Review the relevance of heuristics in problem-solving approaches in Mathematics Education, what type of heuristics helps learners devise and practice creative solutions; the importance that learners formulate and pursue their own problems.

It cannot be ignored that mathematics itself provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. Teachers were particularly interested in the examples of teaching units proposed in the book.

Focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process.

The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

This book helps pre-service teachers become more effective problem-solvers so they can better teach their students. It is appropriate for elementary school education programs for pre-service teachers.

This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, etc.

This book connects the foundations of teaching elementary math and the “why” behind procedures, formulas and reasoning so students gain a deeper understanding to bring into their own classrooms.

This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished - the analytical meaning, and the representational meaning.

This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.

This handbook for teachers will help them broaden and enrich their students' mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts.

This book gives readers a comprehensive look at the most important concepts in the mathematics taught in grades 9-12. A comprehensive reference book to use throughout their careers or anyone who wants a better understanding of mathematics.

This survey provides a brief and selective overview of the philosophy of mathematics education. It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics.

This book is a very thorough mathematics book for grade 10 - 12 but also has stategies for successful teaching and offers methods to help the student with problem solving and critical thinking skills.

This work examines the main directions of research conducted on the history of mathematics education. Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.

The International Mathematical Olympiad (IMO) is a competition for high school students. This book comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2003 to 2006.

This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. It introduces a variety concepts and methods in modern mathematics.

The book is an alphabetical dictionary and handbook that gives parents of elementary, middle school, and high school students what they need to know to help their children understand the math they're learning.

This book highlights the societal and internal pressures preteen and early-teen girls often face when they excel in these subjects, and it shows strategies for overcoming barriers to being themselves and doing what they love while still fitting in socially.

Help students to develop logical thinking skills and to think abstractly, and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, counterexamples.

This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It helps students transition from solving problems to proving theorems.

This book is an introduction to the language and standard proof methods of mathematics. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra.

Addressing the importance of constructing and understanding mathematical proofs, this book introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics.

The purpose of this book is to acclimatize the student to some of the culture and terminology of mathematics and to begin developing in them a proficiency at reading and writing mathematical proofs.