The three volumes that will encompass North American Exploration appraise the full scope of the exploration of the North American continent and its oceanic margins from prior to the arrival of Columbus until the end of the nineteenth century. More than an assessment of historical events, these volumes portray the process of exploration. Without forgetting the romance of exploration, the authors recognize that exploration is a great deal more than the adventures themselves. All explorers are conditioned by the time, place, and circumstances of their efforts; these determine objectives, the behavior of explorers, and the consequences of their discoveries. In this first volume we follow the expansion of knowledge from the world of the pre-Columbian explorers through the end of the sixteenth century, with each topic addressed by an expert, and all fitting into a coherent whole. The volume is enhanced by a discussion of the geographical knowledge and beliefs of the native peoples of the North American continent, and how this knowledge influenced the efforts and understanding of the Europeans.
Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses.
The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research.
Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology.
Freitag's MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS: A PROCESS APPROACH was developed using the five Content Standards from the NCTM Principles and Standards for School Mathematics, and the Common Core State Standards for Mathematics. Traditionally, books for pre-service elementary teachers have focused on problem solving. However, problem solving is not the only process through which mathematics is learned. It is also learned through mathematical reasoning, communication, representation, and connections. Recent trends in mathematics education now advocate implementing all five processes as a vital part of learning and doing mathematics. Consequently, you need to have concrete experiences with these processes that you will be required to teach.
A1 Minerals Articles
A1 Minerals Books