Abstract Nonsense (although I do realise that there's supposedly no negative charge in that term).
low level intro to category theory that is uniquely accessible to undergrads
Got to Article 3, Session 11, Exercise 1 and had to put it down for a while. It's an ok book, but not great for learning (for me, at least)
My first attempt to understand what the Haskell folks are really up to. I have a feeling many more attempts will be required!
Definitely the most accessible introduction to category theory in existence.