📓 The experience and knowledge acquired in teacher education courses should build important fundamentalsfor the future teaching of mathematics. In particular, experience in mathematical problem solving, and inplanning lessons devoted to problem solving, is an essential component of teacher preparation. This bookdevelops a problem solving approach and is intended to be a text used in mathematics education courses (orprofessional development) for pre-service or in-service middle and secondary school teachers. It can be usedboth in graduate and undergraduate courses, in accordance with the focus of teacher preparation programs.The content of the book is suited especially for those students who are further along in their mathematicseducation preparation, as the text is more involved with mathematical ideas and problem solving, anddiscusses some of the intricate pedagogical considerations that arise in teaching. The text is written not as anintroduction to mathematics education (a first course), but rather as a second, or probably, third course. Thebook deals both with general methodology issues in mathematics education incorporating a problem solvingapproach (Chapters 1-6) and with more concrete applications within the context of specific topics - algebra, geometry, and discrete mathematics(Chapters 7-13).The book provides opportunities for teachers to engage in authentic mathematical thinking. The mathematical ideas under consideration build onspecific middle and secondary school ...