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Mathematical Thinking: Why Everyone Should Study Math

Posted By: AvaxGenius
Mathematical Thinking: Why Everyone Should Study Math

Mathematical Thinking: Why Everyone Should Study Math by Howard Karloff
English | PDF EPUB (True) | 2023 | 200 Pages | ISBN : 3031332024 | 15.8 MB

This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has an expansive scope, covering everything from probability and graph theory to infinities and Newton’s method. Many examples of proofs appear as well, offering readers the opportunity to explore these topics with the amount of rigor that suits them. Programming exercises in Python are also included to show how math behaves in action.

Intellectual Development and Mathematics Learning

Posted By: AvaxGenius
Intellectual Development and Mathematics Learning

Intellectual Development and Mathematics Learning by Chongde Lin
English | PDF,EPUB | 2023 | 277 Pages | ISBN : 9811987564 | 7.6 MB

This book introduces the outcomes of author’s 40 years of research, especially the theory of “the Triangular Pyramid Structure of Thinking” that he independently proposed, and the application of his development theory in the field of mathematics education. The book firstly explains the substantial character of intelligence, the development law of intelligence, and the relationship between intelligence development and creativity cultivation. Secondly, it discusses the structure of mathematical thinking of children and adolescents from 0 to 18 years old, and the methods of developing students’ thinking ability and the quality of intelligence through arithmetic learning. In the end, this book also demonstrates the characteristics of the development of mathematical thinking ability of children at age 0-6, elementary school students, and secondary school students, and the related latest research in this field. Based on the theory of “the Triangular Pyramid Structure of Thinking”, a number of examples are given to illustrate how the theory of intelligence development can be used in mathematics teaching to promote the development of students’ thinking abilities and to improve the quality of teaching.