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Journal ArticleDOI

The Heart of Mathematics.

Paul R. Halmos
- 01 Aug 1980 - 
- Vol. 87, Iss: 7, pp 519-524
TLDR
The Heart of Mathematics as discussed by the authors is a seminal work in the field of mathematics that addresses the problem of mathematical heart disease in the context of mathematics education and science, and includes the following:
Abstract
(1980). The Heart of Mathematics. The American Mathematical Monthly: Vol. 87, No. 7, pp. 519-524.

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Citations
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Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint):

TL;DR: A review of the literature on problem solving and metacognition can be found in this article, where the authors outline and substantiate a broad conceptualization of what it means to think mathematically, summarize the literature relevant to understanding mathematical thinking and problem solving, and point to new directions in research, development and assessment.
Journal ArticleDOI

Affect in Mathematics Education: An Introduction

TL;DR: In this paper, the concept of affect in mathematics education research is introduced and an introduction to the concepts of affect and affect in education research are discussed, including the effects of affect on mathematics education.
Journal ArticleDOI

Introduction to proof: the mediation of a dynamic software environment

TL;DR: In this paper, a long-term teaching experiment carried out in the 9th and 10th grades of a scientific high school is part of a larger co-ordinated research project.
Book

Online Collaborative Learning: Theory and Practice

TL;DR: This resource attempts to answer such important current questions as: how can groups with shared goals work collaboratively using the new technologies?
Journal Article

Reflections on Problem Solving Theory and Practice

TL;DR: The Mathematical Problem Solving (Schoenfeld, 1985) course as mentioned in this paper was one of the first courses in problem-solving at the university level, which was designed to train students to become more effective problem solvers.
References
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Book

Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form

TL;DR: This remarkable book develops the subject of linear algebra in a novel fashion: it presents a logically interconnected sequence of propositions and problems--some 2400 in all--"without proofs" but with a scaffolding of hints and pointers.